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How to differentiate y=2x(x-2)^5 to find dy/dx?

Firstly, you should formulate the problem by using the product rule, which is: dy/dx = u'v + v'u By assigning u=2x and v=(x-2) 5 , the terms u' and v' can be obtained knowing that u' simply means differentia...
AP
Answered by Anup P. • Maths tutor
6311 Views

Solve for x and y: x ^2 +2y = 9,y = x + 3

Replace y with x + 3. x^2 + 2(x+3) = 9 2) Expand the bracket, and subtract 9. x^2 + 2x - 3 = 0 3) Factorise the quadratic(x - 1)(x + 3) = 0 4) Therefore, x has 2 solutions. x = 1 and x = -3. 5) Find correspo...
CK
Answered by Changavy K. • Maths tutor
3166 Views

what is 87% of 654

First, lets find 1%. TO do this, divide 654 by 100. This is because 654 is 100%, so 654/100 is 100/100% = 1%. Now that we have 1%, multiply this by 87 to find out what is 87%.
NZ
Answered by Nikita Z. • Maths tutor
1305 Views

Find the equation of the line that passes through ( 5 , -4 ) and (3,8).

The equation of a straight line takes the form of y=mx+c where m is the gradient of the line and c is the y-intercept (where the line crosses the y-axis). The best way to start this question is to draw a rou...
KZ
Answered by Ksenia Z. • Maths tutor
5018 Views

How do you calculate the area of a triangle when the question tells you the length of all three sides but no angles?

use the cosine rule to get angle A; cos(A) = (b 2 + c 2 - a 2 )/2bc2) Use '1/2 x a b x sin(C)' to get the area of the triangleNote: the side 'a' is the one opposite angle A
TH
Answered by Tom H. • Maths tutor
3433 Views