For which values of x (if any) is f(x) = 2x3 + 3x2 – 12x –...

For which values of x (if any) is f(x) = 2x³ + 3x² – 12x – 7

Increasing at an increasing rate?

Expert Solution

milcah answered 2 years ago

Let f(x) = -2x3 - 9x2 - 12x + 3. Find the following: a) The domain...

Let f(x) = -2x3 - 9x2 - 12x + 3. Find the following: a) The domain of f Answer can be an interval or in words b) The y-intercept Answer must be a point c) f '(x) d) The critical numbers, if any. e) The open interval(s) where the function is increasing and the open interval(s) where the function is decreasing. The answer to this question will be accepted in one of two ways: 1) Show the number line with...

Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2. (a) [2]...

Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2. (a) [2] Specify the (open) intervals on which f(x) is increasing, and the intervals on which f(x) is decreasing. (b) [2] Specify all local maxima and local minima, giving both x-coordinates and y-coordinates for them. (c) [2] Specify the intervals on which f(x) is concave up and on which f(x) is concave down. (d) [2] List the inflection point(s). (e) [2] Sketch a graph of y...

Find f 1)f”(x)=-2+12x-12x(Square), f’(0)=12 F(x)=? 2)Find a function f such that f’(x)=5x cube and the line...

Find f 1)f”(x)=-2+12x-12x(Square), f’(0)=12 F(x)=? 2)Find a function f such that f’(x)=5x cube and the line 5x+y=0 is the tangent to the graph of f F(x)=? 3)A particle is moving with the given data. Find the position of the particle a(t)=11sin(t)+4cos(t), s(0)=0, s(2pi)=16 s(t)=? (please i need help)

Find f. f ''(x) = 4 − 12x, f(0) = 6, f(2) = 10

Choose ALL the statements that are true for f(x)=12x-x3 a. The graph of f(x) is increasing...

Choose ALL the statements that are true for f(x)=12x-x3 a. The graph of f(x) is increasing on (-2,2) b. f(x) has no inflection point c. The graph of f(x) is concave downward on (- infinity,0) d. The graph of f(x) is decreasing on (-2,2) e. f(x) has an inflection point at x=0 f. The graph of f(x) is concave upward on (-infinity,0)

f ''(x) = −2 + 24x − 12x^2, f(0) = 7, f '(0) = 12

Estimate the area between the graph of f(x) = x3 − 12x and the x-axis over...

Estimate the area between the graph of f(x) = x3 − 12x and the x-axis over the interval [−2, 1] using n = 6 rectangles and right endpoints. Draw thecorresponding rectangles as well.

1. Find the critical numbers of the function f (x) = x^3− 12x in the interval...

1. Find the critical numbers of the function f (x) = x^3− 12x in the interval [0, 3]. Then find the absolute maximum and the absolute minimum of f(x) on the interval [0,3]. 2. Using only the limit definition of derivative, find the derivative of f(x) = x^2− 6x (do not use the formulas of derivatives).

Find the Maclaurin series of the function f(x)=(3x2)e^−4x (f(x)=∑n=0∞cnxn)

Solve this problem with the revised simplex method: Maximize Z = 5X1 + 3X2 + 2X3...

Solve this problem with the revised simplex method: Maximize Z = 5X1 + 3X2 + 2X3 Subject to 4X1 + 5X2 + 2X3 + X4 ≤ 20 3X1 + 4X2 - X3 + X4 ≤ 30 X1, X2, X3, X4 ≥ 0

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