The polar coordinates of a point are given. Find the rectangular coordinates of this point. (4,л)

Q: Suppose f(1) = 2, ƒ'(1) = 3, ƒ (2) = 1, ƒ'(2) = 4, and g(1) = 3,g'(1) = 5,g(2) = 1,g′(2) = 4. If…

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Q: Find ∫∫R  −3x+5y/(x+6y) dA where R is the parallelogram enclosed by the lines −3x+5y=0, −3x+5y=3,…

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Q: 9. Linda's Bakery sells three kinds of cookies: chocolate chip cookies at 15 cents each, oatmeal…

A: We use the concept of linear equations to solve the given problem.

Q: Determine whether the series converges or diverges. Σ 5 sin (²) n n = 1

A: The given series is

Q: Express your answer as a polynomial in standard form. f(x)= x - 1 2 g(x) = 3x² - 4x – 12 Find:…

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Q: Consider the triangle below. Click on the picture to see it more clearly. If c = 4, the angle C =…

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Q: Find the absolute max. and min. of each function y=√4−x^2, (−2,1)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the second derivative of the following functions: a. f(x) = x5 + sin x b. f(x) = x² + == x c.…

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Q: 4. Using Geogebra, draw the parametric curve, x = sin³t+cos³t; y = sin² t - cos²t,0 ≤t≤ 2n-

A: The given curve is,The given interval is,

Q: A 100 m long rope hangs from the top of a mine shaft, and is attached to a crate full of coal. The…

A: The objective of this question is to calculate the total amount of work done to lift the rope and…

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: Here

Q: lim       sin(π+h)- sinπ                                      h→0     —------------…

A: Note:-Since your part a incomplete ,please repost part a again(b)

Q: Use the figure below, which shows the graph of y = f(x), to answer the following questions. Which of…

A: Area above the x-axis is considered as positive and area below the x-axis is considered as negative.

Q: 1 se sec4 x tan x dx

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Q: 5.4-1+1/2 - 1/6 + 1 64 |

A: Given that the series we have to find check the series absolutely convergent, conditionally…

Q: 4. 14: I can evaluate a definite integral using geometry or the FTo C. The graph of f is [4, 8] the…

A: graph

Q: Let f(x) be a continuous function for which we know f(2)=3, f(4) = 5, f'(2) = 7, and f'(4) = 19.…

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Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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Q: Evaluate the following improper integral. So e 0 e-bt sin (at)dt, where b=2, a=1 Round your answer…

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Q: The position of an object in circular motion is modeled by the parametric equations x = 9 sin(2t) y…

A: Note: Due to guidelines, I can solve only first 3 sub parts.

Q: 5. Find the length of the curve • r(t) = cos(t)i + sin(t)j +ln(cos(t))k 0≤t≤n/4

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: A balloon is rising at a rate of 3 meters per second from a point on the ground 41 meters from an…

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Q: Let g(z) = √√23 Determine the most general antiderivative of 9. | √dz = [

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Q: 8. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval [0, π/2], are…

A: The given functions are The functions f and g considered to be orthogonal on interval  if

Q: 9. In the following exercise: i. Identify the function's local extreme values in the given domain,…

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Q: Find the area under the given parametric curve over the given interval. x = 4t³ - t²; y = t4 + 2t²;…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 4n²+3…

A: The given series By Root Test If L<1 then series convergent If L>1 then series divergent If…

Q: 1. Find the area between the two curves. Be sure to show the representative rectangle in the 1st…

A: Given functions are,y=f(x)= 8 cos x and y=g(x)= sec2x

Q: The function f(x) = 6(1.2) is an exponential function. Af(x) Ax a. Determine the value of the ratio…

A: The given function .The aim is to find the value of the ratio  over the given intervals.

Q: 8. An engineer invests $27,000 in two bonds. If one 7% and the other yields 9%, how much is invested…

A: Let engineer invest $x on one bond which yields and  on another bond which yields

Q: A curve with polar equation r = 28 5 sin +41 cos 0 represents a line. This line has a Cartesian…

A: A curve with polar equation represents a line.To find the Cartesian equation of the line in the…

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

A: The given marginal profit function , where  is the amount of cheese sold in hundreds of pounds.The…

Q: Express your answer as a polynomial in standard form. f(x) = -3x + 5 g(x) = x² + 2x + 15 Find:…

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Q: Find all exact solutions on the interval 0 < 0 < 360°. If there is more than one answer, enter them…

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Q: Find all exact solutions on the interval 0 < x < 360°. If there is more than one answer, enter them…

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Q: = sin(x),0 ≤ x ≤ π

A: Given that the expression

Q: Given f is concave down and ƒ (4) = −2 and f1 (4) = 3. What is the estimate for = 4? Is it an…

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Q: For what value of a is the following function continuous at every x? f(x) = x²-30, x<10 x≥ 10 ax,…

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Q: 3. The behavior of the system is a spiral source. x' = y' = = 3x + y, -x + 4y

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Q: Evaluate the following indefinite integral. 19 / (22+4) de dx Note: Don't forget your C! And be sure…

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Q: Solve the following initial value problem. dr dy = x3 / x5, y(0) = 0 y =ㅁ

A: To solve the following initial value problem.

Q: number. Fr 11. The sum of the measures of the three angles of a triangle is 180°. The middle-sized…

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Q: Find all exact solutions on the interval 0 <0 < 27. If there is more than one answer, enter them as…

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Q: Let g(x) = 6e* Determine the most general antiderivative of g. [6e²dx = [

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Q: a. 7* = 72 x b. 7 = x = 1 2401 * Preview Preview

A: To solve the following equations.

Q: Let + f² f(x) dx = 3, Find S 4 f(x) dx = -10 5 ¹ [*³ f(x) – 6 and - 3 dx = f(x) dx = 3, [ f(a) f(x)…

A: The Sum Rule:The Power Rule:The Constant Coefficient Rule:

Q: Find the radius of convergence and the interval of convergence of the series. n=1 8n-1

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Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.