Find the average value of the function f(x, y) = 5/√x² + y² on the annular region a² ≤ x² + y² ≤ b², where 0 < a

Q: 04: Answer two only: (A): I A-2 1 -1 1-2 Find AB and AC.. -- 3 1 1 and 1 3 1 CO

A: Given :A=420210-2-11, B2312-2-2-121, C=31-3026-121

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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A: This question can be solved using the concept of area of triangle using vectors.

Q: Q2: Find the 1. y = 1- 2. y [In(x² + 2)²]³ 3. y = xcsex tan² (cos x) 4. y for the following…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Evaluate the indefinite integral f7 sin v cos vdv =

A: Given ∫7sin6v cosv dvTo evaluate the integral:

Q: Q5: Find for the following functions: dy dx (4) y = x sinh 2x - cosh 2x

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Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

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Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

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Q: (d) Determine the y-intercept(s). (e) Sketch the function. (f) Determine the axis of symmetry. (g)…

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Q: Q2: Solve the following f (1) 7x² +14+15 (x²+3)(x+7) dx :

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Rewrite the following equation with the variables separated. tan(y)y' = 4 cos(x) O sin(y) dy = 4 dx…

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Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 400t dollars per day…

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Q: a. b. C. Evaluate the following double integrals: (2xy + 3y²)dydx (r)drde (e-²) dydx (Changing the…

A: We need to evaluate the given double integrals. Please see below fora detailed answer.

Q: Q2/A Cylindrical tank with radius of (3 m) and height of (10 m) has initially filled with water. In…

A: Please see the below picture for detailed solution.

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A: To solve the following problem

Q: 18. if f(x) = 2x² + 3x² - 4x-5 X+1 Suggested Table X f(x) -1.1 -1.01 -1.00 find X-7-1 f(x) = ?…

A: The given function,  fx=2x3+3x2-4x-5x+1

Q: Solve the given initial-value problem. y(x) = y" + 6y' 7y= 11e²x, y(0) = 1, y'(0) = 1 11e2x -7.x 7e…

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Q: parametric

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Q: surveyor standing 57 meters from the base of a building measures the angle to the top of the…

A: distance between surveyor  and building is 57 meter angle with building top = 38 angle with top of…

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

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Q: Two particles move along a straight line. The first particle, Particle A, travels with a velocity of…

A: Solution is given below:

Q: Find the radius of convergence, R, and the interval of convergence, I, of the following series. (1)…

A: (1) The given series is ∑n=1∞n(x-1)n

Q: Use L'Hopital's to determine the limit. lim 0 0 1 1-cos x I O sin x COS X as x approaches 0

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Q: Solve the following differential equations: a- (2x + 3y -2) dx + (3x -4 y +1) dy=0 b- (x²+3y²)…

A: The given differential equations are;  1) (2x+3y-2)dx+(3x-4y+1)dy=0 2) (x2+3y2)dx-2xydy=0.

Q: 5 +1 Tsimplify denomina 7) (1+i) (1-1) = 4 the Following without using the de noctor Prove that

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Q: Find the general solution of the following differential equation. 64y" +80y + 25y = 0 NOTE: Use c₁…

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Q: |-*^= 39. What is the length of the curve y = √x- between x = 0 and x = 2?

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Q: find the standard equation of the sphere with center (4,3,3) and radius 7

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Q: 10. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Sol:- To find the maximum concentration:-

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A: topic- average rate of change of function over interval Note: As per bartleby guidelines,we are…

Q: Find the shortest distance between the point A (3, 10) and the line y = x + 1.

A: Our Aim is to find the shortest distance between the point A(3,10) and the line y=12x+1 -(i)

Q: Find the critical points of the given function. a) f(x) = 2/3+¹/3+x−2/3

A: Since multiple questions are asked, I am answering first question

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

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Q: • The orthogonal trajectory of the equation given below is already given. What is the value of "n"?…

A: The given equation x2+3y2=r2

Q: (C): It w = tan x and x = 4t³¹ +t: Find d?

A: Given that w=tanx  and x=4t3+t. We have to find dwdt. We can write,  dwdt= dwdxdxdt  [ using chain…

Q: LI) Prove that (3

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Q: 62. y + y = 22 +10x X

A: To find out the general solution of the differential equation.

Q: What is the general solution to y² tan(x) dy = sin(x) dx o y = √3 sin(x) + C o y = -√√3 cos(x) + C o…

A: Here we have to solve the differential equation.

Q: 7x (x+3)³ a. Find lim F(x). X-3 Let F(x)= b. Find the vertical asymptote of the graph of F(x). c.…

A: F(x)= 7x/(x+3)3  a) find the limit of F(x) when x tends to -3 .  b) find the vertical asymptote of…

Q: determine if u and v are orthogonal, parallel or neither u=3i + 6j v=9i+12j

A: We need to determine if u and v are orthogonal, parallel or neither u=3i + 6j v=9i+12j

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Q: 2. Find the trigonometric integral. (Use C for the constant of integration.) Star tan(0) sec³(0) de

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Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

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Q: Q4: Answer two only: 4 2 2 1 -1 1 (A): If A = -2 Find AB and AC. 01 0; 2 B = 2 -1 3 -2 -2 and 2 1 3…

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Q: (B): If A = 2i + 3j - 4k; B = 3i-4j+ 5k and C = i + j - k, find: (iv) (3A + 4B). C (1) A.B (ii) B.C…

A: The objective of the question is determine the addition and dot product of given vectors.

Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: This includes building costs, property taxes, utilities, payroll taxes, benefits, insurance,…