1. 9, 5. f(x) =-2x² +1 -3 -2- -5 -4 -3 -2 -1 1 -1 -2 -3 -4 -5 -6 -7

Q: 1 x, and the line perpendicular to 6 Find the area of a triangle bounded by the y axis, the line f…

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Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

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Q: (-х+а, х < —1 If f(x) = {x² + 5, –1 < x < 2 is continuous then х — b, х 2 2 a + b =?

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Q: If f(x) 3 (5х — 3)1/3, find f-1(x) | 3 x3 f-(x) = 5 3 f-'(x) = 3 А. C. = --- 3 C. f-'(x) = 5 3 f-"…

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Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

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Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

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Q: Estimate f (2.1, 3.8) assuming that f(2, 4) = 5, fx(2, 4) = 0.3, f y(2, 4) = -0.2

A: Given : f2,4=5.fx2,4=0.3 , fy=2,4-0.2The linear approximation is :Lx,y=f2,4+fx2,4x-2+fy2,4y-4Now,…

Q: 1 Is the function given by f(x)= 3x+2, for x ≤ 3, 4x-7, for x>3, continuous at x = 3? Why or why…

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Q: find the extreme values on the interval f (x) = x(10 − x), [−1, 3]

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Q: For what value of the constant c is the function f continuous on (-∞, 00)? cx2 + 2x if x 2.

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Q: Suppose that y is a function of x. Find if 2x°y 3 2y + 5. - -

A: We will find out the required value.

Q: 2. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Is the function given by f(x) = 3x - 2 continuous at x = 5?

Q: (b). Show whether (*) is continuous at *=-2, if (3x-2 for x = -2 S(x)=. x? - 4 х- 2 for x * -2

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Q: 4 ,5 Let f(x) = 7x* In(x) f'(x)

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Q: What is/are the critical values of the function (x) = 4 +x-x* ? 1士V73 x = 3 x = 3 O Option 1 O…

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Q: m ƒ (x) if f(x) = →0 x –1 |

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Q: where wage is measured in hourly wage and female is a dummy variable (1 if the person is female, and…

A: a) Formula for R2: R2=1-RSSSST    =1-SST-SSR148.33   =1-148.33-127.62148.33   =1-0.1396   =0.8604…

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

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Q: are

A: We will find the critical points.

Q: (3) Show that the function is discontinuous on the specified interval. Vx2 - 64 if x < -8 if -8 <x <…

A: Note: According our answering guidelines we have to answer only one question (if there are multiple…

Q: Here is the graph of the function h(x)on the interval (-5, 5), and part of a line tangent to h(x) at…

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Q: Find f(-3). -2 -4 www.analyzemath.com 1 O 2 Оз -1

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Q: 8 Describe the long run behavior of f(x) = x° – 5x* + 5æ° – 1 - - As x → - 0o, f(x) → ? As x → 0,…

A: Given  f(x) = x8-5x4+5x3-1 We have to find the end behavior of the function.

Q: For what value of the constant c is the function f continuous on (-∞, 0)? cx2 + 8x x3 - cx if x < 5…

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Q: For what value of the constant c is the function f continuous on (-∞, 0)? { cx2 + 5x if x 4

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Q: (9) F(<) = { —1, if - п <x<0 1, if 0sxп (h) f(x) — f -х, х, -1<x<0 0<x<1 if if

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Q: If the function is defined y=2x when x=3, is this function differentiable at x=3? Also, is this…

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Q: . Compute f(x) dx ƒ(x) = { 2x if x < 1 4 if x ≥ 1

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Q: 18. Suppose that a company produces and sells bicycles and that the start-up cost is $3000 and $75…

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Q: X = (1-_-_-_-)* 2 o then f(x) tend:

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Q: Find the derivative. 4х — 3 y = 7x + 9 7(4г — 3) — 4(7а +9) (7ӕ + 9)2 4(7ӕ + 9) + 7(4 — 3) (7а + 9)?…

A: We have to find the derivative

Q: B)Is w = Zez analytical function or not?

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Q: [4] 2. Find f'(x) using the limit definition of the derivative. Credit will not be given for any…

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Q: Is the function given by f(x) = 5X+6, for x s5, 5x-14, for x>5, continuous at x=5? Why or why not?

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Q: 1 If f(x, у, 2)- ôf then х— у—3z ду а. 1 (х- у-3-)2 b. -1 (х-у-3-)* С. 1 (х-у-3-)° d. 2 (х - у-3-)?

A: In Partial differentiation w.r.t y we treat x,z as constants.

Q: (1, if x 2

A: Using the given piece wise function, we can plot it in given intervals.

Q: Given that √3 27 = 3, use marginal analysis to estimate √3 30. Hint: f(x) = √3 x in this case.

A: The estimate of a function is given as follows. Lx=fa+f'ax-a Here the given function is fx=x3.…

Q: In( V5x – 3 )

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Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: Suppose f(æ) = |x| · x Then f-l(x) = if æ > 0, and f-'(x) = if x < 0.

A: given that fx= x.xfind f-1x for x≥0 and x≤0

Q: 8 — х — x2 if x 4 -

A: f(4-) = 8 - 4 - 16 = -12 f(4+) = 2*4 - 20 = -12 f(4) = 8 - 20 = -12

Q: Show that x+1/x is increasing on [1,∞]

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Q: + 2x if xs -1 if -1 1 f(-4), f(-}). (-1), f(0), f(25)

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Q: The rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1…

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Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

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Q: 5, what is f'(x)?

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Q: For what value of the constant c is the function f continuous on (-∞, 00) ? if x < 3 cx2 + 8x F(x) =…

A: To find: The value of c if function is continuous at -∞,∞. Given: The function is fx=cx2+8x   if…

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: What are the critical numbers of the function f(x)= 2x^(3)-2x^(2)-16x+1?

A: Let's find.