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The line y = 0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x -y =-0.85 estimates the price of gasoline in January of each year.
a. Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.
b. Use the equations of the lines to determine if they are parallel. What did you find?
c. Did your answer to Part b. confirm your expectation in Part a?
Two tracking stations are on the equator 148 miles apart. A weather balloon is located on a bearing of N 32°E from the western station and on a bearing of N 20°E from the eastern station. How far is the balloon from the western station? Round to t..
De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.
If the graph of a function has three x intercepts, then it must have at least two points at whch its tangent line is horizontal. If f'(x) = 0 for all x in the domain of f, then f is a constant function.
Find the formulas for the function and simplify. Let f(x)=x^2+1, g(x)=1/(x-7), h(x)=sqrt(x). g(g(x))=???
find the amount by which the utility company will have to increase its generating capacity in order to meet the needs of the area at the end of the decade. (Round your answer to two decimal places.)
The surface areas of two similar solids are 311 ft2 and 1,037 ft2. The volume of the larger solid is 1,755 ft3. What is the volume of the smaller solid?
Use Newton's method to find the coordinates of the inflection point of the curve y = ecos(x),0 ≤ x ≤ π , correct to six decimal places.
A certain flight arrives on time 66 percent of the time. Suppose 106 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that exactly 75 flights are on time.
Probability - Frequency Of Dice Rolls, When a pair of dice is rolled, the total will range from 2 (1,1) to 12 (6,6). It is a fact that some numbers will occur more frequently than others as the dice are rolled over and over.
Based on the parallelogram law, show that the norms ||.||_1 (1-norm) and ||.||_infinity ( infinity or maximum norm) in R^2 are not induced by any inner product.
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
In 2005, the average commuting time to work in New York was 31.2 min. The average commuting time in North Dakota was 14.9 min shorter. How long was the average commute in North Dakota?
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