Determine the work done by the force F"(x,y,z)=(x²y,xy). to move a particle along the line segment joining the point (0,0) to the point (4,2).

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A: I have stated the used formulas in the solution

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Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

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Q: on) solve the Differential en by using vanation of parameters - 24 (+12 yll -24¹ +y₁

A: Please see the below picture for detailed solution.

Q: 18 2 6x dx using n = 2, 4, and 8 subintervals 2

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Q: 8. x(x² + 1)y' + 2y = (x² + 1)³

A: Given problem:- xx2+1y'+2y=x2+13

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Q: What is the difference between net area and total area from the curve to the x axis? What is the…

A: answer is in next step. please give a like!!

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Q: v=√ √31-3j w=i-j gle between v and w; (c) state whether the vectors (a) v-w= (Simplify your answer.…

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Q: e interval [-20, 16]. such as inflection points in ascending order, i.e. smallest x values first. Is…

A: We will find the required.

Q: ["[" f(2,3) dy dr True False [1 f(x, y) de dy

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Q: te the line integral c 3 == 1 from A=(2, 0) to (0, -1) Jax + 2xyay where is the arc on the ellipse

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Q: Tutorial Exercise Find the limit, if it exists. lim (8+2) Step 1 Recall from Theorem 3.10 that if r…

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Q: Use a graphing utility to graph the function. f(x) 8x| x+6 10- 10 10 f f Je wee 10 10 10 Find the…

A: We need to find the graph and horizontal asymptotes of the function.

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Q: them, it exists. 7x² + x 4x² + 6x² + x Ilm

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Q: 8 U 1.5 -1.5 e dx

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Q: Question 1 Evaluate the integral and choose the correct answer. e ln x fethe 01+e O dx 2 01-e A…

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Q: Determine whether the infinite geometric series converges or diverges. If it converges, find its…

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Q: Which of the following polynomial functions might have the graph shown in the illustration below? y

A: NOTE: Refresh your page if you can't see any equations. .

Q: For Questions 1-3, use the differential equation given by y = x, y dy xy dx y > 0. 3. Find the…

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Q: If we apply Rolle's Theorem to the function f(x) = 2x² - 8x - 1 on the interval [0, 4], how many…

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Q: Let f be the function given by f(x) = 4x¹. What is the approximation for f(1.15) found by using the…

A: The answer is given below:

Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

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Q: Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented…

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Q: help

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Q: For the cost function C(x) = 2950 +670 +0.8x2 and the demand function p(x) = 2010, find the…

A: Given: Cost Function C(x) = 2950 + 670x + 0.8x2 Demand Function p(x) = 2010 Find the production…

Q: A 350-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: Given Number of Units: 350  Daily Room Rent: $94  Rent after increasing x dollars: 94 + x  Units…

Q: B- Let r(t) = (²+2) i + (3t) j .Find (t) such that r(t) parallel to r'(t).

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Q: 7. y' = csc x - y cotx

A: The given differential equation is; y'=cscx - y cotx.

Q: A. Show that f(x, y) = (x-1)(y-2) (x-1)²+(y-2)² 7 (x, y) = (1,2) (x, y) = (1,2) at (1,2). 1 is…

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Q: π Consider T3 (x), the 3rd degree Taylor polynomial of f(x) = cos(x) centered at a = 4 Use the…

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Q: Consider the function f(x) = 10√√+ 6 on the interval [4, 5]. (A) Find the average or mean slope of…

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Q: 3-20 Use the Ratio Test to determine whether the series is convergent or divergent. 16. Σ n= (2n)!…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: Use the trapezoidal rule with n = 5to estimate √√√7+y³dy

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Q: 11 Let f(x) = 7x-6 +2 Find the open intervals on which f is concave up (down). Then determine the…

A: Solved below.

Q: Find the exact sum of the following series 8 (0.25)" (0.25)³ (-1)-1. n n=3 (0.25)4 4 + (0.25)5

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Q: Find the characteristic equation for the matrix 2 (13). and use it to compute M-¹. M

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Q: The function f(x) = 3 + 7x + 63x- -1 This function has a local maximum at x = with value and a local…

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Q: 10. For the position function s = 313-712-2t,t> 0, choose the correct answer for t=2. a) Is s…

A: Question - For the position function s = 3t3 - 7t2 - 2t ;  t > 0  choose the correct answer for…

Q: simplify the function before differentiating f(x)= 1/square root e exponent 9x

A: Topic = Differentiate

Q: Use right hand rule to find area under the curve   f(x)= x2-x on interval [1,3]

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