n {an} = {√n²+1 }

Q: Find the derivative of f (x) = ln x² sin x 2x+1

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Q: y-values y-values 9 8 6 3 2 1 5 4 3 2 1 g(x) h(x) 2 3 x-values 2 3 x-values If f(x) = g(h(x)), then…

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Q: Use Trigonometric Substitutions to evaluate the integral x³√4+x² dx

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Q: A toy company is trying to determine the optimal price for their weekly supply to meet the demand…

A: The objective of this question is to determine whether there will be a shortage or surplus of toys…

Q: Calculate the sum of the series Sn = 4 - 2(0.9) 00 Σ n = 1 whose partial sums are given.

A: Sn = 4 -2(0.9)nFind sum.

Q: 2 1 0 2 0 0 -3 +- ( 8 ¦ ), -- (1 3), ∞ - ( ¦ ¦4) A= = B = C = = 0 1 -2 0 4 0 00 2 TC 1 1

A: According to Bartleby answering guidelines, we can answer only first three subparts. Please post…

Q: Consider the following series. ∞ n = 1 7n + 18-n Determine whether the geometric series is…

A: Consider the following series.To determine whether the geometric series is convergent or…

Q: Find the derivative of f (x) = ln O f'(x) © f'(x) O f'(x) O f'(x) = = = = | 8 + sin x f (x) = ln (…

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Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0≤ 0 ≤ 2л, and 0 ≤ y ≤ л.) (a) (0,4√3,…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula…

A: Given: (a) If , then to find .(b) If , then to find

Q: Choose the correct graph below. OA. G OB. O C. Q O D. Q

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Q: Let h(x) = 3x³ +9x² - 24x Determine the absolute extrema of h on [1,5]. If multiple such values…

A: Consider the function

Q: Suppose that p(x) = Σanx" converges on (-1, 1], find the interval of convergence of p(2x − 3) . n=0…

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Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (7t sin t, 7t…

A: to find velocity, acceleration functions of a particle whose position function is given by r(t)=…

Q: The polynomial of degree 4, P(z) has a root of multiplicity 2 at = 3 and roots of multiplicity 1 at…

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Q: If tan0 = 11/9 and cos 0 > 0, then without finding the angle, find the exact answers to the…

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Q: Consider the following repeating decimal. 0.2 (a) Write the repeating decimal as a geometric series.…

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Q: 2x Use the function f(x) x² + 5 (a) Find the interval(s) on which f(x) is increasing. Number of…

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Q: Consider the piecewise defined function Find the values of a and b that make the following function…

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Q: Change of variables əz If z = exy where x = In(u + v) and y = sin(u - v), find oz and z ди Solution…

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Q: USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF RATIO TEST: 2n+l…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the absolute maximum and absolute minimum of the function f(x) = 2 sin x - x in the interval…

A: To find the absolute maximum and absolute minimum value of the function  in the interval .

Q: A triangle with sides a, b, c and one of its angles is twice the other. Prove that the relationship…

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Q: This exercise is based on the following table, which lists interest rates on long-term investments…

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 00…

A: The given series .The aim is to find the interval of convergence and the sum of the series.

Q: Consider the indefinite integral The integrand decomposes into the form ax + b + where a = b = C =…

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Q: Let f be the function defined by f(x) = cos(2x) + esin(z). Let g be a differentiable function. The…

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Q: Consider the function f(x) = 2x³ - 27x² 60x-10, -5≤x≤ 15. The absolute minimum of f(x) (on the given…

A: The given function is .The aim is to find the absolute maximum and minimum of  in the given…

Q: Let lim g(x) = -1 and lim h(x) = 10 x 4 x→4 Determine the value of the limit lim [8+√xh(x) x→4

A: Let, To determine the value of the following limit.

Q: A manufacture has been selling 1000 television sets a week at $450 each. A market survey indicates…

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Q: Find two unit vectors orthogonal to a = (-5,-4, 5) and b = (-2,0,4) Enter your answer so that the…

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

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Q: (d) This graph is a lemniscate π/2 1 2 3 4 5 6 I with equation 0

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Q: Differentiate the following function. f(x)=9-4x+5ex f'(x) =

A: Given,

Q: If f be the function defined by f (x) = x³ + x. lf g (x) = f−¹ (x) and g (2) = 1, what is the value…

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Q: Find F '(x). F'(x) = F(x) = 14 3 √ sin(x) 7 √t dt 0 -sin 3 2 dt

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Q: A manufacture has been selling 1550 television sets a week at $390 each. A market survey indicates…

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Q: Find the following using the table below. X 1 f(x) 3 1 4 ƒ'(x) 4 1 2 g(x) 3 1 4 g'(x) 2 1 4 2 3 4 2…

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Q: The function P(x) = −2.5x² + 775x – 9500 gives the profit when x units of a certain product are…

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Q: The graph below shows the velocity of an object (in ft/sec) as a function of time t (in seconds).…

A: We will find the displacement.

Q: x² For the given cost function C(x) = 128√√x + find 42875 the following. For average and marginal…

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Q: Use the Second Fundamental Theorem of Calculus to find F'(x). X F(X) = √ * ² F'(x)= = 4t cos(t) dt x…

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Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the function…

A: Given,

Q: The graph of f is shown in the figure. y 8 7 6 5 4 3 2 1 (a) Evaluate 1 9 [₁ 2 f(x) dx. 3 4 5 6 7 co…

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Q: Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. an √97³42…

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Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

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Q: Determine whether the series is convergent or divergent. 3 1 3 + + 16 32 64 1 3 2 + + + 4 8 O…

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Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

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Q: Find the distance from the point (5, -5, 5) to the plane-x+y-3z = 7.

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Q: 47. lim- v-3 48. lim y-2 49, lim x-2 v-1-√²-5 v 3 y²+y-6 50. lim x 2 50 51. lim x18 8-y²-y x² - 4x +…

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