Find the derivative of the following in terms of x and then find the tangent line at x = √3. y = sin(arctan x)

Q: True O False dy [ƒ (x)] dx = d [f(x)] dx

A: To find whether the following statement is True or False. dydxfx=d[fx]dx

Q: Question 12 Given point P(1, 2, 3) and Q(2, 3,-1). Find the vector projection of Rop and Rog A.…

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Q: Given f(1) = 4, f'(1) = 7, if g(x) = 4x(f(x) - 2)² then g'(1) =

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Q: On which of the following intervals can the domain of y function will be defined? 0 10,1 O [T, 2π] O…

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Q: Consider the following. y 2- directrix 1.5- 1- 0.5 -0.5- Find an equation of the parabola. Find the…

A: Parabola

Q: Convert the equation r= -14 sin 0 to Cartesian coordinates. Describe the resulting curve. Choose the…

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Q: 2. For the following telescoping series find a formula for the nth term of the sequ evaluate lim S₁…

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Q: A cable will be installed from a farmhouse to a series of telephone poles. Part of the cable will be…

A: Given  M1 =400 M2 =900 Total Cost  = The cost of installing along the length D + The cost of…

Q: the demand for a product is $14 and the total costs are C(x)=0.2x2+6.4x+2. What is the maximum value…

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Q: Volume generated by x² = 4y, y = 0, x = 4 and rotated with respect to the y axis.

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Q: The Union Pacific's Big Boy locomotive could pull 6000-ton trains with a tractive effort (pull) of…

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Q: Use the definition of a Maclaurin series to find the first four nonzero terms of the series for f(x)…

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Q: vector a(t) = (cost, sint) with compone varies, the components of a(t) change as vectors a(0) and…

A: given vector  a(t)=<cost , sint >(a)  put   t = 0 then   a(0)=< cos(0) , sin(0)>= < 1…

Q: What is ? O-1/x O 1/x d dx (In x) loge X ex

A: we need to find the derivative.

Q: What is [cs csc x cotx tan(csc x) dx?? O In cos a C + O None of these. O ln sec(csc x)| + C O ln cos…

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Q: 4 n=1 What is the expansion of the series 4+1?

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Q: 17x 9 + 14x5-6x³

A: The given equation is; 17x9+14x5-6x3

Q: Supply the missing constant, k, so that the resulting trinomial is a perfect square. Then factor the…

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Q: Find the critical point of the function f(x, y) = -2 - 7x - 8x² + 4y + y² This critical point is a:…

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Q: -7 -6 -5 -4 4 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6

A: To find the rang by the given graph.

Q: A graphing calculator is recommended. An oil refinery is located 1 km north of the north bank of a…

A: Let point PP be located 6 - x9−x km from the oil refinery (see diagram ).     Then the cost of…

Q: Question 22 Integrate: 7 x² +4² -da Question Help: Video Submit Question V > Jump to Answer

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Q: Refer to the graph of y = f(a) with secant line PQ and tangent line PS. O PQ O PR O QR OQS OOO…

A: By the definition of dy  dy = f(x+ ∇ x) - f(x)

Q: 1) Determine the solution of the differential equation dy x +y = r² + r da

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Q: Graphs of implicit equations between and True X do not necessarily represent functions. O False Y

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Q: Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1…

A: Solve the following

Q: For the given cost function C(x) = 40000 + 300x + x² find: a) The cost at the production level 1650…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The function f(x) Cưn 8 f(x) = Σ n=0 C4= Find the specified coefficients in the power series. C2 =…

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Q: If f(8) = 2, write an ordered pair that must be on the graph of y f(x - 11) + 4.

A: Given data, f8=2 and y=x-11+4

Q: Find the sum of the series: Check Answer ∞ n=0 (-1)" 25-3 n!

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Convert the following equation for a hyperbola into standard form, and graph it below using the…

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Q: Find the radius of convergence, R, of the series. R = 1 n=1 2n - 1 Find the interval, I, of…

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Q: If f(x) = x² and g(x) = 0 (6³-a³) O None of these. O2(6²-a²) 026-2a 06² q² what is g(x)da?

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Q: Which means the same as arctan ? Circle all that apply. cotan x 1 tan x -1 (tan x)-¹ tan¯¹(x) tan…

A: arctan x is the inverse of the trigonometric function tan x

Q: Question 17 Integrate T Answer = 15(3x + 1)^dx Question Help: Video Submit Question Jump to Answer

A: Explained below

Q: Assume x > 0. Use logarithmic differentiation to find dx None of these. In(x) O (√)(*) In (2) 2x O…

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Q: Find 4 √₂ (4aº + 3a³) da -2

A: Given integral:- ∫-244x6+3x5dx

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Q: Evaluate the indicated integrals if b is a positive real number constant. A. Stan (2) da B. So √6-2…

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Q: can you please explain further what is being said I do not understand

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Q: A jet plane flies at a high speed of 400 m/s at the altitude of 1000 meters. A camera crew on the…

A: Given A jet plane flies at a speed of 400m/s at an altitude of 1000 meters.A camera crew on the…

Q: Evaluate the following integrals. Do not use formulas from the Integration Tables (section 7.6) (a)…

A: We have given to find integral  I= ∫tanx·sec3x dx Let, secx=t secx.tanx dx=dt I=∫t2 dt I=t2+12+1+C…

Q: a) Show how to find an expression for cn = f(n) (x) if f(x) = ln x. b) Use this expression to write…

A: Given that f(x)=lnx. In order to find the expressioncn =fn(x) Differentiate the given function with…

Q: Use implicit differentiation to find sin(x²)+cos (y²) = 1 Possible Answers: dy dr dy dr = dy…

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Q: (-3,0) <++++ -10-9-8-7-6- -4-3-2-1 9 Provide your answer below: a 9 00 7 6+ 5+ 3+ 2- 1 -1 3₂ -3- in…

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Q: 13. Find ƒ. (1)ƒ'(x)=x² + 3√x (2) f(t)=2cost+sec²t,-/2 <t</2,ƒ(π/3)=4; (3)ƒ*(x) = 6x+sinx.

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Q: Refer to the graph of y = f (x) with secant line PQ and tangent line PS. QR RS OQS O PQ f(x+Ax) O PR…

A: Please see the below answer.

Q: x3 y 0 Jo exdydx

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Q: 9 Write the Taylor Series for f(x) = sin(x) at x = 12/12/2 as & Cn (x-7) n Find the first 5…

A: Taylor serues

Q: If 6 what is H (x) = f(g(x)) H'(x) H'(x) = f'(x) g'(x) (x') H'(x) = f'(g(x)) None of these H'(x) =…

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