The Trapezoidal Rule with n=6 (namely T6) for approximating / f(x)dx is SPACE FOR YOUR WORK T6 = (f(0)+2f(1)+2f(2)+2f(3)+2f(4)+2f (5) + f(6)) (a) T6 = }(f(1)+2f(2)+2f(3)+2f(4) +f(5)) (b) (c) T6 =(f(0)+2f(1)+2f(2)+2f(3)+2f(4)+2f(5)+f(6)) T6 = (F(1)+2f(2)+2f(3)+2f(4) +2f(5)+f(6)) (d) (e) None of the above.

Q: Differentiate f(x) = 3 (√4x² + 2x + 7x+2) x+1

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Q: Differentiate: f(x) = e* +3* + In(4) A f)=e*+3in(3) +- f(x)= e+3 n(3) © fx)= e* +3* f(x) = e* +3* +=…

A: fx=ex+3x+ln4

Q: Q2/ A/ plot the function Z= 3(1-x) e-x²-(y+1)² – 10(x – x³ – y5)e-x²-y² _ ! e-(x+1)²-y² where…

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Q: FX)=f(f(x))and G(x)= (F(x) F(4)=13f(13 )=3 f(13)=6f(4)=6 OF(4)- G'(4)=

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Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

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Q: 1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

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Q: The function f(x) = 2x + 6x? - 5x + 1 is concave upward on the interval O None (-0, c0) (-1, c0)…

A: Given, y=f(x)=2x3+6x2-5x+1 In this we have to find differentiation of function till when all the…

Q: If f(x) = (x6 + 4x) ³, then df(x) a) 3(x64x)² (x5 + 4) b) 3(x6 +4x)² Oc) (x6 +4x)² (6x5) da equals…

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Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

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Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

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Q: Differentiate

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Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Given the funtions F(x)= 2x^2 +4x and G(x)= 2x +4   Then (GoF)(2)?

A: Given,     F(x)=2x^+4x and G(x)=2x+4     we have find (GOF)(2)

Q: If f(x) = 5x - 2x³-x²+3x-1, then %3D | f(0) = %3D Cyマ/10) %3D %3D

A: According to power rule of differentiation .

Q: f(x) = −x^2 + 8x − 16. Consider the Parabola (a) Does the function point up or down? (b) What is…

A: f(x)=-x2+8x-16y=-(x2-8x+16)y=-(x-4)2 a. parabola is down to the axisb.symmetric to x-axisat x=4

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: f(x)=(x^2-1)/(x+4) Find the following :  5) f(2x) 6) f(a+k)

A: For 5th put 2x in place of x And for 6th put a+k in place of x in f(x)

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

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Q: 2x +3 and g(x) =4, find f(g(2)). x-1 5. Given f(x)

A: f(g(x))=fx-1xf(g(x))=2x-1x+3

Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

Q: Find f(x) and g(c) such that h(x)=(f•g)(x) h(x)=(x^2+7)^5

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Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: The derivative of f(z) - (+10z) is O6z (2z + 10) O6z (2z+10) O 6z (2z + 10) O 6z+60

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Q: Let f(x)=2x+3 and g(x)=x+√x+2 Find f+g   (f*g)(x)

A: Given function is f(x)=2x+3 and g(x)=x+√x+2

Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

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Q: 7- Differentiate Y= f(g(x4)) h³(√x)

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Q: Make the composition (f o g) (x) with the function f (x) = x ^ 2 + 2 -2 and g (x) = √x

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Q: Consider f(x) = 8x +3, g(x) = x³. fog= 2x^3+3 %3D go f = (2x+3)^3 f(x) = Vx² + 5, g(x) = x² + 6.…

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Q: F(x)= -x^2-4x+2 -Find x-intercepts(x,y) (smaller x value)?

A: Question is solved.

Q: Find all local extrema of f (x) = 4x3 – 3x² – 6x + 7 - -

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Q: f(x)=4x−7x^2+x−6  what is the y-intercept?

A: To determine the y-intercept.

Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

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Q: The critical point of the function f(x) = x³ – 5x² + 2x – 17 is %3D - o (용, 1) ㅇ (름, 1) o (음,-1) (금,…

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