F of the given function Find the dipperential

Q: Consider the sequence x + 3,x + 7,4x − 2,............. If the sequence is geometric, find x and then...

A: Given, the sequence x+3,x+7,4x-2,...... If the sequence is geometric, then find x and determine each...

Q: Calculus Question

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Q: 5

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Q: Determine whether the equation defines y as a function of x. ; y = x3

A: Given: y=x3 To Determine: Whether the given equation defines y as a function of x.

Q: Q8:- Find the limit of the following functions:- x² – 2xy + y² (1) Lim (х,у) > (0,0)( X#y ху — у- 2х...

A: We have to find the limit of the following function

Q: ² - 1 Are the functions f(x) = x - 1 and g(x) the x + 1 %3D same? Explain.

A: Given that : The functions f(x) = x - 1 and g(x) =x2 -1x+1 .  

Q: H. VV 1. Find the arc length of the curve x = (y? + 2)3/2 from y=0 to y=1

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Q: Convert the given value to an equation in rectangular coordinates.r = sin θ

A: we have to convert the given value to an equation in rectangular coordinates.r = sin θ

Q: Find the equation of the tangent line to the function f(x) = 2a? form y = mx + b. x at the point whe...

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r u...

A: Production of chemical Z is given by: z=90 p0.8 r0.2 Cost of chemical P is $ 400 a unit Cost of chem...

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = t   4 −...

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Q: Let h(x) = f(g(x)). If ƒ(-4) = –3, f' (-4) = –1, g(1) = -4, and g'(1) = 3, find h' (1).

A: We know that chain rule for differentiation is given by  dfaxdx=dfaxdx.daxdx=f'ax.a=af'ax  

Q: Find the line that passes through the point P(1,2) and the point of intersection of two the lines L1...

A: Given : P1,2L1 : x+2y = 3L2 : 2x-3y = -1

Q: Electricity In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacit...

A: Given : Instantaneous charge Q is given by equation Qt =CV1-e-tRC Where C, V, and R are constants. I...

Q: Determine whether the integral is convergent or divergent.

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Q: Write the equation of the line shown. Be sure to use the correct variable.Equation:

A: Answer and explanation is given below...

Q: The domain of the function f (x) = x/x - 2 consists of all x ∙ 2.

A: We have to find domain of the function fx=xx-2 We can see this function is defined for all real numb...

Q: Convert the points (r, θ ) = (1, π/6), (3, 5π/4) from polar to rectangular coordinates.

A: Consider the given: r,θ=1,π6So, In rectangular coordinates:x,y=rcosθ,rsinθx,y=1cosπ6,1sinπ6x,y=32,12...

Q: Q3 Find dyldx on the graph y sec/x2 + y = cos2x at point (1, 2).

A: The given function is: y3 secx2+y2=cos(2x)

Q: Calculus Question

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: The midpoint of ABAB is at (−4,5)(-4,5). If A=(−8,−4)A=(-8,-4), find BB.B is: (_____), (_____)   Wri...

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Q: MY NOTES PRACTICE ANOTHER Marginal Profit for Producing Loudspeakers Acrosonic's production, departm...

A: Profit is difference of revenue and total cost and marginal profit is derivative of profit function.

Q: 1. Does the parabola open up or down? O UpO Down 2. Vertex (x, y) = 3. y-intercept (x, y) = %3D 4. E...

A: Given that : The equation of the parabola in standard form is f(x) = - x2 + 6x -8 .  

Q: Problem. 9: Use Euler's method with n = 4 and n = 6 to obtain approximations to the solution of the ...

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Q: True or False The point 1 - 2, - 62 is on the graph of theequation x = 2y - 2.

A: The given point is 1,-2 The equation of the graph is given as, x=2y-2 A point is on the graph of an ...

Q: Find the slope and the equation of the tangent line to the graph of the function f at the specified ...

A: The slope of tangent the curve of a function is given by the derivative of the function at that poin...

Q: a) [(5x4 + 3x² + 2x + 4)dx b) [(Vx² + 7x)dx

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Q: How many x-intercepts can the graph of a function have? How many y-intercepts can the graph of a fun...

A: An x-intercept of a graph is a point where the graph crosses the x-axis. An x-intercept occurs at a ...

Q: Find the derivative of the function. y=x5 7 3x7 O y'=- 2x3.7 O Y'33 O Y'=. 2x3.7 O Y'=. 3x7 + 5x4 V,...

A: Given, y=x5x3+7

Q: rginal Average Cost for Producing Thermometers The management of ThermoMaster Company, whose Mexican...

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Q: What does the limit notation lim f(x) = L mean?

A: Given, limx→af(x)=L

Q: State the asymptote:

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Q: Q/ Solve the following inequality. Write your answer as an interval or union of intervals. Show the ...

A: Take the 2 cases and solve for x than take the intersection of them.

Q: dy Find dx for the following function. y = 7 sin x+5 cos x

A: on differentiation with respect to x we get

Q: The lower edge of a 4 foot tall painting is 1 feet above your eye level (see picture below for the i...

A: Use the following diagram find the distance should you stand from the wall so you viewing angle of t...

Q: Find the derivative of function defined as follows.

A: we have to find the derivative of the given function . y=2x7-8x

Q: Build a Taylor series approximation from scratch for f(x) = ln(x2) centered at 2 -  I  understand ho...

A: Taylor series approximation for given function 

Q: Q2. Let f:R-R be a function such that f(x) = x sin -) has a limit at x, + 0. If f is defined at x, ,...

A: Topic- Limits 

Q: Find the minimum cost of a rectangular box of volume 140 cm³ whose top and bottom cost 2 cents per c...

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Q: In Exercises 27-30, find the differential. 27. d(Vī-x) 28. d(e* + x) 29. d(arctan 4x) 30. d(8" + x)

A: 27. d1-x2 Ans.  ddx1-x2 =ddx(1-x2)12                         =  121-x212-1× ddx(1-x2)               ...

Q: A rotating light is located 10 feet from a wall. The light completes one rotation every 4 seconds. F...

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Q: I don't understand how to solve this problem. A step by step would help me.

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Q: Calculus Question

A: If there is a question that has more than 1 question and questions other than the first has subparts...

Q: Problem. 8: Use Euler's method with n = 4 and n = 6 to obtain approximations to the solution of the ...

A: In the question it is asked to solve the differential equation y'=6xy, using Euler's method. (a) Sol...

Q: メナメー2 メーメ2

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Q: 2²+5z+8 Determine g'(x) if g(x) = ln 13+5z+8' Select the correct answer below: 2z-5 3z2-5 g'(x) = 12...

A: We have to find the derivative of following expression

Q: Find the domain for each of the following functions. Present your answer in interval form. Use exact...

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Q: Find the equation of the tangent line to the graph of the given function at the point with the indic...

A: The given function is: f(x)=x3  Given point is: x = -2 f(-2) = -8

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. 4 a, = sin...

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Q: Find the area of the region bounded by the graph of the polar equation that lies in the specified se...

A: Consider the polar equation. r=e-θ6  The objective of the problem is to find the area of the region ...