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The position of a projectile is given by r→(t) = 2i^ + In [sin (t)]j^ + tk^ where sin (t) > 0.
Find the following: the projectile's velocity, the speed of the projectile, the unit tangent vector to the curve, the unit normal vector to the curve, the binormal vector, the curvature of the curve, and the projectile's acceleration written in terms of T→ and N→. ie, find aT^ and aN^ in a→(t) = aT→T→ + aN→N→.
A production run of toothpaste requires a fixed cost of $100,000. The variable cost per unit is $3.00. If 50,000 units of toothpaste will be sold during the next month, what sale price must be chosen in order to break even at the end of the month?
The number of staff personnel needed to handle patients at a medical center is determined by the mean time that patients must wait before being attended to by a physician. For a random sample of 100 previously recorded emergencies, the sample mean..
In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For the change of -glucono lactone into gluconic acid, for example, when is measured in hours.
How many bit strings of length 7 are there? Explain. How many bit strings of length 7 are there which begin with a 0 and end with a 1? Explain. How many bit strings of length 7 is there that contain an even number of ones? Explain.
A poster is to have an area of 250 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
ENGM 6671 Suppose that the engineer wants to be 95% confident that the estimated mean highway fuel consumption rate is within 0.1 `/100 km of the true mean highway consumption rate. How many vehicles should be sent out? Suppose that the company wants..
The radius of a circular disk is given as 26 cm with a maximum error in measurement of .2 cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
the length of a rectangle is two yards longer than triple the width the perimeter is 484 yards. what are the dimensions?
Gandalf knows that Sauron's power can be modeled with the equation P(x) = -x2 - 50x + 10,00. Find out the (time) rate of increase in Sauron's power when the Fellowship is 75 miles from Mt. Doom.
The area of a rectangle is 48 square centimeters. If the length of the rectangle is 8 centimeters longer than the width, how wide is the rectangle?
Got the 1st derivative to be Y'= 1/4 (1+1/x)^-3/4 * (-1x)^-2 Is that correct?
the mean on the math 165 finl exam for math 165 last year was 80 with a standard deviation of 5. What is the cutoff score for a student to be in the top 12%?
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