xiny

This page lists questions and answers that were posted by visitors named xiny.

Questions

The following questions were asked by visitors named xiny.

Helium is pumped into a spherical balloon at a rate of 4 cubic feet per second. How fast is the radius increasing after 2 minutes? Rate of change of radius (in feet per second) = ?? (i dont know what to with the time given to solve)

find ∫ (3^x - 5)(4^x + 7) dx

Consider the integral: 21 ∫ x^3 dx 3 -Use all three methods to approximate this integral with n = 3 -Find the exact value of this integral

Consider the integral: 21 ∫ x^3 dx 3 -Use Left Sum, Right Sum, Midvalue Sum, and Trapezoid Rule methods to approximate this integral with n = 3 -Find the exact value of this integral

Estimate the area under the graph of f(x) = 16 - x^2 from x=0 to x=4 using 4 approximating rectangles. I got the right sum = 34 and left sum = 50 but what is the area found using midpoints? How do I do it?

Speedometer readings for a motorcycle at 12-seconds intervals are given in the table. t (sec) 0 12 24 36 48 60 v (ft/sec) 22 26 29 23 23 30 (a) Estimate the distance, in feet, traveled by the motorcycle during the time interval from 0 to 60 seconds using...

Find a power series representation for the function. f(x) = ln(7 − x)

Suppose that the trace of a 2x2 matrix A =4 , and the determinant is 3. Find the eigenvalues of A smaller eigenvalue = larger eigenvalue =

Suppose a 3x3 real matrix A has only two (real) distinct eigenvalues. Suppose that trace(A) = 1 and det(A) = -45 . Find the eigenvalues of A with their algebraic multiplicities. smaller eigenvalue = ? has mulitiplicity = ? larger eigenvalue = ? has muliti...

there are 20 elks. Of the 20, 5 elks are tagged and released. Later, 4 of these elks are randomly captured. What is the probability that exactly 2 of the elks captured are tagged?

In a poker game, you get 5 cards from a regular deck of 52 cards. What is the probability that you get full house (i.e. three of a kind and two of another kind) if the first two cards you've got were two aces?

Suppose you cast and keep casting a die until you get either number 5 or 6? What is the probability that you will stop after even number of casts?

Suppose we apply gradient ascent algorithm to find a local maximum of the function f(x,y) = 3x cos^3 *y + 1/x. If we start from the point (x0,y0) = (−1, π/3 ) and use learning rate α = 0.1 to go uphill as high as possible (initially), what point (x1,y1) w...

What is the probability that in 10 casts of a fair die we get number six more than once? SHOW WORK

Answers

The following answers were posted by visitors named xiny.