2) a) The graphs below are polynomials with leadin Write the completed factor form of each grap 100- 50 --100-

Q: Find a function that satisfies the given conditions and sketch its graph. 40) lim f(x) = 0, lim f(x)…

A: Solution: 40) limx→±∞f(x) =0 , limx→1-f(x)=∞, limx→1+f(x)=∞   Check each condition

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Q: For f(x) = 10/x and g(x) = 10/x, find the following function (gof)(2)

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: Let's solve given differential equation.

Q: find scalars c1, c2, and c3 for which the equation is satisfied. 19. c1(1, −1, 0) + c2(3, 2,…

A: Given,  c1(1, −1, 0) + c2(3, 2, 1) + c3(0, 1, 4) = (−1, 1, 19) That is  C1(i-j) + C2(3i+2j+k) +…

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Q: (D³ + 4D² +9D + 10)y=-24e* when x = 0, y = 0, y'= -4, y" = -10 ANSWER: y=e-2x + excos cos (2x) - sin…

A: The given differential equation is; (D3+4D2+9D+10)y=-24e-x When x=0, y=0, y'=-4, y''=-10.

Q: Consider the following differential equation. - + 6y = (x + 3)² (x) = (x². - 9) dy Find the…

A: Note:- According to the company policy we have to attempt only three subparts of a question so…

Q: Linear Programming: Graphical Method Formulate the LP problem, which includes the objective function…

A: Given:  T=number of tables manufactoredC=number of chairs manufactored4hrs=Time taken to manufacture…

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Q: 8. y-³ = x³ (3ex + c); xy' + y + x¹y¹ex = 0

A: y-3=x33ex+c

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A: Given the graph of f(x) on [0,1].  We have to draw graph of asked on [-3,3] a.) f(x) has period T =…

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A: Given , log525x3y7

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A: Given, F(x)=∫0x53+etdt Aim: Find F'(x)   By First Fundamental Theorem of Calculus if…

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A: Given, 4 cos x sin y=1

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Q: mat is the rocket initial velocity at t=0? -16t+102 d the velocity after t = 3 seconds. d the…

A: Topic:- function and it's derivatives

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Q: Find the solution of the differential equation (1 + y²)dx + (1 + x²)dy = 0

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Q: The total cost (in dollars) of producing x food processors is C(x) = 2100 + 50x -0.1x². (A) Find the…

A: We have given total cost Cx=2100+50x-0·1x2 (a) When 31st food processor is produced  Put x=31…

Q: At what points is the following function continuous? f(x) = x-3x-4 X-4 5, 1 x #4 x = 4 The function…

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Q: Given In 20.69 and In 13=2 56, find In (26). Do not use a calculator

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Q: which answer exactly would i enter in the bo

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Q: Question 4x5 -1.² 2 If F(x) = 2 In (†²) dt, what is F! (x)? (Do not include "F'(x) =" in your…

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Q: dy For exercises 1, 2, and 3, find using implicit differentiation: dx 1. Prove (arccosx) = V d dx -1…

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A: Topic- Limits and continuity we are given, graph of a function. we know that limit at a point x=a…

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Q: Solve the given differential equation. dy = 6x 5sec y dx (A) y = sin (x6 + C) B) y = x + C c) y =…

A: We use variable separable method to solve the given differential equation.

Q: Solve the differential equation. dy + 5y dx = e -5x dx A) y = e5x (x + c) B) y = e-5x (x + c) (c) y…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Find the derivative of the function using the chain rule  *please use handwriting not typing. i…

A: Let's find differentiation of given function.

Q: 2 √ūdu = ²√ūd 2² √ua Making the substitution u = =x2-1 in the integral 2 [₁² x √x² - 1 da [²√ Select…

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Q: 2. Determine a power series for the function f(x)=8/2x-5 centered at c=-2

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: Topic-Limits We are given,f(x)=9-3xifx<3x2-xifx≥3Limit exists at x=c if limx→c-f(x)=limx→c+f(x)if…

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Q: Use the four-step process to find r'(x) and then find r'(1), r'(2), and r'(3). r(x)=8-2x² r'(x) =

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Q: Let f(x) = 3x + 9 and g(x) = sqrt(4 - x2), Find the functions listed below and determine their…

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A: Your monthly profit in dollars from selling magazines is given by p=2x+xwhere x is the number of…

Q: Determine the point(s) at which the given function f(x) is continuous. 9. x-9 f(x)= -2x Describe the…

A: We can find the answer in the below steps.

Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 1. 2. 3. x²-25 lim 10 x²4x-5 x²-25 lim z+5 x² - 4x-5…

A: 1. Given limit  limx→0x2−25x2−4x−5 The graph of the function is given below : Here, we can see that…

Q: 2 Y = x ²² - K² K is a constant X² + K² K is

A: Topic- derivative of a function we are given y=x2-k2x2+k2and we know thatddxuv=vu'-uv'v2ddxxn=nxn-1

Q: -6-5-4 3-2, in 00 Pe 6 5 - on 3 2 T O -1 -2 -3 -5 fi 6 -7 1 6 7

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Q: Radium decomposes at a rate proportional to the quantity of radium present. Suppose that it is found…

A: We need to find the half-life of radium.

Q: Find the curvature of the curve r(t) = ( − 5 + t, 1 − 4t, 4+2t) at the point t = 4. Give your answer…

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