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1) A security car with its spotlight on is parked 40 meters from a warehouse. Consider θ and x as shown in the figure. Write θ as a function of x.
2) A weight is oscillating on the end of a spring (see figure). The position of the weight relative to the point of equilibrium is given by
y = 1/14(cos9t - 3sin9t)
where y is the displacement(in meters) and t is the time (in seconds). Find the time when the weight is at the point of equilibrium (y = 0) for 0 ≤ t ≤ 1.
3) The horizontal distance d (in feet) traveled by a projectile with an initial speed of v feet per second is modeled by:
d= (v2/32)sin2θ
where θ is the angle at which the projectile is launched.
Find the horizontal distance traveled by a golf ball that is hit with an initial speed of 100 feet per second when the ball is hit at an angle of θ = 40°. Round to the nearest foot.
the eruption height and the time interval after eruption of a geyser were measured and are shown below. answer part
An estimated 8% of men and O.5% of women are colorblind. If a colorblind person is selected at random, what is the probability that the person is a man?
A car traveling at 40 ft/sec decelerates at a constant 8 feet per second squared. How many feet does the car travel before coming to a complete stop? I end up getting 200 but it comes up as incorrect.
Determine the divergence of the volume integral of Q/r^2 r(vector)over the sphere of radius 5 by solving the surface integral.
Random Variables : Probability, Mean and Variance, Let the continuous r.v.X denote the weight (in pounds) of a package. The range of weight of the package is between 45 and 60 pounds.
Bruce needs 30 five-foot pieces of rope for a school project. The hardware store sells rope by the yard. How many yards of rope will Bruce need to purchase?
Car license plates in California take the form of 1RTY345. If zero cannot be used in the first position and repeats are allowed in the other 6 positions, how many license plates are possible?
cylender find the shaded area diameter small inside cylender is 1 and the height is 5 the shadded area the radius is 3 and the height 5 what is the shaded area.
in a golf tournament aaron won the first prize of $163700&sean came second with $97330. what was the differance between the two prizes ? what would they each have won if they had tied?
A square garden plot measures 180 square feet. A second square garden plot measures 405 square feet. How many more feet of fence will the second garden plot require over that required for the first garden plot?
The area of a parallelogram is 221 yd to the second power. Its height is 13 yd. What is the length of its corresponding base?
Let R be a region in the first quadrant enclosed by the curves of , , and the vertical lines and . Find the area of the enclosed region. Give your answer correctly rounded to two decimal places.
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