Provide an appropriate response.Use your graphing calculator to graph the equation y = ln(x2) - 2e3x + x3 + 11. Zoom in on the graph to approximate the roots of the equation. Use Newton's method to verify your results.

What will be an ideal response?


-2.332626492 and 0.5328719189

Mathematics

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Solve the problem.In the formula N = Iekt, N is the number of items in terms of an initial population I at a given time t and k is a growth constant equal to the percent of growth per unit time. There are currently 63 million cars in a certain country, increasing by 5.1% annually. How many years will it take for this country to have 86 million cars? Round to the nearest year.

A. 5 years B. 3 years C. 61 years D. 6 years

Mathematics

Multiply.

A. 240 B. 240,000 C. 24,000 D. 2,400

Mathematics

Simplify using only positive exponents. Leave the answer in exponential notation.

A.  
B. 24
C. 28
D.

Mathematics

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = x3 - 3x + 3, (-2, 2)

A. local maximum at (-1, 5) local minimum at (1, 1) increasing on (-2, -1) and (1, 2) decreasing on (-1, 1) B. local maximum at (1, 1) local minimum at (-1, 5) increasing on (-2, -1) decreasing on (-1, 1) C. local maximum at (1, 1) local minimum at (-1, 5) increasing on (-2, -1) and (1, 2) decreasing on (-1, 1) D. local maximum at (-1, 5) local minimum at (1, 1) increasing on (-1, 1) decreasing on (-2, -1) and (1, 2)

Mathematics