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Find the integral of (sinxcos^2x) dx

To find the Integral of (sinxcos^2x) dx, we must first use our knowledge of integration and differentiation of simple trigonometric functions. Such as Sinx and Cosx. Combined with our knowledge of integra...

ZS
Answered by Zachary S. Maths tutor
16060 Views

Given that y = 16x + x^(-1), find the two values of x for which dy/dx = 0

The first thing required is to find out what dy/dx is in terms of x. For this, we need to differentiate y with respect to x which be can so to each term of the polynomial. All you need to do is mutiply th...

JM
Answered by James M. Maths tutor
7480 Views

There is a cube with a length 3x. The expression for the volume in cubic centimeters is equal to the expression for the surface area in square centimeters. Calculate the length of a side of the cube.

volume = SA (3x)= (3x)2 x 6 27x3 = 9x2 x 6 27x3 = 54x2 27x = 54 27x - 54 = 0 27(x - 2) = 0 x - 2 = 0 x = 2 The question asks for the len...

SD
Answered by Sofia D. Maths tutor
6938 Views

Find ∫(x^3+x^2+6)dx.

∫(x3+x2+6)dx= ∫x3dx +∫x2dx+∫6dx =x4/4 +x3/3 +6x+C.

GI
Answered by Georgiana I. Maths tutor
6158 Views

How do you 'complete the square' of a quadratic equation?

To complete the square, we need to rearrange the quadratic equation in the form of ax2 + bx + c into the form r(x + p)2 + q, where our task is to find the values of the unkowns of r,...

RB
Answered by Ryan B. Maths tutor
3122 Views

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