Find the absolute max and min values of f and state where those xe values occur. 2 f(x) = 2x² + 3x²³ - 12x; [3,2] 3

Q: The odds on (i.e. odds against) TripleTreat winning the Kentucky Derby are 7 to 2. This means the…

A: The odds on (i.e. odds against) TripleTreat winning the Kentucky Derby are 7 to 2.

Q: inld4u trated 1. T1: I can apply mathematical definitions. 8\II out frowemdit coin 11 auber a ora ea…

A: Limx-infinity (lnx+x)/(x+3)

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A: y = 3sinx,y=0 0xπ

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A: The given equation

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Q: Use the graph to find the following limits and function value. a. lim f(x) X→2 b. lim f(x) X→2* c.…

A: In this question, we will find the limit by using the graph.

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A: The radius of the cylinder Let the height of the cylinder = hcm

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Q: Practice 7: y=x√√x Find an equation of the tangent line to the curve y = 1 + 3x that is parallel to…

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Q: 16. x1 + 3x2 +4x3 = 0 3x1 + 8x2 + 7x3 = 0

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: (b) Evaluate the integral 1 ["(-417 +31² 7 + 32 +1 k) dr 4ti dt 0 3t+1

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Q: For the following differential equation d²y dt² + 4y = 1 cos (21) a. Find the general solution b.…

A: The given differential equation is

Q: 2. Isolatex. For answer, show this structure <x< -5 ≤ 2-x < 5

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Q: Determine the inverse Laplace transform: F(s) = 4/s2 - 5/(s + 1)

A: To determine the inverse Laplace transform.

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 8 1+ + 8 9 2…

A: To determine whether the following geometric series converges or diverges.If it converges, then to…

Q: Find the derivative a. f(x)= square root of ((2x+5/7x-9)) b. [(x^2-1)^5-x]^3

A: We are supposed  to answer only one question  as given question  is not a sub part of the first…

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A: These are different  question  and not sub part of one question,  so we have solved first 2…

Q: 3. a. Find the intervals of increase and decrease for the following. y = 2x² - 8x + 1 b. y=x² + 160…

A: A function f (x) increases in the interval I if f'(x) &gt; 0 for all x in I.A function f (x)…

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 12" n! M8…

A: Consider the series

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Q: Find the open interval(s) where the function is changing as requested. Increasing; y=√√x² + 10

A: y=x2+10

Q: Find the equation of the tangent plane to the surface determined by x³y² + z-30 = 0 at x = 3, y = 5.…

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Q: If 6 J of work is needed to stretch a spring from 12 cm to 14 cm and another 10 J is needed to…

A: Work = 6jAnother work =10j

Q: -3 -2 3 2 1 -1 -2 -3 1 2 3 Use the graph of f(x) above to estimate the value of fƒ'(0) to one…

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Q: SS (3X-5) dA; R is R Eval & Reverse ? Triangular Region bounded b y=x+5 Y=-X+7 X=10

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Q: une poi where the tangent is non oricaror verucal. You may want to use a grap oma x=²-3t, y=t²-6…

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Q: Evaluate the double integral [[ (zy + 2) dA, where D is the set of points contain within the corner…

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Q: A ball of radius 15 has a round hole of radius 8 drilled through its center. Find the volume of the…

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx B) Write the equation for the…

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Q: Consider two functions y₁ = f(x) and y₂ = g(x), and that y₁ ‡ y2 except where they intersect. If…

A: Given that two functions  and  and  except what they intersect.These functions intersect at…

Q: y = xer

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Q: 1. Consider the following function, if x # 0 if x = 0 Prove that the function f is differentiable at…

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Q: For the demand function q = D(p) = 600 3 (p+3) ³' find the following. a) The elasticity b) The…

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Q: Evaluate the limit at -infinity. (If an answer does not exist, enter DNE.) t 4t² + 1 lim t→-∞

A: Consider the limit

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Q: A projectile is fired with an initial speed of 240 m/s and angle of elevation 60°. The projectile is…

A: The initial speed of the projectile isAngle of projection, The initial vertical position, The…

Q: 1. Find the volume of the solid determined by x² + y² ≤ zª and z¹ ≤ 1.

A: To find the volume of the solid determined by the inequalities x^2+y^2 ≤ z^4 and z ≤1, set up a…

Q: 6. Gravel is being dumped from a conveyer belt at a rate of 30 meter³/min and it forms a pile in the…

A: Diameter = height(h)radius r = h = 2rVolume of circular cone =

Q: Practice 1: Use the limit lim 8-0 sin =1 lim tan 41 1-0 sin 31 and trig identities to evaluate the…

A: Limt-0 tan(4t)/sin(3t)

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Q: y = f(g(x)) 1 x + 19 y= U = u = g(x) y = f(u) y = u ¹/2

A: y=f(g(x))u=g(x)y=f(u)y=1x+19u=◻y=u−1/2

Q: 4. Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A 300 gal B…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim (15 tan…

A: y=limθ→π2−(15tan⁡θ)15cos⁡θ

Q: f(x) = -8x + 1 x-1

A: f(x)=−8x+1x−1