Answer:
At first, we have 3 expressions that are equal.




This is not true.
Answer:
The integral is equal to
for an arbitrary constant C.
Step-by-step explanation:
a) If
then
so the integral becomes
. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)
b) In this case
hence
. We rewrite the integral as
.
c) We use the trigonometric identity
is part b). The value of the integral is
. which coincides with part a)
Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.
Answer: y = 3/4x
Step-by-step explanation:
Each y-value output is 3/4 of the x-value inputted.
8 x 0.75 = 6
12 x 0.75 = 9
Answer:
4.16
Step-by-step explanation:
4.16
because thousanth is 5