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Express 9^3x + 1 in the form3^y ?

In these types of question, you need to find out how the integer relates to the new integer - it will be by integrals. We can see that 9 is just 3 x 3 which is 3^2. Thus we now have 3^2(3x +1). As we know...

PM
Answered by Polly M. Maths tutor
3381 Views

The equation of line L1 is y=5x-2. The equation of line L2 is 4y-20x=6. Show that these two lines are parallel.

Let's start by recalling that two lines are parallel when their gradients are equal. We know that the gradient of the line y=mx+c, is m. So the gradient of L1 is 5 as the equation of the line is already i...

OC
Answered by Oliver C. Maths tutor
3227 Views

Find the x-coordinates of the stationary points on the graph with equation f(x)= x^3 + 3x^2 - 24x

This answer has 3 steps:1) find the derivative, f’(x), of the function2) factorise the derivative 3) set equal to zero and solve for x1) f’(x) = 3x^2 + 6x - 242)f’(x) = 3(x^2 + 2x - 8)3) x^2 + 2x - 8 = 0 ...

ZJ
Answered by Zaynab J. Maths tutor
3531 Views

A mass of 3kg rests on a rough plane inclined at 60 degrees to the horizontal. The coefficient of friction is 1/5. Find the force P acting parallel to the plane applied to the mass, in order to just prevent motion down the plane.

Firstly draw a diagram of the problem.Then resolve the forces into their components parallel and perpendicular to the plane.Resolving parallel: P + Fmax = 3gsin(60) equation 1.Resolving perpendicular: R =...

JM
Answered by Jonathan M. Maths tutor
4164 Views

Consider the infinite geometric sequence 25 , 5 , 1 , 0.2 , ... (a) Find the common ratio. (b) Find (i) the 10th term; (ii) an expression for the nth term. (c) Find the sum of the infinite sequence.

QUESTION (a) R = U(n+1)/U(n ) = 5/25= 0.2(b) (i) U(10) = 25 x (1/5)^9 = 0.0000128 (ii) U(n) = 25 x (1/5)^(n-1)(c) S = U(1)/(1-r) = 25/(1-(1/5))=25/(4/5))=125/4=31.25

CR
Answered by Carlota R. Maths tutor
5955 Views

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