3. (10 pts) Evaluate: lim (1 Hint: x→0+ - 6x) 4 4x Step 1---Determine the indeterminate form. Step 2---Let y to rewrite ln y. = 1 (1 - 6x) 4 6x) 4. Consider In y. Use a property of logarithms Step 3---Find lim lny using L'Hopotal's Rule. x→0+ Step 4---Undo the logarithm to find the original limit.

Q: Make a table of values and graph the function

A:

Q: f(x) =4x^3 -24x^2 -60x a. find all values of x that correspond to horizontal tangent lines. b.…

A: GIVEN FUNCTION  IS f(x)=4x3-24x2-60x   Now first order derivative be f'(x)=12x2-48x-60=0 Solution a:…

Q: lim y approaches -3 .............. (5 - y)^4/3

A: We have to find the limit: limy→-35-y43 This is determinate form of the limit so we just have to put…

Q: let f(x)=2x^2+1 and g(x)=3x-5. find the following? a. (f*g)(2)=f(g(2))

A: Given function is f(x)=2x^2+1 and g(x)=3x-5.

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

Q: The cubic function of best fit to data is T(x)= -0.0103x^3+0.32x^2-1.37x+46.09 Use this function to…

A: Basic curve fit problem

Q: Let f(x) = (3x^2 − 11x − 4)/(1 − x^2). Find (A) The domain (B) the axis intercepts (C) the…

A: Solution of this question is