If f(x) = 2e³², what is the average value of f(x) between [1, 4]?

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Q: How long do you need to invest your money in an account earning an annual interest rate of 5.177%…

A: A=P1+rnnt⇒A=Amount at time t⇒n=compounded period⇒r=rate of interest⇒t=time in years⇒P=initial amount

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Q: 3 = (2x³ + 4). 3. Find the equation of the tangent line when x = -3 for the function f(x) =

A: given f(x)=(2x3+4)3

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A: Using the Rectangular Approximation Method with 4 rectangles and taking the midpoint of the…

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Q: 5. Consider the function: f(x)=x²ex a) Determine the first AND second derivative. 1 b) Determine the…

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Q: fip da ॥ 72 fi 2r+39 e

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Q: In Problems 1-5, let R be the region bounded by y=x² + 3, y = 2x, x = 0, and x = 4. Each problem…

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Q: (b) Use the function to find T(30,000). $ (c) Find the tax due on a taxable income of $120,000.

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Q: 4. 21-25 Use the form of the definition of the integral given in Theorem 4 to evaluate the integral.…

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: 1. Solve the following DE using Variation of Parameters: (D2 + 1) y = secx tanx

A: given that (D2+1)y=secx tanx solve it by using method of variation of parameters

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A: Given:

Q: Select the basic integration formula you can use to find the indefinite integral. 1 이 U 7 (7t - 9)²…

A: The given integral is ∫77t-92+100 dt

Q: 1. Solve for x. Round your answer to two decimal places. 2x a) e = 12 4x-3 b) 12 = 3e c) en (2x+8) =…

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Q: Bus Econ 14.1.89 ¤ In order to study the effects of World War II on a certain country's economy, an…

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Q: Solve the formula for k 7k + ka a = f

A: Use multiplication rules

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A: Equation of line passing through two points ( x1 , y1 ) & ( x2 , y2 ) is given as  y - y1 = y2 -…

Q: c) Compute the fastest total time Nadia takes to the bus stop if Alania walks side walk first then…

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Q: Does the series converge or diverge? Please justify your answer in detail, mention any tests you…

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Q: , 103√x - √x X dx

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Q: Correct your answer as an integer or a simplified fraction. -3x+12=-x+2 in the answer box.

A: -3x+12=-x+2

Q: (d) Use the quadratic model to predict the 2035 expenditures for national health care. (Round your…

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Q: dx 4+ (x-3)² 1. S.

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Q: Question 12 O O Which of the following is equivalent to C ? 10 6 10 C 10 16 C 10 10 C 4

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Q: Use the Limit Comparison Test for 4n² + 2 n(n-1)(n-19) Σ' an bn n=25 to prove convergence or…

A: The given series: ∑n=25∞an=∑n=25∞4n2+2nn-1n-19We need to prove the convergence or divergence using…

Q: If In(x + 3) = 3, then x O 3e3 0 e3-3 03e-3 00

A: Given, ln (x + 3) = 3

Q: Connecting the Communication Device With the communication device pointed toward your home planet,…

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Q: How long do you need to invest your money in an account earning an annual interest rate of 5.177%…

A: A=P1+rnnt⇒A=Amount at time t⇒n=compounded period⇒r=rate of interest⇒t=time in years⇒P=initial amount

Q: 1. 16 + x< X dx

A: ∫xndx=xn+1n+1+C ∫1xdx=lnx+C

Q: 3. Evaluate: 5x² - dx {2 Decimal places} Type. U = S

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Q: The demand x for a good is related to its price p via the function: At what quantity will total…

A: Solving the problem

Q: Determine whether the improper integral diverges or converges. [² x x²e-x dx

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Q: Consider the following. xy²z³ = 80, (5, 4, 1) (a) Find an equation of the tangent plane to the given…

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Q: 3. Determine the equation of the tangent line to the curve: y = MacBook Air 1 2 3x² when x = -1.

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Q: For the differential equation: = sin(z)y, what is the slope at (0,2)? 02 04 O 1 0

A: A differential equation y'=f(x,y) represents the slope field of the curve y. at a point x0,y0 The…

Q: Prove Or disprove the the following: d dx a (xarctan - in (a² + x²)) = arctant a

A: ddxxarctanxa-a2lna2+x2=arctanxa

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) x2 - 2x x2…

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