1/4 (a) = (2/3)
a = (2/3) * (4)
a=8/3
a= 2 2/3
RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
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,

I’m pretty sure it’s 43.96 I may be wrong though!