Question No 1: Using the quotient rule to differentiate the x3+1 following function y = Vx2+1

Q: An open box is made from a square piece of cardboard 30 inches on a side by cutting identical…

A: Given: An open box was created from a square piece of cardboard by cutting identical squares from…

Q: Consider a rectangle with perimeter 28(units). Let the width of the rectangle be w (units) and let…

A: Answer :- Given,  Consider a rectangle with perimeter 28 units Let the width of the rectangle be w…

Q: 2. Let f(x) = # and g(x) = 2x + 3 %3D (a) Find and simplify (f o g)(x) (b) Find and simplify (go…

A: We are solving the first question and for the next question post the question again and also mention…

Q: Consider the function f(x)= x3 7x² + 2 List the a values of inflection points of the function f. If…

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Q: Describe the transformations done on the parent function f (x) = /x to create the new function g (x)…

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Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

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Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: How to distinguish an Even function from an Odd function and the relationship between them.

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Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: Determine whether the function has a concave up and/or concave down. f(x)=x/5+x^2

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Q: Given a one-to-one function f (x) such that f(3) = 6 and f(6) = 1, what is f-'(6)? Do not include…

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Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x