7. Find function q(z) = x³ − 3xy² + iv(x, y) is analytic, find v(x,y).

Q: Find the solution of the given initial value problem. 5y""+65y-580y = 0; 11, y'(0) = 31, y"(0) =…

A: A detailed solution is given below.

Q: Find the minimum distance from the point to the plane x - y + z = 6. (Hint: To simplify the…

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Q: Let f(x) (1) (ƒ + g)(x) = = - 9x + 8, g(x) = x - 1, find the following: (2) (ƒ − g)(x) = - (4) (3)…

A: To find the value of given function and their domains.

Q: f(x)=1/(1-2x); 1.09-1

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Q: Solve for (a)(ii)

A: Solution:∫π2πsin42x1-sin2x32dx∫π2π24sin4xcos4xcos2x32dx∫π2π24sin4xcos4xcosx3dx∫π2π24sin4xcos4x-cosx3…

Q: Using sigma notation, write the expression as an infinite series. Σ n = 1

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Q: In each of the following cases, find the area of the region that lies inside both the curves. (b)…

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Q: f(x)=(1+ 4x)1/5; (0.94)1/5

A: We have to find the value of function at point x =.94

Q: Find dx X O A. O B. O C. O D. 16 4 **** 5√x 5 X 16 3 X i - 4) - 1x -20% √x - 4√x 5 X 16 3

A: We need to find derivative.

Q: Use any method to determine if the series converges or diverges. Give reasons for you! M8 n=1 Select…

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Q: (a) Give the definition of line integral of a vector field over a path. (b) Compute the line…

A: Use line integral concept

Q: Alfredo and Alicia are having an ice skating contest. They skate along a long, straight track and…

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Q: -1 Find the derivative of the function: y=6 sin ¹¹ (x²). y'= y'= O y'= 12x y'= -X 2x 2 + X 12x 4 4 X…

A: Given y =6 sin-1 (x2 )

Q: What amount increased by 180% is $32.56? $18.09 $91.17 $12.45 $11.63 $180.89 4

A: what amount increased by 180% is $32.56

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: 8W!! n=1 elect the correct choice below and, if necessary, fill in the answer box to complete your…

A: We have to find out the convergence test

Q: Evaluate the indefinite integral. Select the correct answer. X 64 64 cos(8x) + 64 cos (8 x) + cos(8…

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Q: a) b) c) The height of a rock climber thours after she begins her ascent up a mountain is modelled…

A: Average rate of change  of a function f(x) over a interval [a,b] is given by Avg.=f(b)-f(a)b-asee…

Q: The graph of f is shown in the figure. The shaded region A has an area of 5.5, and Ja (6) (c) (d)…

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Q: Find and simplify each of the following for f(x) = 4x² -5x + 5. (A) f(x + h) (B) f(x+h)-f(x) (C)…

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Q: Question vector equation r(t)=. Show that the point Let C be a curve defined by the P(-5, 11, ¹) ies…

A: Solution of given question is written in below steps.

Q: 6. If u = given by x = +2, where x+y+z= 1, prove that the stationary value of u is y b a+b+c' a…

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Q: Find the area of the region inside one leaf of the three-leaved rose r = cos 30. The area of the…

A: We have to find the area of the region inside one leaf of the three-leaved rose.

Q: Apation car is parked 65 feet from a long warehouse (see figure). The revolving light on top of the…

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Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. Then…

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Q: The revenue function is given by R(x) = x - p(x) dollars where x is the number of units sold and…

A: Given :Rx=x.pxpx=414-x5x=10

Q: Question vector equation Let C be a curve defined by the r(t)=. Show that the point P(-5, 11, ½)…

A: Solve the following

Q: ach function, determine whether it is a polynomial function. Function (a) v(x) = 8x³ +0.9x² (b) u(x)…

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Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: Find dx dx 0.4 0.4 -3.3x-4+5x -4 -3.3x 5x ...

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Q: Evaluate 3x e +3 5x e 3 dx

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Q: Sketch the graph of the function by first making a table of values. f(x) = 1

A: This question can be solved using the concept of plotting of graphs.

Q: a)₁- b) [ : Evaluate the integral 3x - 1 (x + 4)(2x - 1) : Evaluate the integral dx x√x² - 64 6 c)…

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Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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Q: dx 1. Find the general solution of + dy y+ xy² + x³ x+x²y+y³ = 0 using DE with IC

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Q: Compute the first four partial sums S₁, an = n S₁ = 1 S₂ S3 S4 = II = = .../ S4 for the series…

A: Let's find partial sum.

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

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Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use for the…

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Q: Find the areas of the regions enclosed by the following curves. (a) r = 1+2cosł

A: Given curve, r=1+2cos(θ) For range let r=1+2cos(θ)=02cos(θ)=-1cos(θ)=-12⇒θ=2π3

Q: A farmer buys a new tractor for $145,000 and assumes that it will have a trade-in value of $86,000…

A: We need to solve linear equation model question.

Q: Evaluate the integral using the indicated trigonometric substitution Select the correct answer. 9 1…

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A: Let f(x, y)  be a function of two variables. A pair (a, b) is a critical point of 'f' if either…

Q: What is the equation of the tangent line at x=-2 of f(x)=√√x -1

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. M8 Σ nl…

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Q: Find the average value of f(x) = √√√x + 6x over the interval [0, 2]. Submit an exact answer using…

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Q: Given that f(x) = x² 8x and g(x) = x + 15, find (a) f + g= (b) f-g= (c) fg= f (d) and its domain is…

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Q: Question 8 Which of these is the volume of the solid of revolution generated by revolving the region…

A: Here we have to find the volume.

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: Find the area between y= |x|^y=2-12x₁

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