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agasfer [191]
3 years ago
8

James is studying different kinds of weather.

Mathematics
1 answer:
expeople1 [14]3 years ago
7 0
What ?

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The area of the region under the curve given by the function f(x) = 2x2 + 6 on the interval [0, b] is 36 square units, where b &
choli [55]

The area as a function of b is given by

a(b)=\int\limits^b_0 {(2x^2+6)} \, dx =\frac{2}{3}b^3+6b


You want to find b such that a(b) = 36.

... (2/3)b^3 +6b = 36

... b^3 +9b -54 = 0 . . . . multiply by 3/2 to clear fractions


A graphing calculator shows this equation to have one real solution at b=3.


The value of b is 3.

8 0
3 years ago
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What is the value of the rational expression when x=-2?<br><br> -7<br> -9<br> 9<br> 7
STALIN [3.7K]

Answer:

9

Step-by-step explanation:

take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1

4 0
3 years ago
The vertex form of the equation of a parabola is y = 2(x+ 4)2 - 21.
Ivanshal [37]

Answer:

y = 2x² + 16x + 11

Step-by-step explanation:

first foil (x + 4)² to get x² + 8x + 16

distribute 2 to get 2x² + 16x + 32

subtract 21 from 32

8 0
3 years ago
Help with this question quickly please!!
DiKsa [7]

Answer:

The anwers is D

Step-by-step explanation:

8 0
3 years ago
State the restrictions on the domain.
mihalych1998 [28]

we know that, denominator ≠ 0

16y² ≠ 0

y ≠ 0 is excluded value.

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