find derivative arcsin(2x) log5(3x2+4x)

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A: Given:To Find:  (a)  To find the initial area of the sector.(b) To determine the rate of change of…

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Q: For y = f(x) = 7x³, find f(x₁+Ax)-f(x₁) Ax f(x₁ +Ax) -f(x₁) Ax -, given x₁ = 5 and Ax= 3.

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Q: Find f'(x) if f(x)=(5x-1)². f'(x) =

A: we need to find out the derivative of the given function.

Q: The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 77³. Express r as a…

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Q: y = (cos 7x)x

A: y=(cos⁡7x)x

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Q: Let g(x)-3x³-20x² Find the relative maximum and minimum values of g. Also find the intervals on…

A: The given function is

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Q: e radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use…

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Q: Labor. Refer to Table 4. (A) Find the average rate of change of weekly hours from 1980 to 1990.…

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Q: Solve the exact initial value problem 3y² dx + + (³1²575 2²2 + √²4) · + √2y) dy = 0, y(0) = 2, y5 X…

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Q: a. Find the linear approximation for the following function at the given point. b. Use part (a) to…

A: Given: To Find: (a) To find the linear approximation for the given function at the given point.(b)…

Q: Find the largest product the positive numbers x, y, and z can have if x+y+z² = 16.

A: x+y+z2=16Find the largest product of the positive numbers x, y and z.

Q: The total cost (in dollars) of producing x food processors is C(x)=2300+60x-0.3x². (A) Find the…

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Q: If f(x) = ²x² √t+3 dt, what is f(x)? 0 Select one: a. 1 2x³ +3 b. √√x²+3 c. 3x²√√2x³+3 d. 6x²2x³+3…

A: ..........(i)Comparing this with We get,Put t=a=0Similarly, Put t=b =

Q: Use the given information to find f '(5). f(x) = g(x)h(x) g(5) = -1 and g'(5) = -4 h(5) = 8 and…

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Q: Write the equation 52 = 25 in logarithmic form.

A: Write the equation  in logarithmic form.

Q: If f(x) x = [²₁ 1 = = then ƒ'(x) = ƒ'(−2) = tadt

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Q: The odds on (i.e. odds against) TripleTreat winning the Kentucky Derby are 7 to 2. This means the…

A: The odds on (i.e. odds against) TripleTreat winning the Kentucky Derby are 7 to 2.

Q: 4. Let R be the parallelogram enclosed by the lines x + 3y = 0, x + 3y = 2, x + y = 1 and x + y = 4.…

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Q: please show all steps what are 2 critical points of the function: f (x)  =  esin(πx/20) −…

A: Consider the function f (x)  =  esin(πx/20) − cos(πx/20)

Q: Find the derivative of the trigonometric function. y = sin((πx)8)

A: y=sin⁡((πx)8)

Q: Given: f(x)=4x-10 and g(x)=√x-6 Determine the following: (f-g)(10)=0 (HM)={ (fog)(7)=O -O (gf)(6) =…

A: The given functions are  and

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: The function f (x, y) = x³ - 3x² y + 3xy²-y3-11 22-2xy +49 y2 - 16 x + 208 y + 131 has a critical…

A: In this question, we will solve the all parts.

Q: In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal…

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Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

A: We have to write the given function as a composition of two functions.

Q: The answers for N[T(t)], t=2hr, and t=5hr are wrong.

A: Given:To find: (a) To compute .(b) To find the number of bacteria present when .Note: After seeing…

Q: 2. by (No need to justify for full credits if your choice is correct.) A. B. C. Which of the…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: A function f(x) has its maximum and minimum at the critical points and at the end points of the…

Q: 4. Three large tanks contain brine, as shown in the figure below. pure water 4 gal/min A 300 gal B…

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Q: (a) Find parametric equations for the line segment that joins the point P(-1, -4,-3) to the point Q…

A: Question no. 1(a):To find the parametric equations for the line segment that joins the point..Note:…

Q: Factor the following problem and show your complete solutions D32D²5D +6

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Q: ind the limit if it exists. lim (12x+11) elect the correct choice below and, if necessary, fill in…

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Q: Consider the following. 8n 77 Calculate, to four decimal places, the first ten terms of the sequence…

A: The sequence is given by :-

Q: 1 3 2 1 a To find the blue shaded area above, we would calculate: ·b [ f(x) dx = area Where: f(x) =…

A: The given graph

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Q: A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see…

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Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

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Q: h(x) = 4x x² + 6x + 8

A: h(x)=4xx2+6x+8

Q: Let f(x) = 5 − 3x²2 and g(x) = x + 5. Compute the following. (a) (fog)(x) (b) (c) (e) (fog)(-1)…

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Q: 1. If y2 = 10x, then A. - 5 2xy 1 C. -2232 2x d² y dx2 = B. D. - 1 5x 2y 5xy 2

A: Given,

Q: Find all critical numbers c of f(t) = 3t²/³ +t5/³.

A: f(t)=3t2/3+t5/3

Q: Given that (fog)(x)=x-8, which are correct rules for f(x) and g(x) that result in this composite…

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Q: Find the domain of the function f(x, y) = ln(x² + y² - 9) + √-y.

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Q: Indicate whether the graph specifies a function. 10 15 10 O The graph does specify a function. The…

A: to identify that the given graph shows a function or not.