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:
1.To calculate the discount, multiply the rate by the original price.
2.To calculate the sale price, subtract the discount from original price.
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Answer:
x just represents a number
X - 3pt baskets (he reaches 3x points)
y - 2pt baskets (he reaches 2y points)
We know, that y=x+43
97 - 1 free throw = 97 - 1 = 96
Sum of points: 96
3x + 2y = 96. Substitute to "y" an expression "x+43" :
3x + 2(x+43)=96
3x+2x+86=96
5x=10 |:5
x=2
So y=x+43=2+43=45
He has made 2 three points baskets and 45 two points baskets
Answer:
8
Step-by-step explanation:
16(³/⁴) =
= (2⁴)(³/⁴)
= 2⁴ˣ³/⁴
= 2³
= 8
