1. y = x³ (sin(lnx) - cos(lnx)) 2. y = ln 1+sinx 1–sinx (use properties of logarithms)

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Q: a. In 25-In 64 +In 27 3

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Q: What is critical point??

A: Critical point:- A continuous function's critical point f, is when the derivative is 0 or…

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Q: 64. Consider the length h of the perpendicular from point B to side b in the given triangle. Show…

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Q: Problem

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Q: Compute gxxyz for g(x, y, z) = x²y³ z³. (Use symbolic notation and fractions where needed.) gxxyz =

A: We will derivative the function twice with respect to x and than y and than z as follows.

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Q: 19. The graph of f is shown to the right. For which value of x is f'(x) the smallest? [A] x=6 [B]…

A: given graph of f(x)

Q: Use the Chain Rule to compute the partial derivative. ə -In (6u² + uv) = 0 du

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A: Let f and g be functions with domains A and B. To find the domains of the following: f+g, f-g, fg,…

Q: c) Prove that if a is an integer, then a² + a is even. [Hint: Use proof by cases.]

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Q: Find the centroid of the thin plate bounded above by g(x) = x² and below by f(x) = x + 6.

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Q: Solve the ff. first order DE using Separation of Variables 2 a. xy¹dx + e*dy = 0

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Q: Find the gradient of the function at the given point. w = x tan(y + 2), (13, 11, -7) Vw(13, 11, -7)=

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Q: Use the intermediate value theorem to show that the polynomial has a real zero between the given…

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Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

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Q: [csc x]=-csc x cot x by using the relationship of CSC X=

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Q: For what value of p does the sum of roots of the equation 6x² - 3px + 5 = 0 equal the product of…

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Q: 1) Consider the function f (x) = 2x³ - 3x² Fill in each blank with the correct numerical answer. a)…

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Q: Find Duf at P. ƒ(x, y, z) = 6x³y³z³; P(2, -1, 1); u = zi+zi-k Duf = p. बॉल

A: We have to find the directional derivative.

Q: A national census bureau predicts that a certain population will increase from 31.7 million in 2000…

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Q: 10 -5 10 -5 Ау -5 OK EL X 10

A: Let's find asymptotes and domains.

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A: We need to set up integral.

Q: . Determine an equation of the tangent line to the function y=lnx at x = e². Sketch a graph of the…

A: Explanation of the answer is as follows

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Q: DIRECTIONS. Indicate the degree and determine the solution of the following equations. Homogeneous…

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Q: The two open disks B((1, 2); 2) and B((-2, 1); 2) has intersection. True False

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) 5.…

A: The given equation is; 6y2dx - x(2x3+y)dy=0.

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Q: Determine the orthogonal trajectories of the one-parameter family of lines y - Cx = 0. A. x2 + y2 =…

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Q: The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change…

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Q: The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change…

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Q: I Find the equations of tangent and normal lines of the curves at given points: a. y²-3xy-x¹ = 0…

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Q: 1. Find all roots: f(x)=x²-x+4

A: Dear student , as per bartleby policy we are allow to solve one doubt at a time. Kindly repost other…

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A: We need to solve D.E. NOTE- As per Bartleby guidelines we can solve one question. Please upload…

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Q: Find an equation of the tangent line to the graph of the function f defined by the following…

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