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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?

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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?

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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?

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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?

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Sum of series
a(n) = n^2 - (n-1)^2 find the summation of the series upto n i.e. a(1)+a(2)+...+a(n)

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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?

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Calculate Engine Power
Calculate Engine Power (P) in kW given the values of Torque(M) in Nm and Engine Speed(n) in rpm

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Total energy

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Kinetic energy calculation

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Laws of motion 1

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Laws of motion 2

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Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.

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Laws of motion 5

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Perfect Square or not
find Given input x is perfect square or not,if yes then output y=1.else y=0

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Given area find sides
In a right angle triangle given area 'A' one arm=x, another arm=2x then find the value of x. For example, area A=400 then ...

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CONVERT TAN TO SIN
In a right angle triangle ABC given the tan(A) then find sin(A) For example tan(A)=3/4 then sin(A)=3/5

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Unit conversion
Convert x degree Celsius to y degree Fahrenheit.

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Finding perimeter of a rectangle
A rectangle has a length of x centimeters and a width of w centimeters. Find the perimeter.

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Find the area of a triangle
Given a triangle with a base b and height h, return the triangle area.

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raise x to the nth power
use basic math operators and a variable to solve the problem for a given variable n. (make sure "n" is the variable you use)

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multiply by 12
multiply x by 12

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Calculate compression ratio of engine
Calculate compression ratio of engine given compression volume of cylinder(Vc), piston stroke(s) and valve diameter(d)

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Energy of an object
Calculate the total mechanical energy of an object. Total Energy= Potential energy + Kinetic energy P.E.=m*g*h K.E.=1/2...

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Television Screen Dimensions
Given a width to height ratio of a TV screen given as _w_ and _h_ as well as the diagonal length of the television _l_, return t...

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Calculate supply voltage and total current
Three resistors are connected in series and each has a resistance in ohms. Resistor R2 has a voltage drop of ΔV2volts Find the ...

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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...

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How long do each of the stages of the rocket take to burn?
A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

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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 ...

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Linear Motion 7
A robot has a maximum rate of acceleration of a m/s2. If the robot starts from rest and reaches a velocity of v2 m/s. How far ha...

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Linear Motion 6
An experimental vehicle traveling at v1 m/s is brought to a full stop in t seconds. How far does it travel before stopping? Roun...

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