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Exercise 14.5.2 Consider a vertical plane Π (i.e. parallel to the z-axis) which passes through the points (1, 3, 0) and (1, 5, 2). (a) Find a vector parametric equation for Π in the form r = p + sv + tw. (b) Considering the cross product of the vectors v and w, or otherwise, find a Cartesian equation for Π in the form ax + by + cz = d for some constants a, b, c, d to be determined. (c) Confirm that the points (1, 3, 0) and (1, 5, 2) both satisfy the Cartesian equation obtained in part (b) and that this Cartesian equation indeed describes a plane that is vertical
Suppose that for a certain company C(x)=25 x+500,000 represents the total cost function and R(x)=75x represents the total revenue function. Find the total profit function and break even point.
Two distinct even numbers are selected at random from the first ten even numbers greater than zero.
a rectangular trench is to be dug which is to be 240 ft long, 90 ft wide and 9 ft deep. a large dump truck can carry 20 cubic yards in a load. how many truck loads will be required to remove the dirt from this trench?
Sample Question: Binomial Probability Distribution. Assume a binomial probability distribution with n=40 and Ï? =.30(pi =.30) . (Round all z values to 2 decimal places.)
The annual interest rate for a customers loan of $675 is 19.25%. What is the total dollar amount to be repaid on the loan, including principle and interest, for the year.
a carpenter wants to bolts two long boards together for strength . the boards are 288 inches long. by mistake he tells
for your first discussion please tell us a problem that you solved and how george polyas guidelines applied. do not
evaluate the steady-state concentration.under some conditions the rate at which the concentration of a dissolved
A function f is given by the following table: Approximate the area between the x-axis and y=f (x) from x=0 to x=4 using Simpson's Rule.
the rectangular part of the field is 100 yards long and the diameter of each semicircle is 50 yards.find the cost of firtilizing the field at $0.30 per square yard.
solve by absolute value equation and solve by factoring and use the zero product principle.solve the absolute value
in a game of ice hockey the hockey puck took 0.8 second to travel 89 feet to the goal line. determine the average speed of the puck in feet per second.
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