4. Use the given graph of a functionf to answer the following questions. y= f(x) a. State all the local maximum and local minimum points of the function. (4, 3) (3, 0) (-2, 1) -6 6 X (-4,-3)/(-3, 0) F (2, -1) -4- b. State the intervals on which the function is: increasing decreasing

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Q: Second Derivative Test. Consider the function f(x,y) = 2xy + 3ln(x) + 10y (a) The critical point of…

A: The given function,   f(x,y)=2xy+3ln(x)+10y

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). f(C) = - (x + 1) (x² + 1) (3x² –…

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Q: Consider the following. g(x) = (5x – x³) h(x) = (3x + 4) f(x) = (5x – x³)(3x + 4) Find g'(x) and…

A: gx=5x-x3hx=3x+4fx=5x-x33x+4

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A: The given function is: f(x)=2+4x2; x=-1 to x=2

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Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: The given data is: ∫025x+10x2+4x+4dx

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A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

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A: The objective is to use trapezoidal rule to approximate the integral.

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A:

Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: Given integral ∫13 2x+6x2+6x+2 dx

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Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

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Q: Evaluate lim v9x² – 5x + 3x x - 00

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

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A: I have used the rule and find the solution . Point (1/2, 1) at which price is highest.

Q: Evaluate the following integrals: 1. So? 2. cos 2x dx

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Q: find the indefinite integral of (3lnx)/x dx

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Q: /3x+10 4 Evaluate lim x- 2- x2- 4x +4 А. 1 В. 3/8 D. -00 E. None of these C.0 B O D E O A

A:

Q: Profit. Suppose the profit of a product is modelled by the function f(x) 2x3 – 30x2 + 96x + 3 The…

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Plan A: f(t)=3090000e0.02t⇒f(5)=3090000e0.02×5⇒f(5)≈$3,414,978

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Q: 6. The two figures are similar and regular solids. Find their mass if the sum of their mass is 120g.…

A: Given information: 1. Given pyramids are regular pyramids. 2. Both pyramids are similar. (Hence…

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A:

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A: Find your answer below

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A: Explanation of the answer is as follows

Q: Consider the following equation and point. f(x) = a (3, -1) x - 4 Find an equation of the tangent…

A: First we have to calculate slope of the given function to calculate equation of tangent

Q: Given f(x) = 9x2 4x + 11, find f'(x) using the limit definition of the derivative.

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Q: 4 3 2 -6 -5 +4 -3 -2 -1 -1 1 3 4 5 -2 -3 y = f{x) -4 (a) lim, f(x)= x→-4+ -3 3 2 O DNE O 1 (b) Is…

A: We need to choose correct option.

Q: If e = then %3D 4. sin(0) = %3D cos(0) = Give exact values. No decimals allowed!

A: Follow the procedure given below.

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t < T L = ||

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Q: 1/4+1/5-1/6+1/7-1/8

A: Given, -1/4+1/5-1/6+1/7-1/8

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A: To find the first derivative of the given function.

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A: The given function,   f(x)=a+3x+2x2if x&lt;24x2+6x+8if x≥2

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A:

Q: The two figures are similar and regular solids. Find their mass if the sum of eir mass is 120g. e1 =…

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Q: 2x3 – 12x2 + 10x its. Evalute lim rounded to 4 decimal places. X→5 x2 - 7x + 10

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Q: Differentiate the function f(x) = 5x^4 - 10x^1/4  f'(x)

A: We can differentiate the function as below.

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Q: Solve the given differential equation by variation of parameters. y" - y' = xe*

A: