Let g(x) = log3(æ). Find g'(4). g '(4).

Q: C(x) = 15000 + 500x. (A) Find the average cost per motorcycle if 500 frames are produced. Ave. cost ...

A: we have givenC(x) = 15000+500xwhere x is number of frames 

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Q: R4. If A- 21+3i : ond B-+5K ;hnd the angle hetwee them. De. Choose the Correct answer: 1. ST unit of...

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Q: Without solving completely, explain why the function x2+ 5x − 3 has a zero on the interval [0, 1]. G...

A: The condition for a given continuous function f(x) = 0 has zero in a given interval [a , b] are foll...

Q: Which of the following is equivalent to csc B(sec B– 1)(sec ß+1) for all values of ß for which csc? ...

A: Topic = Trigonometry

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Find the slope of the line. Slope = m =

A: Given: - The diagram of the graph, To find: -The slope of the line.

Q: Let r(x) = f(g(h(x))), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r'...

A: Given r(x)=f(g(h(x)))h(1)=5h'(1)=5g'(5)=5f'(4)=8

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: r(4)=DTsin(i+ 34 j+ t°K 2. POINT: (1,2,1)

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: This question is related to sequence and series, we will solve it using ratio test. 

Q: 1. When studying graph transformations, we have looked at two basic types: trans- lations and deform...

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Q: Use a linear approximation (or differentials) to estimate the given number. (Use the linearization o...

A: topic - linearization

Q: The function f(x) 2x 36x + 162I - 7 has two critical numbers. The smaller one is x = and the larger ...

A: The critical number of a function f is a number c such that either f'(c) =0 or f'(c) doesn't exist.

Q: F(x) =  x2 − 1 x ,  find the following. (a)     F    −  1 2

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: trigonometri

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Q: e. Use your model to find P(8) and interpret this value in context. Show all work algebraically. Wri...

A: e.)  P(t) = 2(t) + 10 (for showing whole questions are required or you may see the solution from a t...

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Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

A: a.)  Assume the model: d(t)= at+b From the question: 4a + b = 5.5 --------1 7a + b = 3    --------2 ...

Q: n=1 (ii) Give an example such that a, converges conditionally and diverges. IM:

A: Please see the below picture for detailed solution. 

Q: Each one of the lines (a), (b), (C) and (d) represents the linearization of a function at the given ...

A: topic - linearization of a function

Q: sin20 cos e

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: This question is based on application of derivative.

Q: Show that, if y, is a solution to a differential equation of the form y"+P(x)y' + Q(x)y = 0, then, a...

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Q: sin x 1+ cosx 1+ cosx sin x 2cscx 2secx 1

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Q: Explain the difference between the average rate of change of y as x changes from a to b, and the ins...

A: According to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Find all solutions to the following equation on the interval 0<B< 2n (in radians). 2 cos (B) + cos(8...

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Q: Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(g) = - 2.8q + 900, what profit can...

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Q: CalculateS.

A: Here we have to calculate ∫02xe-xdx by trapezoidal rule n = 10      

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Q: Which of the following polar equations describes a circle centered at (G, 5) with radius 2 O r = cos...

A: Given, center=(12,12) radius=12

Q: ∫(x2-2x+1) / (x2-2x-3)5/2 dx solve using integration by parts

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Q: Néxt question Evaluate the following limit or state that it does not exist. (Hint: Identify the limi...

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Q: to

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Q: Integrate V4r - 8~ dx using a table of integrals 2. Chrome-Microsoft Word- Integral Formulas IIl.doc...

A: Given query is to find the value of integral using the table given.

Q: Use the trapezoidal rule withn = 5 to approximate 4 cos(x) -dx

A: To approximate : ∫14cosxxdx using Trapezoidal rule with n=5

Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4 ...

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Q: Find the following functions and their domains a).  ?−? b).  ?/?

A: Answer is following-

Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

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