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(a) Express 9x+11/(2x+3)(x-1) as partial fractions and (b) find the integral of 9x+11/(2x+3)(x-1) with respect to x

(a) 9x+11/(2x+3)(x-1) = A/2x+3 + B/x-1 9x+11 = (x-1)A + (2x+3)B Setting x=1 gives B=4, setting x=-3/2 gives A=1 so the final answer is 1/(2x+3) + 4/(x-1) (b) 1/2ln|2x+3| + 4ln|x-1| + c
AT
Answered by Amelia T. • Maths tutor
5844 Views

Find W where: 11-W/4 = 1+W

11-W/4 = 1+W 11-W = 4+4W (Multiply both sides by 4) 11 = 4+5W (Add W to both sides) 7 = 5W ( Subtract 4 from both sides) W = 7/5 (Divide both sides by 5 to get your final answer)
LW
Answered by Liam W. • Maths tutor
10985 Views

Find the derivative and following function and hence find the value of coordinates for when the function is at a stationary point:

y = e x x 2 + e x : The derivative can be found using the chain rule. (A reminder of the chain rule: if y is a product of two functions of x i.e if y = F(x)G(x) , the derivative is as follows: y I = F I (x)G...
MC
Answered by Michael C. • Maths tutor
4102 Views

The formula for finding the circumference of a circle is Equation: C = 2(pi)r . What can we do if we know the circumference but want to know the radius?

Rearange the equation to make r the subject of the formula. So we divide both sides by 2(pi)
AM
Answered by Amy M. • Maths tutor
7317 Views

A circular ice rink has a diameter of 60 meters. Calculate the area of the ice rink in terms of π in meters

Area of a cirlce = π x r^2 The radius (r) = the diameter / 2 So, r = 60/2 = 30 Therefore, the area of the ice rink = π x 30^2 = 900π
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Answered by Sophie K. • Maths tutor
6194 Views