2.If f(x) and g(x) are continuous functions, then f[f(æ) + g(x)] da = S (x) dx + f g(æ) da. %3D O A. True ов. False

Q: (3) Evaluate the iterated integral , " (3 + x² +v²) dx dy.

A: First integrating with respect to x and then with y

Q: Which integral has the largest value? a ed f (x) dx f (x) dx f (x) dx f (x) dx

A: We have to find out the largest area

Q: 4 Find lim cos C→十0 Enter I for o, -I for –∞, and DNE if the limit does not exist. Answer:

A: Topic = Limits

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A:

Q: Find the derivative of the function. -x + 1 r(x) : = |(7x – 4)(x – 8) -

A: Given that a function r(x) and we find derivatives of r'(x) .   We know that d(xn)/dx= nxn-1.…

Q: 4x 20. Write log2 assthe sum and/or difference of ² - 3x - 18 logarithms. Express powers as factors.

A: The given logarthim expression,       log24x3x2-3x-18

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A:

Q: For the model of Newton's law of cooling LP -2T + 4, T(0) = -2, dt the initial temperature is -2°.…

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Q: 1. Bob, Glen, and Paul (the authors of our text) are sitting around enjoying their nice, cold…

A:

Q: 4. The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was…

A: We need to find population model and solve.

Q: A child flies a kite at a height of 80 ft, the wind carrying the kite horizontally away from the…

A: Solved below

Q: Use the currency exchange rates in the table for the following question. You arrive in Mexico City…

A: Given query is to find the amount of pesos can be bought in $420.

Q: Find of and Duf to :- f cas,z) = In (x²+zy?+32) atp(-v34) in the direction of ã=-3i-4j-12K. -314…

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Q: Let F= (2xy +z?,x?, 2xz) and let C be the circle r(t) = (2 cos t,6 cos t,3 sin t), for 0sts 2a.…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation…

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Q: (7 Find the absolute extreme values (maxima minima) for gcx) = -x²+(6x -8 on Ca,4].

A:

Q: Se° cosh@de

A: We have to find the integral

Q: a) Find the area of the region enclosed by the curves y = 12 – x² and y = x2 - 6. Answer: A =

A:

Q: Suppose there is no known formula for g(x), but we know that g(2) = -1 and d (z) = V2 +5 for all x.…

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: An amount of $4500 is invested at 12% interest, compounded daily. a Find the future value in 5…

A: An amount of $4500 is invested at 12% interest, compounded daily.a To find the future value in 5…

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A:

Q: x +4 f(x) = x +2 s the set of all real number except and its range is the set of all numbers except…

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Q: 5. Write, but do not evaluate, an integral expression that would give the area of the region between…

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Q: Solve the logarithmic equation. 2 log x= log (10x- 250) + 1 X3= (Simplify your answer. Type an exact…

A:

Q: the

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Q: = 0.3(1- 2) (-)P. dt 200 at time t. he population in equilibrium? he population increasing?

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Q: Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

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Q: 4 dx x2 1/8 (Type an exact answer, using x as needed.)

A: We have to find the definite integral.   According to our guidelines we can solve only one question…

Q: Determine constants A and B such that the given piecewise function is continuous for all x. -4 if x…

A: Explanation of the answer is as follows

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A: answer is in next step

Q: у" - у' - бу %3 exp(-x) - 7 сosx

A: answer is in next step

Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + %D 5 1 9) y =- + 2…

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: Solution is given below:

Q: Question 30 a) If the the average value of the function g(a) 6a-3a over the interval 0,is given as…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine whether the sequence defined by 1/x converges or diverges. If it converges, find its…

A: The given sequence,   an=1+8n1n

Q: 1. S(In x)² dx

A:

Q: Find the region R below for which (2 – x² – y²)dA has the largest value. R Hint: you can do this…

A: To find the region R for which the integral has the largest value , find the region R for the…

Q: Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?…

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Q: For the function f(x) = find f'"(x). Then find f"(0) and f"(4). 3+ x f"(x) =| Select the correct…

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Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

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Q: V10. What are the horizontal asymptotes of the function f(x)=Nx+9 O y = 5 only O y = -5 only O y= -5…

A: Given query is to find the horizontal asymptote.

Q: X 21. The height, s, of a ball thrown straight down with initial speed 32 ft/sec from a cliff 48…

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Q: In the recent "Asian War" in the South China Sea, the allied forces captured 6,400 of China's…

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Q: 2 3x-x² lim X→-2 х2-х-6

A: We have to find limit

Q: The entire graph of the function f is given below. Use the given graph of f to find the following.…

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Q: Find the curl of the vector field F=(2xyz, -xy,-z^2)

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Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: 5. Jxе2x dx

A:

Q: The vertical asymptote of the curve 9x3 х — 10 - is given by æ = ||

A: