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3 years ago

Evaluate the definite integral

Mathematics

1 answer:

Georgia [21]3 years ago

7 0

$\displaystyle\int_{x=9}^{x=10}x\sqrt{x-9}\,\mathrm dx$

Let $y=x-9$ , so that $x=y+9$ and $\mathrm dx=\mathrm dy$ . The integral is then equivalent to

$\displaystyle\int_{y=0}^{y=1}(y+9)\sqrt y\,\mathrm dy=\int_0^1(y^{3/2}+9y^{1/2})\,\mathrm dy=\dfrac{32}5$

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What is the answer to 60/5(7-5)

lbvjy [14]

Answer:

Step-by-step explanation:

60/5 (7-5)

= 12(2)

= 24

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3 years ago

The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V

Nat2105 [25]

Corrected Question

The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V(5/7) represent?

Answer:

(B)the volume of the rubber ball when the radius equals five-sevenths feet

Step-by-step explanation:

The Volume of a sphere of radius r can be found using the formula:

$V(r)=\dfrac43 \pi r^3$

Therefore comparing the expression: $V(\dfrac57)$ with V(r):

$Radius, r=\dfrac57$

Thus, $V(\dfrac57)$ is the volume of a ball of radius $\dfrac57$ feet.

The correct option is B.

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3 years ago

Read 2 more answers

Select the most appropriate unit for the situation

saveliy_v [14]

Answer: Is Square feet/minute if there is two of them the second one is Cubic feet/minute

Step-by-step explanation: feet/minute would cover anything linear {forward, backward, left, right}

square feet/minute would cover two-dimensional areas {walls, floors, sides of buildings, etc.}

cubic feet/minute would cover three dimensional situations {swimming pools, buckets, containers, etc.}

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2 years ago

Help ASAP

krok68 [10]

Answer:

1. x=10,-10

2. x = 5

x = -5

3. x=-5

4. x ∈ {4,- 3/2}

Step-by-step explanation:

7 0

3 years ago

How do I get the answer y= 2x^2+9x-5

guapka [62]

Answer:

Quadratic Formula

x = -5

and

x = 0.5

Step-by-step explanation:

Whenever you see a problem in this form, which you will see a lot of, you can try to factor it or use the "least squares" method or what have you, but those won't always work, unfortunately.

Fortunately, the quadratic formula will never fail you with quadratic expressions.

This is the Quadratic Formula

$x = \frac{-b \frac{+}{-} \sqrt{b^2-4ac} }{2a}$

a is the the number on the variable with the exponent ^2

b is the number on the variable with no exponent

c is the third number

a and b cannot be equal to 0; c can be

Since we're looking for a number with an equation that has a square root in it, we're going to get two answers. These two answers come from the radical being separately added AND subtracted from the radical. It's basically two problems.

Plugging in our numbers to this equation gives us x values of -5 and 0.5. This will always work with polynomials with factors of ^2 in them.

If you have a TI-84 calculator or newer, there's a tool on it that will factor polynomials like this one for you just by giving it the numbers.

7 0

3 years ago