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Suppose r→(t) = cos ti→ + sin tj→ + 3tk→ represents the position of a particle on a helix, where z is the height of the particle above the ground.
a. Is the particle ever moving downward? When? (If the particle is never moving downward, enter DNE.)
b. When does the particle reach a point 18 units above the ground?
c. What is the velocity of the particle when it is 18 units above the ground? (Round each component to three decimal places.)
d. When it is 18 units above the ground, the particle leaves the helix and moves along the tangent line. Find parametric equations for this tangent line. (Round each component to three decimal places.)
find the distance between two ships from the word problem.from a lighthouse the lighthouse keeper sees two ships.nbsp
Determine the probability that a child chosen at random from the school is bussed to school.
after 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount salt in the tank at the end of an additional 10 min.
1. the derivative of a function is given byfx 8x3 - 3x2 6x - 10how does the original function behave at x 2?a. the
Bella requires $80,000 in four years to purchase a new home. What amount must be invested today in an investment that earns 6% interest, compounded annually.
Determine the dean's optimal strategy. The dean of the School of Business at Northern Connecticut State University has been approached by a government agency in Hunan Province, China, to provide MBA training to a group of 30 midlevel officials
the gondola ski lift at keystone colorado is 2830 m long. on an average, the ski lift rises 14.6 degrees above the horizontal.
A certain city block is in the form of a parallelogram. Two of its sides measure 32 ft. and 41 ft. If the area of the land in the block is 656 square feet, what is the length of its longer diagonal?
suppose you have described a null hypothesis and set the significance value at n.describe what happens to the null
a motel clerk counts his 1 and 10 bills at the end of the day he finds that he has a total of 65 bills having a combined monetary value of 227 find the number of bills each denomination that he has.
Research one such composer or artist, and write an essay discussing the role of mathematics in the composer's music or artist's art.
the farmer above can purchase two types of fertilizer. a 50lb bag of crescent fertilizer has 5 units of nitrogen 15
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