The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

Q: Suppose you know the following: · ƒ( − 3) = 10 f'( − 3) = − 1 ● f'(x) is continuous for all x ● Find…

A: See this solution in below.

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Q: 2. Find lim x-π/4 3. Find lim 4. 5. 8x sin(h - 3) h-3 h2+2h - 15 Find lim tan(x)-2лtan(x) 4x-μ…

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Q: 4- Find the derivative of the function: g(x) = ₁ 19 Sin (12x) Cos(13x) 14√1+u² du.

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Q: he limit of the following sequence or determine that the sequence diverges 17n 17n+6 5}} tan ct the…

A: Given query is to find the limit of the sequence.

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Q: s: Find the function f(t) given the following information: f"(t) = et + sin(t) f(t) = f(0) = 5…

A: Given query is to find the Indicated function.

Q: Find the indefinite integral. (Use C for the constant of integration.) (5 − x) dx…

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Q: Use implicit differentiation to find y² + 6x³ = 7y - 4x² dy dx > Next Question dy dx

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Q: Writee the first expression in terms of the second if the terminal point determined by t is in the…

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Q: Find the laplace transform of f(t) = 3t5 - 5e²t + 10 sin 4t OF (s) OF (s) = OF (s) = OF (s) OF (s)…

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Q: (b) 1.00⁰ xe -4x dx

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Q: 2. Use the Fundamental Theorem of Calculus, Part 2, to evaluate the integrals: (a) π 3 secx (secx +…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 5) Find all the complex cube roots of -8-8i.

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Q: Quantain Initial value Problem (62) Obtain the solution of the following initi x² + 2x = t x210) = 0…

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Q: The units for f(x) are feet per minute (ft/min) and the units of x are feet (ft). What are the units…

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Q: The City Council proposed to utilize government-owned land with an area of 9,600 square meters.…

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Q: Evaluate the indefinite integral: (tan) da 1+² S =+c

A: Given:       ∫tan-1x41+x2dx      =∫arctan4x1+x2dx substitute u=arctan x→dudx=11+x2…

Q: Show that for motion in a straight line with constant acceleration a, initial velocity vo and…

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Q: (a) Apply the Mean Value Theorem to tan over [0, 0], where 0 0 when 0 0 + 0³/3, when 0 < 0 < π/2.…

A: “Since you have asked multiple question, we will solve the first question for you. To get remaining…

Q: A particle is moving with acceleration a(t) = 18t + 14. its position at time t = 0 is s(0) velocity…

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Q: A particle moves along the x-axis with acceleration given by a(t) = cos 1/ cos (1/t) for time t > 0.…

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Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

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Q: Use the Root Test to determine whether the series converges absolutely or diverges. k² k=1 15

A: The given series, ∑k=1∞1+15kk2 We have to check the convergence of the series using root test.

Q: Let f : A → B and g : B → C be functions. Prove that if f, g are injective, then g ◦f is injective

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Q: 7. Find 5²90 g(x) dx given: [₁² f(x) dx = 4 fºs f(x) dx = 6 [²9(x) dx = 2 [² (f(x) + g(x)) dx = 5

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Q: Use the power series 00 1+x=(-1)²x² n=0 to determine a power series, centered at 0, for the…

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Q: a. Find the open intervals on which the function shown in the graph is increasing and decreasing. b.…

A: Given, The graph of function  (a) We have to find the open interval on which the function graph is…

Q: Consider the following function. F(x) = x4⁄5(x − 1)2 Find the derivative of the function. F ′(x) =…

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Q: [x² √14 + x³dx

A: To evaluate the given integral

Q: Find all points on the graph of the function f(x) = 2 sin(x) + sin²(x) at which the tangent line is…

A: We need to find out the points where tangent line is horizontal.

Q: = 4x² on Use the Fundamental Theorem of Calculus, Part I to find the area of the region under the…

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Q: 5 1²+10x x² + 10x dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The following table shows some data from a study on substance use among 10th graders in the United…

A: Given:  -------------------------------------------------------------------------  Given that…

Q: Let F = 14xe¹ i +7x²e j and G = 14(x - y)i +7(x + y) 3. Let C be the path consisting of lines from…

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Q: A. For each differential equation, give the dependent and independent variable(s), state whether the…

A: CONCEPT OF DEGREE:  The degree of the differential equation is represented by the power of the…

Q: The real functions f and g are defined by f(x) = 4 - x8 and g(x) = 1 + 2x¹. (a) Sketch a graph of…

A: The given real functions are:f(x)=4-x8        and          g(x)=1+2x4

Q: A culture of bacteria is growing at the rate of 20e0.8t cells per day, where t is the number of days…

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Q: 1 - 3 2 a 1 To find the blue shaded area above, we would calculate: b [.. Where: f(x) dx = area 2 3…

A: Given query is to find the shaded area.

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [5,…

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Q: Does the following series converge absolutely, converge conditionally, or diverge? (-1)" 1/2 ∞ Σ n=1…

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Q: 5 Odlewn the Solation of the following Initial Value Problem 2(t-2)² x (0) = 1 (t-2)x¹ - x =

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Q: A trough full of oil of specific weight w lb/ft3, has a length of 10 ft and ends in the form of a…

A: Specific Weight = w lbft3Length of trough = 10 ft,Width = 8ft,Height = 5 ft

Q: Suppose g(x)=ab^x is an exponential function that passes through the points (2,3)and (1,6).…

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Q: Evaluate the line integral ſy dx + x dy where C' is the parameterized path x = t², y = t³,3 ≤ t≤7.…

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Q: √4-x LS -2 JO 16-x²-y² 3x²+3y² y dz dy dx

A: Given: I=∫-22∫04-x2∫3x2+3y216-x2-y2y·dz·dy·dx Now solving the given triple integral we get:…

Q: Minimize the material needed to design a rectangular cubic box of volume 900 cm3.   Find the…

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