A curve with polar equation r represents a line. This line has a Cartesian equation of the form y = mx + b,where m and b are constants. Give the formula for y in terms of x. For example, if the line had equation y = 2x+3 then the answer would be 2 x + 3. y = 33 8 sin +41 cos 0 .

Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

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Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 11. Let f be the function defined by f(x) = [x – 2] for all x. Which…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) √² dx 2 + 8x 1 + x²

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: on enclosed by the given curves. (A graphing calculator is recommended.) - x², y = 0 -1 y 3 2 1 y 3…

A: Topic:- application of integration

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A: "According to the guidelines issued by the company We are supposed to answer only first three…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Find the area of the region enclosed between f(x)=x²-x+ 10 and g(x) = 2x²-3x+1 Area =

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Q: sides of lengths 6,10 and 7. Find 2) A triangle has the mesure of it's largest angle to the nearest…

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

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Q: ds Given the velocity v= and initial position of a body moving along a coordinate line, find the…

A: use integration for finding the  position

Q: Determine which of the following is the particular solution for the differential equation…

A: To determine the particular solution of the following differential equation.D2-2D+2y=-8 cos 3x+24…

Q: 1. (Hour30) Set up an integral, do not evaluate, that represents the length of the curve x = cost, y…

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Q: Approximate the area under the curve y=x^3 from x=1 tox=4 using a Right Endpoint approximation with…

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Q: The Maclaurin series for sinx can be written as ...? a) Oa) O b) Oc) o d) 18-00 (-1)'+1x2r+1 (2r+1)!…

A: To determine the Maclaurin series for sin x.

Q: A graphing calculator is recommended. Sketch the region enclosed by the given curves. y = √x, y=0,…

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A: NOTE: Refresh your page if you can't see any equations. . the given demand function is  the given…

Q: Find the particular solution of a differential equation xdx – 4ydy = 0; y = 2 when x = 5.

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Q: In Exercises 19-22, the magnitudes of vectors u and Vin R³ are given, along with the angle between…

A: Given:- u→=2,v→=5,θ=30°

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Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: In the year 2000, the population of a small city was 49,000. The population grows at a rate of f(t)…

A: Rate of growth ft=1300e0.05t people per  t years after 2000

Q: Find the general solution of (y^2 – xy)dx + x^2dy = 0.

A: Given differential equation (y2–xy)dx+x2dy=0(y2–xy)dx = -x2dydydx = (y2–xy)-x2dydx = ( xy - y2 )x2

Q: A company's revenue from selling x units of an item is given as R=1000x-x^2 dollars. If sales are…

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Q: A ball of radius 15 has a round hole of radius 3 drilled through its center. Find the volume of the…

A: Given query is to find the volume of the resulting solid.

Q: The marginal cost for a company to produce g items is given by MC(q) = 0.005q^2 - 0.7q+ 620. The…

A: Marginal cost for a company to produce q items   MC(q) = 0.005q2 - 0.7q + 620   Company's cost =…

Q: The Pythagorean Theorem Find the perimeter and area of the right triangle shown below. X Perimeter =…

A: To find the perimeter and area of the right triangle shown below.

Q: A particle is moving with acceleration a(t) = 18t + 6. its position at time t = 0 is s(0) 15 and its…

A: NOTE: Refresh your page if you can't see any equations. . the given acceleration function is

Q: f(x) = ((2x + 1)(x-2) x-2 k for x # 2 for x = 2 9. Let f be the function defined above. For what…

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Q: Find the area of the surface generated by revolving the curve about the given axis. x = 9 cos(0), y…

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Q: Use a power series to represent the function f(x) = 6 5x − 4 centered at x = -4.

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Q: In Exercises 3-6, give any two points in the given plane. 3. 2x - 4y +7z=2

A: Question-3 . NOTE: Refresh your page if you can't see any equations. . the given plane is  here we…

Q: Use Green's Theorem to evaluate √x + 4y, 2x + √ÿ) e fF. dr F = √ √√√x + 4 F. dr, where and C…

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Q: Use the Ratio or Root Test to determine the convergence or divergence of the series. 5n-1 40 +7 n=1

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Q: Use the graph of y=-x² + 3x + 10 to help you solve -x² + 3x + 10 ≤ 0 There is no work to be shown…

A: Consider the graph of the funtion

Q: Evaluate the integral. 2 6² ²1 t² + 1 - dt

A: The given integral is  ∫01 2t2+1dt

Q: Set up the definite integral required to find the area of the region between the graph of y = 11 -…

A: Given query is to find the area of the region.

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Q: Find all critical numbers by hand. 2-44 x+7 and

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Q: In an arithmetic sequence, the 8th term is 17 and the 17th term is -10. Show all work for each of…

A: We know that  an=a+n-1d where a= first term, d= common difference Given that 8th term is 17 and 17th…

Q: x²-x+6 lim x⇒-2 (x + 2)²

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Q: Evaluate the integral. [² f(x) dx where f(x) = = {} if -4 ≤ x ≤ 0 2 -x² if 0 < x≤

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Q: Determine which of the following is the particular solution for the differential equation (D² -…

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Q: 4 Find the equation of each graph after the given transformation. a y = 3x² after a stretch parallel…

A: Let's find equation of each graph after the given transformation.

Q: Given the following vectors, calculate 5u + 3v. |(7, 0), v = (-8, 10)

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Q: 4. lim cos(x )x

A: We can find the limit of the given function by sequential method. Let xn  and  yn be two sequence…