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At what rate is the distance between the two cars increasing 2 hours after car B leaves the intersection? 4. Sand is being dumped from a conveyor belt at a rate of 12 Cubic feet per minute. The coarseness of the sand is such that it forms a pile in the shape of a cone with the radius of the base always 1/2 the height. How fast is the height increasing when the pile is 15 feet high?
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
Let C^3 be equipped with the standard inner product and Let W be the subspace of C^3 that is spanned by u=(1,0,1) and u2=(1/sqrt3, 1/sqrt3, -1/sqrt 3). Project the vector v=(1,i ,i ) onto W.
A ship travels 91 km on a bearing of 40°, and then travels on a bearing of 130° for 138 km. To the nearest kilometer, find the distance from the start to the end of the trip.
The perimeter of a swimming pool is 91m. The width is 5m more than half the length of the pool. Find the length and width of the pool.
If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank.
Determine an equation for the right bisector of the line segment with endpoints P(-5,-2) and Q(3,6)
What is your monthly mortgage payment? How much does your house cost per month including principal, interest, real estate taxes, and insurance?
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
Let R be a set with 2 laws of composition satisfying all ring axioms except the comutative law for addition
graph the two constraints associated with the amount of labor and material that Ryan has available next week. Using your graph, find the set of points that satisfy both constraints: 2X + 1Y
suppose that the cost function in exercise 45 is C(x) = -2.5x+1, where z is the index-fund fee. (the company has a fixed cost of $1 billion dollars, and the cost decreases as a function of the index-fund fee.) find the value of x that maximizes pr..
What is the significance of path independence? How does this relate to energy calculations?
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