If, y= Arcsin (√x) √(1-x) y'.p(x) +y.q(x)=1 11 find the value of: I= √p(x).q(x)dx=? 0 p,q are two polynomials...

Q: b) Find f(")(x) is f(x) =

A: The derived function is a function f  where f'(x) is the derivative of f at x, is the derived…

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A: We are entitled to solve only one question at a time and up to 3 subparts only. Given- Given the…

Q: Consider the following. f(x) = 2x/ 16 – x², [-4, 4]

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Q: 1. (a). Show that (1 · 1) + (0 ∙ 1 + 0) = 1. (b). Find the value of (1 + 1) .

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Q: Find the 200th deriunte of f(x) = Xe X-

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Q: 1.8 If f(x) = -7x – 6 and g(x) = -8x² – 4x + 3, find g(f(3)). a. 393 b. -177 С. -1857 d. -279

A: Here I am attaching image so that you understand each and every step. Given answer option "C" match…

Q: Calculate L6 for f(x) = √6x + 3 over [1,3].

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Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

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Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: (2,-4) (0,-6) Assuming that f(x) is of the form A. Ba, write an expression for f(x): f(x) = 0

A: Given f(x)=A.Bx The graph passes through two given points (0,-6),(2,-4). By substituting the…

Q: Write f(t) = 7e.8t in the form f(t) = Pob' and determine Po and b. (Give exact answers using…

A: given that  f(t) =7e1.8t  = 7(e1.8) t .......... (1)  and f(t) = Pobt............ (2)  Now on…

Q: Can you calculate f(0) for the function f(x) = 2π2?

A: Answer is  f(0)=2π^2. Explanation is given below

Q: 2 [+√²-1)dx (4) »

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Q: Find functions f and g so that fo g=H. H(x)=√x² +12 Choose the correct pair of functions. O A. f(x)…

A: We have given a composite function  f○g=H Hx=x2+12 Checking pairs (f○g)x=fgx Afx=x , gx=x2+12…

Q: For f(x) = x? – 3x + 5, find f(2), f'(2), and f(3) – f(2). a. f(2) b. f'(2) = c. f(3) – f(2) =

A: Given that, f(x)=x2-3x+5

Q: Find f ′(x) for the function f (x) = 7x −8

A: Differentiation is the process of finding derivative or rate of change of a function. Suppose we…

Q: Suppose I give you the following function f(x) = log,x and for the following points: x- 3, x, = 9,…

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Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

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Q: If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x…

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Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: Let ƒ(x) = (2x + 3)(3x2). Use the product rule to find ƒ′(x).

A: Consider the formula for product rule. Product rule: fg'=f'⋅g+f⋅g'

Q: 9.2-3 Theorem (m and M as spectral values). Let H and T be as in Theorem 9.2-1 and H# {0}. Then m…

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Q: 2x + Vx. 4. Determine a function f (x) knowing that f"(x) = 16e¬

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Q: Q3 Find f-(x) for the following : 1- y = Jx-3 2- y = (2x³ + 1)'/5

A: For finding the inverse, we will replace x with y and y with x