Calculate the area enclosed by this arch.

An arch is to be constructed 16 meters high and 4 meters across at the base. The shape of the arch is given by the function f(x)=16-x^4Calculate the area enclosed by this arch.

Calculate how high the rocket will go before it begins to fall.

A rocket is launched straight up into the sky. When it runs out of fuel it is 425 ft above the ground and traveling at a velocity of 75 feet per second. At that instant it begins to act as an... more

How fast is the area growing after three days of spreading?

An oil spill in the gulf of Mexico is spreading out in a circular shape. The radius is spreading at 5 miles per day. How fast is the area growing after three days of spreading?

05/04/22

$9000 invested at an APR of ​8% for 2 years.

05/04/22

A ball is dropped...

Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 16 feet, and ball 2 is dropped from a height of 64 feet. Write and graph a function for the height... more

How long it will take to double an investment if rate of return is 10% compounded monthly?

 How long it will take to double an investment if rate of return is 10% compounded monthly?

Find the Principal Value of an Investment

  An investment sum up to $10,000 in 6 months, which pays 5% compounded semi-annually. What is the principal value?

05/04/22

Apply the distributive property to 15+21

Apply the distributive property to 15+21

05/04/22

Which is correct

If , then 3π.5π.6π.8π.

05/04/22

Let f (a function on an interval)

Let f be a function such that f(4) = –1 and f(6) = 1. Which of the following statements must be true?I. f has a root on the interval [4, 6].II. f has an absolute maximum on the interval [4,... more

Write the compound inequality as an absolute value inequality.

Write the compound inequality as an absolute value inequality.1.7≤h≤1.9

Suppose the stadium takes in ​$1,448,500 from each​ sold-out event. How many seats does each section​ hold?

A stadium has 55,000 seats. Seats sell for ​$35 in Section​ A, ​$20 in Section​ B, and ​$15 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C.... more

05/04/22

the length and the width of the playing alley.

The remains of an ancient ball court include a rectangular playing alley with a perimeter of about 108 m. The length of the alley is five times the width.Find the length and the width of the... more

05/04/22

Critical points and derivative

A farmer plans to fence in a rectangular pasture adjacent to a river. The pasture must contain 180,000 square meters in order to provide enough grass for the herd. What dimension would require the... more

how do i solve this? can someone show me a solution so that i can understand the process

One endpoint of the diameter of a circle is at (2, 16) and the center is the midpoint of the diameter of a circle at (-8,4). Find the coordinates of the other endpoint of the diameter.

05/04/22

construct a polynomial third degree with zeros of -3, -1, and 2 and passes through (1,8)

construct a polynomial third degree with zeros of -3, -1, and 2 and passes through (1,8)

05/04/22

Find the corresponding area between z=0 and each of the following.

1) z=1.842) z=-2.553) z=1.594) z=1.015) z=2.036) z=2.317) z=2.008) z=2.999) z=0.9910) z=0.59

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