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A: To find the maxima, minima, and saddle point for the given functions.

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A: Use derivative of function and length of curve formula .

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Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1

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Q: 2) Choose one of the following options, which interprets best the area under f(x) on the interval 12…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (6, –5) + t(1,…

A: we can solve this as follows:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 4x(1 – x²)dx = i -1

A: To find the value of given integral.

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 27) (3 -) v = O parallel O…

A: u=2,27 v=32,-19

Q: Astivity 3 tind the dertve of 2メー3 う×ース enuing the definitiom -

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Q: lim2

A: Explained below

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Q: e* +e* -x? -2 1) Lim sin² x – x²

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Q: Solve the problem below. Be sure to show all calcula- tions. Explanations given to justify your…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (13, 14, –12) Vw(13, 14,…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 2 2x - 10y – 2z =…

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Q: y=Cx^2 and y=lnx find C where the graphs are tangent to each other

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Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A: Given:     ∫-4432-x2-x2dx Here the integrand is the difference between the two functions. The two…

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Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1 O a. y (2y-3x) = 3x? O…

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Q: Find the area of the curve r²=16cos(theta)

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Project 8. Estimating Time of Death.  The purpose of this project is to practice reading a…

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Q: The area of the shaded region is . (Type an exact answer, using x as needed. nd the area of the…

A: Given region is bounded by two curves y= 22 and y=2 sec(θ) tan(θ)  for θ∈-π4, π4

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Q: sinx Cosxdx

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Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: Consider the following. x +3 2-x- 12 f(x) = Find the x-value (if any) at which fis not continuous.…

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Q: For what values of k does the following system has a solution? x – 3y = 6 - x + 3z = -3 2.x + ky +…

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Q: (d) Determine the probabilities of the following events: E1, E2, E3 E1 O E2 E1 U E2, and E2

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

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Q: The graph shows the rate of change of the revenue of a company from 2000 through 2015. dR dt 50 -…

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