1 a. (x + 1) dx = 35 2 b.7 27 - C. 2 d. -17.5 1/0

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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: Question 1 described by the vector function r(t) = (4t² ln t, t-4 29 -2e-³t). a) Find the integral…

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A: To find the value of y' for the given function.

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A: Side of cube is increased from 5 to 5.2

Q: Question 35 If z = x arctan 0 - 4 OFF O undefined ◄ Previous (²).find əz əx at x = 0, y = 1, z = 1.

A: To find the partial derivative of z with respect to x.

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Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C O None of the choices O cos¹ (2x)…

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Q: he domain of the fur

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A: L1 : x=a1+b1t , y =c1+d1t , z=e1+f1tL2 : x=a2+b2s, y =c2+d2s , z=e2+f2sthen Lines L1 and L2 are…

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A: According to question,Given Integral,Let I = ∫7 sin27x dx

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

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A: See this solution in below

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A: We need to find values of function.

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Q: or the function f(x)=sin(x), write Newton's formula as xn+1=F(xn)=xn−[f(xn)f'(xn)] for solving…

A: The given function is f(x)=sin(x) We need to solve for, f(x)=0 using Newton's formula:…

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A: W need to estimate slope.

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…

A: To find out the value of a as f(x) is continuous at 2.

Q: z = √xy, dz dt t², y = -t² then 2 2 2t²) =?

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

Q: Question af If f(x, y) = xy² - x ln(y) find Ət if x(t, s) = s² - st³ and y(t, s) = e-st²

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Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, x3. f(x) = x² - 13, xo = 4…

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

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Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm. By the…

A: The radius of a circular disk is measured as 24cm with a maximum error of 0.2 cm.

Q: f(x) = x²-3x + 7 concave upward concave downward X X

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

A: Suppose that x=c is a critical point of fx then, If f 'x&gt;0 to the left of x=c and f 'x&lt;0 to…

Q: Approximate the value of 22.5 O4 + 4 In(2) O4+2 In(2) O 6 O 4 +0.5 In(4)

A: The objective of the question is determine the approximate value of the given value.

Q: If f(x) is a differentiable function then f'(a) is given by which of the following? f(x) = f(a) I.…

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Q: State the domain of each function below in interval notation. 3x a. q(x) = 39 x+9 b. p(x) = 3x³x² +…

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Q: The figure has a tangent line drawn at a labeled point. c(t) thousand chips 8 6 4 2 (1.95, 7.07 0.5…

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Q: 3. (y + ²+ ) dx + (x + xy²)dy = 0 3 2

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Q: Question 2 [ Given the function xye* f(x, y) = 2x³ +50y² a) Find the domain of f. b) Find exist. lim…

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

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Q: C What is f" (x) of f(x) = x Arc sin(x) + √1 − x²? Arc sin(x) 2 √1-2² √1-7² ◄ Previous + Arc sin(x)

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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: f(x, y) = ln (2x) In (3y) + x - y - xy +3, then fxy(2, 2) is equal to Select one: 0 -2 None of them…

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Q: Find lim PHEL x² + 100-10

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

A: We can solve this as follows:

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

A: A solid object have same shape on x-y, y-z and x-z view.

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: π/2 0 /1-cos2xdx

A: solution:-∫0π21-cos2xdxwe know that cos2x-sin2x=cos2x1-sin2x-sin2x=cos2x1-cos2x=2sin2x

Q: given z=xlny-((2^x)/y)+ysinhsqrtx, find (∂^4)z/∂x∂y∂x∂y

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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: Explain why A -[-8=2] and 18 B 6 form a linearly dependent set o (Solve this problem by inspectic A…

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

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

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