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Calculus

04/16/24

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4 root(x), y=3, and 2y+2x=6

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Calculus

04/15/24

There is a line through the origin that divides the region bounded by the parabola y=6x-5x^2 and the x-axis into two regions with equal area. What is the slope of that line?

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Calculus Math Algebra 1 Algebra 2

04/15/24

Given the vector u → = 〈 - 5 , - 1 〉 , find the magnitude and angle in which the vector points (measured counterclockwise from the positive x-axis, 0 ≤ θ < 2 π

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Calculus

04/15/24

Calculus 3 question

Find the equation of the plane containing the points P = (-3, 0, 2), Q = (-1, -1, 2), R = (-5, 3, 4). The result should be in the form ax + by + cz = d.

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Calculus

04/15/24

A stone is dropped from the upper observation deck of a tower, 800 m above the ground. (Assume g = 9.8 m/s2.)

(d) If the stone is thrown downward with a speed of 6 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)

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Calculus

04/15/24

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position.

a(t) = (6t + et) i + 12t2 j, v(0) = 3i, r(0) = 3 i − 7 j

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Calculus

04/14/24

Calculus 3 Double Integral Problem

Evaluate the integral ∫∫xydA in the first quadrant region bounded by y=x^2, y=x^3, y=5, and y=7. Round your answer to 2 decimal places.

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Calculus

04/14/24

Urgent Calculus Help! Disk Method, Shell Method, Washer Method, e.t.c.

Can anyone explain the calculus concepts of the disk method, the shell method, the washer method, and finding the area between two curves in more simplified terms?

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Calculus

04/14/24

Question about a HW problem. The Problem is in the description.

a baseball team plays in a stadium that holds 55000 spectators. when the ticket price is $10.00, the average attendance is 27,000. Reaseach has shown that on average, when the ticket price goes... more

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Calculus

04/14/24

Consider the function f(x) whose second derivative is f"(x)=4x+10sin(x). If f(0)=3 and f'(0)=2, what is f(4)?

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Answers •2

Calculus

04/14/24

The rate (in liters per minute)

t min 0 0.5 1 1.5 2 2.5 3 l/min 40 38 36 34 32 30 28 Answer: ? liters.The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Use the average of... more

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Calculus

04/14/24

norman window with a perimeter of 50 feet

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

04/14/24

Find the maximum area of a triangle

Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent line to the graph of f=(x+8)^-2. Area = ?

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Calculus

04/14/24

Find the general anti derivative for each function

a. y=-csc^2 (3x)b. g(x)= -3 / 1+x^2c. y=-sec^2(8x)d. y=e^-10xe. f(x)=x^3 suaqre root of 7-6x^2

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Calculus

04/14/24

Differentiate each of the following functions

differentiate each function a. f(x)=1/x b. g(x)=cos^-1 (x^2) c. y=csc(x) d. h(x)=ln(lnx) e. y=e^x* tan*(x^3)

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Calculus

04/14/24

Calculus 3 question

Find the cross product a x b. a=< t^3, t^2, t >, b= <t, 8t, 9t >.

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Calculus

04/14/24

Calculus homework question

Compute the Taylor polynomial of degree 2 about 1 for function f(x) = sin(2x).

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Calculus Algebra 1 Algebra 2

04/14/24

Reduction of a complex number

How can I reduce the expression i127 to the lowest positive power of i?

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Calculus

04/13/24

Find the point on the line 4x + y = 6 that is closest to the point (−4, 2).

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Calculus

04/13/24

Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola.

y = 7 − x2width: height:

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Calculus

04/13/24

Find the area of the largest rectangle that can be inscribed in a right triangle with legs of lengths 4 cm and 6 cm if two sides of the rectangle lie along the legs.

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Calculus

04/13/24

What are the dimensions of the sheet that give the greatest volume of the cylinder

A rectangular sheet of paper with perimeter 36 cm is to be rolled into a cylinder. What are the dimensions of the sheet that give the greatest volume of the cylinder? (Note: The volume of a... more

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Answers •2

Calculus

04/13/24

Calculus III question

Find an equation of the plane. the plane that passes through the point (2, 4, −1) and contains the line x = 4 − t, y = 2t − 1, z = −3t

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Calculus

04/13/24

A piece of wire 30 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (Give your answers correct to two decimal places.)

a) How much wire should be used for the square in order to maximize the total area? m(b) How much wire should be used for the square in order to minimize the total area?m

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Calculus Precalculus

04/12/24

Partial Fraction Decomposition

Determine the coefficients D, E, and F in the p.f.d.[2x^4 +x^3 -2x +4] / (x+1)^7 = A/(x+1)^7 +B/(x+1)^6 +C/(x+1)^5 +D/(x+1)^4 +E/(x+1)^3 +F/(x+1)^2 +G/(x+1) +H

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Answers •1

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4 root(x), y=3, and 2y+2x=6

There is a line through the origin that divides the region bounded by the parabola y=6x-5x^2 and the x-axis into two regions with equal area. What is the slope of that line?

Given the vector u → = 〈 - 5 , - 1 〉 , find the magnitude and angle in which the vector points (measured counterclockwise from the positive x-axis, 0 ≤ θ < 2 π

Calculus 3 question

A stone is dropped from the upper observation deck of a tower, 800 m above the ground. (Assume g = 9.8 m/s2.)

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position.

Calculus 3 Double Integral Problem

Urgent Calculus Help! Disk Method, Shell Method, Washer Method, e.t.c.

Question about a HW problem. The Problem is in the description.

Consider the function f(x) whose second derivative is f"(x)=4x+10sin(x). If f(0)=3 and f'(0)=2, what is f(4)?

The rate (in liters per minute)

norman window with a perimeter of 50 feet

Find the maximum area of a triangle

Find the general anti derivative for each function

Differentiate each of the following functions

Calculus 3 question

Calculus homework question

Reduction of a complex number

Find the point on the line 4x + y = 6 that is closest to the point (−4, 2).

Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola.

Find the area of the largest rectangle that can be inscribed in a right triangle with legs of lengths 4 cm and 6 cm if two sides of the rectangle lie along the legs.

What are the dimensions of the sheet that give the greatest volume of the cylinder

Calculus III question

A piece of wire 30 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (Give your answers correct to two decimal places.)

Partial Fraction Decomposition

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