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Q: Let y = tan(3x + 8). Find the differential dy when x = 3 and dæ = 0.1 Find the differential dy when…

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Q: of and dy of For the function f(x,y) = In (9x + 8y), find

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Q: Use implicit differentiation to find an equation for the tangent line to the curve at the given…

A: We can solve as follows

Q: Write the sum using sigma notation: A 7+ 10 + 13 + 16 + ...+ 49 = > B, where n=1 A B =

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Q: Find the area of the region bounded by the graph of f and the xX-axis on the given interval. f(x)…

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Q: For the given functions, find (fo g)(x) and (go f)(x) and the domain of each. 1(x) = 9(x) = 1-8x

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Q: 8. Determine by the ratio test if 2n=1 (2n)! converges or diverges.

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Q: a/3 Find the value of cos(3x) dx.

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 9 y dy 6 У - 2у - 3…

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Q: onvert (-1, v3

A: Given point (-1, 3)

Q: 0Graph the following tu Pune

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Q: Audrey Aden Find polar coordinates to represent (-2, -2) with r >0 and 0 <0 < 2T. Find polar…

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Q: (-3,-).* Plot the point whose polar coordinates are (-3, . In the graph below, use the options to…

A: Given problem:- Plot the point on graph whose polar coordinates are (-3, -π/6)

Q: Find all critical points of the function f(x) = x³ - x? – 54x + 6. (Use symbolic notation and…

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Q: Sketch the region that is bounded by y = 8 - x² and y = 2 – x. Then, find the coordinates of the…

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Q: 3n3-2n2+4 6. Determine by the limit comparison test if Ln= n=D1 converges or diverges. n7-n3+2

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Q: 16. How many terms are needed to approximate 2(-1)"+1 (÷) with an error of less than 0.001?

A: The given alternating series is: ∑n=1∞(-1)n1n4 Let, an=1n4

Q: The graph of f' is shown. Find the interval(s), if any, on which f decreases. 10 y =f '(x) -2 4 6. 8…

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A: We will solve the problems.

Q: %24 #3 %3D (Copy) Questic Find all vectors u that satisfy the equation (1,1,1) xu = (-2,- 1,3).…

A: The solution is given below

Q: f(x, y) = xye-y2

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-3)" (2n + 1) n = 0…

A: Solve the following

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: Volume of the solid by rotating about x axis in the interval [a b] is given below:

Q: » / 13t – 41º + 4 dt = 6. (а) 1 - 5 Jū du: (b) dx = 4x3 (c)

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Q: 6. Use the definition of the definite integral to evaluate (x - 4) dx. in f(x)dx = lim f(x AX A→0…

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Q: 1 11. Use the alternate series test to determine if E=1(-1)"+1, converges or diverges.

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Q: Given that the antiderivative of f(x) = is F(x) = Ln|x| + C, evaluate In3 In2 112

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: Recall:  L=∫abr(θ)2+r'(θ)2dθ We have, r=7sinθ+2cosθ, a=0, b=π

Q: (2х - 9)4 dx

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Q: A company has the following production function for a certain product P(x, y) = 27 x0.3 y0.7 . Find…

A: Given: So,        Px=∂ ∂ x27x0.3y0.7Treat y as a constant     =27y0.7∂ ∂ xx0.3     =27y0.7·…

Q: f(x) = lnx/sqrt(x) Find the first and second derivative   please solve this by writing and not…

A: Topic = Derivative

Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: Consider the following. 2 f(x) = -x2 + 4 Find the x-values at which f is not continuous. Which of…

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Q: of of For the function f(t,a) = sin (5t + 8a), find and at da

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Q: Show that the following differential equation is an exact equation. (2x+xy-1)dx+(x'y+3)dy = 0,…

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Q: 3. A curve has equation y = Find the x-coordinates of the stationary points of the curve in the tan…

A: To solve the following problem

Q: what is the sum of a+b+c of the intersection of the plane and line parameterized by x=r, y=1+r,…

A: A plane perpendicular to a vector and through a point In vector form, a plane's equation is…

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: answer is in next step

Q: Onelogin - Section 104 Homework…

A: Given curve, r=2+3cosθ

Q: / (22* + 3,/5 +) Calculate the indefinite integral: dz

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Q: 4. Find 2+1dt O V4x+1 O V16x? +1+v2 O 4/16x? +1 O V16x? +1

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Q: If the change of variables u = x -2 is used to evaluate the definite integral f(x) dx, what are the…

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Q: Describe the given region in polar form a.) b.), 1 1 2/3

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Q: 11. Solve the second-order differential equation y" – y' – 2y = 20 cos x using the method of…

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Q: (x^2)y - y^2 - x^3 = C (x^2)y + y^2 - x^3 = C (x^2)y + y^2 - x^3 = 0 (x^2)y + y^2 + x^3 = C

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Q: 1 7. Determine by the ratio test if n- converges or diverges. п! -

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Q: Q2) Find the volume of the solid generated by revolving the "tri- angular" region bounded by the…

A: Washer method: To find the volume enclosed between two functions, the washer method is applied. We…

Q: Find the limit. lim (arctan(6t), e-4t In(t)

A: See the details solution in below

Q: If Væ + Vỹ = 9 and y(1) = 64, find y'(1) by implicit differentiation.

A: Solve the following

Q: -3, Plot the point whose polar coordinates are (-). In the graph below, use the options to change…

A: Here, the given polar coordinates is: r,θ=-3,-π6