Sketch the region enclosed by y = 4z and y = 8z². Decide whether to integrate with respect to z or y. Then find the area of the region. Submit Question Jump to Answer

Q: on using a single vector function (including domain) of the following curves in R

A: we have to find parametrization for the given curve ;--   a linear path along  x - y =9  from (9,0)…

Q: Question 2 ( value problem y" +9y = 5 sin 2t, y(0) = 0, y' (0) = 2. , Consider the initial- (a) Use…

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Q: Find the derivative of the function. y' = y 1 - x² - x cos-¹(x)

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Q: Let F(s) = L-¹{F(s)} = ? 1 f(t) = e-8 tsin(√7t) √7 f(t)=e8tsin(√7t) O O f(t) = e 1 s²+16 s+71 -8 t…

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Q: Current Attempt in Progress X Your answer is incorrect. Consider each function to be in the form y =…

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A: in cartesian  coordinates  x=rcosθ  and  y=rsinθgiven  rsinθ=6

Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

A: Given λ is an eigenvalue of A. So there exists a nonzero vector x such that Ax=λx....(i) 1.Since A…

Q: Find the average rate of change of the function over the given interval. P(0)=03-202+60; [1,2] ΔΡ ΔΘ…

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: The volume of a balloon is inflated from 0 to 8 m³ in 5 minutes. What is the average rate of change…

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Q: 13. The function has the 1st derivative given by f'(x) = -x(x+3)(x - 1)²(x+4)³. What are the x…

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Q: Which of the following represents a geometric sequence with a common ratio r = 5?  1 2, 10, 15, 75,…

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Q: Let C be the curve f(x) = the length of C, as follows: = In(x) 2 4 between 1 and x = e. Calculate…

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Q: Find the volume of the solid whose base is the region enclosed by y = x² and y = 1, and the cross…

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Q: Differentiate. y' = y = 3 sec(x) - csc(x)

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Q: 6. Find a unit normal vector to the surface z = f(x, y) = xey - 2y at (0, 1, -1) and find an…

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Q: (a) nsider the change of variable from cartesian coordinates (x, y, z) to coordi- nates (r, y, 0) in…

A: Please see the below pictures for detailed solution.

Q: Find the matrix product AB, if it is defined. A = [56], B = [1 0-6 15 5 -18 12 OAB is undefined. °[…

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Q: Find the slope of the curve at the given point. 3y⁹+8x8 = 2y + 9x at (1,1)

A: According to question,Given curve,3y9 + 8x8 = 2y + 9xat given point 1, 1

Q: Find the area of the given region. Use a graphing utility to verify your result. y = 1 + In x³ X y 1…

A: We can find the area of the region .

Q: Suppose c is inversely proportional to the square of d. If c = 8 when d = 2, find the constant of…

A: Function

Q: tan x - sin x x³ 2) Evaluate i) lim- x->0 In(10¹6x+777) et ii) lim- 848

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Q: 4) Set up the partial fraction decomposition of (x− 1)(x+2)(x² +1) Do not solve.

A: Given; (2x3-1)/[(x-1)(x+2)(x2+1)2].

Q: Which of the following represents the series? −13 + (−7) + (−1) + 5 + 11      b    c    d

A: given  series is  -13+(-7)+(-1)+5+11first term is   -13

Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

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Q: Question 1: A radioactive element has a half-life of 30 years. If you begin with 7000 grams of the…

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Q: da x ln(x)

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Q: Use the given transformation to evaluate the integral. J (15x+10y) dA, where R is the parallelogram…

A: INTRODUCTION: The two types of integrals are double and triple integrals, with double integral being…

Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: Evaluate each of the following expressions using the given table of values. 3 4 5 7 6 5 3 4 7 6 5 5…

A: we need to find out the values of the composite functions.

Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y =…

A: Please see the below picture for detailed solution.

Q: Write a polynomial with degree 4 that has a zero at x = -1- i√2, and a zero at x = -6 with a…

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Q: Given f(x) = 13x³ + 18x² - 4x + 22

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Q: Graph the circle given below by moving the key points: (x - 2)² + (y + 2)² = 16 To graph the circle,…

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Q: You are given a feasible region. Find the maximum and minimum (if they exist) for the given…

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Q: x = The position of an object at time t is given by the parametric equations y = 5t² + 1 Find the…

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Q: √2² This can be transformed into a basic integral by letting Consider the indefinite integral U= du-…

A: We have given an indefinite integral  ∫x5·x6-24 dx Let,  u=x6-2 du=6x5 dx So, integral will be…

Q: this

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Q: Assume f and g are functions such that f(x) dx O 5G(x) - 2x + C OG (5x-2) + C O 5G(5x-2) + C OG(a) +…

A: Please see the below picture for detailed solution.

Q: (c) At what points is the height 40 m? (Round your answers to two decimal places.) (x, y) = -52.825…

A: The given equation of the arch:y=211.49-20.96 cosh0.03291765x

Q: Question Which of the following is the Laplace transformation O L {f(t)} if f(t) = (cos(-3t))² ? s²…

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Q: Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2?…

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Q: 1. Find f'where f(0) 2 Find all = 1+sec(0) 1-sec(0)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

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Q: R xydxdy

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Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: (a) Find the velocity v (t) - |a| (b) Find the acceleration function. 71 sin (a) e7 [7 sin(81) + 8…

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Q: An airplane flies at an altitude of a = 6 miles towards a point directly over an observer. Consider…

A: According to question,Given data,a = 6 miles,x = 10 miles,Speed of the plane = 400 miles per hour.

Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

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