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The line AB has equation 5x+3y+3=0. The line AB is parallel to the line with equation y=mx+7 . Find the value of m.

Rearrange first equation to show y=-5/3x-1

lines are parallel therefore gradient is the same

m=-5/3

IC
Answered by Isabel C. Maths tutor
3889 Views

Find the curve whose gradient is given by dy/dx=xy and which passes through the point (0,3)

First "Separate the Variables" by rearranging the equation to get the ys on the LHS and the xs on the RHS:

(1/y) dy=x dx

Now Integrate:

Integral(1/y) dy = Integral(x) dx

...
CC
Answered by Christian C. Maths tutor
3637 Views

Here are some fractions: 3/10, 2/8, 4/12, 12/40, 5/20. Which of these fractions are equivalent to 1/4?

Before we begin lets quickly do some reviewing. What are fractions and how can we write them? Fractions are often used when we don't want to write down numbers that are really long. A fraction...

ML
Answered by Michael L. Maths tutor
7791 Views

Express 3/2x+3 – 1/2x-3 + 6/4x^2-9 as a single fraction in its simplest form.

First it is necessary to notice that 4x^2-9 can be written as (2x-3)(2x+3). To solve this question, you first have to write all the fractions in terms of their lowest common denominator. In this case that...

DS
Answered by Dhian S. Maths tutor
12563 Views

By using partial fractions, integrate the function: f(x) = (4-2x)/(2x+1)(x+1)(x+3)

(4-2x)/(2x+1)(x+1)(x+3) = A/(2x+1) + B/(x+1) + C/(x+3) 4-2x = A(x+1)(x+3) + B(2x+1)(x+3) + C(2x+1)(x+1) let x = -1: 4-2(-1) = B(2(-1)+1)((-1)+3) 6 = B(-1)(2) B = -3 let x = -3: 4-2(-3)= C(2(-3)+1)((-3)+1)...

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Answered by Oliver F. Maths tutor
8172 Views

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