How do you convert to cylindrical coordinates???

Q: ·S√2t³t² dt = dr 8 √2x³ - x²

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Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

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Q: i. A population of Transylvanian Chihuahuas has a natural annual growth rate of 12%. The population…

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Q: Kate starts a new business manufacturing bobble-head figures of Eagles players. Her initial cost is…

A: To solve the following problem

Q: 25. y = In xa bx

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Q: A company estimates that its sales will grow continuously at a rate given by the function S′(t)=40et…

A: To find the total sales with rate of sales given.

Q: მა Let w = f(x, y) with x=(r, s) and y= o(r, s). Then მr თ მ მე მუ მო მu_მე ?x 3r მuo მუ მე მთ მე Әх…

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Q: 3. Given function f(x) = 2x² + 8x. Find (A) f'(x). (B) The slope of the graph of f at x = 2. (C) The…

A: use derivative of a polynomial function.

Q: Find f such that f′(x)=x2−4and f(0)=8.

A: Given that f'x = x2-4 and f0=8.

Q: Given the surface zx² – xy² - yz² = 18 and the point (0, -2,3). Find an equation of the tangent…

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Q: g(r,t, z) = 7r(5 — cos(t)) — 2z dg 80% 80% 80 ər dg dt dg дz || ... 000 000 000 --- 000

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Q: Find all the local maxima, local minima, and saddle points of the function. 3 f(x,y) = 11x² - 2x…

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Q: Given the series 1 + 81 729 Does this series converge or diverge? O converges O diverges If the…

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Q: S f (t) dt = cos(t²) + C, what is f (t)?

A: Given query is to find f(t).

Q: eger or a simplified fraction.)

A: Topic:- application of derivatives

Q: Which of the following is the power series representation for the function f(x) = ¹¹:

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Q: 2. When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01…

A: Given: Rate of increase of radius = 0.01 cm/min Radius = 50 cm

Q: Let f (x)=5. Which of the following statements is true about the graph of f?

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Q: Find the velocity and acceleration vectors in terms of u, and up. do r = a cos 40 and dt V= = 4t,…

A: Solution Given r= acos(4theta)

Q: (D4 − 4D³ + 14D² − 20D + 9)y = 0 -

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Q: x²+x-2 3. Find the vertical asymptote(s) for function f(x) = r³-3x²+2x

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Q: Find the area enclosed by the curve whose equation is given below: r 10.6 sin = 0

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Q: Let f(x)=√(x−1). Find a value of c∈[2,5] so that f(c) is the average value of f(x) on the interval…

A: To find the value of c such that f(c) is average value of given function.

Q: Find the arclength of the curve x = 1 < t < 3. 1 ㅎㅎ .t2 with Y 2 =

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Q: What is the remainder when f (x) = 2x² - 3x + 1 is divided by x-2? Remainder 3

A: f(x)=2x2-3x+1 When divides by (x-2)

Q: Find the area of the region that lies above the x-axis, below - t with 0 ≤ t ≤ 1. the curve x = t² +…

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Q: a. Determine whether (F(x,y)) is a conservative vector field? b. If the vector field is not…

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Q: A honey bee population starts with 100 bees and increases at a rate of N (t) bees per 15 week. What…

A: given  population start with 100 bees inceasing rate is  N(t)  bees per week

Q: Let F = (y² + z³, x³ + z², xz). Evaluate Sow FdS fc 3 each of the following regions W: A. x² + y²…

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Q: Describe the end behavior of each func 3 15) f(x)=x²-x³-4x² +6

A: f(x)=x4-x3-4x2+6

Q: Answer

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: Find the points (x, y) at which the polar curve r = 1 + sin(0), horizontal tangent line. Vertical…

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

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

A: given   z3-5xy+3yz+3y3-90=0f(x,y,z)=z3-5xy+3yz+3y3-90∂xn∂x=nxn-1

Q: Use I'Hopital's Rule to evaluate the limit. lim x-0 anx 0 을 01 01

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Q: Let the velocity vector be v(t) = (6 cos(3t), 4t³, 9 exp(3t)) and the initial position vector be…

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Q: (For Marketing & Sales Analysts-Consultants). Four months after the deliveries of goods were…

A: Given the sales modely=Cektwhere y represents the sales per month in a given month tIt is also given…

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

A: To solve the following integral

Q: A. B. Let the position vecor be R(t) = (-t, 4 cos (2t), 4 sin(2t)). Compute the principal unit…

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Q: A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.7 x 10° m and has an…

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Q: This problem involves empirical probability. The table shows the breakdown of 92 thousand single…

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Q: 12 12. Given that sin 0 = for 8 in Quadrant II, find the exact function values. sin 20 b. cos 20 c.…

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Q: 2² Calculate Rn for f(x) = - R + 6 on the interval [0, 4] and write your answer as a function of n…

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: (a)   given radius is 5 and centre is (1,2)equation of circle is standard form is  (x-h)2+(y-k)2=r2…

Q: Consider the following parameteric equation Elimate the parameter to obtain an equation in x and y…

A: To eliminate the parameter and get the equation in Cartesian form

Q: Given f(x) = -(2x - 1)2 (4 + 3x) a) What are the x and y intercepts? b) Determine the end…

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Q: 7″ Find the exact value of tan- 12 02-√3 02+√3 0-2-√3 0_2+√3

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Q: 백 [(2sino)? - (√ī)2]

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Q: Find the equation for the tangent line to the graph f(x) = = x cos 6x at x = π/6. of

A: Given function:- fx=xcos6x