Answer:
Required solution (a)
(b) 40.
Step-by-step explanation:
Given,

(a) Let,

Then,

Integrating
we get,

Differentiate this with respect to y we get,
compairinfg with
of the given function we get,

Then,

Again differentiate with respect to z we get,

on compairing we get,
(By integrating h'(z)) where C is integration constant. Hence,

(b) Next, to find the itegration,

As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
Answer:
Step-by-step explanation:
32
Answer:
Because you can't divide by zero.
Step-by-step explanation:
If x = -2, it makes the denominator 0. This will result in the equation being undefined because you can't have zero in the denominator.