Find all critical numbers for the function. State whether it leads to a local maximum, a local minimum, or neither. 1) f(x)=-x3-3x2 + 9x +3 2) f(x)=x+= X

Q: cos(In2x) X A) cos(Inx) + c C) sin(In2x) + c dx = ? B) sin(Inx) + c D) E) 2.sin(In2x) + c 2…

A: Given

Q: (7) ² Fi²+ Fi²+ ² Fi Fz Cos/20 49=F₁²+ F²-FiFe- tan 8= 48- = 4√3 4√3= F₂S in 190 Fit F₂ Golze $7…

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A: The given differential equation is;  d2y/dx2-3dy/dx+2y=cos(e-x).

Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: Given

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A:

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Q: B)Convert r = √2 cos(8-) to cartesian.

A:

Q: let a=2+7i b=4-2i Choose the correct result of a*b* O24+22i O22+221 O22+241 O 22-24

A: complex number multiplication

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A: To find the Normal vector to A & B.

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A: Consider a beam of length L with a fulcrum x feet from one end see figure. There are objects with…

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A: From the given graph G, we have to find its total degree

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A: Since you have posted more than one question, I can answer only first question for you

Q: 2 2. √(√x-3) dx

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Find fx and fy, and evaluate each at the given point. f(x, y) = arctan(y/x) ;  (8, −8)

A:

Q: Suppose that f is a function that is continuous at a number c. Which of the following statements I,…

A: use the definition of a continuous function

Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: To find the distance between the two cars.

Q: 3 X and f'(-2) if f(x) = 6x. 8 (-2)=(Simplify your answer. Type

A: Given: f(x)=x38-6xTo find:f'(-2)

Q: a. Determine whether the Mean Value Theorem applies to the function f(x)=ex on the given interval…

A: The given function f(x)=ex on the interval 0, ln 9

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find

A: given

Q: Evaluate: [x(1-2²) da ¾ O ³(1-x²) + C 3 0-² (1-x²) O 3 + C O 2/(1-x²) + C 3 O ㅇ글 (1-22) : + C (1-x²)…

A: Here we have to find the integral.

Q: e The median weight of a boy whose age is between 0 and 36 months can be approximated by the…

A:

Q: Which of the following is a solution of the given initial-value problem? y' + (tan(x))y = 5 cos²(x);…

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Q: Please provide Handwritten answer of all parts.

A: Please provide Handwritten answer of all parts.

Q: ind the equation of a line that passes through A(1,-1) and is perpendicular to the line (x,y) =…

A: The equation of a line that passes through A(1,-1) and is perpendicular to the line…

Q: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X).

A: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X)

Q: Evaluate the integral. (Use C for the constant of integration.) tan³(x) sec(x) dx

A:

Q: Given f(x) = 3-5x³, use a table to estimate the slope of the tangent line to f at the point P(0, 3).…

A: According to question,Given Function,fx = 3-5x3P0, 3Qx, fx

Q: Q5A) Find volume of body from above Z = √√4-x² - y² and below Z Triple integration. 1 using

A:

Q: 2 2(x + 1).In(x ² + 2x + 3) x²+2x+3 $² A) In(x²+2x+3) + c dx = ? B) In²(x²+2x+3) 2 +C

A: According to question,Given Integral,Let I =∫2x+1 lnx2 + 2x + 3x2 + 2x + 3 dx

Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

A:

Q: Use Euler's method with step size 0.1 to estimate y(0.4), where y(x) is the solution of the…

A: To solve the initial value problem.

Q: Find the domain of the following function. 1 f(x) = 2 25-x

A: Given function f(x)=125-x2we know that fraction abis defined when b≠0the function is not defined…

Q: If [ f(x) dx O 10 0 2 O O -2 = 4 and 4 [*g(x)dx = 6, what is 5 2 [ f(x)dx + ² g(x)dx? 4

A:

Q: -4 -3 -2 -1 0 3 4 1 2 Write an interval to describe the set of values shown above.

A:

Q: Find the general solutions of the system. 601 x' = 08 8 -4 x 01 4 x(t)=

A: The given system,x'=60108-4014x

Q: Find the rate of change of the area of a square with respect to the length z of a diagonal when z =…

A:

Q: Assume that f is continuous on the set of real numbers. Find a and b given that b 3 [ f(x) dx - f₁…

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: Solution given below

Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: Classroom activity 9.1 the monthly income earned by each of the following workers paid by the hour…

A: We have to determine the monthly income.

Q: f(x) dx = 4 and 0 1₂ 2 +S²g(x)dx? 3 f(x) dx + -2 10 2 g(x) dx = 6, what is

A:

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)]…

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Evaluate the integral using integration by parts. Scot-¹(8y)dy 1 Scot ¹(8y)dy = -x In (cos (6y)) + C

A: The given integral,       ∫cot-18ydy

Q: Solve the initial value problem y″ + y = 0, y(7) = 8, y′(π/3) = − 16 y(t) = √√3cost + 8√√/3sint y(t)…

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Q: Solve the initial value problem y" + y = 0, y(3) = 8, y'(n/3) = − 16 Oy(t) = √√√3cost + 8√/3sint…

A:

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: solve