"( -y is 16. If f(x, y) is harmonic, show that f 12 + y2 x2 + also harmonic.

Q: For f(x) = メ-4 . and g(x) = x+5. メ-8 メ+7 1.) First, find: fog •gof •fof •gog 2.) State the domain of…

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Q: If f(x)=/2x-3. Find f" (x). Also find the domain and range of f"(x)

A: Solution:Given      f(x)=2x-35To find f-1(x) Also find the domain and range of  f-1(x)

Q: Solve for f(x)

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Q: V2 – 3x4 1 x² -4

A: We have to find the derivative

Q: Differentiate and simplify

A: The derivative of ln x is 1x.

Q: Explain two applications of 2 examples of periodic functions that exist in everyday life.

A: Periodic function - It describes any phenomenon that involves repetitive behavior at regular…

Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

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Q: foex-2X+1, find f (xth)-f(x)

A: The function is given by fx = x-2x2+1 To evaluate: The expression of fx+h-fxh

Q: Write the domain of the given functions in interval notation:

A: here we have to find the domain of the given functions.

Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: sec x)^2 - 1

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Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: Find the derivative 5x' +9x + -7x+2

A: Find the derivative, 5x3+9x2+7x+2...(1)

Q: Please answer and explain

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Q: Let f(x) = -6x4√√x + f'(x) = -2 x³√√x

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Q: 6. Differentiate. (Do the first step only, do not simplify) f(x) = (2x* - x³)²√3x + 1

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Q: -2 -1 0 1 3 5 6

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Q: f (x) = 2 – 25 V – 4x + 3

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Q: If f(x) = 3√5x-3, find f-1 (x)

A: given f(x) = 5x3-3 let y = f(x) = 5x3-3

Q: f(x) = x4 + x? In order to check even, odd, neither, I need to check to see what f( – x) simplifies…

A: If we have to check either a given function f(x) is odd or even we replace x in the function by (-x)…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.