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Calculus Math

11/14/23

Calculus 5.2 Definite Integrals

For this problem I was given a right Riemann Sum. The sum being∫[√(4-(2/n)2)*(2/n)] + [√(4-(4/n)2)*(2/n)] + ... + [√(4-(2n/n)2)*(2/n)]The definite integral given is ∫ with a=0 and b=?a) I'm asked... more

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Calculus

11/14/23

If the perimeter of the window is 24 ft, find the value of x so that the greatest possible amount of light is admitted.

A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is 24 ft, find... more

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Calculus

11/14/23

Lower and Upper estimate

The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table below. Find lower and upper estimates of the... more

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Calculus

11/14/23

a. Find the demand function, assuming that it is linear. b. What should the selling price be to maximize his profit?

During the summer months, Terry makes and sells necklaces on the beach. Last summer, he sold the necklaces for $10 each and his sales averaged 20 per day. When he increased his price by $1, he... more

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Calculus

11/14/23

calc optimization

A power line is to be run to an offshore facility as shown in the figure above. The offshore facility is D=4 AND L=4 miles at sea and miles along the shoreline from the power plant. It costs $... more

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Calculus

11/14/23

DIFFERENTIALS CALC

use differentials to estimate ∜624

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Calculus

11/13/23

Find the largest possible window

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window... more

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Calculus

11/13/23

Find the largest area ( include units )

A javalina rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). There are 460 feet of fencing... more

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Calculus

11/13/23

Find the rate and maximum income

A car rental agency rents 220 cars per day at a rate of 29 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce... more

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Calculus

11/13/23

Find the following

Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting... more

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Calculus

11/13/23

Fence calc problem

A fence 7 feet tall runs parallel to a tall building at a distance of 4 feet from the building.What is the length of the shortest ladder that will reach from the ground over the fence to the wall... more

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Calculus

11/13/23

Calc Question math

A rectangular billboard 8 feet in height stands in a field so that its bottom is 12 feet above the ground. A nearsighted cow with eye level at 4 feet above the ground stands x feet from the... more

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Calculus

11/13/23

We are learning series and I really need help with this. I can't find any help with these, could someone please help? Thanks!

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Calculus

11/13/23

We are learning series and I really need help with this. I can't find any help with these, could someone please help? Thanks!

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Answers •1

Calculus

11/13/23

We are learning series and I really need help with this. I can't find any help with these, could someone please help? Thanks!

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Answers •2

Calculus

11/13/23

[Related Rates] How fast is the bottom moving along the ground when the bottom of the ladder is 5 ft from the wall?

A 10-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of 2 ft/sec, how fast is the bottom moving along the ground when the bottom of the ladder is 5 ft... more

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Calculus

11/12/23

Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation.

Chart:Time (Seconds) Velocity (ft/sec)0 211 382 393 ... more

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Calculus Math Physics

11/12/23

A stone is thrown straight up from the edge of a roof, 625 feet above the ground, at a speed of 10 feet per second.

At what time does the stone hit the ground? What is the velocity of the stone when it hits the ground?

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Calculus Math Physics

11/12/23

A ball is shot from the ground straight up into the air with initial velocity of 40 ft/sec. Assuming that the air resistance can be ignored, how high does it go?

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Calculus

11/12/23

If a rock is dropped from a height of 113 ft, its position t seconds after it is dropped until it hits the ground is given by the function s(t) = -16t^2 + 113.

How long does it take the rock to hit the ground? Find the average velocity of the rock from when it is released until when it hits the ground. What time after the rock is thrown will its... more

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Calculus Math

11/11/23

Consider the function f(x) = 2x^3 - 3x^2 - 72x + 6 on the interval [-5,8]. Find the average or mean slope of the function on this interval, & (see description)

Consider the function f(x) = 2x^3 - 3x^2 - 72x + 6 on the interval [-5,8]. A) Find the average or mean slope of the function on this interval.B) By the Mean Value Theorem, we know there exists... more

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Calculus Math Geometry

11/11/23

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with a diameter of 50 meters.

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Calculus Math Geometry

11/11/23

A sphere's circumference was measured to be 88 cm w/ a possible error of 0.5 cm. Estimate the max error in the calculated surface area. Then, estimate the relative error in the calculated SA.

Question is based on the Calculus principles of Linear Approximations & Differentials

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Calculus Math

11/11/23

For the given cost function C(x) = 14400 + 800x + x^2 find...

For the given cost function C(x) = 14400 + 800x + x^2 find... 1) The cost at the production level 1900 2) The avg cost at the production level 1900 3) The marginal cost at the production level... more

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Calculus Math Geometry

11/11/23

Calculus I Applied Optimization Problem- How far along the shore should Conner run before jumping into the water in order to save the child?

Conner is a lifeguard and spots a drowning child 60 meters along the shore and 70 meters from the shore to the child. Conner runs along the shore for a while and then jumps into the water and swims... more

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Calculus 5.2 Definite Integrals

If the perimeter of the window is 24 ft, find the value of x so that the greatest possible amount of light is admitted.

Lower and Upper estimate

a. Find the demand function, assuming that it is linear. b. What should the selling price be to maximize his profit?

calc optimization

DIFFERENTIALS CALC

Find the largest possible window

Find the largest area ( include units )

Find the rate and maximum income

Find the following

Fence calc problem

Calc Question math

We are learning series and I really need help with this. I can't find any help with these, could someone please help? Thanks!

We are learning series and I really need help with this. I can't find any help with these, could someone please help? Thanks!

We are learning series and I really need help with this. I can't find any help with these, could someone please help? Thanks!

[Related Rates] How fast is the bottom moving along the ground when the bottom of the ladder is 5 ft from the wall?

Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation.

A stone is thrown straight up from the edge of a roof, 625 feet above the ground, at a speed of 10 feet per second.

A ball is shot from the ground straight up into the air with initial velocity of 40 ft/sec. Assuming that the air resistance can be ignored, how high does it go?

If a rock is dropped from a height of 113 ft, its position t seconds after it is dropped until it hits the ground is given by the function s(t) = -16t^2 + 113.

Consider the function f(x) = 2x^3 - 3x^2 - 72x + 6 on the interval [-5,8]. Find the average or mean slope of the function on this interval, & (see description)

Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with a diameter of 50 meters.

A sphere's circumference was measured to be 88 cm w/ a possible error of 0.5 cm. Estimate the max error in the calculated surface area. Then, estimate the relative error in the calculated SA.

For the given cost function C(x) = 14400 + 800x + x^2 find...

Calculus I Applied Optimization Problem- How far along the shore should Conner run before jumping into the water in order to save the child?

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