Evaluate the definite integrals using the graph of f (a) below. 6- (a) (b) (c) ²1(x) de = y f(x) dx = Number 12 10 So 1 (2) f(x) da Number Number 2+ 0 -2+ -4- -6- 6 8 10 12

Q: consider these 2 functions. if x co if x20 Letx 1-1-49x² g(x) = _ _ x ² + 16 4760 +2 domain of g(x)?…

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Q: Find the derivate of this function]: 2 a) f(x) = 4x² + x + 9 at -5 f(-5) = b) f(x) = √√√x at 16 F'…

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Q: Calculate L6 for f(x) = x² + 2x over [-2,5]. (Use decimal notation. Give your answer to three…

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Q: 2. Suppose that f(x) = ((.x² + x·5).5 +.r.5).5 when x ≥ 0. Find df(x)/dx. •5 (@ï¥2³ )² +x²)+…

A: The answer is given in step 2

Q: Finally, use the Generalized Power Rule to determine[x -x], noting that x-x is the difference of two…

A: Here we have to find differentiation of f(x)

Q: 6. Simplify the rational expressions (a) st = ut 24 w %3D (zw)

A: As per bartleby guidelines for more than one question asked only first is to be answered please…

Q: Consider f(x) = (x+3)(3 – x)'/3. %3D

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Q: is y=s/(1+s)  a rational function? If not, what type of function is it?

A: Given function,  y = s/(1 + s)  To find whether it is a rational function or not.

Q: 2. Given f(x) = x' – x? - 5x – 3. which of the following is a factor of f(x)? 1. x - 2 2. x+ 2 3. x…

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Q: 1/2 S x²√1-x²dx. 0

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Q: 1 what is f(4)? What is f(y) ? x +2 If f(x) = f(4) = (Type an integer or a simplified fraction.)

A: We know that, for a given function fx, the value of function at x=α is fα. We have, fx=1x3+2 Now, f4…

Q: 34. f(x)= x+2 2x+1,8(x) = √√x. (fog)(x) = 32 (*)(**)

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Q: Derive this expression from first principles. f(R)=3/(bR)

A: Questions from derivatives.

Q: Calculate L6 for f(x) = x² + 3|x| over [-1,4]. (Use decimal notation. Give your answer to three…

A: Left Riemann sum of the function

Q: How do you show that if f(x) is O(x), then f(x)=O(x2)?

A: Here we use the definition of big-O.

Q: Use the graph of f′ shown in the figure to answer the following. (a) Is f(3) − f(2) > 0? Explain.…

A: a) From given graph it is observed that, f' is positive in region (0, 4). So f(4) > f(0).…

Q: Evaluate the difference quotient for 7x+1. Az) - f(x) = 2 7/2 7 O 1/2 O O

A: Here we have to find the quotient difference of a function.

Q: Integrate the Following using Rational Functions 2.х2 — 9х — 9 -dx x3 – 9x (a) / (b) /: - - 1 d.x…

A: (a) ∫2x2-9x-9x3-9xdx =∫2x2-9x-9xx-3x+3dx=∫2x+3+1x-1x-3dx=2∫1x+3dx+∫1xdx-∫1x-3dx=2·lnx+3+lnx-lnx-3+C…

Q: Let f(x) = · – 3(x + 4)"(x – 4)1º(x + 5)"| |

A: f(x) > 0 can be solved using simple algebraic properties

Q: ผิ Oy=√x-4 O x= √√√y-4 O -1 5. Find ¹(x) for the following function: f f(x) = x² +4 O ƒ−¹(x) = √x −…

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