Consider the function f that is continuous on the interval [-5, 5] and for which ſ ƒ (x)dx = 4. Evaluate each integral 1. [f(x) + 2]dx

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A: Explained below

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A: This question can be solved using the concept of triangle law of vector addition.

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A: All the answers are given below

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A: We have to find the general solution of the given differential equation.

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A: Topic:- integration

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A: Explanation of the answer is as follows

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Q: where t € [0, 1]. x = cost, y = sint-t,

A: Here we will find the equation of tangent and length of curve P,

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A: answer is in next step

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A: To use the linear approximation to estimate cos(60.5°)

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A: We can solve as follows

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Q: bus For the function f(x) given below, evaluate lim f(x) and lim f(x). 818 8118 f(x) = √3x²-1 7x+3…

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A: Follow step 2nd .

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Q: Consider the following. Let u = 4x³ - 1. Find du. du = dx Indicate how the limits of integration…

A: The given definite integral,          ∫01x24x3-14dx

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Q: B. Convert the following to degree or radian. 1.330° 2.-485° 4 п 3.- - 4.- 7 -бл 5

A: Solved below

Q: PART I: Write an expression that is complex enough to be differentiated using the: Product Rule…

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Q: M8 M8 Με 4. Σ 15. Σ 6. Σ n=1 (n + 3)" 47² nt 1 – 5η4 (n + 3)" 4" η

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Q: 1. (a) f(x) = cos x ln x Find the derivatives of each of the following functions. (b) f(x) =…

A: Given :f(x)=cosx lnxf(x)=ln(cosx)

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Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

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Q: 10. If 3(a, 3, 2)-2(3, b, b) = (-3, 1, -2), determine a and b. Describe the set spanned by the…

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Q: 95 Μ: Μα (2) Σ k = (0) Σ 23 . = k=1 115 « Σ 6k +4 = k=1 k=1 95

A: Given problem:-

Q: A person's weight increases with height through approximately the end of the teenage years. Dan's…

A: In this question ,we can find Dan's weight .

Q: 8. If the graph of h(x) goes thro following statements are true fc

A: 8) y=h(x)g =h(x)This transformation only affects y-value.A(-16, 4)y(x=-16)=4, g(x=-16)=4 =2A' (-16,…

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Q: Solve the given differential equation by undetermined coefficients. y'' + 5y = −180x2e5x y(x)=

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Q: Use the simplex method to maximize the following: Maximize f=6x1+4x2+10x3f=6x1+4x2+10x3 subject to…

A: We need to use simplex method.

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec2(x) dy = 0

A: Solve the differential equation by separable variable