eliminate the parameter to find a rectangular equation for the plane curve defined by the parametric equation x=2t,y=t+3; -2

Q: b. 8=4 4. Convert the equation in rectangular coordinates to polar coordinates. x² + (y − 1)² = 1 a.…

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Q: 19. A long rectangular sheet of metal, 11 inches wide, is to be made into a rain gutter by turning…

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A: The given curve .The aim is to find the equation of the tangent line at .

Q: Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. 2 2…

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Q: 3 3x (p²³+ p² - 512+3) y = è +4e²"

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Q: Find the integral. 15 6 X X 15 6 X dx dx =

A: To find the following integral.

Q: Question Find the derivative of the function Simplify your answer as much as possible. Provide your…

A: Givenf(x) = sec-1(3x²)

Q: A B (C) f(x) Let f be the function defined above. For what values of bis f continuous at x = 3? D =…

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Q: Match each of the polar equations to one of the following graphs. r = 4 sin 0 A 0= Drag the correct…

A: Consider

Q: 9) Analyze the function f(x) = e. Report extrema, inflection points, intervals of x monotonicity and…

A: Given

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A: Here in this problem statement we have given that Marginal demand function.The objective is to find…

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Q: The petal P of the rose r = 2cos 30 that contains a portion of the positive x axis lies between the…

A: .

Q: Given the function g(x) = log² (f³(x conclude that © (A) g'(1) = 3 log 2 C (B) g'(1) = 10 © (C)…

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Q: 2 lim 9x² (e-3/x²-1) = X→∞ (Simplify your answer.)

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Q: To determine the amount of water flowing down a certain 110-yard-wide river, engineers need to know…

A: The width of the river is Measurement of depth of the river were made every 22 yard from one bank to…

Q: Given m(z) = log21 (2+6.2) - 1.9 The 3 starting points you would use would be: Round answers to 4…

A: Given :m(x) = Basic Function :y = log2.1 xThe 3 starting points you would use would be:…

Q: Find M₁, to three decimal places for the definite integral, using the indicated value of n. 1 (2x³ -…

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Q: Use the Method of Midpoint Rectangles (do NOT use the integral or antiderivative) to approximate the…

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Q: 2. Convert from polar to rectangular coordinates. (6,²) (-2,-) a. b.

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Q: Use a calculator to solve the following equation on the interval 0 ≤0 < 2. tan 0= 5

A: tan⁡θ=5 on the interval 0≤θ&lt;2π.

Q: 18. For f(x)=x*- 2x² +3: A. Find any critical numbers of f(x) and find intervals of…

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Q: The function f is continuous on the interval -2 < x < 5 and is not continuous on the interval -2 ≤ x…

A: The function  is continuous on the interval and is not continuous on the interval . To find the…

Q: Consider the solid created by rotating the region under y = 1/x for 1 < x < ∞o about the x-axis.

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Q: Evaluate the integral ſ Otan ¹() + C O sin ¹() + C O sin ¹()+C None of these 1 (25-x² dx

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Q: C(x, y) = 28,000 + 50x + 20y + 0.5xy. ac ac ax ду culate and interpret and Compute the marginal cost…

A: The cost to manufacture x bicycles and y tricycles is given by the function,We have to find and…

Q: The graph of function f (x) is shown below. At which value of x is the slope of the tangent line to…

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Q: Il 4 + 8 + 97 Vt

A: y=8t+8t6+7t7

Q: We are given the polar equation r = cos(40). Its graph is a ---Select--- X It is symmetric with…

A: r= cos(4)

Q: Find the points on the curve x = t² - 4t+7, y = t² + 18t – 8 that have: A. a horizontal tangent line…

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Q: X Find the first four nonzero terms of the Taylor series for the function 1+ The first four nonzero…

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Q: B ed a A σ Use the right triangle and the given information to solve the triangle. a=2, c=6; find b,…

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Q: Find the first four nonzero terms of the Taylor series for the function (1 + 7x) ¹/2 The first four…

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Q: What is the first derivative of t(x) = arccsc(x4). Sorry, that's incorrect. Try again? t'(x) = 7 4 1…

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Q: Name the quadrant in which the angle 0 lies. sin 0>0, cos 0 >0 The angle 0 lies in which quadrant? O…

A: Sin(theta)&gt;0, cos(theta)&gt;0

Q: 10. Find lim h→0 e²(3+h) and some value a. 2(3) - e h by recognizing the limit as the definition of…

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Q: Consider the function f(x) = 6√√x + 7 on the interval [4, 8]. (A) Find the average or mean slope of…

A: We solve the given problem  using the concept of the mean value theorem.

Q: Is the series convergent or divergent? If convergent, is it absolutely convergent? M8 n=1 (−1)n √n

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Q: Find the absolute extrema and where they occur for f(x) = -11x² + 5x +6 on [-3,5]. Give exact…

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Q: Find the binomial series for the function (1 +4x)ª. The binomial series is

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Q: Find the volume of the region bounded above by the elliptical paraboloid z = 7 - 3x² - 2y² and below…

A: Region bounded above by the elliptical paraboloid z=7−3x2−2y2and below by the rectangle…

Q: Solve the equation. 2 9-9 sin 0 = 6 cos ²0

A: 9−9sin⁡θ=6cos2⁡θsin2⁡θ+cos2⁡θ=1cos2⁡θ=1−sin2⁡θ

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Q: Find the Maclaurin series for f(x) = e-³x. Find the interval of convergence.

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Q: Round 43.61 to two significant digits. 1

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Q: Evaluate indefinite integral using Integration by Substitution. 40x^3  e^(2x^4 - 3) dx

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Q: 2. Find lim n→∞ N (e-(a/n) - (2a/n) + e -(3a/n) + e + . e-(na/n)).

A: To find the following limit.

Q: Let f be the function defined by f (x) for x > 0. Which of the following is a horizontal asymptote…

A: The given function  for .The aim is to find the horizontal asymptote of the function.