6. Find the absolute maximum and absolute minimum of the function f(x)=x´e^ +1 on the interval[-2,1].

Q: Suppose that f is a twice differentiable function and that its second partial derivatives are…

A: answer is in next step

Q: Find the derivative of the function. h(x) = log4(x + 9) h'(x) =

A: Topic = Derivative

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

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Q: Find the absolute maximum and absolute minimum values of f(x) = 3x^4 +4x^3 −12x^2 +1 on the given…

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Q: 2/5 (0) M234n 16. 4. 7. 6. 4. 4. 3. 13 14 II 3. 12. 9. 7. 3. 14 3. 91 27 12 2. 91 2. a) - 91 7. 2.…

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Q: Let f(x) = {2x-5 if x3

A: Find your answers below

Q: 16 – 8x f(x): x2

A: Follow the procedure given below.

Q: Suppose f(x) > 0 on [0, 3], f(z) <0 on [3,7), f(z f(x) dr = 5, and f(x) dx = -9. Evaluate (0). re…

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Q: Use a limit of Riemann sums to evaluate the definite integral. 4 | (32" + 0) dz lim n 00 Σ lim Σ %3D…

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Q: 5. Fied ť+, y= t*+t for t=-l equatin ef the lagest limye te the Cume an

A:

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: Eva luate the Following limits 2) lim x-74 X2-X-12 *-1 s.) limx->4 *2+x=2

A: To evaluate the following limits.2 limx→4 x2-x-12x2-x-203 limx→1 x-1x2+x-2

Q: 4) A projectile travels at a velocity of v(t) = 45 – 32t, where v(t) is measured in feet per second.…

A: We have to find displacement of the projectile.

Q: Evaluate: (12t - 9t2 + 7)dt 01

A: We need to evaluate : ∫0312t3-9t2+7 dt

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у)…

A: Given: As no method is mentioned, we will be answering by graphical method.

Q: dx. х2 + 4 3.

A:

Q: The nght-circular conical tank shown in Figure 6.2 below leaks water out of a circular hole at its…

A: answer is in next step

Q: Evaluate the limit. N 5i lim > N2 i=1 (Use symbolic notation and fractions where needed.) N 5i lim…

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Q: Speedometer readings for a vehicle (in motion) at 5-second intervals are given in the table. t (sec)…

A: We can find the total distance traveled by using the left Riemann sum and the right Riemann sum…

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: A farmer finds that if she plants 40 trees per acre, each tree will yield 35 bushels of fruit. She…

A:

Q: ) f(x) = In(Vxe2x)

A: Given query is to find the derivative if the function.

Q: 3x2 + 2x – 10 A + -1 B C al I x3 + x? - 10x + 8 dx using x+4 x- 2

A:

Q: Substitute s, = 2 into the function f(t) = -4.9t2 + vot + Sp. f(t) = -4.9t2 + vot + 2v When the…

A: To  get the velocity function from the given position function.

Q: n n(n + 1)(2n + 1) Le n be a positive integer. Use induction to prove >j² = 6 j=1

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Q: Use Cramer's rule to solve the following. 2х -Зу %3D13 2x-y = 7

A:

Q: Evaluate: (16t3 – 9t2 + 7)dt

A: ∫02 (16t3 - 9t2 +7)dt using integration [16t4/4 - 9t3/3 +7t]02 [4t4 - 3t3 +7t]02 64 - 24 + 14 54

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

A:

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

A:

Q: 4 Using the e – 8 definition of limit, prove that lim x→3 3x 1 1 2

A: To prove the limit of given function using the epsilon delta definition of limit which states that…

Q: 3. Find the area enclosed by the curve x = t3 – 1, y = 2t - t? as shown below. (Hint: to find the…

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: Given the triangle 30 find the length of side x using the Law of Sines. /44° 26° Round your final…

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Q: write the equation (a) in cylindrical coordinates and (b) in spherical coordinates, please? x^2 -…

A:

Q: Evaluate the definite integral. n/2 sin*(x) cos(x) dx = -n/2

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Q: cerve X= Si▪ (Zt), y=Gs(±t), them dvaw the Culve

A:

Q: Determine positive integers A, B, C, D, E and F such that 9n-14 6x2 -132-5 A Bx+C Ex-F A B = C = D =…

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Q: The data and graph above show the number of hours of daylight in Richmond VA for specific dates…

A: This is  a problem related to trigonometric function general equation. Based on the given graph we…

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A:

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: 1) Test whether the following differential equations are exact and solve those that are. 5.37.…

A:

Q: Find all possible values of x such that In(x) + In(x + 1) = ln(2). If no such values of x exist,…

A: lnx+lnx+1=ln2

Q: Suppose we know that the power series )an(x - 8)" converges for x = 4. What other values of x n=1…

A: we will use ratio test to check convergence of power series.

Q: 1 converges or diverges. As part Let b be a real number with b > 1. Determine whether 1+ bk k=0 of…

A:

Q: Determine whether the Ratio Test is inconclusive (that is, it fails to give a definite answer),…

A: We have to determine whether the given series is convergent , divergent or inconclusive

Q: The function gives the cost to manufacture x items. C(x) = 25,000 + 50x + 800 ; x = 150 Find the…

A: We want to find average cost per unit of manufacturing.

Q: COuld I please have help with the third multiple choice question? Thank you.

A: We have to find the conclusion.

Q: Evaluate the iterated integral " (3x + y) 2 dyda

A:

Q: Find the absolute maximum value of f(a) = x2- 2x +9 over the interval [0,5] The value C for the…

A: Use derivative and integration for the following question.

Q: Find the antiderivatives following function. 1. f(x) =x' - 3x² +7x +e*

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Q: i) The area of the surface obtained by the rotating the curve y=V 36-x, -3<x53 about the x- axis is…

A: