Find an upper bound on the error that can result if cos(x) is approximated by 1 - (x²/2!) + (x^/4!) over the interval [-0.5, 0.5]. upper bound: Enter answer to six decimal places.

Q: f(x) = -2(sin(3x + pi/2)) + 1 for x is an element of [0, 4pi/3] State the phase shift, period,…

A: The given function is  , The standard equation of Amplitude Phase shiftVertical shiftTime period

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Q: Question 5 The formula for the braking distance of a car is: 0.03361 v² fl d= where: . d is the…

A: given data:

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Q: Find the indicated term of the binomial expansion. 13 (u³ +21²) ¹³₂ ; tenth term

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Q: 8. Find the linearization L(x) of f(x)=√√x² +9 at x = -4.

A: Given that the function

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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: Betty's Bathtub company produces two types of tubs: the Jazzy Jets model and the Double Dip model.…

A: We have to find the price of Jazzy Jets model and Double Dip model.

Q: The system of differential equations : has the solution Y = C₁ et V₁ + C₂ ezt V₂ + C3 e¹³ V3 where…

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Q: Given that f (t) = t² - t - 5 represents the rate at which air is escaping from a balloon in liters…

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Q: ying Polynomials Simplify the product using the distril (x-2)(x+6)

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Q: Find the cost function for the marginal cost function. 7 C'(x)=9x; 10 units cost $171.99 X Write the…

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Q: A company's marginal cost function is C'(x) = 686 - 4x +0.06x² where x is the number of units, i…

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Q: Find T 1 = -1 wwwman x² dx + C

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Q: 4. n=1 ne-n

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

Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

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Q: x³ + 3x² = 1 3

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Q: If the marginal revenue for ski gloves is R'(x) = -0.5x + 55 and R(0) = 0, find the revenue…

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Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y =…

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Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

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Q: Find the general solution of the homogenous differential equation 9y" - 30y' + 25y = 0.

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Q: dx f(x) g(x)]-

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Q: The Taylor series for f(x) = x³ at -4 is Σen(x + 4)". Cn n 0 Find the first few coefficients. Co C1…

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Q: For the sequence defined by: a1 = 2 an+1 = Find: a2 a3 a4 = 4 an - 3

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Q: For the following exercises, use the Mean Value Theorem and find all points 0 < c < 2 such that ƒ(2)…

A: The given function is,Take derivative.Substitute x=c

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: Perform the following operations and simplify the results. State the domain restriction in each…

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Q: After finding the partial fraction decomposition, 10 x-6 -3x + 7 2 x + 3 + X 0 3x + 4 x² + 3 S +…

A: Consider the integral

Q: What is the limit of (Cos(x)-1)/x^2 as x approaches 0?

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Q: Evaluate the following indefinite integral. 19 / (22+4) de dx Note: Don't forget your C! And be sure…

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Q: 3. Two savings account start with $100 each. Account A earns $2 annually while account B earns 2%…

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Q: 15. An open rectangular box is to be made by cutting equal-sized squares from the corners of an 8"…

A: The dimensions of the box are:Length: L=15-2xWidth: W=8-2xHeight: H=x

Q: derivative In 2 x-1 2 x+1

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Q: Solve the given differential equation. 3x²y" +6xy' + y = 0

A: To solve the following differential equation.

Q: Find a simplified series representation of x²e4 answer = n

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Q: Find the function g(x) satisfying the two conditions: 1. g'(x) =-512x³ 2. The maximum value of g(x)…

A: To find the function  satisfying the following two conditions:(2) The maximum value of  is 5.

Q: [120 0230 0 0 2] O [1 20 240 0 0 2] [1 -20 -250 0 0 -2] [200 012 025]

A: The given matrices are

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A: The average household received 24 pieces of mail each week. The number of bills and statements is…

Q: Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the…

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Q: Find the indefinite integral of the function g(x)=e^(2x) sin(3x)dx

A: The objective of this question is to find the indefinite integral of the function g(x) = e^(2x)…

Q: The Maclaurin series of the function f(x) = 6 cos (5x²) ∞ can be written as f(x) = Σ n=0 where a few…

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Q: Let h(z) = 2¹/3 Determine the most general indefinite integral of h. 1/3 dz

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Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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Q: find the limit if it exists, or show that it does not exist.  lim (x,y)→(0,0) (x^4 −y^4)/x^2+y^2

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Q: The approximate rate of change in the number of design patent applications received in recent years…

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