Question content area top Part 1 By determining f′(x)=limh→0 f(x+h)−f(x)/h​, find f′(3) for the given function.   f(x)=8x2   f'(3)=

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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Q: √x+h-√r (a) lim x-x³-x+1 (b) lim-2x + 32¹-3x³ - x² + 3x - 1

A: See the details solution in below to

Q: INSTRUCTIONS: State the differential, dy, of... y = f(x) = tan ¹(√√x)

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Q: Let y = exp /9+9x3). Find dy/dx.

A: Given function:- y=e9+9x3

Q: Question 1. equation : : Consider the differential y cost + 2te³ + (sin t + t²e³ − 1)y' = 0. - a)…

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Q: Find all values of y such that the distance between  (9,y) and (-4,6) is 15. y= ?

A: We know Distance formula= x2-x12+y2-y12

Q: (x) x + 1/2 Ax² + Bx + C (x² + D)²

A: Topic:- application of derivatives

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A: Since you have asked a question with multiple parts in a single request we would be answering only…

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A: ∫sin3x dx=?

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A: A street light is at the top of a 11 ft tall pole.  A woman 6 ft tall walks away from the polewith a…

Q: Consider the piecewise function 5t - 5 5 cos(-5t) -5-6e5t -5 sin(5t) f(t) = = t< -11 -11 ≤ t < 3 3 <…

A: For a piecewise function we can write it as a unit step function as f=f't&lt;af''a≤t≤bf'''t≥bThen…

Q: W Find the integral. • 5x² - 9x+6 S x³ - 2x² + x O In In In X - dx X x-1 xº x-1 x-1 6 x 2 x-1 1 44+0…

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Q: x5+2x4+x². x² +2 After the numerator is divided by the denominator, f(x) = a. What is the oblique…

A: The given function is:f(x)=x5+2x4+x2+4x4+2

Q: A resistor shaped in the form of an annulus has an outer radius ba inner radius a and its resistance…

A: solution:-a&lt;r&lt;bR=∫abρdr2πr=ρ2π∫abdrr=ρ2πlnrab=ρ2πlnb-lna=ρ2πlnba

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Q: For the function, do the following. f(x) = 3/1/2 from a 1 to b = 3. Approximate the area under the…

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Q: Calculate g(b) and g'(b), where g is the inverse of f = x - cos(x) where b = -1. g(b) = g' (b) =

A: NOTE: Refresh your page if you can't see any equations. . the given value of b is b=-1 so take…

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Q: Find an Indefinite Integral. Show all your work So x√3x-4 dx 1.

A: To find the following indefinite integral.∫x3x-4 dx

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Q: Find the inverse o a. f(x)=2x²-4

A: according to bartleby guide line we do only first of multipy.a)  f(x)=2x2-4steps for finding inverse…

Q: Ət A. Use the chain rule to find and as functions of x, y, s and t. Ət = მა Suppose z = = B. Find…

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Q: 6. f cos³x√sin xdx)

A: sin2x+cos2x=1∫xndx=xn+1n+1

Q: If g(t) = 1t¹ — 9t² – 3 find g(0) gʻ(0) = g''(0) = g'''(0) g (4) (0) g (5) (0) = = =

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Q: 2. Eliminate the arbitrary constant(s) in the following equations: b. tany= C₁ cotx + C₂

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