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A plane has an airspeed of 195 miles per hour and a heading of 20°. The ground speed of the plane is 207 miles per hour, and its true course is in the direction of 36°. Find the speed and direction of the air currents, assuming they are constants.
Two circles of different radii touch internally at C. A tangent at P on the smaller inner circle touches the larger circle at A and B. Join ABC. Prove that CP bisects angle
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
A principal of $1800 is borrowed over 9 months. The future value is $1910. Determine the loan simple interest rate to the tenth of a percent?
Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
Let (X,d) be a compact metric space, and let Con(X) denote the set of contraction maps on X. We shall define the distance between two maps f,g which belongs to Con(X) as follows:
Let V be the set of functions having the set of real numbers as domain whose graphs pass through the point:
How do you find (and what is it) the principal branch of the following complex powers:
Consider 4 couples (4 husbands and their wives) stand in random order in a line. What is the probability that no husband is lined up directly
Use polar coordinates to evaluate the volume of the solid below the paraboloid (z= 4-x^2-y^2) and above the xy plane.
Find all critical points of the function f (x) = -3x x + 2 Create a sign chart for the first derivative and based on the sign chart state intervals where the function is increasing and decreasing state exact values for the x and y coordinates for ..
Please outline the specific problem, your solution and how the specific problem solving guidelines were applied. Be sure to carefully tell us how you applied each of the guidelines to your problem.
Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins in all did she have?
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