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Find the equation of the normal to the curve y = 2x^2 -3x +7 at the point x = 1.

Thinking about the normal, it is a line which cuts the curve at right angles, and so will have the form y = mx + c. Now at the point where x = 1, we know the y value from the curve's equation is y = 2(1) 2 -...
MJ
Answered by Matthew J. • Maths tutor
9290 Views

A curve with equation y=f(x) passes through point P at (4,8). Given that f'(x)=9x^(1/2)/4+5/2x^(1/2)-4 find f(X).

To find f(x) using its derivative, first integrate f'(x) with respect to x using the 'add one to the power and divide by the new power' technique remembering to add the constant c. To make this easier, turn ...
EC
Answered by Em C. • Maths tutor
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Integrate the function y = 2x^2 + 3x + 8 with respect to x.

Answer = 2x^3/3 + 3x^2/2 + 8x + CThis is an example of numerical integration from C1. To begin to answer this question, we can integrate each term at a time. To integrate this function, we raise the power of...
MC
Answered by Michael C. • Maths tutor
4763 Views

How can I find the stationary point of y = e^2x cos x?

At a stationary point of y, dy/dx = 0. Step 1: Let's find dy/dx first by differentiating. To differentiate the product of two functions, we can use the product rule :d(fg)/dx = f * dg/dx + df/dx * g. So dy/d...
MT
Answered by Meg T. • Maths tutor
13413 Views

Find the exact solution to the equation: ln(3x-7) =5

Ln(3x-7)=5 Remove logs from both sides 3x-7=e 5 Rearrange to make x the subject3x=e 5 +7x= e 5 +7 3
LH
Answered by Lily H. • Maths tutor
9256 Views