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A curve has the equation y=7-2x^5, find dy/dx of this curve

When you differentiate with respect to x, dy/dx, you multiply the number in front of the x by the power of the x then you take one away from the power.So for this example, the 2x 5 differentiates to:(2x5)x (...
EC
Answered by Emily C. • Maths tutor
5234 Views

3 girls and 4 boys are seated randomly on a bench. Find the probability that the girls set together and the boys sit together.

The number off total arrangements is 7!(permutation). The number of ways for which the girls and boys sit togehter is 3! 4! 2. The probability is the division of the number of way by the total possibilities,...
LL
Answered by Lina L. • Maths tutor
2874 Views

Solve (sec (x))^2 + 2tan(x) = 0

Using the trigonometric identity: (sec(x))^2 = (tan(x))^2 + 1 we get to (tan(x))^2 + 2tan(x) + 1 = 0. We can express this result as the multiplication of 2 equal factors arriving at (tan(x) + 1)^2 = 0. This ...
LL
Answered by Lina L. • Maths tutor
2285 Views

Expand and simplify (x − 4)(2x + 3y)^2

You should start off by separating the brackets as the squared only applies to one of them. We'll deal with that one first. Write the (2x + 3y)^2 as two separate brackets of (2x+3y). Then multiply the first ...
LB
Answered by Lois B. • Maths tutor
5005 Views

Factorise and solve x^2 - 8x + 15 = 0

Look for factors of 15 then when adding together equal -8. A solution to this is -5 and -3 as -5 x -3=15 and (-5)+(-3)=-8 . Therefore the factors of the quadratic are (x-5) and (x-3). Make (x-5)(x-3)=0 so bo...
AS
Answered by Amrit S. • Maths tutor
3650 Views