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4 years ago

Y=-7x+4 Y=3/8x+-4 Y=16x+-1/5

Mathematics

1 answer:

zavuch27 [327]4 years ago

5 0

Answer:

y = -7x +4
y = 3/8x - 3
y = 16x -1/5

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after hiking for two hours A hiker is an elevation of 3500 feet. hiker continues to climb at a rate of 1100 feet each hour write

wel

I think the equation is 1100+x=3500

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3 years ago

a. Calculate the volume of the solid of revolution created by rotating the curve y = 3 + 3 exp(-5 x) about the x-axis, for x bet

miskamm [114]

Answer:

A) The volume of solid is 18π cubic unit.

B) The volume of sphere is $\dfrac{4}{3}\pi r^3$

a = -r , b = r , $f(x)=\sqrt{r^2-x^2}$ and $V=\dfrac{4}{3}\pi r^3$

Solution A)

The given curve, $y=3+3e^{-5x}$ rotate about x-axis between 2 to 4.

Please find attachment for solid figure or rotation.

Using disk method to find the volume rotation about x-axis

$V=\int_a^b\pi R^2dx$

where, a = 2, b= 4 , $R=y=3+3e^{-5x}$ and dx is thickness of disk.

$V=\int_2^4\pi (3+3e^{-5x})^2dx$

$V=9\pi\int_2^4(1+e^{-10x}+2e^{-5x})dx$

$V=9\pi(x-\dfrac{1}{10}e^{-10x}-\dfrac{2}{5}e^{-5x})|_2^4)$

$V=9\pi(4-\dfrac{1}{10}e^{-40}-\dfrac{2}{5}e^{-20}-2+\dfrac{1}{10}e^{-20}-\dfrac{2}{5}e^{-10}))$

$V=9\pi (2-0)$

$V=18\pi$

Hence, the volume of solid is 18π cubic unit

Solution B)

The equation of circle of radius r and centered at origin (0,0).

$x^2+y^2=r^2$

$y=\sqrt{r^2-x^2}$

The solid form is sphere of radius r.

Using disk method, to find volume of solid

$V=\int_a^b\pi R^2dx$

where, a = -r, b = r , $R=y=\sqrt{r^2-x^2}$ and dx is thickness of disk.

$V=\int_{-r}^r\pi (r^2-x^2)dx$

$V=\pi(r^2x-\dfrac{x^3}{3})|_{-r}^r$

$V=\pi(2r^3-\dfrac{2r^3}{3})$

$V=\dfrac{4}{3}\pi r^3$

Hence, the volume of sphere is $\dfrac{4}{3}\pi r^3$

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4 years ago

I need help. A building with a height of 48 m casts a shadow that is 30 m long. A person standing next to the building casts a s

lutik1710 [3]

Answer:

1.28 m

Step-by-step explanation:

48/30 = x/.8

cross multiply

30x = 48(.8)

30x = 38.4

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x = 1.28 m

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3 years ago

Holly can walk 3.75 miles per hour. At that same rate, how far can she walk in 2.5 hours?

damaskus [11]

3.75 miles per hr........in 2.5 hrs =
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4 years ago

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Vinil7 [7]

To answer this question we need to find out the nth term
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3 years ago