Solved: Apply concepts from this unit of study to answer the question: Is it p

Home
questions and answers
apply concepts from this unit of study to answer the question is it po

Question

Calculus

Apply concepts from this unit of study to answer the question: Is it possible to combinef(x)=Vx with a second function g(x) to get a new function whose domain is all real numbers?

Answer

Verified

Question 45629

Calculus

III. The following Theorem was discussed in thesection about infinite series

Calculus

II. The following figure shows an infinite zigzag path with each zag occurs at an angle of t/4. Find the total length of this infinite zigzag path.

Calculus

I. Find the total area of the infinitely many triangles shown in the figure below.

Calculus

The bandwidth of a video being delivered on the internet has a continuous distributionon the interval (0,4), with a probability density function (PDF)
f_{X}(x)=\left\{\begin{array}{ll} \frac{c}{(1+x)^{2}} & \text { for } 0<x<4 \\ 0 & \text { otherwise. } \end{array}\right.
What is the probability that the bandwidth of a video is less than 0.6.

Calculus

You are given that P(A) = 0.5 and P(A U B) = 0.7. Student 1 assumes that A and B are independent and calculates P(B) based on that assumption. Student 2 assumes that A and B are mutually exclusive and calculates P(B) based on that assumption.Find the absolute difference between the two calculations.

Calculus

\text { Sketch a (relatively decent) contour diagram for } f(x, y)=\frac{y+1}{x-y} \text { which includes the }
c= 0, 1, 2, –2 level curves. (Pick a reasonable scale for your axes.)

Calculus

1. (3) Is there a function of two variables whose z = 0 level curve consists exactly of the circles x2 + y2 = 2 and x2 + y2= 9? If so, what is an example? If not, why not?

Calculus

\text { a) Consider the sphere } S:(x-2)^{2}+(y+3)^{2}+(z-1)^{2}=16
(b) Let P be the horizontal plane which passes through (4, 5, 2). Find the equation ofthe circle where P intersects S.
(a) Find anequation for the circle where S intersects the xz-plane.
(c) Find the point(s) where S intersects the x-axis.

Calculus

2. (5) Consider the (somewhat strange) function V (w) which returns the number of uniquevowels (a, e, i, o, u only) in the English word w.
(a) What is V(calculus)? V (brachiosaurus)?
(b) Describe (in words) the zeros of the function V, and giveexample.one
(c) What is the range of V?

Calculus

\text { Consider the function } f(x, y)=x-y^{2}+3 \text {. Sketch the cross-section of } f(x, y) \text { with }
\text { (a) } x=2
\text { (b) } y=-1