Differentiate the function. r(x) = sin(9 In(x)) f'(x) =

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Q: . A bacteria culture initially contains 100 cells and grows at arate proportional to its size. After...

A: Given, A bacteria culture initially contains 100 cells and grows at arate proportional to its size. ...

Q: Find the interval on which f(x) = x² + 4x – 1 is increasing and the interval upon which it is decrea...

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Q: Use the Fundamental Theorem of Calculus to evaluate, Vx3 (x + 5)dx. 0.

A: To evaluate:                       ∫05x3 (x+5)dx

Q: (b) Compute sin 20. Hint: sin 20 = sin(e + 0)

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Q: 3. Given the graph of f(r) below and A(x) = | f(t) dt, answer the following questions. (a) A(0) is: ...

A: Given: The graph of f(x) and A(x)=∫1x f(t) dt

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Q: 9.2

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Q: How would I solve this integral?

A: Given, ∫cosy1+sin2ydy Now assuming ,   t = siny then dt/dy = cosy dt =cosydy Sustituting the values ...

Q: I need help solving b and c.

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Q: Use properties of logarithms to evaluate without using a calculator. logs (64) 3 logg (4) 9 logg (2)...

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Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing th...

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Q: (a) Evaluate the following limit: lim ) (1-e3x x²+3x, x-0 (b) Find the equation of the tangent to th...

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Q: Find the center and radius of the following spheres x² + y² + z² – 2x – 4y + 8z + 17 = 0 %3D

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Q: f(x)=[(6x-7)(3x+3)]/[(2x-3)(x-8)]   Find the horizontal asymptote and the vertical asymptotes

A: To find horizontal asymptotes: If the degree (the largest exponent) of the denominator is bigger th...

Q: Complete the table for the radioactive isotope. Isotope 226Ra, Half Life (In years) 1599, Initial Qu...

A: Given: isotope R226a half-life 1599 amount after the 1000 year 1.5g amount after 10000 years...........

Q: Find the relative extrema for f(x) = x + 32? Enter your answers as an ordered pair. Enter DNE if the...

A: Explanation of the solution is given below....

Q: Analyzing motion Consider the position vector of the following moving objects.a. Find the normal and...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Last expert was wrong

A: Given data,  Initial due(P0) = $70,000 Time since due (t) = 6 years Interest rate (r) = 4% = 0.04 Co...

Q: Suppose that tan(x)csc(x)=1/f(x) Write f(x) in terms of sin⁡(x) and cos⁡(x).

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Q: Question is attached

A: Given function, y=tan4x+π3

Q: 650 The equation N (t) = models the number of people in a town who have heard a rumor 1+49e-0.7t aft...

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Q: Consider the following equation f (x,y) = x²y. Find the derivative off in the direction of (1, 2) at...

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7 – x...

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Q: f(n) = The limit is:

A: Given that : The series is ∑n = 1∞ 4n9n + 4n .

Q: Three distinct integers are chosen at random from the first 20 positiveintegers. Compute the probabi...

A: Given: Three distinct integers are chosen at random from the first 20 positive integers. We have to ...

Q: Fill in the blank/s: The augmented matrix for the system

A: We have to write the augmented matrix for the system of equation: 2x+y+4z=-43x+z=14x+3y+z=8 Augmente...

Q: A construction company has adjoined a 4900 ft22 rectangular enclosure to its office building. Three ...

A: For the given question, Let us find (a) Find a formula for L in terms of x and y. L(x,y)= (b) Find a...

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Q: Tessa invests $5600 in a new savings account which earns 3.9% annual interest, compounded continuous...

A: From the given data:

Q: se the Limit Process to find the aread Ul QUor the given in

A: Given that: The equation is y = 8 - x 3 and the interval [ 1, 3].  

Q: Solve the system using substitution. 3y -10 %3D 9y 30 - 3x %3D

A: Given :  x - 3y =  -10-9y = 30 - 3x

Q: A patient's pulse measures 72 beats per minute, 81 beats per minute, and then 115 beats per minute. ...

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Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 АЗ The are...

A: Integration of curve between interval a and b is also defines as area of curve between instant "a" a...

Q: A delivery company wants to come up with a package box that has a square base and a volume of 40 cub...

A: Given, Let's assume the side of the square base = a Height of the box  = h Volume = area of  base * ...

Q: A small frictionless cart, attached to the wallby a spring, is pulled 10 cm from its rest position a...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Determine the points where the given function is not defined and is therefore not continuous. For ea...

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Q: Explain why a matrix that does not have the same number of rows and columns cannot have a multiplica...

A: Why a matrix that does not have the same number of rows and columns cannot have a multiplicative inv...

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars) ar...

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Q: A complete subgraph of a graph is necessarily a ...

A: Complete subgraph of a graph :  A complete subgraph is a set of nodes for which all the nodes are co...

Q: Most scientific calculators have keys for log10 x and ln x. Tofind logarithms to other bases, we use...

A: The given logarithmic expression is  log38.

Q: Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to fiv...

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Q: Find the 2nd derivative of f(x) = x^3+x^4 and its sign chart. Which of the following is not true abo...

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