Direction: Find the equation of the tangent line to the function at x=a. 1. у %3D Зх-1 at x = 9 x+2 Vx+2 at x = 3 x+2 2. у 3

Q: Let f = zy + yx, v = [y, z, 4z - x], w Find - [vª, zª, x®]. (a) grad f and f grad f at (3, 4, 0) (b)…

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Q: - g(4)= <F 1 • g(x)= x² +. 5

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Q: A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of…

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Q: Q1; Find Taylor series of the function f(x) = Vx at a = 36. ( piul) %3D

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Q: PROBLEM 2.2 Solve the system of ODEs for t = [0,50] with I.C.: x(0) = -8, y(0) = 8,z(0) = 27. x' (t)…

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Q: 1 E = 4. UA (10-3) 2(1+v) k UE

A: Just shift epsilon to right side and (1+v) to left side.

Q: Q/ Find the equation of the tangent to the test subject y = Vsin 4x, %3D and passes through the…

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Q: Vz²+1 ev° dy In a

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Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: b. y sin x at x = ЗП 4

A: To write the equation of the tangent line.

Q: Find an equation of the tangent line to the curve at the given point. у 3 бx2 - х3, (1, 5)…

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Q: Find an equation for the tangent to the curve at the given point. y=x2-x. (-3,12)

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Q: 9x= (Jx+ x) (+xt) %3D

A: Given  g(x)=x+x2x3+x+2 To take derivative of g(x), we apply product rule (uv)'=u'v+v'u…

Q: State the rule that has to be applied first in order to differentiation the function y = -5te2t. a.…

A: We have a function y = -5te2t . Now we need to find which rule needs to be applied first to…

Q: a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t,…

A: Given, a projectile launched at t = 0 second that follows a path x=30t, y=-5t^2+80t where x…

Q: find the equation of Clarence as a function of t Result of ecuation= T^2/W W and H = Constant.

A: Given below explanation

Q: дz дz Use implicit differentiation to find and Әх ду əz Әх дz = x2 + 2у² + 5z² = 6

A: Let f(x,y,z) be a function of x,y and z. Also the dependent variable z=z(x,y) is a function of two…

Q: The tangent line to f(x) = x² at x = –3.

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Q: The displacement of a particle is given by s = 3t³ - 45t² +99t-65 where s is in feet and t is in…

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