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:
Step-by-step explanation:
The formula is y = mx + b
m being the slope, rise over run. And b being the y-intercept. Right off the bat we can visually see the y-intercept is -4.
To find slope, we need to take two sets of coords and apply the slope fomula. The slope fomula is change in y divided by the change in x. The function itself is straight, so that means the slope will be the exact same no matter which points you choose.
(4, -1) and (8, 2) are coords on the line. Do 2 - (-1) to get 3. then do 8 - 4 to get 4. Finally, we just gotta do 3/4 which is simply
.
We have the slope of 3/4 and we have the y-intercept of -4. Just plug it in the standard formula of y = mx + b to get:

Answer:
b = 12 ft
Step-by-step explanation:
Given Data:
Height = h = 5 ft
Area = A = 60
To Find Out:
base = b =?
Formula:
A= b×h
b = A÷h
Solution:
b = A÷h
b = 60÷5
b = 12 ft
Answer:
what do you mean dead its not breathing
Step-by-step explanation:
someone help ambulance we want <em>CPR</em>
brainly is dead
haha sorry i was just joking hehe (≧∇≦)
Answer:
12 Pieces
Step-by-step explanation:
Number of candies in Jane's bag = x
she gives 8 to her friend;
x - 8
Then jane's grandmother buys 5 more pieces than jane had originally; add (x + 5)
x - 8 + x + 5
Now jane has 27 pieces of candy
x - 8 + x + 5 = 27
Solve for x;
x - 8 + x + 5 = 27
2x - 3 = 27
2x = 27 -3
2x = 24
x = 12