ergence Theorem to find the flux of F(x, y, z) = (x - z)i+ (y – x)j+ (z – urface of the cylindrical solid bounded by x* x = 5 with outward orientation.

Q: full

A: We will find the polar equation.

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A: As we know from the Green's theorem; ∫CMdx+Ndy=∫∫D∂N∂x-∂M∂ydA   Given; I=∫C3x2-ydx+3xdy So, M=3x2-y…

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A: This is a problem related to divination concept. Based on the given rate and volume we will…

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A: Solution is done in step 2

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Q: 58. 10 (k² - 4k+7)

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Q: Is there a number a such that the following limit exists? (If an answer does not exist, enter DNE.)…

A: Given;  limx--2 (4x2+ax+a+12)/(x2+x-2).

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A: We have to determine whether the series converges or not

Q: H.W: Use the comparison test to determine the following series converge or diverge: 1 3" +5 n=1

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Q: QUESTION 11 Find an equation of the tangent line to the curve at the point corresponding to the…

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Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: Find the surface area of the region that comes from rotating the given curve about the x-axis: T X =…

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Q: Suppose that a, b, and c are unknown constants such that f(x) = x² + ax + b and g(x) = e(3z–3) %3D…

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Q: Let f (x) = x³ 3x². - Find the absolute minimum value of f(x) on the interval [1, 4].

A: We have to find the function value

Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2…

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Q: Solve the inequality R(x) <0, where x-3 R(x) = x(x-4)' function. 4- 2- , by using the graph of the 6…

A: Here we have to find the inequality by using the graph.

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A: topic - definite integral area above the x axis is taken as positive in definite integral when…

Q: 3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 sts 1. dy

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Q: J 3 If f(x) = then f'(x) = f'(-5) = = to dt > Next Question

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: In Exercises 33-42, determine if the given vector field has a potential. If so, find one. 34.…

A: Solved below

Q: Find the area, A, of the region enclosed by the cardioid ... r = 8+8 cos 0. A 96 a (B) 48 A 100 A 52…

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Q: Find absolute maximum & absolute minimum f define on C0, 2]

A: maxima minima

Q: 38. F = (8xy + 3) + 4(x² + y) 5

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Q: What is the monthly payment on a 20 year, $577,000 mortgage, with an interest rate of 6%, compounded…

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Q: |(sec (x)) dx

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Q: Consider the double integral %3D (a+ 2)? + y = 4 Where R is the region of Xy given x² + y? = 4 find…

A: Given problem:-

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Q: A coal-burning electrical generating plant emits sulfur dioxide into the surrounding air. The…

A: Here, the given concentration function is: C(x)=0.9x2 where x is the distance away from the plant in…

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Q: Algurant substitut 1. Jx √x - 2 dx X

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Q: )4 Evaluate (nx) dx

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Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 50…

A: The speed of ripple that travels outward = 50 cm/s

Q: 4. A graph of a function y = f(t) is shown below. Use this graph to answer the following questions…

A: We will use If f(x) is a function. Then roots of f'(x) is called critical points and if f'(a)=0.…

Q: The rate of change of the temperature, r(t), in an oven (in degrees Celsius per minute) t minutes…

A: To find out the temperature change using simpson rule.

Q: Let f(x) = x³ - 3x². Find the absolute minimum value of f(x) on the interval [1, 4].

A: The given function,  f(x)=x3-3x2 on the interval 1,4

Q: Given the v-t diagram, determine the acceleration in ft/s^2 and distance covered in feet at 12s.…

A: These are the following points , we have to go through first The area under the v-t graph is the…

Q: Question 10 of 10, Step 1 of 1 dy Find dx Answer for the equation below. dx 11 8/12 Correct 4x4 +…

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Q: Q5. Which of these statements is False А. (а?)3 — а6 в. а?а? — а 5 2.3 a a2 С. a3 = a¬1 D. a + a' =…

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Q: Determine whether the series converges. 1 k+11 The series

A: The given series,    ∑k=1∞1k+11

Q: Use any method to determine whether the series converges or diverges. √k k³+27 The series diverges.…

A: Given query is to find series converges or diverges.

Q: 1. Find the minimum and maximum values of f(x,y) : = x²y on the ellipse 4x? + 9y? = 36. %3D

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Q: eorem to evaluate the integral. Assume that the curve Cis oriented coun dy, where Cis the triangle…

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