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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.
consider a and b are symmetric. illustrate why the following are symmetric or not.1 a2 - b22 aba-b3 aba4 abab5
if a ship is off shore a length of 18 miles to observe, bearings are 35E & 37 E. what is the shortest distance to shore.
for recommendations on which laptop to purchase consumers look at the ratings provided by consumer reports. a sample of
Three-person Problem of Points
A rocket has shot in the air with an initial velocity of 800 m/sec. The equation h=-16t (squared)+ 1440t models the height of the ball. How long does it take for the rocket to hit the ground. (h=0)
Theory class
fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
Describe the appropriate sampling distribution model - shape,center and spread - with attention to assumptions and conditions. Make a sketch using the 68-95-99.7 Rule.
Probability and Statistical Methods. A manufacturing intraocular lens is in a process of verifying a polishing machine. The polisher will be accepted only if the percentage of polished lenses containing surface defects does not exceed 1.5%
Sketch all the nonisomorphic, simple graphs that have 5 vertices and 5 edges.
A plane travels 170 miles on a bearing of N18 degree e and then changes its course to N 49 E and travels 120 mi . find the total distance traveled north and the east.
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