Please show all workings in each question neatly and in detail. 1. Evaluate the following indefinite integrals: (ii) [(In x)²dx Sa csc 2x 1 -dx cot 2x

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Q: Determine if the improper integral converges or diverges. 6- sin p 62 converges Odiverges do

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Q: 2. Circle the function if it is exponential, or if it is a transformation of an exponential…

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Q: (e) Finally, consider f along rays emanating from the origin. Note that these are given by y = mx,…

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Q: 3.) Using the Graphing method, find the limit. When necessary, state that the limit does not exist.…

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Q: Write a in the form a=a+T+aNN at the given value of t without finding T and N. r(t) @ = (?)i + (x +…

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Q: Evaluate the integral. 6 t² sin(2t) dt

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Q: Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), A = {1, 4, 7, 10, 13), B = {1, 2, 3,…

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Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {6,…

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Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

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Q: Match the equation with its graph. x² + 4y² + 9z² = 1 XA x Z N ZA

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Q: Decide which of the following are true. Choose all that apply. Review intersections and unions here.…

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Q: Find the following limits: 1 1 5+x 5 x a. lim: x-0 b. x²+1 lim x-1- |x-1| C. -2x lim x +∞ √9x²-3

A: See this solution in below.

Q: Shade a Venn diagram to represent (AUC) nB'. I C IV b Review shading Venn diagrams here. 01 O II III…

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Q: (a) Find the general solution of dy/dx = 8x³-4x+1. (b) Determine the particular solution such that…

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Q: Due to economic and political implications, the value of the purchasing power of a thousand-peso…

A: Value decreased by 8% let  A0=Initial value = 100A = final value = 20   Every year value decreased…

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Q: How to know if an equation is a solution to a first order differential equation? Please give clear…

A: To explain how an equation is a solution to a first order differential equation.To use the following…

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Q: 20.) Differentiate. f(x) = +3 -2

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Q: Find an equation of the plane. The plane through the point (7, 0, 3) and perpendicular to the line…

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Q: 3) Use the appropriate integral formula for the length of a curve represented by a function y = f(x)…

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Q: 1. A carpenter can construct book cases at a cost of P400 each. If the carpenter sells the book…

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A: Given curve, y=24x2-45x

Q: Use the tabular method and the properties of limit to find the limit X 1 1) lim 2 3 X-0 ()

A: limx→02{13)x =2 since,  limit f(x)= L exists. By Tabular method property  -- limit f(x) exist and is…

Q: ONLY parts L, M, and N please show all work

A: Given Figure:

Q: 10) A semicircle of radius 2r is inscribed in a rectangle so that the diameter of the semicircle is…

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Q: Solve for the complete solution of the differential equation: 1. What is y(3)? y"+y' 2y = 0; y(0) =…

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: (a) 3f(x) Derivative of given combination  3f'(x) at x=2 3f'(2) = 3*17=37

Q: Let F(x, y) = 1 + √√1 − y². 1. Evaluate F(3, 1). Answer: F(3, 1) = 1 2. What is the range of F(x,…

A: Let's solve for function value at given point and its range.

Q: Given f(x, y, z) = xyz, find fyxy

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Q: Given f(x, y, z) = xyz, find fyyx

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Q: K Use the following formula. nt A = P + C Suppose that you drive 50,000 miles per year and gas…

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Q: Draw the region of integration and reverse the order of integration to So evaluate the integral. 0 1…

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Q: Given set A = {1, 2, 3, 4, 5, 6, 7, 8, 9) and set B = {1,4, 9, 16, 25), what is AUB? Review the…

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Q: Solve (a) A x+2y-4 y-2x+3' (6) > c-y-1-

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Q: Check whether each differential equation has the indicated solution. Determine which solutions are…

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Q: Precalculus   Find an equation of the circle with center (2, 5) that passes through (−3, 1).

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Q: Find by implicit differentiation. dy dx dy = dx Vxy = x y + 38

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Q: -23+-13

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Q: In Exercises 9 and 10, use the graph to find (i) lim_f(x), (ii) lim f(x), (iii) lim f(x), and (iv)…

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Q: f(x)=5sin(2x) - 2x² - 4x Find the maximum or the minimum of the function using newton's method of…

A: Newton's method of optimization is the general method for finding the minima or maxima of the given…