a. lim x3 2x - 6 4x²36 2x²-x-6 x2 3x² - 7x + 2 b. lim x-5 x+5 Vx-1-2 c. lim

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Q: So 1 er+e0.5a ex dx

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A: given csch x=395we know 1+csch2 x=coth2 x

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Q: can you solve g, h, and j too please?

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Q: Find the inverses of the matrices in Exercises 29-32, if they exist. Use the algorithm introduced in…

A: (29)  A=1247if  A=abcdthan A-1=1ad-bcd-b-ca

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A: to find derivatives

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Q: Find the mass of the rectangular prism 0<x<1, 0<y<4, 0<z<2, with density function ρ(x,y,z) = x

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Q: Use the chain rule to find and, where First the pieces: дz dr dr მs ду მა || 11 11 9- = 94 And…

A: z=x2+xy+y2x=4s+4ty=8s+7t∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0

Q: √3 S 0 x√1+x² dx.

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: C(x)=6x-75x+1(a) aversge cost(C¯(x))=C(x)x

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Q: Draw a graph of f(x) = additional point on the graph. 1 1 -5 -4 -3 -2 -1 4 3 2 H -1 -2 -3 -4 -2x -…

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Q: Question: True or False: To evaluate the integral 1 9-² Select one: O True O False -dx, we use…

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Q: 2. Let D be an open, connected but not simply-connected subset of R2. Give an example of vector…

A: The answer provided below has been developed in a clear step by step manner

Q: The surface defined by represents y² + 3z² - x = -3 a. a cone with axis parallel to the z-axis O b.…

A: Please see the below picture for detailed solution.

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Q: Consider the graph of a function f on the interval [0,4]. y 10 8- 6+ 4 2 0 1 2 3 4 -X. Identify all…

A: 1) It is given that the graph of the function f on the interval 0,4. It is known that x=c is a…

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Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

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Q: A quadrilateral has vertices A(−3, 1), B(1, 8), C(6, 7), and D(5, 2). Which kind of quadrilateral is…

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Q: Differentiate the function f. f(x)=-3x - 5 F'(x) = Graph y = f(x) and y = f'(x) on the same set of…

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Q: - Find f(a), f(a + h), and the difference quotient f(a+h) – f(a), where h ± 0. h f(x) = 5x X-9

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Q: Show mathematical methods covered in this course to support your answers. -b± √b²-4ac 2a You may…

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Q: 1. Find the linearization of f(x) = (x³ + 1)¹/² at x = 2 and use this to estimate f(2.05).

A: Please see the below picture for detailed solution.

Q: Use the four-step definition of the derivative to find f'(z) if f(x) = 91²-31 - 20. You may have to…

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Q: You are standing above the point (2, 2) on the surface z = 15 - (3x² + 2y²). (a) In which direction…

A: Please see the below picture for detailed solution.

Q: Is it possible to answer this using factoring, conjugate or any alternative methods? If so, could…

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Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

A: Given: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing…

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Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

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Q: Let f(x, y) = 2x2-3y² -x+y+1, find the maximum and minimum values of f(x, y) over the triangle with…

A: The given function is:f(x,y)=2x2-3y2-x+y+1

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A: Given query is to find the equation of the lines