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: The y is going to be 7
Explanation: Because 5y/35 divide 5 both sides cancel the both 5's and y stays by itself and 35/5 equals 7. 7*5= 35
(x-5)^2 . ( x+5)
=( x^2 - 10x + 25) . ( x+ 5)
=x^3 + 5x^2 - 10x^2 -50x + 25x + 125
= x^3 - 5x^2 -25x +125
Answer:
x = 76.5
Step-by-step explanation:
= 22 - 5
= 17
x = 17 x 4.5
x = 76.5
Answer:
A
Step-by-step explanation:
According to the Factor Theorem, if (<em>x</em> - <em>k</em>) is a factor of a polynomial P(x), then P(k) must equal zero.
We are given that a polynomial function has the zeros 2, √3, and -√3. So, we can let <em>k</em> = 2, √3, -√3.
So, according to the Factor Theorem, P(2), P(√3) and P(-√3) must equal 0.
Testing each choice, we can see that only A is true:
Testing all three values yields that:
Hence, our answer is A.
