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clc;
format long;
v=(0:100);
syms v
Q10=symsum((exp((-93./(0.695*10))*(v+0.5)+(0.35/(0.695*10))*(v+0.5).^0.5)),v,0,100);
exp((7*2^(1/2))/278 - 930/139) + exp((21*2^(1/2))/278 - 8370/139) + exp((35*2^(1/2))/278 - 23250/139) + exp((49*2^(1/2))/278 - 45570/139) + exp((63*2^(1/2))/278 - 75330/139) + exp((77*2^(1/2))/278 - 112530/139) + exp((91*2^(1/2))/278 - 157170/139) + exp((7*2^(1/2)*139^(1/2))/278 - 930) + exp((7*2^(1/2)*3^(1/2))/278 - 2790/139) + exp((7*2^(1/2)*5^(1/2))/278 - 4650/139) + exp((7*2^(1/2)*7^(1/2))/278 - 6510/139) + exp((7*2^(1/2)*11^(1/2))/278 - 10230/139) + exp((7*2^(1/2)*13^(1/2))/278 - 12090/139) + exp((7*2^(1/2)*15^(1/2))/278 - 13950/139) + exp((7*2^(1/2)*17^(1/2))/278 - 15810/139) + exp((7*2^(1/2)*19^(1/2))/278 - 17670/139) + exp((7*2^(1/2)*21^(1/2))/278 - 19530/139) + exp((7*2^(1/2)*23^(1/2))/278 - 21390/139) + exp((7*2^(1/2)*27^(1/2))/278 - 25110/139) + exp((7*2^(1/2)*29^(1/2))/278 - 26970/139) + exp((7*2^(1/2)*31^(1/2))/278 - 28830/139) + exp((7*2^(1/2)*33^(1/2))/278 - 30690/139) + exp((7*2^(1/2)*35^(1/2))/278 - 32550/139) + exp((7*2^(1/2)*37^(1/2))/278 - 34410/139) + exp((7*2^(1/2)*39^(1/2))/278 - 36270/139) + exp((7*2^(1/2)*41^(1/2))/278 - 38130/139) + exp((7*2^(1/2)*43^(1/2))/278 - 39990/139) + exp((7*2^(1/2)*45^(1/2))/278 - 41850/139) + exp((7*2^(1/2)*47^(1/2))/278 - 43710/139) + exp((7*2^(1/2)*51^(1/2))/278 - 47430/139) + exp((7*2^(1/2)*53^(1/2))/278 - 49290/139) + exp((7*2^(1/2)*55^(1/2))/278 - 51150/139) + exp((7*2^(1/2)*57^(1/2))/278 - 53010/139) + exp((7*2^(1/2)*59^(1/2))/278 - 54870/139) + exp((7*2^(1/2)*61^(1/2))/278 - 56730/139) + exp((7*2^(1/2)*63^(1/2))/278 - 58590/139) + exp((7*2^(1/2)*65^(1/2))/278 - 60450/139) + exp((7*2^(1/2)*67^(1/2))/278 - 62310/139) + exp((7*2^(1/2)*69^(1/2))/278 - 64170/139) + exp((7*2^(1/2)*71^(1/2))/278 - 66030/139) + exp((7*2^(1/2)*73^(1/2))/278 - 67890/139) + exp((7*2^(1/2)*75^(1/2))/278 - 69750/139) + exp((7*2^(1/2)*77^(1/2))/278 - 71610/139) + exp((7*2^(1/2)*79^(1/2))/278 - 73470/139) + exp((7*2^(1/2)*83^(1/2))/278 - 77190/139) + exp((7*2^(1/2)*85^(1/2))/278 - 79050/139) + exp((7*2^(1/2)*87^(1/2))/278 - 80910/139) + exp((7*2^(1/2)*89^(1/2))/278 - 82770/139) + exp((7*2^(1/2)*91^(1/2))/278 - 84630/139) + exp((7*2^(1/2)*93^(1/2))/278 - 86490/139) + exp((7*2^(1/2)*95^(1/2))/278 - 88350/139) + exp((7*2^(1/2)*97^(1/2))/278 - 90210/139) + exp((7*2^(1/2)*99^(1/2))/278 - 92070/139) + exp((7*2^(1/2)*101^(1/2))/278 - 93930/139) + exp((7*2^(1/2)*103^(1/2))/278 - 95790/139) + exp((7*2^(1/2)*105^(1/2))/278 - 97650/139) + exp((7*2^(1/2)*107^(1/2))/278 - 99510/139) + exp((7*2^(1/2)*109^(1/2))/278 - 101370/139) + exp((7*2^(1/2)*111^(1/2))/278 - 103230/139) + exp((7*2^(1/2)*113^(1/2))/278 - 105090/139) + exp((7*2^(1/2)*115^(1/2))/278 - 106950/139) + exp((7*2^(1/2)*117^(1/2))/278 - 108810/139) + exp((7*2^(1/2)*119^(1/2))/278 - 110670/139) + exp((7*2^(1/2)*123^(1/2))/278 - 114390/139) + exp((7*2^(1/2)*125^(1/2))/278 - 116250/139) + exp((7*2^(1/2)*127^(1/2))/278 - 118110/139) + exp((7*2^(1/2)*129^(1/2))/278 - 119970/139) + exp((7*2^(1/2)*131^(1/2))/278 - 121830/139) + exp((7*2^(1/2)*133^(1/2))/278 - 123690/139) + exp((7*2^(1/2)*135^(1/2))/278 - 125550/139) + exp((7*2^(1/2)*137^(1/2))/278 - 127410/139) + exp((7*2^(1/2)*141^(1/2))/278 - 131130/139) + exp((7*2^(1/2)*143^(1/2))/278 - 132990/139) + exp((7*2^(1/2)*145^(1/2))/278 - 134850/139) + exp((7*2^(1/2)*147^(1/2))/278 - 136710/139) + exp((7*2^(1/2)*149^(1/2))/278 - 138570/139) + exp((7*2^(1/2)*151^(1/2))/278 - 140430/139) + exp((7*2^(1/2)*153^(1/2))/278 - 142290/139) + exp((7*2^(1/2)*155^(1/2))/278 - 144150/139) + exp((7*2^(1/2)*157^(1/2))/278 - 146010/139) + exp((7*2^(1/2)*159^(1/2))/278 - 147870/139) + exp((7*2^(1/2)*161^(1/2))/278 - 149730/139) + exp((7*2^(1/2)*163^(1/2))/278 - 151590/139) + exp((7*2^(1/2)*165^(1/2))/278 - 153450/139) + exp((7*2^(1/2)*167^(1/2))/278 - 155310/139) + exp((7*2^(1/2)*171^(1/2))/278 - 159030/139) + exp((7*2^(1/2)*173^(1/2))/278 - 160890/139) + exp((7*2^(1/2)*175^(1/2))/278 - 162750/139) + exp((7*2^(1/2)*177^(1/2))/278 - 164610/139) + exp((7*2^(1/2)*179^(1/2))/278 - 166470/139) + exp((7*2^(1/2)*181^(1/2))/278 - 168330/139) + exp((7*2^(1/2)*183^(1/2))/278 - 170190/139) + exp((7*2^(1/2)*185^(1/2))/278 - 172050/139) + exp((7*2^(1/2)*187^(1/2))/278 - 173910/139) + exp((7*2^(1/2)*189^(1/2))/278 - 175770/139) + exp((7*2^(1/2)*191^(1/2))/278 - 177630/139) + exp((7*2^(1/2)*193^(1/2))/278 - 179490/139) + exp((7*2^(1/2)*195^(1/2))/278 - 181350/139) + exp((7*2^(1/2)*197^(1/2))/278 - 183210/139) + exp((7*2^(1/2)*199^(1/2))/278 - 185070/139)+exp((7*2^(1/2)*201^(1/2))/278 - 186930/139);
Q250=symsum((exp((-93./(0.695*250))*(v+0.5)+(0.35/(0.695*250))*(v+0.5).^0.5)),v,0,100);
exp((7*2^(1/2))/1390 - 930/139) + exp((7*2^(1/2))/6950 - 186/695) + exp((21*2^(1/2))/6950 - 1674/695) + exp((49*2^(1/2))/6950 - 9114/695) + exp((63*2^(1/2))/6950 - 15066/695) + exp((77*2^(1/2))/6950 - 22506/695) + exp((91*2^(1/2))/6950 - 31434/695) + exp((7*2^(1/2)*5^(1/2))/6950 - 186/139) + exp((7*2^(1/2)*139^(1/2))/6950 - 186/5) + exp((7*2^(1/2)*15^(1/2))/6950 - 558/139) + exp((7*2^(1/2)*3^(1/2))/6950 - 558/695) + exp((7*2^(1/2)*35^(1/2))/6950 - 1302/139) + exp((7*2^(1/2)*45^(1/2))/6950 - 1674/139) + exp((7*2^(1/2)*7^(1/2))/6950 - 1302/695) + exp((7*2^(1/2)*55^(1/2))/6950 - 2046/139) + exp((7*2^(1/2)*65^(1/2))/6950 - 2418/139) + exp((7*2^(1/2)*11^(1/2))/6950 - 2046/695) + exp((7*2^(1/2)*75^(1/2))/6950 - 2790/139) + exp((7*2^(1/2)*13^(1/2))/6950 - 2418/695) + exp((7*2^(1/2)*85^(1/2))/6950 - 3162/139) + exp((7*2^(1/2)*95^(1/2))/6950 - 3534/139) + exp((7*2^(1/2)*17^(1/2))/6950 - 3162/695) + exp((7*2^(1/2)*105^(1/2))/6950 - 3906/139) + exp((7*2^(1/2)*19^(1/2))/6950 - 3534/695) + exp((7*2^(1/2)*115^(1/2))/6950 - 4278/139) + exp((7*2^(1/2)*21^(1/2))/6950 - 3906/695) + exp((7*2^(1/2)*125^(1/2))/6950 - 4650/139) + exp((7*2^(1/2)*23^(1/2))/6950 - 4278/695) + exp((7*2^(1/2)*135^(1/2))/6950 - 5022/139) + exp((7*2^(1/2)*145^(1/2))/6950 - 5394/139) + exp((7*2^(1/2)*27^(1/2))/6950 - 5022/695) + exp((7*2^(1/2)*155^(1/2))/6950 - 5766/139) + exp((7*2^(1/2)*29^(1/2))/6950 - 5394/695) + exp((7*2^(1/2)*165^(1/2))/6950 - 6138/139) + exp((7*2^(1/2)*31^(1/2))/6950 - 5766/695) + exp((7*2^(1/2)*175^(1/2))/6950 - 6510/139) + exp((7*2^(1/2)*33^(1/2))/6950 - 6138/695) + exp((7*2^(1/2)*185^(1/2))/6950 - 6882/139) + exp((7*2^(1/2)*195^(1/2))/6950 - 7254/139) + exp((7*2^(1/2)*37^(1/2))/6950 - 6882/695) + exp((7*2^(1/2)*39^(1/2))/6950 - 7254/695) + exp((7*2^(1/2)*41^(1/2))/6950 - 7626/695) + exp((7*2^(1/2)*43^(1/2))/6950 - 7998/695) + exp((7*2^(1/2)*47^(1/2))/6950 - 8742/695) + exp((7*2^(1/2)*51^(1/2))/6950 - 9486/695) + exp((7*2^(1/2)*53^(1/2))/6950 - 9858/695) + exp((7*2^(1/2)*57^(1/2))/6950 - 10602/695) + exp((7*2^(1/2)*59^(1/2))/6950 - 10974/695) + exp((7*2^(1/2)*61^(1/2))/6950 - 11346/695) + exp((7*2^(1/2)*63^(1/2))/6950 - 11718/695) + exp((7*2^(1/2)*67^(1/2))/6950 - 12462/695) + exp((7*2^(1/2)*69^(1/2))/6950 - 12834/695) + exp((7*2^(1/2)*71^(1/2))/6950 - 13206/695) + exp((7*2^(1/2)*73^(1/2))/6950 - 13578/695) + exp((7*2^(1/2)*77^(1/2))/6950 - 14322/695) + exp((7*2^(1/2)*79^(1/2))/6950 - 14694/695) + exp((7*2^(1/2)*83^(1/2))/6950 - 15438/695) + exp((7*2^(1/2)*87^(1/2))/6950 - 16182/695) + exp((7*2^(1/2)*89^(1/2))/6950 - 16554/695) + exp((7*2^(1/2)*91^(1/2))/6950 - 16926/695) + exp((7*2^(1/2)*93^(1/2))/6950 - 17298/695) + exp((7*2^(1/2)*97^(1/2))/6950 - 18042/695) + exp((7*2^(1/2)*99^(1/2))/6950 - 18414/695) + exp((7*2^(1/2)*101^(1/2))/6950 - 18786/695) + exp((7*2^(1/2)*103^(1/2))/6950 - 19158/695) + exp((7*2^(1/2)*107^(1/2))/6950 - 19902/695) + exp((7*2^(1/2)*109^(1/2))/6950 - 20274/695) + exp((7*2^(1/2)*111^(1/2))/6950 - 20646/695) + exp((7*2^(1/2)*113^(1/2))/6950 - 21018/695) + exp((7*2^(1/2)*117^(1/2))/6950 - 21762/695) + exp((7*2^(1/2)*119^(1/2))/6950 - 22134/695) + exp((7*2^(1/2)*123^(1/2))/6950 - 22878/695) + exp((7*2^(1/2)*127^(1/2))/6950 - 23622/695) + exp((7*2^(1/2)*129^(1/2))/6950 - 23994/695) + exp((7*2^(1/2)*131^(1/2))/6950 - 24366/695) + exp((7*2^(1/2)*133^(1/2))/6950 - 24738/695) + exp((7*2^(1/2)*137^(1/2))/6950 - 25482/695) + exp((7*2^(1/2)*141^(1/2))/6950 - 26226/695) + exp((7*2^(1/2)*143^(1/2))/6950 - 26598/695) + exp((7*2^(1/2)*147^(1/2))/6950 - 27342/695) + exp((7*2^(1/2)*149^(1/2))/6950 - 27714/695) + exp((7*2^(1/2)*151^(1/2))/6950 - 28086/695) + exp((7*2^(1/2)*153^(1/2))/6950 - 28458/695) + exp((7*2^(1/2)*157^(1/2))/6950 - 29202/695) + exp((7*2^(1/2)*159^(1/2))/6950 - 29574/695) + exp((7*2^(1/2)*161^(1/2))/6950 - 29946/695) + exp((7*2^(1/2)*163^(1/2))/6950 - 30318/695) + exp((7*2^(1/2)*167^(1/2))/6950 - 31062/695) + exp((7*2^(1/2)*171^(1/2))/6950 - 31806/695) + exp((7*2^(1/2)*173^(1/2))/6950 - 32178/695) + exp((7*2^(1/2)*177^(1/2))/6950 - 32922/695) + exp((7*2^(1/2)*179^(1/2))/6950 - 33294/695) + exp((7*2^(1/2)*181^(1/2))/6950 - 33666/695) + exp((7*2^(1/2)*183^(1/2))/6950 - 34038/695) + exp((7*2^(1/2)*187^(1/2))/6950 - 34782/695) + exp((7*2^(1/2)*189^(1/2))/6950 - 35154/695) + exp((7*2^(1/2)*191^(1/2))/6950 - 35526/695) + exp((7*2^(1/2)*193^(1/2))/6950 - 35898/695) + exp((7*2^(1/2)*197^(1/2))/6950 - 36642/695) + exp((7*2^(1/2)*199^(1/2))/6950 - 37014/695) + exp((7*2^(1/2)*201^(1/2))/6950 - 37386/695);
Q300=symsum((exp((-93./(0.695*300))*(v+0.5)+(0.35/(0.695*300))*(v+0.5).^0.5)),v,0,100);
exp((7*2^(1/2))/1668 - 775/139) + exp((7*2^(1/2))/2780 - 279/139) + exp((21*2^(1/2))/2780 - 2511/139) + exp((7*2^(1/2))/8340 - 31/139) + exp((49*2^(1/2))/8340 - 1519/139) + exp((77*2^(1/2))/8340 - 3751/139) + exp((91*2^(1/2))/8340 - 5239/139) + exp((7*2^(1/2)*139^(1/2))/8340 - 31) + exp((7*2^(1/2)*3^(1/2))/8340 - 93/139) + exp((7*2^(1/2)*5^(1/2))/8340 - 155/139) + exp((7*2^(1/2)*7^(1/2))/8340 - 217/139) + exp((7*2^(1/2)*11^(1/2))/8340 - 341/139) + exp((7*2^(1/2)*13^(1/2))/8340 - 403/139) + exp((7*2^(1/2)*15^(1/2))/8340 - 465/139) + exp((7*2^(1/2)*17^(1/2))/8340 - 527/139) + exp((7*2^(1/2)*19^(1/2))/8340 - 589/139) + exp((7*2^(1/2)*21^(1/2))/8340 - 651/139) + exp((7*2^(1/2)*23^(1/2))/8340 - 713/139) + exp((7*2^(1/2)*27^(1/2))/8340 - 837/139) + exp((7*2^(1/2)*29^(1/2))/8340 - 899/139) + exp((7*2^(1/2)*31^(1/2))/8340 - 961/139) + exp((7*2^(1/2)*33^(1/2))/8340 - 1023/139) + exp((7*2^(1/2)*35^(1/2))/8340 - 1085/139) + exp((7*2^(1/2)*37^(1/2))/8340 - 1147/139) + exp((7*2^(1/2)*39^(1/2))/8340 - 1209/139) + exp((7*2^(1/2)*41^(1/2))/8340 - 1271/139) + exp((7*2^(1/2)*43^(1/2))/8340 - 1333/139) + exp((7*2^(1/2)*45^(1/2))/8340 - 1395/139) + exp((7*2^(1/2)*47^(1/2))/8340 - 1457/139) + exp((7*2^(1/2)*51^(1/2))/8340 - 1581/139) + exp((7*2^(1/2)*53^(1/2))/8340 - 1643/139) + exp((7*2^(1/2)*55^(1/2))/8340 - 1705/139) + exp((7*2^(1/2)*57^(1/2))/8340 - 1767/139) + exp((7*2^(1/2)*59^(1/2))/8340 - 1829/139) + exp((7*2^(1/2)*61^(1/2))/8340 - 1891/139) + exp((7*2^(1/2)*63^(1/2))/8340 - 1953/139) + exp((7*2^(1/2)*65^(1/2))/8340 - 2015/139) + exp((7*2^(1/2)*67^(1/2))/8340 - 2077/139) + exp((7*2^(1/2)*69^(1/2))/8340 - 2139/139) + exp((7*2^(1/2)*71^(1/2))/8340 - 2201/139) + exp((7*2^(1/2)*73^(1/2))/8340 - 2263/139) + exp((7*2^(1/2)*75^(1/2))/8340 - 2325/139) + exp((7*2^(1/2)*77^(1/2))/8340 - 2387/139) + exp((7*2^(1/2)*79^(1/2))/8340 - 2449/139) + exp((7*2^(1/2)*83^(1/2))/8340 - 2573/139) + exp((7*2^(1/2)*85^(1/2))/8340 - 2635/139) + exp((7*2^(1/2)*87^(1/2))/8340 - 2697/139) + exp((7*2^(1/2)*89^(1/2))/8340 - 2759/139) + exp((7*2^(1/2)*91^(1/2))/8340 - 2821/139) + exp((7*2^(1/2)*93^(1/2))/8340 - 2883/139) + exp((7*2^(1/2)*95^(1/2))/8340 - 2945/139) + exp((7*2^(1/2)*97^(1/2))/8340 - 3007/139) + exp((7*2^(1/2)*99^(1/2))/8340 - 3069/139) + exp((7*2^(1/2)*101^(1/2))/8340 - 3131/139) + exp((7*2^(1/2)*103^(1/2))/8340 - 3193/139) + exp((7*2^(1/2)*105^(1/2))/8340 - 3255/139) + exp((7*2^(1/2)*107^(1/2))/8340 - 3317/139) + exp((7*2^(1/2)*109^(1/2))/8340 - 3379/139) + exp((7*2^(1/2)*111^(1/2))/8340 - 3441/139) + exp((7*2^(1/2)*113^(1/2))/8340 - 3503/139) + exp((7*2^(1/2)*115^(1/2))/8340 - 3565/139) + exp((7*2^(1/2)*117^(1/2))/8340 - 3627/139) + exp((7*2^(1/2)*119^(1/2))/8340 - 3689/139) + exp((7*2^(1/2)*123^(1/2))/8340 - 3813/139) + exp((7*2^(1/2)*125^(1/2))/8340 - 3875/139) + exp((7*2^(1/2)*127^(1/2))/8340 - 3937/139) + exp((7*2^(1/2)*129^(1/2))/8340 - 3999/139) + exp((7*2^(1/2)*131^(1/2))/8340 - 4061/139) + exp((7*2^(1/2)*133^(1/2))/8340 - 4123/139) + exp((7*2^(1/2)*135^(1/2))/8340 - 4185/139) + exp((7*2^(1/2)*137^(1/2))/8340 - 4247/139) + exp((7*2^(1/2)*141^(1/2))/8340 - 4371/139) + exp((7*2^(1/2)*143^(1/2))/8340 - 4433/139) + exp((7*2^(1/2)*145^(1/2))/8340 - 4495/139) + exp((7*2^(1/2)*147^(1/2))/8340 - 4557/139) + exp((7*2^(1/2)*149^(1/2))/8340 - 4619/139) + exp((7*2^(1/2)*151^(1/2))/8340 - 4681/139) + exp((7*2^(1/2)*153^(1/2))/8340 - 4743/139) + exp((7*2^(1/2)*155^(1/2))/8340 - 4805/139) + exp((7*2^(1/2)*157^(1/2))/8340 - 4867/139) + exp((7*2^(1/2)*159^(1/2))/8340 - 4929/139) + exp((7*2^(1/2)*161^(1/2))/8340 - 4991/139) + exp((7*2^(1/2)*163^(1/2))/8340 - 5053/139) + exp((7*2^(1/2)*165^(1/2))/8340 - 5115/139) + exp((7*2^(1/2)*167^(1/2))/8340 - 5177/139) + exp((7*2^(1/2)*171^(1/2))/8340 - 5301/139) + exp((7*2^(1/2)*173^(1/2))/8340 - 5363/139) + exp((7*2^(1/2)*175^(1/2))/8340 - 5425/139) + exp((7*2^(1/2)*177^(1/2))/8340 - 5487/139) + exp((7*2^(1/2)*179^(1/2))/8340 - 5549/139) + exp((7*2^(1/2)*181^(1/2))/8340 - 5611/139) + exp((7*2^(1/2)*183^(1/2))/8340 - 5673/139) + exp((7*2^(1/2)*185^(1/2))/8340 - 5735/139) + exp((7*2^(1/2)*187^(1/2))/8340 - 5797/139) + exp((7*2^(1/2)*189^(1/2))/8340 - 5859/139) + exp((7*2^(1/2)*191^(1/2))/8340 - 5921/139) + exp((7*2^(1/2)*193^(1/2))/8340 - 5983/139) + exp((7*2^(1/2)*195^(1/2))/8340 - 6045/139) + exp((7*2^(1/2)*197^(1/2))/8340 - 6107/139) + exp((7*2^(1/2)*199^(1/2))/8340 - 6169/139) + exp((7*2^(1/2)*201^(1/2))/8340 - 6231/139);
P10=(1./Q10).*exp((-93./(0.695*10)).*(v+0.5)+(0.35/(0.695*10)).*(v+0.5).^0.5);
P250=(1./Q250).*exp((-93./(0.695*250)).*(v+0.5)+(0.35/(0.695*250)).*(v+0.5).^0.5);
P300=(1./Q300).*(exp((-93./(0.695.*300)).*(v+0.5)+(0.35/(0.695.*300)).*(v+0.5).^0.5));
E=92.65*v-0.35*v.^2.+46.41;
D=92.65*(v+1)-0.35*(v+1).^2+46.41;
f=D-E;

Answer 1

[Matt J]

Works fine for me,

f =

(7*v^2)/20 - (7*(v + 1)^2)/20 + 1853/20

Answer 2

[Walter Roberson]

Remember that when you use

v=(0:100);
syms v

that the "syms v" is effectively

v = sym('v');

which is to say "syms" is an assignment statement that is going to overwrite the numeric value you previously had for v.