Given h(t)=-2(t+5)2 , find h(-8)

Mathematics

1 answer:

amm18123 years ago

5 0

The answer I got was 12 if needed I can take a picture of how I worked it

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frozen [14]

6 1/2 - 2 3/4 = 3 3/4
6.5 - 2.75= 3.75

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3 years ago

For the region bounded by y=2x, the x-axis, and x=1, determine which of the following is greater: the volume of the solid ge

telo118 [61]

Answer:

The correct answer B) The volumes are equal.

Step-by-step explanation:

The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

$\int\limits^1_0 {(pi)y^{2} } \, dx$

which when evaluated gives 4pi/3.

Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

$\int\limits^2_0 {pi - pix^{2} } \, dy = \int\limits^2_0 {1 - y^{2}/4 } \, dy$

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.

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3 years ago

after a deposit of $476 Sierra saves $11 per day how much money will Ciara have in 8 Days use an equation to solve the problem i

Alinara [238K]

11x 8 =88 . 476+88=564

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3 years ago

Each equation given below describes a parabola. Which statement best compares their graphs?

kkurt [141]

The answer to this question is

Both Parabolas open to the right, and x= 3y2 is wider than x= 5y2.

(APEX)