Find the area of the following parallelogram


MH = 55 cm
MX = 79 cm
n = 37 cm

An object moves in a wind tunnel along a straight line path so that the distance in feet it has traveled after t seconds is given by s=20t-t^3/2

(1) What is the average velocity of the object during the time interval [2.5,5.4]?

(2) What is the instantaneous velocity at time t = 3 seconds?

A snowboarder starting at rest comes down a slope at an angle of 30 degrees with the horizontal. The skier makes a total vertical descent of 100 m and then coasts along a level section which runs for 400m before entering the beginner's area.

(1) How large must the coefficient of friction be to just prevent the aggressive snowboarder from entering the learning area, and wreaking havoc?

(2) Using the coefficient of friction found in (1) what is the maximum velocity that can be attained by the snowboarder?

One approach to handling fuzzy logic data might be to design a computer using ternary logic so that data could be stored as "true", "false", and "unknown". If each ternary logic element is called a flit, how many flits are required to represent at least 256 different values?

(a) 4
(b) 5
(c) 6
(d) 7
(e) 8

If  I do my homework then I will get better grades.

I didn't do my homework.

Therefore, I'm not going to get better grades.

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Valid or Invalid?

Determine a so that f(x) is continuous at every point:

Find the area of the following triangle:


VN = 52.5 inches
FN = 30.5 inches
FV = 33 inches
n = 28.5 inches

Integrate the following



*HINT - Remove the ``outside" square root first and use the power substitution

People with cystic fibrosis inherit defective genetic information and can not produce normal CFTR proteins.  Scientists have used gene therapy to insert normal DNA segments that code for the missing CFTR protein into the lung cells of people with cystic fibrosis.  Which statement does not describe a result of this therapy?

(a) Altered lung cells can produce the normal CFTR protein.
(b) Altered lung cells can divide to produce other lungs cells with the normal CFTR gene.
(c) The normal CFTR gene may be expressed in altered lung cells.
(d) Offspring of someone with altered lung cells will inherit the normal CFTR gene.

Consider the function



Determine the slope of the line perpendicular to the graph of f at x=1 .

Which of these formulas contains the most polar bond?

(1) H-Br
(2) H-Cl
(3) H-F
(4) H-I

Which electron configuration represents the electrons of an atom in an excited state:

(1) 2-8-1
(2) 2-8-6
(3) 2-8-17-6
(4) 2-8-18-5

Given that:



Show that f is continuous at x=0

Which quantity is equivalent to the product of the absolute index of refraction of water and the speed of light in water?

(1) frequency of light in water
(2) sine of the angle of incidence
(3) speed of light in a vacuum
(4) wavelength of light in a vacuum