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Evaluate the indefinite integral when the integrand function is tan(x).

To solve this problem we will use a clever substitution to easily integrate and thus obtain the answer.First we can represent tan(x) as its fractional equivalent sin(x)/cos(x), assigning the variable u to...

JN
2633 Views

solve the simultaneous equation: 3x+y=7, 2x+4y=8

First, we need to remove one of the variables from one of the equations. In this case, we multiply the first equation by 4 to give 12x+4y=28.Then minus the 2nd equation from this to give 10x+0y=20.Now div...

MT
Answered by Matthew T. Maths tutor
4222 Views

Using Pythagoras' theorem, show that sin^2(x)+cos^2(x)=1 for all x.

Take a right angled triangle with hypotenuse of length 1, and angle at the bottom of the hypotenuse equal to x. We will let o denote the length of the side opposite the angle, and a denote the length of t...

Answered by Maths tutor
2676 Views

Given x = 3sin(y/2), find dy/dx in terms of x, simplifying your answer.

The first step is to find dx/dy in terms of y, which when differentiating comes out as 3/2cos(y/2), so dy/dx in terms of y is the reciprocal of this.The next step is to eliminate the y dependent terms, wh...

MA
Answered by Max A. Maths tutor
5697 Views

Describe how the products of the Light dependent stage of photosynthesis are used in the Calvin cycle (3marks)

Reduced NADP is used to reduce GP to TP. The ATP provides the energy needed for the reduction of the aforementioned reaction. It also provides a phosphate ion to regenerate RuBP from TP.

BC
Answered by Bill C. Biology tutor
2860 Views

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