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Question: Solve the given problems by determinants .Set up appropriate systems of equations. All numbers are accurate to at least two significant digits.
A person spent 1.10 h in a car going to an airport, 1.95 h flying in a jet, and 0.520 h in a taxi to reach the final destination. The jet's speed averaged 12.0 times that of the car, which averaged 15.0 mi/h more than the taxi. What was the average speed of each if the trip covered 1140 mi?
block of metal has a width of 3.2 rm cm, a length of 17.1 rm cm, and height of 4.9 cm. Its mass is 1.5 kg. Calculate the density of the metal.
Find the postion vector r(t) and the velocity vector at any t. Find the maximum height Hm and the tim to get there. Find the time to get to the initial postion and find the velocity at this time.
Calculate an interval estimate for the mean life, , of light bulbs of this type. In other words, construct a 90% confidence interval for the mean life, , of light bulbs of this type
Calculate the directional derivative of f in the direction of at the point (1, 2, 5) (In notation: Dv(f)(1, 2, 5)). Find a vector w such that dc(f)(1, 2, 5) has largest value. what is this largest w?
Determine the probability that WMS will go up regardless of the Dow and find the probability that probability that WMS goes up given that the Dow is up?
When simplifying the rational expression below, explain why it is improper to cancel out the x's. State a general rule for canceling factors in a rational expression and give an example of how this rule would be used. X+8 /x+2.
What is the lcm of 4 , 6, 18
Sketch a scale diagram of both radar contacts, a and b, how far is b from a and ct what heading relative to north is contact a from contact b?
Explain how to find the vertex of a parabola and explain how algebra is used to determine if a parabola possesses real roots.
a brand of salsa comes in jars marked net weight 680 grams. suppose the actual mean net weight mu 680 grams with a
This force can be written as the sum of a vector parallel to the displacement, plus a vector orthonal to the displacement. Give the vector component of the force that acts orthogonal to the displacement.
radius of earth 6370 kmmean ocean depth 3800height of biosphere 14kmif the earth were scaled down to a 1m diameter
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