Vikram

Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x(1/3) + 6x(4/3). You must justify your answer using an analysis of f '(x) and f "(x). My start to a solution: x-values: (-1/8) and (-1/4) I got -1/8 from f'(x...

If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c < 2 such that f(c) = 0 f '(c) = 0 f (c) = 5 f '(c) = 5 Not really sure where to start here. No textbook and my teacher never ex...

If f(x) = |(x^2 - 6)(x^2 + 2)|, how many numbers in the interval 1 ≤ x ≤ 2 satisfy the conclusion of the mean value theorem? None One Two Three Not sure where to start. Like my previous question, I don't have a book or help from my teacher.

1. A delivery truck travels 21 blocks north, 16 blocks east, and 26 blocks south. What is its final displacement from the origin? Assume the blocks are equal length. 2. Vector V1 is 6.6 units long and points along the negative x axis. Vector V2 is 8.5 uni...

Which integral gives the area of the region in the first quadrant bounded by the axes, y = e^x, x = e^y, and the line x = 4? The answer is an integral. I know y=e^x has no area bounded, but I don't know how to incorporate it all.

15. The growth of direct primaries has resulted in which of the following major change to political parties? Political parties, instead of the Senate, host and determine the rules for direct primaries. National conventions held by major parties, instead o...

For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 6 secs? -36 36 0 55.596 For an object whose velocity in ft/sec is given by v(t) = -2t^2 + 4, what is its distance travelled...

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 4, and y = 1 about the y-axis 39pi/2 225pi/2 735pi/2 None of these I got 39pi/2

2. For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 3 secs? 3. Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) -...

An object has a constant acceleration of 40 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 10 ft

Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved around the line y = -1. I don't understand the washer thickness topic which is why im having trouble with this q...

Please don't post the question from brilliant dot org. You're spoiling the essence of the challenges!

OH I completely forgot to do the "+". I kept typing in the answer without the "+" and kept getting it wrong and decided to get help on the last try. Thank you very much Steve.

15. The growth of direct primaries has resulted in which of the following major change to political parties? Political parties, instead of the Senate, host and determine the rules for direct primaries. National conventions held by major parties, instead o...

The base of a solid in the xy-plane is the circle x2 + y2 = 16. Cross sections of the solid perpendicular to the y-axis are squares. What is the volume, in cubic units, of the solid? Can you please help me out on this one Bobby? Also, for the second quest...

9.000 -9.000 10.596 -3.00 Those are the answer choices for #2

Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x3 and y = x