Use the table to the right to find the given derivative. d. [xf(x)] dx x%3D5 d. dx xf(x)] x%35 [xf(x)] (Simplify your answer.) %3D II

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: 4 In estimating | cos(3x)dx using Trapezoidal - 1 and Simpson's rule with n = 6, we can estimate the...

A: Error bound of Trapezoidal rule and Simpson rule for integrating f(x)dx in [a,b] is, ET <maxf''(x...

Q: 3. lim cos X

A: Given: limx→0cos(x)   We know that; cos-θ=cosθ   Let, fx=cosx

Q: (1+cos a)(1-cos a) (1+cos a)(1–cos a) Which of the following is equivalent to for all values of a fo...

A: let x =1+cosα1-cosαsin3αwkt (a+b)(a-b) = a2-b2sin2α+cos2α = 1 (trignometric identity)

Q: Given cost and price (demand) functions C(q) = 100q + 44,700 and p(g) = - 1.9q + 850, what is the ma...

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  the revenue funct...

Q: Consider the function f(x, y, z) = ln(z² + 1) + yx². a) Find the gradient vector Vf(x, y, z). b) Wha...

A: To find out the gradient vector.

Q: sin20 cos e

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Q: tanxcosx = cos²x sinx secx

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Q: 10) du(3リ+3 4x + 5, 二 dx

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Q: A firm manufactures a product that sells for $20per unit we have a cost per unit is $12 and fixed co...

A: topic - functions

Q: Evaluate the limit of the function given the graph of the function. Considered the graph of Function...

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Q: Let f(x) = /1– x and g(x) = . Determine the following composition and its domain. g° g

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Q: 17. Evaluate S sec x (secx + tan x) dx a. tan x + sec x + C b. tan x - sec x + C c. - tan x + sec x ...

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

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Q: 3. Determine g'(1) for g(x) = (8x² – 3x)³. -

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given b...

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Q: Mark the critical points on the following graph. z'e ,0.1 0.9 0.8 0.7+ 0.6- 0.5 0.4 10.3 8.2 ON+

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Q: Integrate both sides dy `xdx

A: We have ∫dyey =∫xdx

Q: Find the equations of the tangent line and the normal line of the function at the given value of x. ...

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Q: 00 2k=1 gk2+3k –2

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Q: Determine the domain and range of the following function. х-1 g(x) = V16–x²

A: Given : g(x) = (x-1)0.5/(16-x2)0.5 To find : 1. Domain                 2. Range

Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5q + 6500. ...

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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: 1. y+ /x + y = 2x at ( 2, 2)

A: Follow the procedure given below.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x²V...

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Q: Given Cost and Revenue functions C(q) = q° - 10q + 54q + 5000 and R(q) = - 3q“ +2600q, what is the m...

A: We can find the marginal profit as below.

Q: sec 30°cos 60° =

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Q: Solve the following equation on (-o, co) 2 cos2 3x + sin3x = 1 %3D

A: Solve the equation 2cos23x+sin3x=1

Q: (D² +D-1)² y =0 ,when x = y = 0 , y' = y' = 1 , y" = -1

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Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x3 – 3x2 – 9x + 3 Find the ...

A: Topic = Derivative

Q: d) Let A, be the region between y = x² +9 and y 21-x. Let A, be the region between y = x² + x – 12 a...

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Q: The following illustration shows the graph of f'(x). On what interval(s) is f"(x) < 0? 4 2- -2 -2 a....

A: topic - functions and derivatives

Q: Here is a graph of the function f. 4+ -3+

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Q: sine cose tane= tane cos?e sin?e

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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: Help

A: Please refer to the image below

Q: 4.1 Finding Critical Numbers Q 17 (t): tJ4-t, t<3 tく glt): t(4-4) (t):そも(4-t)^):-(と(4ーと))=0 t(4-t) 5...

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Q: 4 xP x9-

A: We will find the value of intergral. If the value is finite then this improper integral would be con...

Q: Homogeneous Differential Equation: (r* +2xy– 4y° kdx– (x² – 8.xy – 4y dy = 0 Let: x = wy dx= wdy+ydw...

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Q: Simplify sec?g - tan?g + 1. 2 1

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Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 9. 13 17 | 21 2...

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Q: The population of a city is 150,000. The city declines continuously by 4% per year. If this trend co...

A: We have to find time in year when  the city will be losing 3400 people per year.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: For the given p-series, identify pand determine whether the series converges. k=1 = Therefore the se...

A: p-series Test : The p-series ∑k=1∞ 1kp converges if p&gt;1 and diverges if p≤1.

Q: A non-right triangle has the following three sides: b = 40.1, c = possible. 45.5, and a = 66.8. Find...

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: The position function of a particle is given below. s(t) = t3 + 3t2 - 6t, t 2 0 When does the partic...

A: Topic = Derivative t =1 sec

Q: Let f(x) = V /1 x and g(x) = 2 + x. (b) Evaluate the following. (i) (f – g) (1) (ii) (-) (2)

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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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Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(g) = - 3q + 2500q, what is the ma...

A: The cost function, C(q)=q3-11q2+51q+5000revenue function, R(q)=-3q2+2500q