What are the real roots of the function in the graph? y -7 -6 -5 -4 -3 -2 A 3 B 4- -6 - 5 4 3 2 11 0 -1 -2₁ 3 -5 56 -6 2 4 5 6 7 C -1 and 3 D -6, -1, and 3

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Write the expression log563 using log53 and log57 EXPAND

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Q: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

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Q: An open rectangular box (no top) is formed with a square base and rectangular sides so that the…

A: Solution is given below:

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Q: fave = (b) Find c in the given interval such that fave = f(c). (Enter your answers as a…

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Q: Question 15 Find constants 4 and 8 such that the function y Asinx + Bcost satisfies the differential…

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Q: Find the surface area of the part of the plane 5x + 3y + z = 2 that lies inside the cylinder x² + y²…

A: Plane: 5x+3y+z=2 Cylinder: x2+y2=4

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A: Given query is to find marginal profit function and marginal profit

Q: 7. Compute fa, fy, and fz. (a) (x² + y² +22)-1/2 Straight forward (b) sin-¹(xyz) Straight forward…

A: Please see the below picture for detailed solution.

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Q: Solve for the particular solution of the given IVP: Oy=In(3/(2+e^(-x^2))) Oy=In((2+e^(-x^2))/3)…

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Q: Find the absolute extrema of the function y = 3x3 2x on [1,1]. Type your answers as coordinates (x,…

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Q: (1 point) Consider the following function, f(x), on the interval [5, 9]. Absolute Maximum 1. Find…

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Q: Given the partial graph of g(x) below, final all zeros. -12 g(x) = x³ + 12x² + 7x − 4 -10 O Zeros :…

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Q: 6. The series 겨 8. (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: To find the convergence of the given series.

Q: 13. A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward the first…

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Q: equation, find dy/dx evaluated at the given values. y²-x5= = -7 at x = 2, y = 5

A: Topic:- application of derivatives

Q: 2. Solve the following a) Sketch the solid which volume is expressed by dydzdx b) Sketch the solid…

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Q: If f(x) = sin(x²), find f'(x) Find f'(2)

A: Topic- Derivative of a function We are given f(x)=sin(x2) formulas…

Q: Find the limit 2 ·lim t²-16 t-4 t³-64 3

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Q: Evaluate the following improper integral. If the integral is divergent, enter "divergent" as answer.…

A: As we know the Power rule: ∫xndx=xn+1n+1+C   The given integral is: I=∫01x1-x23dx   ...1

Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 4x² + 2y² = 24 Please…

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Q: Evaluate the following limits or indicate that they diverg lim →∞ e¹

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

Q: 2. Evaluate the integrals 1 zx+z a) b) c) 6xzdydxdz 000 3 1 √1-z² SSS zey dxdzdy 000 1 2x y [ […

A: To find:- ∫01∫0z∫0x+z6xzdydxdz ∫03∫01∫01-z2zeydxdzdy ∫01∫x2x∫0y2yxzdzdydx

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = 4 2 50…

A: Given query is to find the function of the graph.

Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 9 about the x-axis.…

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Q: For the demand equation, use implicit differentiation to find dx p² + p + 9x = 120

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Q: 2пх2є 2πx²e³dx 0 akes a negative value? or example, an (incorrect) answer would be c ≥ 3π. Notice…

A: Given query is to find the value of c for which integyis negative.

Q: Given f(x, y) = then V 2e4* sin(3y) 4x ▼ ƒ(0, 1) = 2

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Q: A The equation below gives the position s= f(t) of a body moving on a coordinate line (s in meters,…

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Q: 6. lim √x Inx x-0+

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

Q: 2 10x The function f(x) = x²e¹⁰x is increasing on the interval and is decreasing on the interval The…

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Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p=…

A: Note:- these are multiple sub parts according to rule we can do max 3 sub parts so i am solving here…

Q: Find the derivative of y = (4x³) (5x² − 8) ³ d = 12x² (5x² - 8) *² dy dx ○ du = (127²) (10x² - 8) +…

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Q: Find the centroid of the region lying underneath the graph of the function f(x) = e over the…

A: The given function is: f(x)=e-x      over the interval  0, 4

Q: Blood Alcohol Level  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid…

A: Given:-  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of…

Q: What is f'(x) if f(x) = -? 40x5 ex

A: Given data, fx=40x5ex

Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

A: Here we have to plot a graph.

Q: f(x) -5 0 Let F (x) be the anti-derivative of f (x) such that F (6) = 15. Then F (0) is O-1 0 1 0 10…

A: Given query is to find the value of F(0).

Q: Find dy dx dx by implicit differentiation. ex cos(y) = x + y

A: We have to find derivative by implicit differentiation.

Q: 0 Find the sum of the series > k=1 (a) (c) 12710 2 (b) (d) 3 (ⅱ). 3 5 11 10

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Q: Solve for x: -X (f) 6*+¹ - 6-* = 5

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Q: ху 1-23 y =

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: The given sequence is; an=n3/(3n3+1).