Use Power Sums to evaluate N 3s? 2s 4 lim N3 s=1 (Give your answer as a whole or exact number.) 3s2 – 2s – 4 lim N-00 s=1 N3

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Q: Paramount Electronics has an annual profit given by P = -100,000 + 5,000q – 0.25q? dollars, where q…

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Q: 3 The antiderivative of the function f(x) = + 9x is x2 -3 4.5x2 + c 3 + 18.0a? + c 6- + 1.5x + c 3 +…

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Q: The value C for the solution of the initial value problem f'(x) = x – 7x + 3, given that f(0) = 0. C…

A: A detailed solution is given below

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Q: 2. Find the exact length of the fllowing curvis 1&s4 () x= Imfi-) <と

A: a) y=13xx-3 ; 1≤x≤4 Note:      Multiple questions are given, we are answer with only one question.…

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x2 + 2x – 2) dx…

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Q: dx. х2 + 4 3.

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A: To find the area inside both curves.

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Q: -1 1

A: Given that cos(arcsin(-1))   we know that arcsin(-1) equal to π/2 or 3π/2

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A: Consider a cubic function and satisfy the given conditions.

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Q: (会 lim 4x - 1 Find a. 2x + 5 lim 3x + 5 - 6x - 8 2x lim b. Evaluate + x - 12

A: a) limx→-∞4x-12x+52b) limx→-22x-6x2+x-12+limx→∞3x+56x-8

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Q: nd d²x/dt² as a function of if 4 = 7x sin x.

A: Given query is to find the derivative of the the expression.

Q: Show that the equation 2x+sinx = 0 has exactly one real root.

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Q: 3. A piece of wire of length shape of an equilateral tr should the wire be cut sa a) a minimum? b) a…

A: L: length of the wirex: one piece of wire cut from length LPerimeter of the equilateral…

Q: 1) y= 1 tan 20 3元 5元 3n 7元 2元 元 TC 元 4 2. 4 414

A: The given data is: y=12tan2θ  To draw the graph.

Q: Activity 1.3.3. A water balloon is tossed vertically in the air from a window. The balloon's height…

A: Given problem:- A water balloon is tossed vertically in the air from a window. The balloon's height…

Q: 30 cm of wire is cut into 2 pieces. One piece is bent into a square, and the other piece is bent…

A: To find out the length of the two pieces.

Q: f(x) = (3x + 1)4 · (x³ – x + 1)°

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Q: Solve the following system of equations: X 2y + 3z = 1 - x + 2y – z = 13 3x + 2y – 5z = 3

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Q: 1. Solve the equation: log5 (7x - 3) =3

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: 10. Find the average value of the function f (x) 1 = -x + Vx on the interval xe[0,8]. Graph on…

A: The average value of the function is given by;favg =1b-a ∫abf(x) dxTo plot the average function…

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Q: 3 | (16t3 – 12t? + 6)dt

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Q: Evaluate the integral (ycoS z + 1) dydz.

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Q: A rectangle is inscribed with its base on the X-axis and its upper corners on the parabola y=…

A: A rectangle is inscribed with its base on the x-axis and its upper cornerson the parabola y=8-x2.

Q: 1. Write z = -6+ ót in polar form. O z 6 V2 cos-+i sin 4 4 = 2/6| cos- +i sin- 4 O z = 6 /2 cos…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (5, 8, –1) Vw(5, 8, -1) =…

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Q: The value C for the solution of the initial value problem f'(x) = x² – 6x + 2, given that f(0) = 0.…

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Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

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Q: The graph of r = -9 cos e has which of the following characteristic: O circle; diameter of 9; center…

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Q: Let {an}-1 be a positive sequence which satisfies nan+1 1. Prove that > an converges n=1 a1 Prove…

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Q: 7. Find the linear approximation to f(1) = VI at a = 27. a. Use it to approximate 27.2. b. Use a…

A: Given problem:- Find the linear approximation to f(x)=(27)(1/3) at a = 27 . a. Use it to approximate…

Q: x sec (3x) tan (3x)dx

A: ∫ xsec3xtan3xdx

Q: 5, (1) Find the eigenvalues and the eigenvectors of the matrix A = %3D 3 -2

A: The given matrix is: A=563-2

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A: P∝TP∝1VPV=k T .....(1)where, k is proportionality constant.P1=18 atmospheresV1=120…

Q: If a rock is thrown upward on the planet Mars with a velocity of 15 m/s, its height (in meters)…

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Q: The value C for the solution of the initial value problem f'(x) = x° - 7x + 3, given that f(0) = 0.…

A: Given the initial value problem is f'(x) = x3-7x+3;  f(0)=0

Q: 12. The graph below represents a periodic graph. y 5+ 10 12 14 16 4.

A: Topic = Functions TRUE

Q: z = 49- 72 2y2.

A: answer is in next step

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Q: If f (x,y,z) = (x?y + y'z)-/3 find the degree of homogeneity if it exists. Enter the answer in the…

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