Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = 1/x, y=0, x= 1, and x = 4 about the line y = -1.

Q: ƒ(x) = { C = cx + 4, cx² - 4, For what value of c does lim x→→6 x < -6, x ≥ −6. f(x) exist?

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Q: Use Convolution to solve inverse function: पूर्ण होजा? solve inverse laplace of a

A: Find the Laplace Inverse of a function using convolution L-11s3s-1=?

Q: In Exercises 7-14, a series an is given. (a) Give the first 5 partial sums of the series. (b) Give a…

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Q: 2/3x=-8/3

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Q: Sketch a graph of the function f(x) = 2 sin Clear All Draw: M 6+ 5 4 3 2 1 -9 -8 -7 -6 -5 -4 -3 -2…

A: To graph the function.

Q: Q.1.A: Find the domain and range of each function (choose only two) G(t)= F(t)=

A: Given function : F(t)=43-t and G(t)=2t2+6

Q: (5) Find a formula for arc length of y = 3t - 2 from t = 0 tot = x.

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Q: Determine the expression for F (x, y, z) given the function F(x, y, z) = 2x²y - xz² + 3y²z.

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Q: Sketch a graph of the function f(x) = 6 5 4 32 3 2 1 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 3 sin 1…

A: Topic = Graph

Q: Question 6 Determine the value of k such that y=4x²-3e2r is a solution to x(1−x) y''+ (2x²− 1) y' +…

A: The given equation is; y=4x2-3e2x.

Q: 1/m 12x-141 *ㅋㅋ X-7

A: We have to check the limit of the given function at 7- and 7+

Q: In Exercises 13-16, use the following information to deter- mine the limit of the given sequences.…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is find the limit of…

Q: For what value of k will the function f be continuous on (-∞, ∞)? x² 2 f(x) = = x + 3 k if x # -3 if…

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Q: lim = (5(x² − 1)² - 10) X→2

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Q: 2. Consider the plane determined by the three points (3,−1, 2), (8, 2, 4) and (−1, −2, —3). (a) Find…

A: Given: Three Points P=(3,-1,2),Q=(8,2,4) and R=(-1,-2,-3) PQ = &lt;5, 3, 2&gt; PR = &lt;-4, -1,…

Q: If the matrix A= [2 5 1;7 3 6;2 5 4], find: A' A(2,3) size(A) LA(:,2)=[] Inv(A)

A: We can solve this as follows:

Q: ind the constants A and B such that y(x) = Ae¯ to the IVP y" + 5y + 6y y (0) = 1 y' (0) = 16. = + Be…

A: Topic:- application of derivatives

Q: A company wholesales shampoo in a particular city. Their marketing research department established…

A: Given Supply equation ps=x300+12 Demand equation pd=9900x

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Q: 4. Find the value of the constant b for which f is continuous at a = - -1 and determine f(-1). 5 x <…

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Q: 5. Suppose instead we had the following tax structure. 10x, .12x, .22x, f(x) = .24x, x ≤ 9,950 9,950…

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Q: The table of values was generated by a graphing utility with a TABLE feature. Use the following…

A: At the points of intersection, the graphs of the functions have the same values.

Q: Is the function given by f(x) = . 4x+5, for x ≤4, 3x-3, for x>4, Choose the correct answer below.…

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Q: 9. Evaluate the indefinite integral without using the calculator. State main of the result and show…

A: Solution is given below.. fro quetion 9 a,b

Q: differentiate y = 4x/(7 - cotx)

A: To differentiate the following function.y=4x7-cot x

Q: Given the 4x4 determinant as enumerated: Row 1 (41,25,33,-67); Row 2 (-487,21,52,20); Row 3…

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Q: What is the Domain and Range f(x) = 1/√x³+8

A: Here we have to find out the domain and range of the given function.

Q: In Exercises 5 - 8, give the first five terms of the given se- quence. 4 (n+1)! 5. {an} = {\ {

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Q: Let f and g be differentiable functions such that f' (1) = 2 and g' (1) = 6. If h (x) = 5f (x) - 4g…

A: Given: f and g be differentiable functions such that f'1=2 and g'1=6 hx=5fx-4gx+3x2-2 To find the…

Q: Is the function g(x) continuous at x = 2? G(x)= x-2' 4, for x # 2 Yes No for x=2 Choose the correct…

A: Using the formula:Average rate of change of F(x) at a,b is:    (F(a)-F(b))/(a-b)

Q: Question Find the antiderivative of r' (t) = {√t, cos (4πt)) that satisfies the initial condition r…

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Q: Evaluate the integrals (5) (6) (7) f cos2x sin²x dx tan’xsec’xdo f tan³x sec5x dx

A: Here we have to integrate the given function

Q: Consider the following function. 1 (x - 9)(x - 10) Determine all values of x at which the function…

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Q: In a certain sci-fi apocalyptic movie set in the year 3020, the narrator said the maximum acceptable…

A: Given: In year 3020, Rate of decay of atoms of Uue is proportional to the amount present. After 10…

Q: The expression provided is called the quotient rule True False f(a+h)-f(a) h ,h #0

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Q: Q1/ Solve the following linear system using Gauss elimination method x+y+z=4 2x+4y-z = 10 2x-y-2z =…

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Q: In Problems 3-6, y = 1/(x² + c) is a one-parameter family of so- lutions of the first-order DE y' +…

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Q: You can use the Law of Cosines (see Figure 3.41) to find an equation that relates and 0. Figure 3.41…

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Q: Describe the surfaces defined by the following equations  a. p(the greej letter rho) = 13 b.…

A: a. ρ=13 This equation describes the set of all points 13 units away from the origin (0,0,0). So,  it…

Q: Find parametric equations of the line tangent to the curve r(t) = (-2e²t, -4e-2t, −6t) at t = 6.

A: Given, r(t)=-2e2t, -4e-2t, -6t at t=6

Q: 10. Graph the the parent f(x) = e. Then use the graph of f(x) and translation to graph g(x) = e-1.…

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Q: Determine the expression for F(x, y, z) given the function F(x, y, z) = 2x²y = xz² + 3y²z.

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Q: g(x) is a transformation of f(x) = √√. The graph of g(x) is shown below. +10+ 9 81 7 6 5 4 3 2 -1 7…

A: Given graph:-

Q: Given the function: P(x) (2x − 1, x < 2 = x² -1, x ≥ 2 Find the value of P(4)

A: Given the function: Px=2x-1, x&lt;2x2-1, x≥2To find the value of P4.

Q: When opposite vectors are added:

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Q: Solve the given differential equation (4x +y-1) dx + (x-y-4) dy = 0 O (x + 1)² - 4(x + 1)(y-5) -2(y-…

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Q: 1. A company's sales (in dollars) appear to be increasing linearly. In In 2015, the company's sales…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: If A-¹ -0.2 0.4 0.3 0,find Eigen values of A.

A: Eigen value

Q: The y' for 4xy = x

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Q: if Consider the function gor), where g(x) if X58 €3₂-6x +3 Is gey contin your at xpo if ghy or wind…

A: