Evaluate lo Vf. dr, where f(x, y) = x² ln(y) and C is any curve from (8, 1) to (13, e).

Q: Use polar coordinates to set up and evaluate the double integral JJ f(x, y) = 5arctan, R: x² + y²…

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Q: Perform the subtraction. E4816-C8416 E4816-C841616 (Simplify your answer.)

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Q: 1. | xe3xdx

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Q: An engineer is building experimental, dome-shaped living quarters 33 m high and modeled by the…

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Q: (b) Where is the function f(x) = x¹e* a maximum?

A: Let's find maximum value of function and at which value of x.

Q: 9. lim 818 4x + 3 5x − 1

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

Q: 5. Determine the location and value of the absolute extreme values of f on the given interval, if…

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Q: Problem 5. they all start at n = 1. List the first six terms of the sequence given by the formula.…

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Q: solution to evaluate 3 2+1 y-1 ГГГ x + y2 dx dy dz ? Z 3 4 Ⓒ √ ²² - ² - ² + + 2+1 A 6 2 2 В 3 o fl с…

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Q: Solve the following differential equation: [e2y − y cos(xy)]dx + [2xe2y − x cos(xy) + 2y]dy = 0

A: e2y − y cosxydx + 2xe2y − x cosxy + 2ydy = 0

Q: S(2+ ex)²dx

A: ∫2+ex2dx

Q: above by the surface Tuery² and below bu

A: We have to find the volume by double integration according to the given information

Q: Solve the problem below. For your initial post in Brightspace, copy the description of your company…

A: We have to find the profit expression.

Q: (9) Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: intervals on which the graph of f is concave​ upward, the intervals on which the graph of f is…

A: Given query is to find concavity of the graph and inflection points.

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-7,5) for…

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Q: Sin 0=4/5 Find a g 1/5 where 40 < x 180

A: sinθ=45⇒θ=arcsin45+2πn, θ=π-arcsin45+2πn⇒θ=53.13∘ +360∘ n, θ=126.87∘ +360∘ n

Q: Replace ​? with an expression that will make the equation valid.   d/dx (3 − 4x2 ) 5= 5 (3 − 4x2 )4…

A: let y=(3-4x2)5

Q: Question One (a) Let U = 3i-j-4k and V = -2i+4j-3k. Show that U-V is commutative but U x V is not.…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: For what values of the numbers a and b does the function f(x) axebr² have the maximum value f(1) =…

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Q: If sin x = sin y = a and cos x = cos y = b, then cos (x - y) is equivalent to A. OB. C. D. b²-a² b²+…

A: Given sin(x)=sin(y)=acos(x)=cos(y)=b

Q: Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change…

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Q: Problem 3. evaluating them. (a) 1₁ 1 (x - 3)³/2 dx Determine whether each integral is convergent or…

A: Note : I think question c is incorrectly printed

Q: 6. Determine the domain and range of the vector valued fun r(t) = (In(t-2). √²) 1 t-4' fang

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Q: 16. Determine lim f(x) if the given function is x→2 f(x) = x². 8-2x, if x 2

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Q: If 0 satisfies the inequalities sin (0) > 0, sin(0) cos(0) > 0, in which quadrant must lie? 1.…

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Q: Find the first partial derivatives of the function f(x, y) = ln (x + √√x² + y² 1. fx(3, 4) = 2.…

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Q: Find the domain of the function using interval notation. f(x) = -2x (x-2)(x-7) To enter oo, type…

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Q: could you please show the solution cleaerly ?

A: Given series:- ∑n=1∞an=∑n=1∞4Pn5n

Q: Let -3 -3 -1 4 -1 -3 022 Evaluate the determinant of A using the row or column that minimizes the…

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Q: "roblem 9. True or False. Explain your choice carefully. is convergent. nv2, n = 1, 2, 3, ... is…

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Q: Let Give the 2,1 entry of 4-¹. a) 0-¹ b) 0¹/2 c) 03/2 d) 0-5 e) 0-2 f) O None of the above. 02 2 A-1…

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Q: What is the rate of change of x with respect to y when the bottom of the ladder is 4 m away from the…

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Q: Let y = 3x² + 4x + 2. Find the differential dy when x = 5 and dx Find the differential dy when x = 5…

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Q: Find the next three numbers in each sequence. Then classify the sequence as linear growth,…

A: Given , two sequences below a) 2,5,10,13,28,21,26,_,_,_ b) 3,6.5,10,13.5,17,20.5,_,_,_ we need to…

Q: Describe and sketch the following set of points defined by the following conditions. (x + 2)² + y² +…

A: Given : we have a surface     (x+2)2+y2+z-12=9 and with the conditions :   x≥-2, y≥0, z≥1    To find…

Q: State where the power series is centered. (-1)^(x-4)2n (2n)! n=0

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Q: Solve for Higher Order L.D.E

A: To solve the given higher order differential equation

Q: Let Ġ(x, y) = (x², y). Calculate the flux of G across the line segment from (0, 0) to (1, − 2).

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Q: Without evaluating integral, prove that 1 dx S 0 /2+x-x² 2 < 1 √2

A: Prove that , 23≤∫01dx2+x-x2≤12

Q: ૨ 2 (D² -2D +10) y =0

A: Solution : Given that DE is

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Q: If f(x) = (3x -5)e-2x , find f'' (x)+ 4f' (x) + 4f(x)

A: To determine the given value with derivatives and function

Q: (a) A water container, whose circular cross section is 6 ft in diameter and whose height is 8 ft, is…

A: Given:    A = area of the tank a = area of bottom hole…

Q: What is the x-coordinate of the point of intersection for the two equations shown below? ما الإحداثي…

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Q: 12 2 √x - 3 ах

A: ∫3122x-3dx

Q: Consider the following. e¹ - 4x = 3 (a) Find the exact solution of the exponential equation in terms…

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Q: Evaluate the integral below taking as the region bounded by y = x and y = x². ]] (3x (3x + 1)dxdy

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Q: Given f(x, y) = sin(x2) + xy³, find Duf(x, y) where u is in the direction of (1, 2). What is Duf(-2,…

A: To find the directional derivative of given by function

Q: A box with a volume of 8m³ is to be constructed with a gold-plated top, silver-plated bottom, and…

A: Given:         Assuming the box is a cube.         The volume of cube = side³           side3=8…