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spotlight on the ground shines on a wall 10 m away. if a man 2 m tall walks from the spotlight toward the buidling at a speed of 1.4, how fast is the length of his shadow on the building decresaing when he is 5 m from the building.
Find the critical value at the 0.05 level of significance for a goodness of fit test if there are 6 categories?
To find the rate of increment in the height of conical pile at a particular point using differentiation.
Solve the given equation on the interval 0 ≤ θ ≤ 2π.
63 percent of men consider themselves basketball fans. You randomly select 10 men and ask each if he considers himself a basketball fan. Find the probability that the number who consider themselves basketball fans is (a) exactly eight, (b) at leas..
Write the fraction. There are 100 centimeters in a meter. What fractional part of a meter does 7 centimeters represent?
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
Evaluate the integral (x+y) over the path C, where C is the straight line segment x=4t, y=(16-4t), z=0 from (0,12,0) to (12,0,0).
puss had been called in to Monrovia to get rid of the rats. puss had been told that he could bring as many of his friend as he wished to help him. after a year every cat had killed an equal number of rats;the total was 1,111,111 rats. how many cat..
A flagpole casts a shadow of 20 ft long. If a man 6ft tall casts a shadow 4.3 ft long at the same time, how tall is the flagpole?
Suppose that a telemarketer uses random-digit dialing equipment to call three residential telephone numbers at random. There is a 20% chance of reaching a live person with each call, and the calls are independent. (i) What is the probability that ..
An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane's air speed is 375 km/h, what direction must the pilot fly to make it..
A farmer has 700 feet of fence with which to fence a rectangular plot of land. The plot lies along a river so that only three sides need to be fenced. Estimate the largest area that can be fenced.
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