calculus q1) q3) The slope of the tangent line to the graph of the exponential f
ID: 2831884 • Letter: C
Question
calculus
q1)
q3)
The slope of the tangent line to the graph of the exponential function y = 6x at the point (0, 1) is lim h rightarrow 0 6h-1 / 4. Estimate the slope to three decimal places.. Estimate the value of lim x rightarrow 0(1 + x) 1/x to five decimal places. Does the number you get in part a. look familiar? What number is it? Fill in the table below for the function f(x) = 1-cos(5x) / x2. Remember to use RADIAN mode. Use the table to guses the value of lim x rightarrow 0 1-cos(5x) / x2. If the limit does not exist, enter 'DNE'.Explanation / Answer
q1) slope = ln 6 = 1.791
(a) 2.718
(b) the no. is euler's number commonly known as 'e'
q2) x= -0.1, f(x) = 12.241 x = 0.1, f(x) = 12.241
x= -0.01, f(x) =12.497 x = 0.01, f(x) = 12.497
x = -0.001, f(x) = 12.499 x = 0.001, f(x) = 12.499
x = -0.0001, f(x) = 12.499 x = 0.0001, f(x) = 12.499
limit exists and is equal to 12.499
Related Questions
Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.