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Let r be a vector-valued function of t for 0 ≤ t ≤ 1. Suppose that r(0) =<1,1,1>, suppose that r(1) is in the x,y plane, and suppose that r′(t)×<1,2,3>= 0 for all t. What is r(1)? What does this tell us about r(1) - r(0)?
Draw a scalene triangle and label the vertices, A,B, AND C. The side opposite vertex A is line segment BC. Find the midpoint of line segmentBC by constructing the bisector of line segmrnt BC. label the midpoint M.
In traveling three-fourths of the way around a traffic circle a car travels 0.217 mi. What is the radius of the traffic circle?
Writ a polynomial function that represents the possible area of the rectangular design in terms of the with of the border.
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
Due to roadwork ahead, the traffic on a highway slows linearly from 55 miles/hour to 15 miles/hour over a 2000-foot stretch of road, then crawls along.
A missile is launched and travels along a path that can be represented by y = vx. A radar tracking station is located 2.00 km directly behind the launch pad.
Chuck travels 117 miles in the same time that dana travels 105 miles. If chuck rate of travel is 4mph more than dana's, and they travel the same length of time, at what speed does chuck travel?
How many TV sets should the company manufacture each day to maximize the revenue and what is the maximal revenue?
a deposit of 12,000 is placed in a savings account that pay 5.6% interest compound daily. how much money can be withdrawn at the end of 8 years if the principle remains in the bank.
What was the initial size of the culture?
In the formula T = P - D T represents total installment payments, P represents installment price, and D represents down payment amount.
Solve the initial value problem: dy/dx + (2xy2)=0 y(2)=1/5
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