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insens350 [35]
3 years ago
8

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 &

gt; 0.
What is the value of b?

Mathematics
2 answers:
choli [55]3 years ago
8 0

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.

Goshia [24]3 years ago
8 0

Answer:

3

Step-by-step explanation:

Plato

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Answer:

C. x

Step-by-step explanation:

  • Option A [x+5=20]tells us that: When we add 5 to a variable x, we get 20. As it has a unique value for x and is completely equal to it(i.e. 15), It is an equality.
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3 years ago
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What’s the answer to this?
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Step-by-step explanation:

Line is passing through the points:

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Equation of line in two point form is given as:

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Slove the equation r+ 3 = (r - 5)<br><br> explain step by step please
grigory [225]

Answer:

no solutions

Step-by-step explanation:

<u>Solving</u>

Step 1: Subtract 3 from both sides.

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Step 2: Subtract 3 from both sides.

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Therefore, there are no solutions to this equation.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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