Given the function f(x) = 3z2 - 3z- 3 find the following. (a) the average rate of change of f on [2, 8]:| (b) the average rate of change of f on (x, x + h]:

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Q: Question Evaluate the following limit using L'Hospital's rule. (푸)( lim (cos(6æ))

A: We will solve the given limit by L' Hospital rule

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A: Given hyperboloid ;    x2-y2-z2=1  and equation of plne which is parallel to tangent plane  x+y-z=0

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Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

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A: Given query is to perform indicated multiplication operation.

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A: To find the derivative of the vector function, rt=ta×b+tcWhere, a=3, -2, -3, b=1, 3, -2, and, c=-2, ...

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Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

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Q: (Hint, the parentheses, are where you are renaming in terms of sin or cos, or when you are getting a...

A: Topic = Trigonometry

Q: 1 The function is equivalent to the series: 1-2t Select the correct response: 3 5 -1 -t--t2 2 t3 + ....

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Q: Find the limit of the infinite sequence. (2n–1)² n²+8 tn Enter dne if the limit does not exist. If t...

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A: follow the procedure given below.

Q: 1. Graph y = -cos Ex) and y = -(x – 4)² + 1 accurately on the graph provided below. Provide the nece...

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Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

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Q: For the function f(x) = 3* find f(x-2) Compute *t1®if f(x) = ax +b h

A: 1. The given function f(x)=3x2. f(x)=ax+b

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A: Solution is given below:

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Q: Question Evaluate the integral below. dx

A: Given that: ∫x7e3x4dx

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Q: Hello, Please answer the following attached Calculus question correctly and show all your work compl...

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Q: 1아 %3D %3D 3D -10 -15- lim_f(x) 2. lim f(x) x→-1+ 3. lim f(x) 1. x→-1- x→-1' 4. lim f(x) 5. lim f(x)...

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Q: Question Evaluate the following limit using L'Hospital's rule. lim (e + 2a)() 6x Provide your answer...

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A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution :2x2+y22=25x2-y22×...