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Earth is being added to a pile so that, when the height of the pile is h metres, its volume is V cubic metres, where V = (h6 + 16) 1 2 − 4.Find the value of dV/dh when h = 2.

As V=(h6+16)1/2 -4, the chain rule can be used to calculate dV/dh.

dV/dh=3h5(h6+16)-1/2

h=2 can be su...

Answered by Lewis K. Maths tutor
5616 Views

Work out 51% of 400?

51/100 * 400 = 51/100 * 400/1 = 51/1 * 4/1

= 204 

Answered by Thana T. Maths tutor
4763 Views

There are a total of 50 apples and pears (apples + pears) in a large basket. If the total number of apples was doubled and the total number of pears was tripled, these two numbers would add up to 130. How many apples and pears are in the basket?

Solve this simultaneously.

Where a= apples and p= pears,

a+p=50 and 2a+3p=130

Multiply a+p=50 by 2 on both sides to get:

2a+2p=100

Then subtract the two equations from e...

Answered by Christopher B. Maths tutor
2834 Views

Differentiate implicitly with respect to x the equation x^3*y^5+3x=8y^3+1

3x2y5+5x3y4y'+3 = 24y2y'

3x2y5+3 = (24y2–5x3y4)y'

y' = (3x2y5

Answered by Nora G. Maths tutor
1624 Views

f(x)=2x+c, g(x)=cx+5, fg(x)=6x+d; c and d are constants. Work out the value of d

f(g(x))=2(cx+5)+c

fg(x)=2cx+10+c

2cx=6x

2c=6

c=3

10+c=d

d=13

Answered by Imogen B. Maths tutor
5064 Views

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