lim x--7+ dx [oo] f. dx [[ f(x)dx g. f(x)dx h. Average value of f on [-4,-1]

Q: Please

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Q: Differenti ate each function ) y= V+ In (+*)

A: This question is based on chain rule differentiation.

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: 1 Let f(x) x + 7 f-'(x) =

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Q: -2 Find the interval(s) where f(x) =- 64-x2 is continuous.

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Q: Show that the function f(x)= √6x-x² is continuous on the closed interval [0, 6].

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Q: Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as…

A: limx→ 0x4sinx use direct methodlimx→ 0x4sinx=04sin0limx→ 0x4sinx=04x0         (sin0=0)limx→…

Q: Determine where f is increasing. ∫(x) = x3

A: Given: Determine where f is increasing.  f(x) = x3

Q: Given the following function notations, find h(x) = f(x) + 2g(x). * f(x) = 7x – 5x + 2 and g(x) =…

A: Given the following functions                                      f(x)=7x3-5x+2  and  g(x)=3x2-1…

Q: Explain why f(x)=sinx is an odd function.

A: We have to explain the given function is odd function: fx=sin x We know for odd function it must be…

Q: Refer to the function below and evaluate it where f (7). /(t) = -3 (-3 ( +-1))' + -1

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Q: function

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Q: 2 + 7x if x < 4 Let f(x) if x 2 4. For what value of the constant c is the function f continuous on…

A: Given function is: fx=cx2+7x       if x&lt;4x3-cx          if x≥4 We know that a function is…

Q: Refer to the function f(x)=[x] determine f(-4.1)

A: Greatest integer function

Q: Use the graphs (see attached) of f and g to find (f + g)(-3).

A: we know that f+gx=fx+gx so, according to given graphs f+g-3=f-3+g-3=4+1…