Convert from polar to rectangular coordinates (5,3″) (Round your answer to 2 decimal places where needed.) x = y =

Q: 24. yIn(cos5 (3x¹))

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Q: A box with a square base and open top is to have a volume of 147000 cubic inches. The material for…

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Q: A contour map for a function f is shown. 5-4-3-2 1% + 8 7 165 #32 4 1 10 3 403 Use the contour map…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Evaluate the indefinite integral below. 7 [m²+1 dm

A: Given;

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A: as per company guidelines we can solve only first three subpart when multiplie part question being…

Q: d(x,y) a. Solve the system u = 3x + 2y, v=x+4y for x and y in terms of u and v. Then find the value…

A: u=3x+2y,v=x+4y

Q: Let G be a function whose derivative is shown below. Assume the domains of G and G'are 8 4 0 z # X

A: at x = 4 , G'(x) = 0 hence function has minima at x = 4 ∫04 G'x=G4-G0…

Q: Use Cramer's Rule to solve the following system of equations. Write each answer in simplest form. 9x…

A: 9x-y=87x-6y=5

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A: we have given f(x)=-x22+9

Q: v (m/sec) 40 30 20 10 12 3 4 5 6 t (sec) The total distance traveled is approximately i ! meters.

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

Q: 5. Evaluate the triple integral fff 6xy dV, where E lies under the plane z = 1+x+y and above E the…

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Q: Describe the given region in polar coordinates. R:srsses (Type exact answers, using as needed.) C

A: According to diagram the equation of the inner semi circle is x2+y2=4, 0≤θ≤πand also equation of the…

Q: Consider the equation. Explain your answer and how the theorem applies in each part. x³ + e* = 2 a)…

A: We have given a equation. We have to use theorems to prove that there exists a real and unique…

Q: Find the smallest number n of terms needed to obtain an approximation of the series 10-5. Hint:…

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Q: For the function f(x) = x(lnx)² a. Find the domain b. Find the first derivative, and simplify it c.…

A: A per guidelines,  I can answer maximum three subparts of a question.  However, I did five subparts…

Q: Find all angles ? between 0° and 180° satisfying the given equation. Round your answer to one…

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Q: Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = 1³ To calculate (AB)',…

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Q: -g N find dy/dx (x-1) (x+1) 1-x²

A: We need to find derivative.

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

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Q: Let f(x,y) and let g(x, y) O rºy 26+y6 O 6x³y³ 6x6 + 6y g only Which of the above functions are…

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Q: 3. The function f and g are given by f(x) = x² and g(x)=x+5. Let R be the region bounded by the…

A: Given, The functions f and g are given as: f(x)=x2g(x)=-12x+5 R is the region bounded by x-axis.

Q: Express as the sum or difference of logarithms. log_(9)13z

A: Let the given logarithmic function be  y = log9(13z) We know that  loga(MN) = logaM + logaN

Q: Use cylindrical or spherical coordinates, whichever seems more appropriate. Find the volume V and…

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Q: 2 1 2 lim f(x

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Q: Consider the following. f(x)=xIn(x¹), (-1,0) Find an equation of the tangent line to the graph of…

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Q: 4. An open box is to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of…

A: .

Q: // sin (²+") cos (²+¹) dA, where R is the triangle with vertices (0,0), (,0), 2 R 1. Evaluate nd…

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Q: Find the sum of the first 40 terms of the arithmetic sequence with first term 3 and 40th term 159.…

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Q: Find the distance between the given points. (2, 1,-4), (-6, 5, -3)

A: The given points are:A=2, 1, -4B=-6, 5, -3

Q: An oil refinery is located on the north bank of a straight river that is 1 km wide. A pipeline is to…

A: The cost of laying pipe is $300,000/km over land to a point P on the north bank and $600,000/km…

Q: Find the directional derivatives of the following functions at the specified point for the specified…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: (a) In order to find the general antiderivative of f(t), we need to rewrite f(t). Which of the…

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Q: TC 0 럭 In x X dxdy

A: ∫0π∫0ylnxxdxdy

Q: Problem Number 10 Given C(x) = 62x² + 27,500 R(x) = x³ - 12x² + 40x + 10, Find each of the following…

A: Given: C(x)=62x2+27500R(x)=x3-12x2+40x+10 We are required to find: a. Total profit, P(x)b. Total…

Q: The latitude and longitude of a point P in the Northern Hemisphere are related to spherical…

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Q: = 7. Use Lagrange multipliers to find the points on the circle x² + y² nd farthest away from the…

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Q: Problem Number 1 A ladder is sliding down along a vertical wall. If the ladder is 10 meters long and…

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Q: Evaluate the indefinite integral below. (106 (10ex - e4) dx

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Q: Set up the triple integral of an arbitrary continuous function f(x, y, z) in cylindrical or…

A: The solution is shown in step-2

Q: Business: Maximizing Revenue. Cruzing Tunes determines that in order to sell x units of a new car…

A: As per our guidelines we are allowed to answer only three subparts of the given problem. Kindly…

Q: Solve the following differential equation by using integrating factors. xy' = y - 8x^3,  y(1) = 48

A: Given differential equation is,

Q: What is the angle between the given vector and the positive direction of the x-axis? (Round your…

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Q: Find the indicated coefficients of the power series solution about x = 0 of the differential…

A: Using taylor series expansion

Q: Use logarithmic differentiation to find dy/dx. y=x√√√x²+ + 10, x>0 dy dx 11

A: y=xx2+10

Q: Minimizing Construction Costs The management of the UNICO department store has decided to enclose a…

A: let  x= length of steel fence        y= length of one side of pine boards   given:  xy=933 y=933x…

Q: Evaluate the integral: OF 17√x² x = 16 tan (0) x = : 4 sec (0) x4 16 (A) Which trig substitution is…

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Q: What is the volume of the parallelepiped with sides 3i + 4j + 9k, 10j + 4k, and 2k? volume =

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Q: Design a rectangular milk carton box of width w, length l, and height h which holds 494 cm^3 of…

A: If l is the length,w is the width and h is the height of a box then  Volume = lwh Surface area= 2lw…

Q: Use the Law of Sines to find the indicated side x. (Assume a = 304. Round your answer to two decimal…

A: Consider the figure

Q: Find SydV, where E' is the solid bounded by the parabolic cylinder z = E and z = 15 - 2y x² and the…

A: .