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Q and S lie in a circle, radius 7.8 kilometres, centre C. CQis extended by 200 metres to P. PS is a tangent to the circle at S.
1. Write down the length of PC in kilometres.
2. Calculate the length of PS in kilometres
3. Calculate the area of triangle PSC. give your answer correct to 2 significant figures
what are the Unigueness conditions for L1 norm space and why it does not applied very much.
Suppose (V, | * |) is a normed space. If x, y E V and r is a positive real number, show that the open r-balls Br(x) and Br(x + y) in V are homeomorphic.
The x- and y-coordinates of a moving particle are given by two parametric equations.. X= 2t^2+t Y= 2-5t
Find the equation of a line through (2,3,7) parallel to the line of intersection of the planes 2x + y + z = 0 and x-y +7z = 0.
Find the area bounded between the curves f(x) = x2 - 4, and g(x) = 4 - x2. Dose the MVTi apply to f(x) = 4 / x2 on the interval [-4, -2]?
Why do you think many students make sign errors on this type of problem? What would be your advice to a student who has trouble with the signs?
later flying against the wind, the plane travels 690 miles in 3 hours. find the speed of the plane in still air and the speed of the wind?
Formulate a set of first order differential equations and initial values in the variable U1 = y and U2 = y' that is equivalent to the above differential equation.
An employee who produces x units per hour earns an hourly wage of y = 0.35x + 11 (in dollars). Find the hourly wage for an employee who produces 2 units per hour.
Suppose that a certain college class contains 38 students. Of these, are 26 sophomores, 15 are science majors, and 6 are neither. A student is selected at random from the class.
How many different passwords can be formed? b) How many different passwords have no repeated number or letters?
A kid a kid is flying a kite with all 80 feet of string out.The kite is 35 feet above a stop sign.How far is the kid from the stop sign.
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