√2 2 sin-¹(x)dx

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

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Q: If f(x, y) = ln (xy) — 5 sin y, then ƒx(1, ´) = T Select one: True O False

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Q: Find the derivative of the function. 1 + 20 20 20) (2-0) dr OA. de OB. dr de dr OC. de O D. dr ᏧᎾ 11…

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Q: f(x, y) = Find fx, fxy, and fxyx. 7 8x+5 + 8x³ e-8y

A: The given function is;  f(x,y)=7/(8x+5) +8x3/e-8y.

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

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Q: Solving the following secondary order differential equation: d²x dx dt² 3. +2x = 5e-³t dt

A: Solve differential equation

Q: 12. Show that the general linear demand function D(p) = a - bp, where a and b are positive real…

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Q: ات, 01 +19+₂1 x+₂²0 +19+₂. 1. Evaluate

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Q: Let 2 = (y - 2x) ³, where x = s²t and y = st². Use the Chain Rule to find when s = 2 and t = -1. Əz…

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Q: (2x²-10a+15) da Integrate: f gở ba tô 2x+3 ln()+ +C n(²²³)+c +C 3 In O2a +3 ln()+ ○ 3 ln() + C o +C

A: We have to integrate ∫2x2-10x+15x2-5x+6 dx.

Q: In(t³ r(t) = 4 lu(t²+1); - (4e-2 - 5e"); _ sin³t 5e²t)j -k, + 1 t3 then the limit lim r(t) equals…

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Q: For the limit, lim (x,y)→(0,0) sin(x² - y²) x² - y² if we approach along y-axis, we will get 1.…

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Q: The limit lim (x,y)→(-1,2) (x²y − 3xy²) = −8 - Select one: True False

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Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

A: This question can be solved using the concept of horizontal and vertical asymptote of rational…

Q: Find concave upward and concave downward of 6x^2-x^3

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Q: Part c: ( 1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1, -1). 2.…

A: We have to find the gradient and directional derivative.

Q: Find a set of parametric equations of a circle centered at (2,3) with a radius 2 generated clockwise

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Q: Region A is bounded by the parabola x = y², the line y = 1, and the y-axis. Region B is bounded by…

A: As per the instruction, we will be answering the first question. Given: We need to find the volume…

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

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Q: Evaluate: 0 tan¯¹ (0) do

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Q: 15 0 2) is an eigenvector of the matrix 25 -12 -6 A = 60 -31 -15 -36 22 10 associated with the…

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

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Q: What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³

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Q: Find a parametric description of the line segment from the point P to the point Q. P(0,0), Q(22,-26)…

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Q: 3. You are in a boat 2 miles from the nearest point on the coast. You are to go to point 2. → down…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Evaluate the limit: lim, ∞ ○-6 00 ○ 6 e 10-00 최승

A: This question can be solved using the concept of L hopital's rule.

Q: If f(x, y) = 2√√x² + y2 - 16, then the domain of f is the set D = {(x, y) x² + y² ≤ 16}. Select one:…

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Q: Question a) b) 2xy Consider the function f(x, y) = 4x²+5²- Find the domain of f. Show that the limit…

A: To find out the domain

Q: Choose the correct answer for the following function: f(x, y) = cos(2x²y³) Select one: None of the…

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Q: The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and…

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

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Q: For the piecewise defined function None of these 2 what should be the value of c so that we have…

A: In this question we have to find the value of c so that f(x) is left continuous at x=1

Q: a b) exist. x² yesy 8x4+7y² Find the domain of the function f. f(x, y) = Show that lim f(x, y) does…

A: The given function,  fx,y=x2ye5y8x4+7y2

Q: converge

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Q: b) Evaluate lim X-8 In(5x) In(2x-4)

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Q: Find the limit of the following sequence or determine that the sequence diverges. 2n² 1 6n² + 1 -…

A: Solve the following

Q: Work problem 2 (1 Let w(x, y) = 5x - 5y - x² + 5y³, x = cos(t) and y = -sin(3s). Use chain rule to…

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Q: Find a point on the ellipsoid x² + 4y² + z² = 30 where the tangent plane is perpendicular to the…

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Q: Question 11 Find dy/dx of y = log₂ (x log5 x) In a alna ln 2 O y =

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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: he domain of the fur

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Q: Determine the volume of the solid generated in the first quadrant when the plane region bounded y² =…

A: Given :y2=4xy=2x-4Revolutation at x=0

Q: If then fyy = Select one: O True O False f(x, y) = 2(x² + x) (x - y)³ x² + y x - y

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Q: The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights…

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Q: Find the angle of inclination of the tangent plane to the surface at the given point. (Round your…

A: Find the angle of incidence of the tangent plane to the surface of the given point.

Q: Question 12 Find the 2nd derivative (y") of y=√x ln x In 2

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Q: The differential equation dy 6x + 2 da 12y² + 14y + 5 Find such a solution and then give the related…

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Q: 97. Σ n=1 1 2n(n + 1)

A: The given series,     ∑n=1∞12nn+1

Q: Evaluate: 0 tan-¹ (0) de Ô arctan(9)–0 2 arctang+ -arctan0+C 0—arctan(0) +C

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Q: If f'(1) = 4, f(1) = 2, and g(x) = f(x) tan-¹x, what is the slope of the tangent line to the curve y…

A: Here we have to find the slope of the tangent line.