23. Let D denote the region of the plane between the circles x² + y² = 1 and a² + y² = 4, and above the line x = y. Compute xy dA.

Q: Suppose that the function fis defined for all real numbers as follows. -10+xif -4<x<4 x24 √(x) =…

A: Drawing the graph of the function for

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Q: what the local max and local min of this function. justify awnser with IROC

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Q: 3-4. Consider the linear system x + y = z = 10 -x + y - 11z = 2 2x + 4y + (8 + a)z = 50 (a) Find the…

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Q: 1.3 Question 1 Differentiate each of the following functions using the Product, Quotient or Chain…

A: Note: I am using product rules for differentiating each function as asked.

Q: 2x-8 If f(x) = and f(-2) = what is the value of B?

A: A function with one unknown (B) and the value of the function at (-2).

Q: Given that B = M-¹AM, check whether B is similar to A and C. -2 A = (²₁2); M = ( 1); C = ( 2² -15) 0…

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Q: The table shows the number of cars and trucks that used a certain toll road on a particular day. The…

A: Probability of any event P =( No of outcomes favourable to the event)/(Total no of events)

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A:

Q: -8 1 −1 (63) −1 2 ?

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3.) Find the area of the region bounded by the graphs of y = x - 1, y = -x + 3, and x = -1.

A: Region bounded by the graphs ofy=x−1,y=−x+3, and x=−1.

Q: 4. cos x + 1 + sin x dy dx = 0

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Q: Use undetermined coefficients to find the particular solution to y"+9y+20y = e¯³(-47 — 60x) - Yp(x)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Calculate the integral approximation Se for 56= = c1 √² 3-² dir. S

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Q: Find the volume of the solid generated by revolving the region bounded by y = 4√x and the lines y =…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Evaluate the following limits (a) limx→+4-4 t-9 (b) limn→9 √√t-3 x²-16 √x+4-1 (c) limx→-3 x+3

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Q: Compute the indefinite integral S 2dx x(lnx)2 ab sin (a) 2dx S x (In x)² 8 f дг 8 E ESH

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Q: If lnx = 700, find x.

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Q: Sketch the region enclosed by the curves y = sin(x), y = csc²(x), x = A and x = 3π 37, and compute…

A: Sketch the region enclosed by the curves y= sin(x), y= cosec2(x),  and compute its area.

Q: If u = -4 then uu" = = -1 5 - 1888 1-1 and uTu=

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Q: Determine and state whether each of the following sequences converges or diverges, justifying the…

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Q: Calculate the integral approximations Ãâ and M² for ſå å³ dx. Your answers must be accurate to 8…

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Q: 1) Find the derivatives of the following functions: a) x³e b) sin(x³ + 2x) I c) 1+x²

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Q: What is the annual rate of interest if P 265.00 is earned in four months on an investment of P…

A: To find the annual rate of interest if P 265.00 is earned in four monthson an investment of P…

Q: By Apoint P(4,4) is in (XJ) coordinate (1) Express this point in form of polar coordinate (V, 0)…

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Q: Consider the two lines in R³: r₁(t) = (0,-1,-1) +t(4,2,0) and r₂ (s) = (7,-7,4) + s(1, 1,4). Find a…

A: The two lines in R3:

Q: Which of the series α) x − x³ + x6 − x¹0 + x¹5 b) X x² x3 xs .... are power series?

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Q: Use the graph of the function y=f(x) below to answer the questions. (a) Is f(-3) negative? O Yes O…

A: The given graph

Q: 24. Find the equation of the plane that contains the points (5, 0, 4), (1, 3, 3), and (3, 1,3).

A: Given dataPoints of a plane,

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A: The given cuvre

Q: 10.) Express the integral f sin 100 xcos 301 xdx in the form fp(u)du where p(u) is a polynomial and…

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Q: 15.a.) Using the fact that the Maclaurin series for cosx = -07 x2n, find the Maclaurin series for…

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Q: Evaluate the following definite integral. Your answer must be exact. S cos(arctan(10t)) 1 + (10t)²…

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Q: 5 Use the formal integral calculus definition of the Laplace Thans form to find the Laplace Show all…

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Q: 7. [(3 2+5)2]2 - 4

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Q: If we were to draw a line with a positive slope m, and assign the acute angle between the line and…

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Q: Transform the following differential equations into start form for linear differential equations

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Q: Use the graph of the function f to state the value of each limit, if it exists. (If an answer does…

A: To find the limit of the given function

Q: x²-x-2 lim x→2x²+x-6

A: The given limit is

Q: Q for equition of motion : _ R = 3 sinti+ 3 rostj + 4tk Determine:- 1 Unit tangent vector ( Normal…

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Q: A supermarket sells two brands of coffee: brand A at $p per pound and brand B at $q per pound. The…

A: A supermarket sells two brands of coffee: brand A at $p per pound and brand B at $q per pound. The…

Q: 1.) Find the derivatives of a.) y = 3e²x — 2lnx + arcsec x

A: the given equation is

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Q: 9. Explain how you would use the alternating series test to show the following series is convergent.…

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Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y = 1. The cross-sections…

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