A. Determine the derivative of the following using the Four-Step Rule 1. f (x) = 5x – 4

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A: This question is based on differentiating equation both side with respect to x.

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Q: sin x + 10(csc x)² dx

A: To compute: ∫(sin x+10(csc x)2)dx

Q: Determine the derivative of the ff. functions 1. y = 100 cos 3x 7. y = 8x³ sin (1 - 5x)

A: topic - derivative of a function note : As per bartleby guidelines we are supposed to answer only fi...

Q: 83. The acceleration of a particle moving along the x-axis is given by a(t) = (t- 8)sin t for 0 <IS ...

A: we know a(t)=d(v(t))dt where a(t) is the acceleration, v(t) is velocity and t is time. The particle ...

Q: Question Find the equation of the tangent line to f- at the point P (-1, 1) for f(x) = -- 2x- 1 Prov...

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) = 4...

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Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y², and the plan...

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Q: 1+cos0 lim 0→0- sin@

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x) b) Find...

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Q: f(x)=5sin(x)cos(x)on(−π,π)f(x)=5sin(x)cos(x)on(−π,π) a) Find the critical numbers of ff.  (Separate ...

A: Solution is written in below steps.

Q: What Mclaurin Series this function represents: En=1(-1)n+1 =" = ¤ n 3 O a. In(1+x) b. cosx c. sinx O...

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Q: This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter spha...

A: A)n(t)=n0 2taAt t=0,n(0)=1515=n0 20n0 = 15The bacteria doubles every four hours;At t=4 hours, 2(15) ...

Q: A particle moves along the x-axis so that at time t 0 its position is given by a(t)= t° – t² - 5t. D...

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Q: for the indicated integral, what would the first step be? sin't dt, Vcost Save a sine and convert th...

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Q: (2 cos 3w – sec 3w tan 3w)dw

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Q: 2. Matching type: Match the functions in Column A with their corresponding antideriva- tives in Colu...

A: so in column A is given the derivative of column B so we derivate the column B a F(x) = 3x3 - x now ...

Q: Find the directional deriva tive OF the Function at the point P (!,) in the dlinection V= -i

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Q: Find the remainder if F(x)=6x^3+49x^2+90x+56 is divided by 3x-3

A: F(x)=6x3+49x2+90x+56 Since 3x-3 is linearwhere 3x-3=0⇒3x=3⇒x=1 Remainder of F(x) when divided by 3x-...

Q: ř(-1)"+12nx" n2 + 3 Determine the interval of convergence of n=1

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Q: y' + 3y = 5e2x – 6; y(0) = 2

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: By the fests. 2. a³y = x²(2a² – x²)

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Q: INTEGRATE THE FOLLOWING (use integration techniques) -2y dy 2. Sy'e-24 dy

A: topic- indefinite integral

Q: Σ cot n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer.

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Q: yi + yi = 1, when x = 0, y = 4 %3D

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Q: Given the function f(x) = 2x +36x² – 78x, determine all intervals on which f is both increasing and ...

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Q: b. (2,1)

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Q: 8. Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simpli...

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Q: Evaluate the integral by changing to cylindrical coordinates. V16 - x 2 16 - x2 - y2 4 x² + y² dz dy...

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Q: Shaw Abooraically that Fand 6 ace.ivee F)=-3x2+5,X20 gW=D5-x 3. theN explain why a restriction was p...

A: if we have to find inverse of function then interchange the x to y and we get f-1x.if y=fxx→yx=fyy=f...

Q: If (an)? – (an-1)(an+1) = (-2)" for n>1 and ao = a1= 1 then az = a ) 0 b) 5 c)-3 d) 1 e) none a b. o...

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Q: If lim an # 0, then the sequence {a,} is divergent. n+0 O True False

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Q: If x? + y? = 100 and dy = 8, find dt - when y = 6. (Enter your answers as a comma-separated list.) d...

A: Given query is to find the indicated derivative.

Q: Find (f-1)'(a) for f(x) = 4 – 4x when a = 12. %3D Enter an exact answer. Provide your answer below: ...

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Q: 5. y- Br*-+습

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Q: Using f(x) = In(3 – 2x), list the Maclaurin series expansion (e.g., f(O)x, f(1)x, f(2)x,f(m)x and f(...

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Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

Q: 3. Determine the set of points at which the function is continuous. (a) F(x, y) = V1+x – y (b) G(x,y...

A: To find the sets where the function is continous. Note that, the function is continuous on a set whe...

Q: Solve the differential equation by using integrating factors. y' = 6y + 5 y(x) =

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Q: Question 3 If f(x)=cos x, then f"(x)= O cos X

A: f(x)=cosx,f'(x)=ddxcosx=-sinxf''(x)=ddx-sinx          =-ddxsinx          =-cosx  

Q: Give the Maclaurin series expansion of f(x) = ln(3-2x). Determine its interval of convergence.

A: To determine the interval of convergence

Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 2 2 6, - 2...

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Q: 12 + csc 0[sin 0 + csc 0]d0

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Q: Evaluate the integral by changing to cylindrical coordinates. V 16 - x2 16 - x2 - y2 x² + y? dz dy d...

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Q: 2.) State one of the two formulas for finding the derivative of a function f(x) that uses limits. Us...

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