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1. Show, using algebra, that the formula for a circle is a special case of the formula for an ellipse.
2. Show, using algebra, that the formula for a parabola is a special case of the formula for an ellipse.
3. In the context of a parabola, what is a focus? What is a directrix? What are the advantages of expressing the equation of a parabola in focus-directrix form?
4. What happens to the shape of a parabola, as the distance between the vertex of the curve and the focus becomes very large? Prove your answer using algebra.
Show, using algebra, that the formula for a circle is a special case of the formula for an ellipse.
If a ball is thrown directly upward with a velocity of 48 ft/s, its height (in feet) after t seconds is given by y = 48t - 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
Solve the following problem by simplex method
How many different 6-letter code words can be formed from the first 8 letters of the alphabet if adjacent letters must be different?
A bank loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 40. If 36 different applicants are randomly selected, calculate the probability that their mean above 208.
a hot air balloon rises and moves away from you. the total distance it travels is 1382 feet. the angle of elevatin from you to the balloon
The radius of a circular disk is given as 30 cm with a maximum error in measurement of 04 cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
A textbook store sold a combined total of 417 history and chemistry textbooks in a week. The number of chemistry textbooks sold was 49 less than the number of history textbooks sold. How many textbooks of each type were sold?
which is not a value between the fractions: 22/75 and 147/500
Suppose that the simultaneous equations F(x,y,z)=0 and G(x,y,z)=0 define x=f(z) and y=g(z) implicitly, Determine expressions for dx/dz and dy/dz in terms of partial derivatives of F and G
After diving 92 m below the sea level, a diver rises at a rate of 4 meters per minute for 7 min. Where is the diver in relation to the surface? Can't get the concept? 28 is the sume and 68 is the answer?
Which of the following points is on the line defined by the equation, Y = 4X + 2?
a stamp collector is arranging 100 stamps in rows with the same number of stamps in each row. How many different ways could she arrange the stamps if she would like more than 2 rows but fewer than 10 rows?
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