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CalculusQ&A LibraryFor the composite function, identify an inside function and an outside function and write the derivative with respect to x of the composite function. (The function is of the form f(x) g(h(x)) Use non-identity functions for g(h) and h(x).) f(x) 4nx g(h), h(x)) = {4*, In (x) } 4In(x) In(4) f'(x)Start your trial now! First week only $4.99!*arrow_forward*

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Q: Use integration by parts to evaluate the integral. ∫425 √x lnx dx

A: The integral is given by

Q: Can you help with this problem step by step?

A: The given function is

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A: A vertical line x = a is said to be the vertical asymptote of the cure y = f(x) if it satisfies the ...

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Q: Find the derivative f(x)= sin 2xcos2x

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Q: Check for correct domain and ranges

A: Observe the graph and obtain the asymptotes if any.

Q: Help

A: In such problems ie second order linear differential equations when we are given one solution,y1 we ...

Q: Week 4 Fall 2019 Maxima minima of function Consider the following function of variable r, for r2 0 y...

A: The given function is shown below:

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A: Consider the function f(x) = 38·x2.To find the average rate of change of the function over the inter...

Q: A corporation recently sold zero-coupon $200 bonds maturing in 3 years with an annual yield of 12%. ...

A: The price is the present value of $200, 3 years from now at the stated interest rate.

Q: see attachment

A: Given trigonometric equation is,

Q: 3.75 divided by ( 1- 1.00375) -36 negative exponent -36

A: Given,

Q: Differentiate. y = 4x/(7-cot(x))

A: Recall the following fact.

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 + 0.005...

A: Suppose total cost in dollar from the production of x printers is given byC(x) = 0.0001x3+0.005x2+28...

Q: As the limit apporaches infinity, find the limit of (8sinx+7cosx)/(x).

A: Given limit function

Q: Find the linear approximation to the function. x2 f(x + Δx) ≈ Evaluate it at the given va...

A: Click to see the answer

Q: Graphs A and B are approximate graphs of f and f' for f(x) x28x - 10 So f is decreasing (and f is ne...

A: Let us find the interval in which f is decreasing:

Q: The question says: "A pair of parametric equations is given. a.) Sketch the curve represented by the...

A: Given:

Q: 3.3 Can you show me the steps to solve the problem? Directions: (a) Find the intervals of increase o...

A: (a)

Q: Use the given graph of the functionf to answer the following questions 10 1

A: Click to see the answer

Q: How do you solve this? I got -6 and 3 and it said it was incorrect, I also tried -3 and 6 but it was...

A: Given,

Q: The number of online buyers in Western Europe is expected to grow steadily in the coming years. The ...

A: (a) The percentage of online buyers in the year 2001 is evaluated as follows.

Q: please answer b (answer marked wrong)

A: Using information from part (a) we see that at x= (1/10)ln(1/9) there is a local minimum.

Q: If 16% of a radioactive substance decays in 13 hours, what is the half-life of the substance? Round ...

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Q: Differentiate the function T(z) = 2z log2 z.

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Q: The function f has a continuous second derivative, and it satisfies f(7)=5, f′(7)=4 and f″(7)=−2. We...

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Q: Find the limit as (x,y)->(0,0) along the path y=x for x<0

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Q: Differentiate. f(x) = x2 sin(x)

A: To determine the derivative of the function.

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Q: (c) f(x) = x

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Q: Find the equation of a) parallel and b) perpendicular lines to the line 4? – 6? = 9.

A: Assuming the given line is 4x – 6y = 9

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Q: If f(3) = 14 and f '(x) ≥ 2 for 3 ≤ x ≤ 5, how small can f(5) possibly be?

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A: Consider the given information:

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A: Given, function is

Q: 1. Find the following limits. e3r lim 3.x е (a) (b) lim e3/(2-a) lim In(1x2 - In(1 x (c) _ (d) lim l...

A: Click to see the answer

Q: (x1) Solve the IVP: y/ , y (0) = 1 y2 O y22y( 1)3 9 O 3y2 6y 2 (x + 1)3 7 O y22y

A: It is given that,

Q: Find the arc length of the curve y=12(ex+e−x) from x=0 to x=1.

A: Arc length of an infinitesimal element along the curve ds is given by