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Let f(x) = 2x^3 + x^2 - 5x + c. Given that f(1) = 0 find the values of c.

In order to solve this question we simply must substitute x=1 into f(x). If we carry out this substitution we see that f(1) = 2(1^3) + (1^3) -5(1) + c = 2(1) + (1) -5(1) + c = 2 + 1 - 5 + c = 3 - 5 + c = c -...
CL
Answered by Calum L. • Maths tutor
4128 Views

I have a bag with 4 different coloured marbles. Blue, green, red, and orange. I have 2x,7,7x + 5,4x -3 of each coloured marble respectively. If the probability of a green marble being picked is 7/100, find the probability of an orange marble being picked.

Let's reorgansie the information we've been provided with in the question: Colour of marble - number of marbles in the bag Blue - 2x Green - 7 Red - 7x + 5 Orange - 4x - 3 Probability of the green marble bei...
GM
Answered by Georgina M. • Maths tutor
5201 Views

Simplify the expression: (x^2 + x - 6)/(3x^2 + 9x)

Factorise the numerator: x^2 + x - 6 = (x+3)(x-2) Factorise the denominator: 3x^2 + 9x = 3x(x+3) Cancel '(x+3)' Answer: (x-2)/3x
RD
Answered by Richard D. • Maths tutor
4344 Views

sin(x)/(cos(x)+1) + cos(x)/(sin(x)+1) = 1

sin^2(x) + sin(x) + cos^2(x) + cos(x) = cos(x)sin(x) + cos(x) + sin(x) +1 (sin^2(x) + cos^2(x) =1) Therefore; 1 +sin(x) + cos(x) = cos(x)sin(x) + sin(x) +cos(x) +1 Cancelling out on both sides cos(x)sin(x) =...
JO
Answered by James O. • Maths tutor
4458 Views

What is the indefinite integral of cos^2x?

List Trigonmetric identities which could help to simpilfy integral Use cos(2x)= Cos 2 x-sin 2 x and sin 2 x=1-cos 2 x Sub identity 2 into 1 and rearrange to show Cos 2 x=(1+cos2x)/2 and integrate to find the...
JM
Answered by Jake M. • Maths tutor
3805 Views