For the given function f(x), the point c, and a positive number e, find L= lim f(x). Then find a number 8>0 such that for all x, 0.

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

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Q: How would you define f(6) in order to make f continuous at 6? f(x) = x²-3x-18 x-6

A: The given function fx=x2-3x-18x-6 we have to find the value of f6, so that f is continuous at x=6

Q: 4. y = A + Bx + Cx² + 2x³

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Q: Problem 2. Find [3te²¹ dt

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Q: The rate at which the total average number of COVID cases is increasing at x=20 tents and dx/dt=2…

A: The given area is 21,600 square meter. One third of the area will be used to plant mango tree. The…

Q: 41. Show that f(x) = 3√x is continuous at x = 0 but not dif- ferentiable at x = 0. Sketch the graph…

A: NOTE: Refresh your page if you can't see any equations. . take x=0

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

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Q: QUESTION: 2. (3D — 1)y = 6e³x ANSWER: 2. y = ₁₂ex/3 + = 4 ³3: e³x

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Q: 9. Find the first four non-zero terms of the Taylor series for f(x) = - centered at %3D

A: We have fx=1x The Taylor series for fx centered at x=a is given by:…

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Q: Solve (d) (z-y)y' + 3y - 5x = 0. I need a clear answer by hand, not by keyboard | dybala

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Q: The graph below is the function f(x) -5-4-3-2 Find lim #111 Find lim #111 Find lim x-1 3 2 1 ON B…

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Q: x4+5x+6 x-2x4+5x-6 lim

A: The given limit is a divergent and it does not exists

Q: OMSDAY SITUATION The population of of rabbits introduced onto an isolated island is giv- P(t) = 72…

A: Given population of rabbits P(t)=729-t 0≤t<9 where 't' is measured in months.

Q: 20. lim 1-1√1 21/2+38-5

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Q: I.B. Sketch the graph of a function f satisfying ALL the given conditions. ● • f(-4)= -2 ● The…

A: Information                                             Graphical interpretation

Q: 1.) An= (n +-4: give the first s terms. 2.) An = 48 26 ; insert 5 terms. 3. Ah = {-13, -6, 1,8,...}…

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Q: What is the center (h,k) and radius of the cirlce: x2+y2-6x+4y=12

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Q: Find where y is defined as a function of x implicitly by the equation below. y³ + 2x²y5 = 1 O Select…

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Q: Question 5 of 14 > Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 SEP 19 y f'(2.5) = 1 2 3 4 5 6 789…

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Q: You are given that lim f(x) = −5, lim g(x) = 5, and lim h(x) = 4. x→a x→a x→a Find the limit lim [h²…

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Q: Identify and sketch the domain of f(x,y) = √4x²-y In x

A: We know, The function ln x defined for x≥0 The function x-a is defined for x≥a

Q: 2. Find lim (3x° + V9x6 − 2x3) 第→○ 2

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Q: The number N of US cellular phone subscribers (in millions) by year (t) is shown in the table.…

A: As per guidelines we can solve only one question at a time and maximum three subpart at a time, so…

Q: (b) Find an equation of the tangent line to the curve at P(2,-4). (a) The slope of the curve at…

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Q: Given: f(p) = 2 Choices: (2p+3; p1 Evaluate lim f(p). P-2 a. b. 5 7-2p Limit does not exist c. 2 d.…

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Q: and the axis of the parabola.   ​f(x)=−​(x+3​)2       Question content area bottom left Part 1 The…

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Q: and the 1st derivative of x³ + y³ - 6xy = 0

A: Topic: - application of derivatives

Q: -5 -5-4-3-2-1 5 45

A: Need to write down the value of f(1) from the graph of the given function.

Q: Find d'y If y = x (05 (8x) - Sin²(x) dx ² 2

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Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) (ii) (1)…

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Q: Evaluate lim x−2+ 2x + x x² + x - 2 2x + x→-2- x² + x and lim T X 2

A: limx→-2+2x+2-xx2+x-2 -2+ means just after -2 like x=-1.99999…

Q: 3. By y = definition, find the derivative 2x 3x + 4

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Q: Find the average rate of change of the function over the given interval. R(0)=√40+1; [0,12] AR ΔΘ 11…

A: NOTE: Refresh your page if you can't see any equations. . take

Q: (D³ – D² – 6D)y = 12x − 2 + 5e³x – 18 sin(3x) - -

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Q: Consider the function Which of the following gives the percentage rate of change P? Select the…

A: We can find the answer as below.

Q: Find lim (3x³ + √9x6 − 2x³ ) 8118

A: Make the substitution x = -x

Q: A person places Php 85,000 in a savings account which pays 13 percent interest per annum, compounded…

A: The formula for continuous compound interest formula is given by A=Pert where, A= final amount at…

Q: ind a value of h for which 3.0 2.5 h = o in y 2.0 1.5 1.0+ 0.5 f(2+h)-f(2) h 0.5 1.0 Give your…

A: Given Graph:-

Q: Identify and sketch the domain of f(x, y) = √4-x²-y In x

A: Given function : f(x,y)=4−x2−ylnx

Q: lim [[ 2-y]] + x2 z-k+zk _2-4h (!) Y→-2+ _zy + [[2-y]] y² +y-2

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Q: Let f(x)={x^2+2x-1 Evaluate f (-3) and f(5) if x 0 Graph the function:

A: The given function is as follows: fx=x2+2x-1 To evaluate f-3, substitute x=-3 in fx and to evaluate…

Q: Q4/ A. Solve the set of equations by using matrix method (2x₁ - 3x₂ + 8x₂ = 6), (x₂ + 7x₂=-4),…

A: A detailed solution is given below.

Q: dy dx = 4x+xy² y-x²y

A: Topic:- differential equations

Q: Graph the parabola and find its vertex and the axis of the parabola.   ​f(x)=​(x−2​)2       Question…

A: Topic: parabola

Q: = Let the graph of a piecewise-defined function f, from x x = 6, be the figure below. Evaluate So…

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Q: following limits, if they exist. lim (x,y) →(0;0) x³ + x²y + 2y³ x² + y² ;

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Q: 3. f(x) = tan(sin x²) 4. y = log2 (5x³− x² + 1)

A: Given functions are  a. fx=tansinx2b. y=log35x3-x2+1 We have to differentiate both of them.

Q: Question Find the tangential component of acceleration for a moving particle if its position…

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Q: Ok, but how do you find Fxy = 0? I do not understand how we recieve Fxy?

A: Given function:- fx,y=x2+y2-2y