10 (e 5- h(x) -10 -5 f(x) -5 AS

Q: 5. f(x) =-2 x-1 6. f(x) = 2 7. f(x) = x² + 3

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Q: (x²-s)' 13. g(x) =- (구+ 4)"

A:

Q: A- TI x + 2 x² – 3x – 10 51. f(x) x + 2| 53. f(x) : x + 2 х, 55. f(x) : x, xs 1 [x², x > 1 %3D x +…

A:

Q: 4. f(x) = e5x² x1o f'(x) =

A: We have given fx=e5x2x10   Product rule for differentiation. ddxu·v=uddxv+vddxu Here, u=e5x2, v=x10…

Q: .22メ-3 when x=-3 G-メフナス

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Q: -343x x = -2 g(x) = { (x – 1)(x+ 2) x = -1 | a3 – 22 +1 , x + -2, –1 g(1) =

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Q: 22 -3x+2 Let h(x) = what is h' (-5)? -x2 -4x+4'

A: Given,          hx=x2-3x+2-x2-4x+4

Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: In Problems 63–70, (a) graph each function. (b) Determine the domain and the range of the function.…

A: Given function is: fx=x2-2x-15 The domain and range of this function f is ℝ, the set of all real…

Q: 10 g(x) 3 2 -10 -9 -8 -7 -6 A3 -2 -1 | ! 2 3456 78 9 10 f(x)

A:

Q: 11. f(x) = -6(0.7)* 12. f(x) = -4(3)*

A: 11) f(x)=-60.7x

Q: 4-3 520 F H X

A: apply cosine rule cos 52o = HF/FG HF = Cos 52o * FG HF = 0.61566 * 4.3 HF = 2.6

Q: 4 – x2 - X 3 (2х — k+h

A: For continuity, we must have the left-hand limit equal to the right-hand limit at x=2 and x=3 For…

Q: 6 9x f(x) =x° e

A:

Q: 24. Solve the problem. Зг. If f(x) : f (3) = 0, and f(-6) is undefined, what are the values of A and…

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Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: 60. f(x) = 3", g(x) = 3- + 2

A:

Q: 4) f(x): g(x) = - 3x

A: Given, f(x)=1x and transform the graph into g(x)=-13x

Q: x²-4 f(x) = In2-3x-4,

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Q: 4-x 10. f(x)=- x+1

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Q: 16) g(x) = 4x - 5 s(x) = x' + x² Find (g + f)(-2)

A: Given,      g(x)=4x-5      f(x)=x3+x2

Q: f(x) = x^2 - 12x + 35 g(x)= x -5 (f+g)(-4) = (f-g) (-5) =

A:

Q: 4. f(x)2-と x+ x2-2 5. f(x): Xー

A: Given: Notice that the first function is not defined at x=-2 and the second function is not defined…

Q: 14. If Ax) = X+3 and g(x) =x² + 5, what is f(g(4))? 2

A: We know that  (fog)(x) = f(g(x))

Q: 7. F(x) = (х - 2) 8. F(x) = (2x– 7) (x+4)

A: Find the first derivative of 7. Fx=xx-28.Fx=2x-7x+4

Q: 2 4x f(x) = * - 9 I + 2

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Q: 1 -(x-6)* +5 f(x) = - 2 1 g(x): =-x -4 4

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Q: 3. h(x) = -2x³ + 5x² + 4x° – 3x + 12x? - 4 !! f (x) f(x) →_ as x → -00 as x → +00

A: We have to find the limit of the given function.

Q: 1. f(x) = x², g(x) = 6-x 2. f(x) = x+ + 2x², 3. f(x) = 3+√√2x_g(x)=x-1 g(x) = 6x²

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: 15 + 3x 3) g(x) = 5 f(x) = -x – 5

A: Consider the given functions, gx=15+3x5fx=-x-5   Calculate gfx and fgx.…

Q: جر جدور المعادلة )و تكرارات ( f(x) = x- AX+3 )4ا,2]

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Q: X (2-x) 6(E-x) Htx

A: The solution is given below

Q: 51. f(x) = √2-3x²; f''(x)

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Q: 5 2 7 . If f(x) = 3 + 4x · 2* + r", what are f"(0) and f"(0)? 3!

A: Given f(x)=3+4x-52!x2+73!x3

Q: 26. f(x)=-3x +2x? – x+4 27. f(x)=x -8 28. f(x)=x -2x* – 3x° +x³ – x² +10x+2

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as…

Q: -8 2. If [g(x)dx =-4 and [g(x)dx =6 ,what is [g(x)dx ? 2 -8 А. 10 В. 2 С. —2 D. -10

A: Calculate the integral

Q: F(x) = 3x2 +4x -5 G(x) = 2x2-8 H(x) = -4x2 +5x-2       F(2) - H(-3)

A: Substitute the value of x for each function and find F(2) - H(-3). As F(x) is given, put x= 2 to…

Q: a) f(x) =e**+ 2x +5) 35 26 f(x) =In(x +10x + 6)

A: The detailed solution is given below Thank you

Q: 30 y = f(x)| 10 -4 -20

A:

Q: 1. f(x) = e² and g(x) = -e + 2.7

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 5x - 4 if - 5<x<3 If f(x) = find: (a) f(0), (b) f(1), (c) f(3), and (d) f(6). x° - 3 if 3<x<6

A: Given function is

Q: 5х + 4, x < 0 f(x) 5x + 8, х2о (а) f(-1) (b) f(0)

A: In this question we will use basic of algebra i.e finding vale of function at a point. we will…

Q: 5) f(x) = 7 - e-X 6) y = 5xeX - 5eX

A: our objective is to find the derivative given in question 5 and 6.

Q: = 4x + e6x, use the formula (f-1)'(x) to find (f-1)'(= f'(f-1(x)) (1) =

A:

Q: 1 and g(x)=x² +2, then go fmay be expressed as x-2 axa + 2ßx + ¥ χα + βχ - β If f(x)=- g(f(x)) = =…

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Q: Sx² +2, x 1' 7. If g(x) = then g'(1) is

A: x2+2 must be chosen since x in g'(x) is 1.

Q: 5. f(x) = -, -2 < xS 2

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: If (2)-3.f(2)-1, g(x)=1/x, and htx)-[fx)][g(x)], then what is h'(2)?

A: Given that h(x)=[f(x)][g(x)] So, using the product rule,  h'(x)= [f'(x)][g(x)] + [f(x)][g'(x)] Then…

Q: (fog)(-1) X f(x) g(x) -3 -2 11 -10 60 -4 -1 7 0 0 5 2 1 3 2 2 1 0 3 -1 -4 expre

A: Given Table:- x -3 -2 -1 0 1 2 3 f(x) 11 9 7 5 3 1 -1 g(x) -10 -4 0 2 2 0 -4   To find:-…

Q: 16. fi(x) = 0, f2(x) = x, f3(x) = e*

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: