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Question: Solve the given problem by integration.
An object at the end of a spring is immersed in liquid. Its velocity (in cm/s) is then described by the equation v = 2e-2x + 3e-5t, where t is the time (in s). Such motion is called overdamped. Find the displacement as a function of t if s = -1.6 cm for t = 0.
Show that if for each i, the point p is a deformation retract of an open set W_i of X_i, then the fundamental group of X is the external free product of the groups pi_1(X_i, p) relative to the monomorphisms induced by inclusion.
An item is sold under H.P on a deposit of Ksh 600 and 12 monthly instalments of Ksh 300 each.If the H.Pprice is 12% higher than the cash price, what is the cash price?
the owner of a flower shop has 18 delivery vehicles. suppose that 4 of the 18 vehicles have air conditioning to
A limousine service charges $39 plus $0.20 per mile and a taxicab company charges $1.50 per mile. Write and graph a system of equations for the cost of each ride, find the number of miles for each ride to cost the same, and determine which would b..
A circular sector with radius r and angle theta has an area . Find r and theta so that the perimeter is smallest when A=2 and A=10.
Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?
A building is 479 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 21 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
Write a rational expression for his total traveling time. Evaluate that expression for x = 100 km/hr.
Let A be a 4x5 matrix. If a1,a2,a3 are linearly independent and a3=a1-3a2, a5=a1-2a2-3a4, determine the reduced row echelon form of A.
What is the probability of getting a score of 68 or less on this exam?
Find the present value of Rs. 2,000 due in 6 years if money is worth compounded semi-annually. (b) Ascertain the present value of an amount of Rs. 8,000 42/SEM - I /2011
Consider a basin with a rectangular base, 1000feet inland and 500feet across. let the y-axis be at the shoreline and the x-axis represent the low tide. the basin has a tidal range of 25feet, with the low tide corresonding to y=0. a) how much water do..
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