Find the proportion of observations of a standard normal distribution for each region. The region to the left of z=-0.43

The pn junction joining the base region and the emitter region is called the base-emitter junction.

Find the area of the region described. The region enclosed by the rose r=2 sin 2θ.

Find the area of the region described The region bounded

$$y=24 \sqrt{x} \text { and } y=3 x^{2}$$

Find the area of the region described The region bounded

$$y=x,\ \ y=\frac{1}{x } ,\ \ y=0, \ \text { and } x=2$$

A retail company must file a monthly sales tax report listing the sales for the month and the amount of sales tax collected. Write a program that asks for the month, the year, and the total amount collected at the cash register (that is, sales plus sales tax). Assume the state sales tax is 4 percent and the county sales tax is 2 percent. If the total amount collected is known and the total sales tax is 6 percent, the amount of product sales may be calculated as: $S=\frac{T}{1.06}$ S is the product sales and T is the total income (product sales plus sales tax). The program should display a report similar to Month: October Total Collected: $26572.89 Sales:$25068.76 County Sales Tax: $501.38 State Sales Tax:$1002.75 Total Sales Tax: $1504.13

Which of these functions does not have a Fourier transform?

$$\begin{array}{ll}{\text { (a) } e^{t} u(-t)} & {\text { (b) } t e^{-3 t} u(t)} \\ {\text { (c) } 1 / t} & {\text { (d) }|t| u(t)}\end{array}$$

Write inequalities to describe the region. The region between the yz-plane and the vertical plane x=5

Use a line integral to compute the area of the given region. The region bounded by $y=x^{2}$ and y=2x

Find the average value of the function on the indicated region. $f(x, y)=x^{2}$, region bounded by y=2x, y=x and x=1

Find the area of the region described The region bounded

$$x=y^{2}-4 \text { and } y=\frac{x}{3}$$

Find the area of the region described. The region that is common to the circles r=2cosθ and r=2sinθ.

Sketch the region that lies between the curves y = cos x and y = sin 2x and between x = 0 and $x=\pi / 2.$ Notice that the region consists of two separate parts. Find the area of this region.

Sketch the region bounded by the graphs of the equations and find the area of the region. y= -x² + 3x + 1, y = -x + 1