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Using transformation rules and your knowledge of trigonometric functions, draw the graph y=2sin(2x)

would use paper to show the student the final answer Your answer will be based around the graph of y=sin(x), which has a y maximum of 1 and minimum of -1, and one full cycle is completed by 2 pi....

VM
Answered by Victoria M. Maths tutor
5366 Views

Differentiate the following equation: y = 2(x^3) - 6x

Firstly we look at the term 2(x^3). The power of x (in this case 3) is multiplied by the factor of x (in this case 2) and the power is then reduced by 1. This means it is 2x3(x^{3-1}) which simplifies to ...

AW
Answered by Anna W. Maths tutor
3311 Views

Solve the equation (3x + 2)/(x - 1) + 3 = 4 (3 marks)

First, multiply all terms by (x - 1) to remove the quotient, and multiply out of the brackets: 3x + 2 + 3(x - 1) = 4(x - 1) >>> 3x + 2 + 3x - 3 = 4x - 4. Next, group all like terms on either side...

DP
Answered by Daniel P. Maths tutor
3491 Views

y = 3x^2 + 2x^(1/2) - 12 Find dy/dx

Firstly we divide up the equations into its three compenents based on the powers of the x values, giving us 3x^2, 2x^(1/2) and -12. Now one at a time, we multiply the coefficient by the power of x, and th...

SR
Answered by Sam R. Maths tutor
5434 Views

Solving 2tan(x) - 3sin(x) = 0 for -pi ≤ x < pi

The first step to answering this question is to get the equation in a simpler form. Aim to have it solely in terms of sin(x) and cos(x) with no fractional parts.                                           ...

BA
Answered by Benjamin A. Maths tutor
20269 Views

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