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Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?

23 hours ago

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Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?

23 hours ago

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Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

24 hours ago

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Sum of series IV
What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?

24 hours ago

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Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?

24 hours ago

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Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

24 hours ago

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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

24 hours ago

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Verify Law of Large Numbers
If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,....

2 months ago

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Solve a System of Linear Equations
Example: If a system of linear equations in x₁ and x₂ is: 2x₁ + x₂ = 2 x₁ - 4 x₂ = 3 Then the coefficient matrix (A) is: 2 ...

2 months ago

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Find the Oldest Person in a Room
Given two input vectors: * |name| - user last names * |age| - corresponding age of the person Return the name of the ol...

2 months ago

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Velocity Conversion
Given a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.

2 months ago

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Electrical Diode Current Calculation
In engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instanc...

2 months ago

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Resistance of a light bulb
The current through two identical light bulbs connected in series is C Amperes. The total voltage across both bulbs is V Volts....

2 months ago

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Find the mass of a rod
Determine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram. In the diagram L1, L2, L3 are di...

2 months ago

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Calculate load on arm 1
A robot is designed with a motor directly attached at the pivot point of the lifting arm. The L inch arm has a weight of W1 lbs...

2 months ago

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Mechanical Advantage of a Gear Train
Calculate the mechanical advantage of a gear train. The mechanical advantage of a gear couple is given by MA = T_o/T_i where ...

2 months ago

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Magnitude of Balancing Force
A box weighing W1 pounds is placed where its center of mass is located d1 ft from the fulcrum. A balancing force is placed at th...

2 months ago

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Find the force required to support a lever
Students are designing a robot that will lift a block to the equilibrium position for transport to the scoring area. They have d...

2 months ago

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Coefficient of Kinetic friction
A robot exerts a F1 lb. force horizontally on a W lb. crate across a concrete floor at a constant speed. What is the coefficien...

2 months ago

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Coefficient of Static friction
The coefficient of static friction between two surfaces is u. What force must be used to move a W lb. crate on a horizontal sur...

2 months ago

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Coefficient of Sliding Friction
A weight of W1 N rests on a horizontal plane. The plane is gradually inclined until at an angle θ = Ao with the horizontal, the ...

2 months ago

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Basic Mathematics 2
If a 4’ x 8’ sheet of ½” plywood weighs W lbs and you cut an L” x L” robot base from this material, approximately how much weigh...

2 months ago

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Basic Mathematics 1
If a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in directio...

2 months ago

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Resistance of a robot
What is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? R...

2 months ago

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Create times-tables
At one time or another, we all had to memorize boring times tables. 5 times 5 is 25. 5 times 6 is 30. 12 times 12 is way more th...

2 months ago

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Swap the input arguments
Write a two-input, two-output function that swaps its two input arguments. For example: [q,r] = swap(5,10) returns q = ...

2 months ago

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Magic is simple (for beginners)
Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.

2 months ago

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Whether the input is vector?
Given the input x, return 1 if x is vector or else 0.

2 months ago

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Doubling elements in a vector
Given the vector A, return B in which all numbers in A are doubling. So for: A = [ 1 5 8 ] then B = [ 1 1 5 ...

2 months ago

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Flip the vector from right to left
Flip the vector from right to left. Examples x=[1:5], then y=[5 4 3 2 1] x=[1 4 6], then y=[6 4 1]; Request not to use d...

2 months ago