Evaluate CF dralong the line segment C from P to Q. F= x j; P(3,2), Q(3,8) SCF dr- i

Q: Use Green's Theorem to evaluate the integral (3x² – y)dx + 3xdy where C is the circle a? + y? = 1…

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…

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

A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

Q: 7. Find the flux of F(x, y, z) = x î+ y ĵ+ z² k across the sphere of radius 1 centered at the origin…

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Q: 12)Use the Trapezoidal Rule to estimate the integral ₁√x² - 1 dx using 4 intervals. Round to the…

A: Solve the following

Q: 2. Evaluate fff 12ydV where the limits of integration is the region below 6x + 4y + 3z = 12 in the…

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Q: If 3x² + 2x + xy 2 and y(2) -7, find y' (2) by implicit differentiation.

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Q: 2x-5y ≥10 y-axis 4 3 2 1 -54-3-2-1 1 2 3 4 5 6 6 5 N -3 -4 -5 -6 x-axis

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Q: IPIAI Evaluate p²^z^¸¶= J=

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Q: b) c) dx x²(x²-16)2 S S- dx 1 (4x²+3)2 S. X = X = dx = dx =

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Q: Find the k component of (curl F) for the following vector field on the plane F=(xe^2y)i + (8ye^x)j

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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: Find a, and d for each arithmetic series. See Example 8. 61. S20 1090, 920 = 102 www 63. S16-160, 16…

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Q: taylor series & radius of convergence of f(x)=sin(2x), centered at a= pi (22/7)

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Q: √1² +25 -2 I dt

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Q: Evaluate the definite integral. (Use symbolic notation and fractions where needed.) dx x2 + 1

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Q: Graph the function using translations. f(x) = 3x+1

A: We will find the suitable graph.

Q: Determine whether the series converges using the limit comparison test. Σ20k²+k-20 k=1 The series

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

Q: Determine the following general antiderivatives. [3x (x²-5)³4x [Axe+²7 tan(+²7) dx 10 d. cos(x)…

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Q: 14) Find the mean value of the function y = 4 - x² on the interval [-1,2].

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists of the…

A: limx→∞ x2+8x3-11x=limx→∞ 1xx2+8x1x(3-11x)=limx→∞ x2+8xx23x-11

Q: a. x²-16 lim- x-4 x-4

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

Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

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Q: 6 Find the derivative of: 9/x

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

A: maxima minima

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

A: The given series,    ∑k=1∞1k+11

Q: Find the area of the region enclosed by the graphs of x = y³ - 14y and y + 3x = 0.

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Q: or each of the following integrals, indicate the trigonometric substitution that could be used to…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Suppose f(5) = 9 and f'(5) = - 3. An object moves along the curve y – 3x? f(x) – 5x = 649. For an…

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Q: 1 I²+1 Estimate the area under the graph of f(x) = = rectangles and right endpoints. Rn = Repeat the…

A: The Right end point approximation formula is: ∫abf(x)dx=∆xf(x1)+f(x2)+f(x3)+...+f(xn) Divide…

Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

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Q: Determine the area between the functions on the interval [-2, 0]. y = x^2 + 2 and y = 3x + 6 24.67…

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Q: Write the logarithmic equation in exponential form. log7343 = 3 7³ = 77 7343 = 2 7³ = 14 3437 = 2 7³…

A: We will write in exponential form.

Q: Find the derivative of the function. f(x) = (5x + 7)³ (06² +00) ² f1(x)

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Q: What is the difference between a function and a parametric curve? Make sure to justify your answer.…

A: This is a problem related to function and parametric equation for the same. Based on the general…

Q: 2π сos20 Using complex variable techniques evaluate the real integral: 2 dᎾ . 4-3cos0 Classify the…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for…

Q: 1 1 0 Let A = 4-[4-4-7] and B= -61 1 1 Find BA if it is defined. Otherwise, click on "Undefined". BA…

A: The objective of the question is evaluate the matrix multiplication.

Q: full

A: We will find the double derivative.

Q: . Find an equation for the surface area of the rectangular box. =(x, y) dy = . If the surface area…

A: We will solve the surface area problem.

Q: The logistic growth function f(t)= 116,000 1+5500 e describes the number of people, f(t), who have…

A: f(t)=116,0001+5500 e-tA)when epidemic begin;t=0f(0)=116,0001+5500=21.087The number of people…

Q: Consider the following matrix. -2 -3 A = 5 7 Choose the correct description of A. Find A if it…

A: First check that given matrix is singular or not then find its inverse.

Q: 00 2 10) Evaluate the improper integral dx. Use limits as needed 8

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Q: 12. A company is constructing a cylindrical can for a new product. They want to keep the cost of…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Given : ft = -16t2+361t+5 We know that the quadratic formula for ax2+bx+c=0 is defined as…

Q: The gradient of f(x, y, z) = xy²z³ at the point (1, 2, 1) is

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Q: Use Newton's method to approximate a root of the equation 3z7 + 2z¹ + 2 = 0 as follows. 3 be the…

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Q: x2 – 4xy – 2y2) dx + (y2 + 4xy − 2x2) dy = 0

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Q: Determine a, and as for each arithmetic sequence. See Examples 3 and 4. 29,. 24. -3, -7, -11,... 25.…

A: Since, the student has mentioned to solve only question number 24, so we are solving accordingly…

Q: tan(5. x) dy dx Y = Find dy da = Type sin(x) for sin(x), cos(x) for cos(x), and so on. Use x^2 to…

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Q: Find the limit. If you use L'Hopitals Rule, make sure to justify why you can use it. f(x) 40 g(x)…

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