Use the formula for the sum of a geometric series to find the sum or state that the series diverges (enter DIV for a divergent series). 7-4n n=9 S =

Q: Evaluate the integral. In(x) dx, y > 0

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Q: 3. y = Vx*

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Q: llowing series determine if the series converges or diverges cence or divergence. (e) Alternating…

A: We have to check the given series is converges or diverges according to the given information

Q: Use the quadratic formula to solve for x. 5x+5x-1=0 (If there is more than one solution, separate…

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Q: (i) g(x, y, z) = In(3.x²yz); . %3D

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: This question can be solved using the concept of equation of line passing through two given points.

Q: Solve for what is asking (show complete solution). Your final answer must be in POLAR FORM. 2. Find…

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Q: Determine whether the following function continuous at point (1, 1). Justify your answer. (x²-xy if…

A: Here we have to determine whether the given function is continuous or not.

Q: Sketch the region in the plane consisting of points whose polar coordinates satsfy the given condi…

A: formula  r2=x2+y2   condition  1<r≤3   for r = 1 r2=x2+y2x2+y2=1 which is equation of circle with…

Q: Examples: Find the limits of the following: 1. lim sin x = sin1 = 2 5. lim sec x = lim cos(-) = cos0…

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Q: 1. Determine the absolute extrema of f(z) = (sin a – 1) cos z on -. 2 if they exist, and identify…

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Q: dx xV2ax – x2 ах

A: This is a problem of integration. Based on the general formula we will solve the question.

Q: Let f: R →R be defined as Sr + 2, if a < 1, 1-2a, if a 21. S(1) Plot f(r) of f of all r) Based on…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: 5x2 + x + 16 dx x3 + 4x 9)

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Q: Determine whether or not the function is homogeneous. If it is homogeneous, state the degree of the…

A: Answer is in step 2.

Q: 6) (7 tarr-3/2 x secdx dx

A: Here we have to solve the given integration.

Q: (a) Find an equation of the tangent line to the curve y 14x sin(x) at the point (x/2, 7n). y = (b)…

A: a) y=14xsin(x)Differentiatey'=14sin(x)+14xcosxSubstitute x=π2y'=14sinπ2+14π2cosπ2y'=14+0y'=14Slope…

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: The objective of the question is determine the interval in which given vector-value function is…

Q: Consider the following. u = (6, -1, 0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal…

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Q: 1 у 3 2 y (х + 2)

A: y = (x+2)-1/2 dy/dx = (-1/2)(x+2)(-1/2 - 1) dy/dx = (-1/2)(x+2)(-3/2) dy/dx = -1/2(x+2)3/2

Q: Find the gradient of the function at the given point. 2 = In(x2 – y) - 9, (2,3) Vz(2, 3) = Need…

A: This is a problem related to derivation. Please follow the procedure given below for solution.

Q: What is the area of the region bounded above by y = 2x and below by y = X on the interval [0, 3]? 8…

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Q: ii, Calculate the volume and surface area of a solid cylinder 1.5 m diameter and 2.5 m tall.

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Q: f(x) = (sin x – 1) cos x on 2'2.

A: I am attaching image so that you understand each and every step.

Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the function…

A: Here we will find the cost of producing 201st through 260th dress,

Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: sequential convergence Lim 3-8n h-oo n+2

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Q: Consider the following lines defined by I,: x – 3 = y – 5 = z – 6 and I2(t) = . c) Determine if the…

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Q: Determine

A: We have to determine the given series is converges or diverges

Q: 3. Find the derivative of y = sin² 3x two different ways, a. Use the product rule. b. Use a power…

A: Here is the solution:

Q: A region bounded by f(x) = 3 - x, y = 0, and x = 1 is shown. What is the volume of the solid formed…

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Q: Evaluate the double integral over the rectangular region R. 9xy*dA; R = {(x, y): – 1 < x < 1, - 5 <…

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Q: Solve the problem. Given that f(x) = 4x + 4, find lim [f(x) - f(7)/(x - 7)] x-7

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Q: Consider the following. u = 3i - j- k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v. (b)…

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Q: Convert the point(r,o) from polar to nectangular COordinates ( Ca,s

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Q: Two systems of equations are given below. For each system, choose the best description of its…

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Q: 00 Evaluate "(1– x)e¯* dx.

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Q: F the curve. -)i + sin(nt)j

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Q: Solve the area of the surface of revolution generated by revolving the arc of the curve, x=y° from…

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Q: 28 74.6°

A: Given query is to find the vector components.

Q: -1 8 - 2 Use this procedure to find the inverse of A =| -6 49 -4 34 -5

A: We can solve this as follows:

Q: Consider the function y= >x3 – 9x + 4. a. Sketch the graph of y= x3 – 9x + 4. b. Find and describe…

A: Let's find.

Q: What is the differential equation of the given 1 parameter family of solutions?

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Q: Зx+2 xp- 1-25x2

A: Given

Q: how did you arrive at x=34

A: Apologies for the inconvenience. Here is the correct solution:   The given profit function is:…

Q: 1. f(x) = Vx , g(x) = 9 - x² %3D 2. flx) = Vx , g(x) = х-2 3. f(x) =, g(x) = Vã

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ n=7 3n2+2

A: Given that ∑n=7∞  2n+33n2+2using comperision test2n+33n2+2&gt;2n3n2  for n≥7∑n=7∞…

Q: The function f(x) is continuous everywhere. FALSE O TRUE 3.

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…