What is the slope of the tangent line to the graph of x^2 - xy + 3y^2 -2x + 4y = 17 at (5,1)

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A: According to question,Given Data,xt = t2 + 2e-2t + sin 3t ut

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A: Domain:- The set of all those points (x,y)  such that the function at those points exists.Range:-…

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Q: A B O A OB O OD 1 13 (sin(3z))¹⁰ + C 1 33 ſ cos(3z)sin¹⁰(3z) dz 1 3 (cos (3z))¹¹ + C F None of the…

A: Here we have to find the integral.

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Q: Find the following Wronskian: W(4, 3t, e-³¹, te-³1) O-972e-6t 0-972e6t 6 972e6t O 972e-6t 00 O-6

A: We can find the Wronskian .

Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

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A: The answer is option D

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 +6, (3, 1) Vf(3, 1) = 2i+…

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Q: The limit lim (x,y) →(-2,-5) exists and is equal to -20. Select one: O True O False 25x²-4y² 5x-2y

A: The objective of the question is determine the limit existing.

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A: use the limit formula for integration

Q: 1) Evaluate the integrals: (a) f sin³ (2x) cos (2x) dx (b) sin³ (2x) cos (2x) dx

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Q: Question a) b) Let f(x, y) = 2√x - y²e-²xy + ²². Find fx and fy. Evaluate fxxy(4,-1).

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Q: √x +3 If f(x, y) = xy +7 the domain of f(x, y). Select one: True O False then the point (1, −7) is…

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Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

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Q: Find the gradient of the function at the given point w = x tan(y + z), (7, 15, -5) Vw(7, 15, -5) =

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Q: z = (x + y)², x = s²t, y = st². Use the Chain rule to find dz ds for t= 1 and s = 2.

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Q: 4. fx(2x - 1)'dx

A: This is a problem related to integration. Please find the general procedure given below. As per the…

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A: Here, the given functions are: z=x-2y,x=2t, y=5t⇒z=(2t)-2(5t)⇒z=2t-10t⇒z=-8t

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A: Use the function value to evaluate which one is false

Q: The domain of the following function: is: f(x, y) = Select one: O A. D= {(x,y) y ≤7-3x} O B. D= {(x,…

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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: 9. The equation of the graph of the shaded region below is most likely to be Im A. |z − 4 + i| ≥ 2√3…

A: The objective of the question is choose the correct option for the region.

Q: Which of the following is the partial derivative with respect to x of the function f(x, y)= 4xy + 7x…

A: Given problem:- f(x, y) =4xy+7x+6y-ln(9xy)   To find :- fx(x, y)

Q: Find the radius of convergence, R, of the series. Σ n = 1 R = | 1 Ο μ 2 5 8.. · (3η – 1) Κ Find the…

A: The solution is given below

Q: ax+2, x≤2 f(x)=4-x². 2<x<3 2x+b. 3 < x Find the value of a so that f(x) is continuous at 2. Find the…

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Q: f(x, y) = 6√x - y'e a) b) -3xy + Find f and fy. Evaluate fazy (4,-1).

A: Given f(x,y) =6x -y2 e-3xy+3y

Q: Let f(x, y) = 2x² + 2y² - 4y + 9. Then the level curve f(x, y) = 3 is a: Circle with center (1, 0)…

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Q: Find f" (x), given f(x) = sec x. O f" (x) = sec³ x tan x Of" (x) = sec a tanz Of" (x) = sec³ x + sec…

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Q: x³ - 2x + 3 lim x++∞ 64x² – 3x³

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Q: Question 1 function r(t) = (tª In 1, ¹2³, −3e¯³¹). a) Find the integral r(t)dt. b) Find parametric…

A: Here, r(t)=t4ln t, t-32,-3e-3t

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Q: x-1 lim x+2+ x - 2 does not exist O +∞ 01 O -∞

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Q: y-values 9: 8 7 6- 5 4 3- 2- 1 g(x) f'(1) = 1 If f(x) = g(h(x)), then --1/32 2 3 x-values Submit…

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Q: The following limit lim Select one: None of them O does not exist. equals 0. equals 1/3 O equals 1…

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Q: swer of the following lim 2x²+6y² lim (x,y)→(0,0) x²+y²

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Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

A: Let's solve.

Q: Relative to an origin O. the points A. B. C have position vectors i. J+k. i+j+0k. respectively. The…

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