Convert the Cartesian coordinates (3, 3) to polar coordinates. (3√2, 45°) (3√2, 60°) (3√2, 30°)

Q: Q5/Find the Laplace Transform 3-f(t) = sint cos t

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Q: Find the indicated derivative. f (x) = x° sin x; find f(4)(x).

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Q: Find the general solution of the differential equation. (Use C for any needed constant.) dy = 5 - y…

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Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: Please use definite integral in solving for the area. y = |x| – 2 and the x axis

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Q: 5. Let ƒ be a function satisfying the following properties: lim f(r) = 2 continuous on R \ {0} •…

A: a. Here, we have  limx→0-fx=-∞, which means the function has a vertical asymptote x=0; limx→+∞fx=0…

Q: cot ve csc² Ve do 3 Vo (4 + cot? Ve)

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Q: Let 7(t) = Find F(t)dt (don't include the +C)

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Q: True or False (Mean Value Theorem): For the function f(x) = ÷+ V on the interval (0,9]. If f' (c) =…

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Q: onsider the polar curves C1 :r = 1+ cos 0 and C2 : r = 2 cos 0, and let R b

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the cylindrical shells method we have to find the volume.

Q: 5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)

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Q: The marginal price for a weekly demand of x bottles of shampoo in a drugstore is given by the…

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Q: valuate the following indefinite integral. 4 +u -du u * 4 + u du% = u

A: Given query is to find the integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) x - 8 (x + 4)2 - dx + 64

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Q: (6) When David was born, his grandparents deposited $10,000 in a college account that promised 6%…

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost other…

Q: y3 x³ – 4x – 1 = 0 3 Consider the implicit curve dy/dx and use this to explain why dy/dx is always…

A: SOLUTION GIVEN BELOW

Q: Evaluate the integral 3 2x cos(xy)dydx 2

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Q: The​ half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

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Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

A: Solving

Q: 3.) Find the area bounded by the curve y = 2x and y =x-4 a.) Using Vertical strips b.) Using…

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Q: 2016 N Q3 -= V3-3. V3 - 1 a Without using a calculator, find the integers a and b such thất V3 +1

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Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

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Q: A flu epidemic hits a college community, beginning with five cases on day t = 0. The rate of growth…

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Q: 10

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Q: Given f''(x) 25 sin(5x) and f'(0) = - 1 and f(0) = 2. | Find f() 6.

A: Given query is to solve the differential equation and find the valu of indicated function.

Q: w +x +4y +3z =5 2w +3x +y-z =1 w +2x -5y +4z = 3 w -3z =9

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Q: If the graph of y= ax+9 has a x-intercept at x= 3 and a vertical asymptote x =-3, the x+c a+c=

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Q: | 10re", | 2:r3 + 3x² – 12x, r>0 * <0 Given: f(r) = (a) Identify all critical numbers of f. (b)…

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Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

A: Given: y=8x, 16,32

Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + D − 2)y = 2x − 40cos2x

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Q: Let C be the parametric curve defined by x(t) = t² – t – 2, 1 y(t) = t3 – t2. 2 %3D (-:) 3 -2,…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: Vz2+4-2 (d) lim 22

A: We can find the limit as below.

Q: If an object's position over time is given by the function d(t) = (t +3)e i for t > 0, on what…

A: We have to find range of t for which position is increasing &amp; concave up.

Q: Admission to a baseball game is $⁢3.50 for general admission and $⁢7.00 for reserved seats. The…

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Q: What would be the shape of the graphr= 2 cos 0, given that 0 = 0, 7, 5, ? semi-circle in the first…

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Q: ) Find the pdar eawation for the cartesian curve x²-y²= \x?+yz A)rsinz0=2 b)r=ュ )cos 20=1 Dr=cos2@…

A: In polar coordinates, substitute x =r sin(theta) and y= r cos(theta)

Q: Given the vector-valued functions - 4t ü(t) = e-i+ e-j – tk ö(t) = tỉ – 4tºj + 3k -21 %3D (i(t) ·…

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Q: Find the area of the region bounded by the x and y axes. The line x = 2. Show your complete solution…

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Q: A company manufacturers and sells z televisions sets per month. The monthly cost and price-demand…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: I. Write 2 – 7i in polar coordinates on the complex plane. II. Find (1+ i)° using DeMoivre's…

A: z=2-7ia=2, b=-7z=a2+b2     =4+49|z|=53θ=tan-1baθ=tan-1-72θ=-tan-172Polar form:=z cos-tan-172+…

Q: Solve this problem algebraically, using your knowledge of derivatives. Do not solve by graphing.…

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Q: Convert the polar coordinates (1, 111) to Cartesian coordinates. O(V3/2, -1/2) O (1/2, -V3/2) O…

A: The objective of the question is determine the Cartesian co-ordinates.

Q: 11.) Find the area inside r -3cos(e) and outside r = 1+ cos(e)

A: As per guidelines we can solve only one question at a time so please repost other question.

Q: 7. S 8x³ e** dx il ww be 7dx 8. J sec x esinx bne

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

Q: Given f'"(x) and f'(0) = 2 and f(0) 2x – 4 - 2. Find f'(x) = and find f(4) : =

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Q: 8) Confirm that the stated formula is the linear approximation at x =0 %3D (1+x) =1+15x

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Q: Find the derivative of the function y=(4x+1)^5(3x+1)^-4

A: We can find the derivative as below.

Q: Evaluate the integral. 4 2х e dx 4 2x e dx = (Type an integer or decimal rounded to the nearest…

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