To evaluate S (In x)² -dx, apply integration by parts twice. For the second application of integration x³ by parts, what is the appropriate u and dv?

Q: Which of the following is the inverse of f(x)=√x²-4? 2 ƒ˜¹(x)=√√√x² − 4 ƒ-¹(x)=x-2 - Option 1 O…

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Q: What is the domain of the function in the graph? 20+8 18- +16+ 14 12 64506 10- 8 6. 47 08≤g≤14…

A: Domain is the values on x-axis for which graph is defined.

Q: Show that if x is an integer, then gcd (x+1, x^2 -x +1) divides 3. Use this result to find knowing…

A: Solving

Q: Find the future value of a $30, 000 annual income stream if it is invested immediately as it is…

A: Solving the problem by finding the value of compound interest.

Q: Convert the point from cylindrical coordinates to spherical co (3,2,0) (p, 0, 4) = || X

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Q: Q2: find dw/dt at given value point for the following function

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Q: 21 23 (24) EMPR Solve the differential equation by using method of un determined. coefferent;…

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Q: 8. Use the method of Lagrange multipliers to find the maximum value of the function f(x, y) = xy…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ k→∞ ak k=1 11

A: Given query is to apply ratio test.

Q: The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial…

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Q: Find the the domain of the function f(z) = O {x|x / 10} O{x|x + T} O x x 10 and x-7} O x 1 x -10 and…

A: Find the domain of the function

Q: The table shows a proportional relationship between the number of tickets purchase and the cost.…

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Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: In this question we have to find limit of the function and check discontinuity.

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

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Q: Decide whether the statement is true or false. - 5 is a solution of log 325 = 2log 3x.

A: Formula

Q: Find the area of the region bounded by the graphs of the equations. y = 2+√√x, x = 0, x = 8, y = 0

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Q: / x³ + x²+2x+1 (x² + 1)(x² + 2) dr

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Q: Find an equation of the plane that is passing through the point and is perpendicular to the line L.…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: A 10-foot ladder leans against the side of a building. If the top of the ladder begins to slide down…

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Q: 2. Consider the following table of a periodic function h(t). t 0 1 2 3 4 5 h 4.0 5.25 6.165 6.5…

A: hmin =1.5hmax=6.5A)Midline:y= hmax+hmin2y=6.5+1.52y=4B)Amplitude:A=hmax-hmin2A=6.5-1.52A=2.5

Q: Question 6 The domain of the function f(x)=√-4x+12 consists of one or more of the following…

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Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: Find the radius of convergence, R, of the series. Σ (. (x-7)" n=1 n R = Find the interval, I, of…

A: Given:   ∑n=1∞ x-7nnn

Q: Find the radius of convergence, R, of the series. 12"x" n n = 1 R = Find the interval, I, of…

A: As per as our guideline i am supposed to answer only one question please repost remaining question

Q: The plot below represents the function f(x): 8 K + ů 6 3 6. £5 312 1 -1 Evaluate f(1): f(1) = Solve…

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Q: Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation…

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Q: Find the derivatives of the following function (a) y=4²+2√²

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Q: Evaluate Ic (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (9, -7)

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Q: Consider the function f(x) = cos(x) - Give the following: A = B = f" (A) = f" (B) = Thus f(x) has a…

A: The given function is  f(x)=cos(x)-sqrt(3)x/2.

Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: Find the Taylor series of the function at the given center a. f(x)=x³-5x, a=2

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Q: The function f is defined as follows. 2x if -2<x<0 f(x) = x³ if x20 (a) Find the domain of the…

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Q: a₁ = 5 9₁2=35 Find the common difference using arithmetic sequence.

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Q: Fill in the blank. y = 6(4) can be written in terms of base e as y = 6(4) can be written in terms of…

A: First I have written the equivalent logrithmic expression for any function and get the desired…

Q: erify the following identities: (Warning: Two-Column Proof will NOT be accepted) sin + cos 0 cot 0 =…

A: Solve as general

Q: r(x, y) = ln(x + y) w = x sin(y) + y sin(x) + xy

A: In partial derivative, while taking the derivative with respect to one variable consider other…

Q: Slove.. -x e lux by BiSection

A: Answer is in below steps.

Q: Write the equation of a sine or cosine function to describe the graph. 3- 3 1 π - 4 4 -2 -3 r k | 2

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Q: Evaluate the integral. (Use C for the constant of integration.) / G 6.9 + +0.5 +0.5 5ex dx 6 -

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Q: An isoceles right triangle with legs of length s has area A=1/2s^2.  At the instant when s=sqrt 32…

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Q: Find a set of equations to represent the graph of the rectangular equation using t=x and t=3-x. y=…

A: Find your answer below

Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: 1. Consider the graph of f shown below. Using geometry (areas of rectangles and triangles),…

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Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) = (xy-1)² 2…

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Q: -0.4t The rate, r, at which people get sick during an epidemic of the flu can be approximated by r…

A: Solved below.

Q: Write an equation of the form y = a sin bx or y = a cos bx to describe the graph below. → 2- प्र 3 n…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Question 7 Find the area enclosed by the curves y=2x², y=2√x,x= — and x = 1 A 45/51 B) 59/76 49/96…

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