9 Evaluate f 99√x 30-x2 -x² 2 dx.

Q: Let Find fa, fay and fryz f(x, y) =In(xy)-26x¹0 y 10

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Q: 2n Consider the series ₁ (-1)" (1 + 1)². Which of the following statements is true? n=1 The series…

A: A series ∑n=1∞ an is said to Converge Absolutely if the series ∑n=1∞ an converge and Conditionally…

Q: A solid figure projects the same shape on the x-y, y-z, and x-z view. Which of the following…

A: Note that the sphere will projects circles on the xy, yz and xz view.

Q: O ди If u = f(x,y), x = g(w) and y = h(w), using Chain Rule, what is aw O ди aw ди Əw || O all of…

A: u=fx,y, x=gw and y=hw

Q: A graph of a model for the sales of services between 2004 and 2008 by a leading global provider of…

A: We have to find the solution of given question.

Q: Which of the following is the answer of x² - y² ·? lim (x,y) (5,5) 2x - 2y Select one: -5 O 5/2 05 O…

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Q: Match the functions in Column A with their corresponding antiderivatives in Column B. Column A a.…

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Q: A screen saver displays 3 cm x 5 cm and then expands it in such a way that the length of the longer…

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Q: If p = (7, 2) q = (5, -1), find p - q.       a)  p - q = (2, 1)   b)  p- q = (12,1)   c)  p - q…

A: p = (7, 2) q = (5, -1), find p - q here we have to make substraction of set here we have to…

Q: Given the matrices A = - -4 0 4 [ 5 B. If my not possible possible -2 -2 - and B -2 0 189 0 3 3 2 A.…

A:

Q: Question then the range of f is the interval [0, 12]. Select one: O True : If f(x, y) = 3√/16 - x² -…

A: This question can be solved using the concept of domain and range of multivariable function.

Q: If then fyx (1,0) = ? Select one: 0 - sin y -2 None of them 2 f(x, y) = 2x cos y,

A: The required partial derivative is evaluated below.

Q: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

A: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

Q: Given A = -1 0 22]₁ compute 3A

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Q: Explain why the vectors u₁ = (2, 4,-4) U₂ = (-4,-8, 8) form a linearly dependent set of vectors in…

A: To find the reason for the given vectors to be linearly dependent.

Q: Consider the function f(x)=5x2−9x7f Let F(x)F be the antiderivative of f(x)with F(1)=0 then f(x)

A: we have to find the function F(x) .

Q: a) b) exist f(x, y) = x²yesy 8x²+7y² Find the domain of the function f. Show that lim f(x, y) does…

A: According to question,Given Function,fx, y = x2 y e5y8x4 + 7y2

Q: Which of the following rational functions is equivalent to the partial fraction decomposition 2x 2x…

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Q: an upright cylinder with a base radius of 5cm and a height of 10cm has a possible error of 0.08cm…

A:

Q: Let z = √√√7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2. ds

A: To find out the given partial derivative.

Q: 8x³ - y³ 3 lim (z,y) (1,2) 2x - y Select one: O equals 12. O equals 0. O None of them O equals 4. O…

A: Lim(x, y) -(1,2)(8x3-y3)/(2x-y).

Q: A B O A OB D 1 4 1 4 f sec² (4t) (3 tan(4t))³ dt 1 16 (3 tan (4t))+ + C (3 - tan (4t))+ + C E None…

A: This question can be solved using the concept of integration by substitution.

Q: = 2√/16 - x² - y2, then the domain of D = {(x, y) x² + y² ≤ 16}. 2

A: We have to choose the correct option from the given options according to the given information

Q: Question Select one: equals 4. None of them does not exist. equals 12. equals 0. 8x³ - y³…

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Q: If f(x, y) = sin (xy) - yer, then f (0, 1) = -1. Select one: O True O False

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Solve this system of equations x2+2y=0 -y2+2x=0

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: √2 2 sin-¹(x)dx

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Q: If y = xcosx, what is dy if x = and dx = 0.2 ? 0-1/2 0-20 05/0 O EN T 10

A:

Q: Question 43 What is the horizontal asymptote of y= (x - 1)e-2? O y = 0 to the right O there is no…

A: topic - Horizontal asymptote of a function Line y=L is a horizontal asymptote of the function y=f(x)…

Q: Question a) b) Let f(x, y) = 2√x - y²e-2xy Find fx and fy. Evaluate fxxy(4,-1). + NIA

A: Given :fx,y=2x-y2e-2xy+2y

Q: Suppose that f is a differentiable function with f(2) = 5. If the tangent line to the graph of y =…

A:

Q: The solution of the following non exact differential equation (cos x) dx + (1+² sin x)dy = 0 is:…

A: The given differential equation is;  Cosx dx +(1+2/y Sinx) dy=0

Q: Let f(x) = x³ + √√. Then f'(1) = 02 O 1.5 O 3.5 04

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Q: What is the value of k so that the function f(x) is continuous at x=2 O-3 O - 3/2 1/2 0 1 T-2k f(x)…

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Q: For the limit, sin(x² - y²) x² - y² if we approach along y-axis, we will get 0. Select one: O True O…

A: We know :- If we approach along y axis the x=0

Q: Evaluate: lim 8118 x6x² + x²-1 8x6 + 4x³ + 10

A: see below the calculation and answer

Q: Let A = A(r) give the area of a circle of radius r. The instantaneous rate of change of the area as…

A:

Q: Question 24 Which of the following statements is true about critical points? O It is a point in the…

A: We have to choose correct option for given question.

Q: r(t) = (−2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 Cos cos 4 where C is a…

A: Given:    rt=-2cos2t,3sin3t,ln2t then  ∫rt dt =∫-2cos2t,3sin3t,ln2tdt…

Q: d ng ar k thi A 4 C A Choose 1 answer: Find sin(ZABC +60°). B 2 5 - 3 10 3 3 + 5 10 5 √3 √3 B

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Q: A B - f sin(1-x) (2 cos(1-x))4 dx (2-sin(1-x)5+C 5 (2-cos(1-x)5+C 5 O A OB O O D OE None of the…

A:

Q: lim t→∞ 14/3 + 71/3 2 (6+²/3 +11) ²

A: To find out the limit.

Q: If the equation z=squarerootx^2+y^2 equals the spherical equation phi=c, what is the angle of…

A: The given problem is solved below in detail.

Q: 2 Evaluate f 9t2 (t³+1)ž Answer: 3 dt.

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Q: (a) lim tan coth an [ coth()] -0+I

A: Solution is given below:

Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east…

A: Using the Pythagoras theorem for the figure: Let, z be the distance between two vehicles. We have:…

Q: The annual number of passengers going through Hartsfield-Jackson Atlanta International Airport…

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Q: - 2. (x²y² + xy + 1)ydx + (x²y² − xy +1)x dy = 0

A: