Suppose value of [ f(x)dx 2 f(x)dx. f(x) dx = -1, [**f(x)dx = 4 and [ f(x)dx = 2. Find the

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A: Here we have to find an upper bound on the error that can result if cos(x) is approximated by  over…

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Q: 1. The general solution of the system [x' = y, y' is given by x(t) = C₁ cost + C₂ sint, y(t) = C₁…

A: x'= y..........(1)y'= -x.........(2)

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Q: 4x (11 + x) Find the first few coefficients. Suppose that CO C1 = C2 = C3 = C4= ∞ n=0 Cnx". Find the…

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Q: 16. You are designing a rectangular steel vat with a square base, an open top, and a volume of 32…

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Q: Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is…

A: Suppose  is a function with continuous derivatives, and that .To find the Taylor polynomial of…

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Q: Solve the initial value problem 8y" - 2y' - y = 0, subject to y(0) = -0.2, y'(0) = -0.325.

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Q: 7. Evaluate the definite integral. a. b. С. 9 cos(xt/2) dt в'ітетка 1+ * = dx 47 dx

A: The given intergals are

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Q: Find the absolute max. and min. of each function y=√4−x^2, (−2,1)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: 14. A rectangle has its base on the x-axis and its upper two vertices on the parabola y =12-x². What…

A: The second derivative test states thatWe use this to solve the given problem.

Q: 6. 14 ) Consider both geometric series below. 3 SA = 00 Σ n=1 5n and SB = M8 n=0 3 5n Both SA and SB…

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Q: The function y(x) saifies the following equation: Find an expression for dy dx 5 x² − 2xy+3y² − 3 x…

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Q: Evaluate the integral: √16x² 8x² O x = 16 tan(0) Ox = 4 sin(0) Ox= 16 sec (0) Ox= 16 sin(0) 0x = 4…

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Q: Suppose that we're making and selling some widget and the profit (in dollars) when making a widgets…

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Q: Given the graph of f (x) below, what is the open interval(s) ov which f'(x) is positive? 3 N -8 -7…

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Q: 2. Show that the series converges by the Alternating Series Test (two conditions). Then find how…

A: The given series is

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Q: Differentiate the functions: cosec x * cos x

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Q: he table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx…

A: Consider the given table in the question.Given that n = 3△x=b-an"…

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Q: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

A: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

Q: √ 5x(x² +4)√√x² + 4 dx. 2

A: To evaluate the following integral.

Q: Evaluate the integral. 3 f(x) dx where f(x) =26-x² if -4 ≤ x ≤ 0 if 0 < x≤ 3

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Q: If f(x) = 15 to dt then f'(x) =

A: Note:-Since you asked multiple questions according to our policy we can answer only first question…

Q: Evaluate the following limits algebraically. 1. lim x--> - infinity   2x^2 / (x^3 + 5x)

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find the complete solution of the linear system, or show that it is inconsistent.

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Q: lim У-у-г уг -30+2 зу Уже

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Q: Let sin A = -1/sqrt10 with A in QIII and tanB = 3/4 with B in QI. Answer exactly. Find tan (A+B) and…

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Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

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Q: A stone is dropped from the upper observation deck of a tower, 500 m above the ground. (Assume g =…

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Q: The function s= -1³ 31²-31, 0sts 4, gives the position of a body moving on a coordinate line, with s…

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Q: Express your answer as a polynomial in standard form. f(x) = -3x + 5 g(x) = x² + 2x + 15 Find:…

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Q: A child flies a kite at a height of 40 feet, the wind carrying the kite horizontally away from the…

A: Height of the kite from the ground= 40 feetThe horizontal speed of the kite= 25