I. Evaluate the double integral 5 2x SS 0x (3x + 2y)dydx

Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1. f* f…

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Q: Find the volume of the solid formed by rotating the region enclosed by y=e¹ +3, y=0, x=0, x=0.8…

A: Consider the given function y=ex+3, y=0, x=0, x=0.8The volume about x axis is evaluated  as…

Q: Find the power series representation for f(x). f(z) = ;}. O None of the other choices

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Q: 10) The graph of h(x) is shown below. Find the average value of h(x) over the interval [0, 10].…

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Q: Find the magnitude of the vector. Given answers in simplest radical form for magnitude. p =

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Q: ✓ 5) a) lim X-1 Hopital's rule 2 x²-7x +6 x2 - 5x-6 - b) lim ex- e - 2x X-0 2 x² Find the limit. IF…

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Q: 9. Find all the vertical and horizontal asymptotes for the following function and indi- cate the…

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Q: ntervals on and concave down and identify the x-value corresponding to any points of inflection. "

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Q: answer the following:

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 17, 18, 19, 20, 21 and 22 Find a power series representation for the function and determine the…

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Q: f(x, y) = 9 — x² y4

A: To use the second derivative test, we need to find the critical points of the function first. To do…

Q: (b) 2 1 √2 t√²-1 dt (c)

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Q: Find the area between y = 1.5x + 5 and y = x² - 2. The -2 and x = 3.5. graphs intersect at x = − -4.…

A: The equation of curves are y=1.5x+5 and y=x2-2

Q: Consider the following. r(t) = (7t)i + (4t − 3)j + 6tk, P(6, 1, 6) (a) Find the arc length function…

A: The arc length of the  vector curve r(t) is given by St=∫abr'tdt

Q: Find the absolute value of the complex number 1 + 2i.

A: We need to find the absolute of given complex number.

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A: The top and bottom margins of a poster are each 9 cm and the side margins are  each 6 cm. If the…

Q: If a cup of coffee has temperature 90°C in a room where the ambient air temperature is 22°C, then,…

A: Given that, T(t) = 22+ 68e-t53 We know average value in [a, b] is, Tavg = 1b-a∫abT(t) dt Here, we…

Q: A rectangular poster 150 in ² be the width let x of anca as any indicated be the length of the…

A: Given that the rectangular poster is to have a total area of 150 inch^2. Let x be width and y be the…

Q: Construct a problem where the area under the curve of a graph is equal to 2.

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Q: Find the area between y = 6 - ² and y = x² 2 -5 -4 N 8+ 7 3 2 -1 -2 -3 The area between the curves…

A: The equation of curves are given y=6-x2 and y=x22-4

Q: 2) Evaluate the indefinite integral: f2x sin(3x) dx

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Q: Solve the trigonometric equation for all values 0 < x≤ 6. 2 sin 2x = √3 ******

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

Q: Determine either absolute convergence, conditional convergence or di Σ (-5)-n n=1 O Converges…

A: The given series is  ∑n=1∞-8-n [picture is not clearly visible, if it is any other digit instead of…

Q: Let the vector v have an initial point at (4, 7) and a terminal point at (-2, 6). Plot the vector v…

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Q: Write the vector below in trigonometric form. f =< -√√6, -3v

A: f=&lt;-√6,-3√2&gt; Trigonometric form = ||m||&lt;cosθ,sinθ&gt; m=(vx2+vy2)tanθ=vyvx

Q: Octo of large aquarium + Cos (7²) gallons f(t) = 100 - † (os (7²) leaks OLA of the Flows Salt Water…

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Q: 12) The growth rate for a 24-hour period of a bacteria colony is measured to be r(t) = 96e, where…

A: NOTE: Refresh your page if you can't see any equations. . the growth rate is given by and the given…

Q: The graphs of f(x) = x²-3x - 4 and g(x) = -2x - 2 intersect at the point (-1,0). The (acute) angle…

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Q: Find all four ways how to write point (3, 60°) in polar coordinates.

A: The point r,θ=3,60°

Q: The initial and terminal points of RS are given below. Write the vector as a linear of standard unit…

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Q: Differentiate f(x) = cos - ¹ ( f'(x) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative apply chain rule:…

Q: A man starts walking north at 3 ft/s from a point P. Five minutes later a woman starts walking south…

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Q: Suppose you fanction for f (x) > 0 fa has Sketch 6 each fil arc given these conditions on (-0,2) om…

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Q: write The marginal Cost X yards of fabric ('(x) = 3-0.01x + 0.0000 12x² in dollars per yard incost…

A: We can write the integral and find the cost .

Q: 4. Categorise (with reasons) the eigenvalues and eigenvectors of the following phase portraits. (a)

A: Given the phase daigram.

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

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Q: 71. an = 1 Vnt tr 1 √2n4 san s 1 √²n²

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Q: The rate of change of profit for a company is given by p(t) = 327 e thousand dollars per year, t…

A: Given that , pt=327e-0.21t

Q: 3. f(x, y) = x² + 4xy + y²

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Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 4 √x - 4 f(x) lim x…

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Q: f(3)= 7 and f'(3) = -3 find d/dx sin^2 (f(x)) at x = 3

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Q: 03 3 Grwein (wave → ( x² - y²)³ zy <= Find 2 du - 5 dy @ (3,1) dx 2 dz.² 512 27

A: Given curve: x2-y2xy3=51227 To find 2dydx-5d2ydx2 at point 3, 1.

Q: Find the first partial derivatives of the function. 4 f(x, y) = x² + 7xy5 X fx(x, y) = fy(x, y) =

A: Given f(x, y) = x4 + 7xy5

Q: Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your…

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Q: Construct a problem where the derivative of a point on a graph is equal to 1. It cannot be a linear…

A: To construct a problem where the derivative of a point on a graph is equal to 1.

Q: 3. DETAILS PREVIOUS ANSWERS 625T 2 SCALCET9 6.3.016. Use the method of cylindrical shells to find…

A: y=x, x=0,y=5

Q: e Root Test to determine whether the series convergent or divergent. yan n=1 n²+3 7n² +9 te the…

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Q: Solve the first-order linear differential equation. (Use C for any needed constant.) y' + 3x²y = 9x²…

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Q: Determine convergence or divergence of the series. n=1 In n 4n-5 O Converges O Diverges W

A: The given series is:∑n=1∞ln n4n-5n