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Calculus

07/03/23

What's the difference between AP Calculus AB and BC?

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Calculus Math

07/01/23

f(x)=x^7(x+8)^8

For -14<=x<=12 the function is defined by f(x)=x^7(x+8)^8 on which two intervals is the function increaseing , find the intervals which the function is positivie x= to x= where does the... more

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Calculus Math

07/01/23

Find the critical numbers

Find the critical numbers of the function f(x)=-6x^5+15x^4+20x^3-8 and classify them using a graphx= _is a x= _is a x=_ is a

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Calculus

06/30/23

Create formula for n-th derivative of a certain function

1 If f(x) = ------------ find f (50) (x), that is the 50th derivative of f(x) 2x – 3

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Calculus

06/30/23

Find the equation of the line tangent to y = f(x) at x = 1, wheref(x) = 7e4x + e-x^2all calculations must be exact and round the final answers to two decimal places.the equation of the tangent line... more

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Calculus

06/30/23

Find concavity 2nd derivative

For what interval is f(x) = 1/x^2+1 concave down?_____ < x < _____

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Calculus

06/29/23

Find two positive numbers that satisfy the given requirements. (Enter your answers as a comma-separated list.) The product is 238 and the sum is a minimum.

Find two positive numbers that satisfy the given requirements. (Enter your answers as a comma-separated list.)The product is 238 and the sum is a minimum.

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Calculus

06/28/23

The given curve is rotated about the y-axis. Find the area of the resulting surface. x2⁄3 + y2⁄3 = 9, 0 ≤ y ≤ 27

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Calculus

06/28/23

Find the volume of the solid obtained by rotating the region bounded by the curve y = sin ( 6 x 2 ) and the x -axis, 0 ≤ x ≤ √ π 6 , about the y -axis.

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Calculus

06/28/23

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 0 , y = cos ( 5 x ) , x = π 10 , x = 0 about the axis y = − 3

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Calculus

06/28/23

Find the volume of the solid formed by rotating the region enclosed by y = e 5 x + 2 , y = 0 , x = 0 , x = 1 about the y-axis.

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Calculus

06/28/23

Find the volume of the solid obtained by rotating the region bounded by y = x 2 , y = 0 , and x = 2 , about the y -axis.

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Calculus

06/28/23

Find the volume of the solid obtained by rotating the region bounded by y = 9 x 2 , x = 2 , x = 3 and y = 0 , about the x -axis.

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Calculus

06/28/23

Find the volume of the solid generated by rotating the region bounded by y = sin 2 ( x ) and y = 0 between 0 and π about the x -axis

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Calculus

06/28/23

If the prevailing interest rate is 3.5%/year compounded continuously, find the future value of this income stream. (Round your answer to two decimal places.)

The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of R(t) = 120,000 dollars/year for the next 4 years.

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Calculus

06/28/23

If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. (Round your answers to the nearest dollar.)

he quantity demanded x (in units of a hundred) of the Mikado miniature cameras per week is related to the unit price p (in dollars) by p = −0.2x2 + 220 and the quantity x (in units of a hundred)... more

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Calculus

06/28/23

Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. (Round your answers to the nearest dollar.)

The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the relation p = 148 − x2 where p is measured... more

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Calculus

06/28/23

The manufacturer of a brand of mattresses will make x hundred units available in the market when the unit price is p = 150 + 70e^0.06x dollars.

(a) Find the number of mattresses the manufacturer will make available in the market place if the unit price is set at $350/mattress. (Round your answer to the nearest integer.) (b)Use the result... more

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Calculus

06/28/23

Find the area of the region bounded by the graph of F on the X axis on the given interval f(x)=9/x on [-3,-1]

The area of the region is ?

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Calculus

06/28/23

Find the net area and the area of the region above the X axis bounded by Y=81-x^2

The integral needed to compute the net area is?

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Calculus

06/28/23

Find the area of the region bounded by the graph of F on the X axis on the given interval

F(x)=9/x on [-3,-1]the area of the region is ? Type exact answer please

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Calculus

06/28/23

Approximate the displacement of the object on this interval by sub dividing the interval into the indicated number of sub intervals.

V= 9t+1(m/s),for 0 greater than or equal to t greater than or equal to 8; n =2 approximate displacement of object is ?

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Calculus

06/27/23

The demand function for a certain brand of mattress is given by p = 450e^−0.04x where p is the unit price in dollars and x (in units of a hundred) is the quantity demanded per month.

(a) Find the number of mattresses demanded per month if the unit price is set at $200/mattress. (b)Use the results of part (a) to find the consumers' surplus if the selling price is set at $200... more

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Calculus

06/27/23

Determine the producers' surplus if the market price is set at $13/unit. (Round your answer to two decimal places.)

A supplier of portable hair dryers will make x hundred units of hair dryers available in the market when the unit price is p = \sqrt(121 + 2.4x) dollars.

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Calculus

06/27/23

Sketch the graph of the function. f(x) = x^2 − 2x Find the area of the region bounded by the graph of the function f and the lines y = 0, x = −4, and x = 1.

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Answers •2

What's the difference between AP Calculus AB and BC?

f(x)=x^7(x+8)^8

Find the critical numbers

Create formula for n-th derivative of a certain function

Find tangent line equation

Find concavity 2nd derivative

Find two positive numbers that satisfy the given requirements. (Enter your answers as a comma-separated list.) The product is 238 and the sum is a minimum.

The given curve is rotated about the y-axis. Find the area of the resulting surface. x2⁄3 + y2⁄3 = 9, 0 ≤ y ≤ 27

Find the volume of the solid obtained by rotating the region bounded by the curve y = sin ( 6 x 2 ) and the x -axis, 0 ≤ x ≤ √ π 6 , about the y -axis.

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 0 , y = cos ( 5 x ) , x = π 10 , x = 0 about the axis y = − 3

Find the volume of the solid formed by rotating the region enclosed by y = e 5 x + 2 , y = 0 , x = 0 , x = 1 about the y-axis.

Find the volume of the solid obtained by rotating the region bounded by y = x 2 , y = 0 , and x = 2 , about the y -axis.

Find the volume of the solid obtained by rotating the region bounded by y = 9 x 2 , x = 2 , x = 3 and y = 0 , about the x -axis.

Find the volume of the solid generated by rotating the region bounded by y = sin 2 ( x ) and y = 0 between 0 and π about the x -axis

If the prevailing interest rate is 3.5%/year compounded continuously, find the future value of this income stream. (Round your answer to two decimal places.)

If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. (Round your answers to the nearest dollar.)

Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. (Round your answers to the nearest dollar.)

The manufacturer of a brand of mattresses will make x hundred units available in the market when the unit price is p = 150 + 70e^0.06x dollars.

Find the area of the region bounded by the graph of F on the X axis on the given interval f(x)=9/x on [-3,-1]

Find the net area and the area of the region above the X axis bounded by Y=81-x^2

Find the area of the region bounded by the graph of F on the X axis on the given interval

Approximate the displacement of the object on this interval by sub dividing the interval into the indicated number of sub intervals.

The demand function for a certain brand of mattress is given by p = 450e^−0.04x where p is the unit price in dollars and x (in units of a hundred) is the quantity demanded per month.

Determine the producers' surplus if the market price is set at $13/unit. (Round your answer to two decimal places.)

Sketch the graph of the function. f(x) = x^2 − 2x Find the area of the region bounded by the graph of the function f and the lines y = 0, x = −4, and x = 1.

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