5 b [₁² (²x - 7)²¹ dx = [²) vhere = 2x-7 du = 2 7 = -5 = 3 f(u) = 1/10 f(u) du The value of the original integral is 336.8 (enter a function of x) dx (enter a function of x) (enter a number) (enter a number) (enter a function of u).

Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: 0, t 3 (수 + 무),. Oble so ( + ) - e*(; + }) -3s –e -3s d) None of these 3s е s2

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Q: Evaluale the pecewise dchned tunchonat Values if -14 x 1 if x>1. flx)

A: Given

Q: 3) Given that f(x) = 3x + 7 g(x) = 4x + 5 and h(x) = 3x – 5 3 2x Find:- iv) hof(x) v) h'(x) =

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Q: In Exercises 51–60, show that f(g(x)) = x and g(f(x)) = x. x – 1 51. F(x) = 2x + 1, g(x) %3D 53.…

A: 57. Consider the functions: fx=4x2-9……1gx=x+92……2 for x≥0.

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A: Calculate the first derivative of the function fx. f'x=3x2-12x+5

Q: 1. f(x) = ax2 + bx +c = ? y %3D y = f(x) A) 3x2 B) 2x2 + 1 C) 4x2 - 1 D) x2 + 2x E) 2x2 - x +1 3.

A: By the graph can say that the value of the function at x=0 is 1 and at x=1 the value is 3. that is…

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Q: Using Theorem 3, find f(t) if L(F) equals: s + 10 ? – s – 2

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Q: Ex 3. Find the local extrema points for the functions in the previous example. a) f(x)= 2x³ +3x?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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Q: Secondary Topic 1. Let g(r) = 2" + 3". Find (g-1)'(5).

A: y=2ˣ+3ˣ y'=2ˣ ln(2)+3ˣ ln(3) (g⁻¹)'(x)=1/[2ˣ ln(2)+3ˣ ln(3)] (g⁻¹)'(5)=1/[2⁵ ln(2)+3⁵ ln(3)]…

Q: 11. (x-y)2+ 3z 12. 4х - 2у 6z for x = 9, y = -3 and z = 7

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Q: 3s 4) F (s) = s2+2s-8

A: Note:-     as per our guidelines we are supposed to answer only one question. Kindly repost other…

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A: Topic:- function

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A:

Q: Given f(x, y) = = fa(2,3)= fy(2, 3) = 6x² − 5xy² + y³, find the following numerical values: -

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Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: 20.) Differentiate. f(x) = +3 -2

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Q: D, 0] are adjacent extrem ading DES

A: Given as, 127 ,67T and 0,0T.

Q: x4 5 7) f(x) = In Differentiate. 10) y = 7X

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Q: Let f(x) = -8x². a) Find f(x + h): b) Find f(x + h) – S(x): c) Find x+h)-S(x). d) Find f'(x):

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Q: 6. Simplify the follow (1) D-A B C+.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…