x²-2x-5 (x²)(x-1)

Q: Use Trigonometry Substitution to evaluate the following integral. / 3 = 273d² -dx

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Q: (b) The pitch of a note (how high or low the note sounds) is determined by the frequency f. (The…

A: As per your request, we can answer only part (B).The frequency is given bywhere L is the length of…

Q: In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal…

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Q: 3. Consider the curve which is the graph of the equation r³+y³ - 3xy = 0. Graph this curve using…

A: In this question, we will find the implicit derivative.

Q: Write the equation 52 = 25 in logarithmic form.

A: Write the equation  in logarithmic form.

Q: Find the exact length of the curve. x = 9 cos(t) - cos(9t), y = 9 sin(t)- sin(9t), 0 stST

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Q: Suppose a triangle in space has vertices (a, b₁, ²₁), (a₂, bz, C₂) and (93, b3; (3). Explain how you…

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Q: -3 10 1,0 -18 Estimated at x = 0: 3 9.

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Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: given

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 11 11…

A: I=∫011∫y11x2exydxdy

Q: Find the interval containing x = 0 where f(x) = 81x - tan(x) is increasing. Write your answer as an…

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Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges…

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Q: Find the derivative of the function. y = cos( cos(√sin(tan(7x))) y' =

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Q: = Determine whether the alternating series එය Σ(-1)²+1 1 5 n=1 converges or diverges. C...

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Q: Solve for x. X X -32 = -20

A: |xx−32|=−20

Q: 1. Find the volume of the solid determined by x² + y² ≤ zª and z¹ ≤ 1.

A: To find the volume of the solid determined by the inequalities x^2+y^2 ≤ z^4 and z ≤1, set up a…

Q: Practice 2: Suppose that f(2)=-3, g(2)=4, f(2)=-2, and g (2) =7. h(x) = f(x) g(x)+5g(x)- 100 Find…

A: f(2)=-3, g(2)=4, f'(2)=-2, g'(2)=7h(x)=f(x)g(x)+5g(x)-100Find h'(2).

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 12" n! M8…

A: Consider the series

Q: Indicate whether the graph specifies a function. 10 15 10 O The graph does specify a function. The…

A: to identify that the given graph shows a function or not.

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = 4(x - 5), (6, 1) y…

A: The tangent to a curve at a point is obtained by finding the slope at that particular point using…

Q: Given f(x) = (5x²-x) ¹ ƒ'(x) = You do noted to simplify

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Q: Find the derivative of the function. y = (tan-¹(7x))² y' =

A: y=(tan−1⁡(7x))2Take derivative.y′=ddx((tan−1⁡(7x))2)Use the derivative rule:…

Q: Factor the following problem and show your complete solutions D32D²5D +6

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Q: Find the derivative a. f(x)=(xex)pi b. f(x)= [arctan(2x)]10

A: (a)

Q: Evaluate the following integral /6 sec¹ zdz

A: The given integral is 6sec4x.

Q: 2. Is the series convergent or divergent? n=1 1 n² +5n+4

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Q: The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of…

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Q: 1. Power Rule: d dx Special Case of this: (x²) = nx" 4. Quotient Rule: n-1 U ( ² )' = d dx 2.…

A: C(x)= (5 x-2 )( 3 x2+ 4 x)We have to find marginal cost and for this we have to differentiate C(x)…

Q: Find the area bounded by the given curve. r = 6 cos(30)

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Q: 9x Find the limits in a), b), and c) below for the function f(x) = x-7 Use -∞o and ∞o when…

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Q: For y = f(x) = 7x³, find f(x₁+Ax)-f(x₁) Ax f(x₁ +Ax) -f(x₁) Ax -, given x₁ = 5 and Ax= 3.

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Q: 2. There is a circle whose radius r is changing with time t. We are interested in the area A of a…

A: Given:To Find:  (a)  To find the initial area of the sector.(b) To determine the rate of change of…

Q: 600-lb cable is 100 ft long and hangs vertically from the top of a tall building. (a) How much work…

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Q: Is the series convergent or divergent? If convergent, is it absolutely convergent? cos (πn) e-n COS…

A: Consider the series

Q: 80 Consider the series Σ (19x)" n=0 (a) Find the series' radius and interval of convergence. (b) For…

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Q: 2. e*. cosy dx + (1 + e*) siny.dy = 0

A: The given differential equation is

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: Find the derivative of y = ln(6x² – 7x). y =

A: To find the derivative of the following function.

Q: find the derivative a. f(x)= (x^6+1)^5 (4x+7)^3 b. 4(3x-1)^2 / x^2+7^x

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Q: Question 3x and it is known that dy If 4xy -1-y² -4y+3 , find all coordinate points on the curve…

A: The  of a curve represents the slope of the tangent line to the curve at the given point.The slope…

Q: Find the limit if it exists. lim (5x+8) x→-5 Select the correct choice below and, if necessary, fill…

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Q: (c) f(x) = (52–6)* 3x²+4 Solution: For this one we need to use the quotient rule first.

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Q: find the derivative a. f(x) = (x-1)^3 / x(x+3)^4 b. [(x^2-1)^5-x]^3

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Q: Suppose that f(2)= -5, g(2) = 2, f '(2) = -4, and g'(2) = 1. Find h'(2). (a) h(x) = 5f(x) 3g(x)…

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Q: y = = = = ₁ y = 0, 1 ≤x≤ 2 al Find exact coordinates of centrod b) sketcn the region bounded by the…

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Q: ind the limit if it exists. lim (12x+11) elect the correct choice below and, if necessary, fill in…

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Q: 14- 10 8 6 4 2 TO -B -10 810

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Q: A one-to-one function is given. Write an equation for the inverse function. h(x) = ³√/x-7 0° 8 %6

A: A one-to-one function is given.To write an equation for the inverse function

Q: Practice 1: f(x)=√x X+1 fferentiate and simplify your answer:

A: The given function is