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Interpretation of derivatives. (HW) 6 points A spring hanging from the ceiling vibrates up and down. Its vertical position at time t is given by f (t) = 4 sin 3t. Find the velocity of the spring at time t. What is the spring"s maximum speed? What is its location when it reaches its maximum speed?
An amount of $48,000 is borrowed for 14 years at 6.25 interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
A polynomial f of x is irreducible over Q if and only if (x+alpha) is irreducible over Q for some alpha belong to q Q is a rational.
A rebtangular reservior contains 42000 litres of water.find the depth of water in the reservior if its base measures 6m by 3.5m.
Each side of a regular pentagon has a length of 101mm. correct to the nearest mm. What is the least possible length of each side in mm?
An electric clothes dryer uses 4,800 W of energy. The dryer is used for 24 hours one month. At a cost of 9.3 cents per kilowatt hour, how much does it cost to use the dryer for that month?
Calculation of a Laplace Transform from first principles
A conical paper cup is to have a height of 15 inches. Find the radius of the cone that will result in a surface area of .
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
When adding or subtracting radical expressions, what must be true about the radicand (the data under the radical symbol) and the index? If the problem does not meet this criteria, what must be done?
Computer analysis showed that the surface of a certain drumlin can be approximated by y= 10(1-0.0001x^2) revolved 180 about the x-axis from x= -100 to 100.
A weight-loss program guarantees, "You'll lose weight within two weeks or we'll refund your money plus $10!" Using α = 5%, perform the sign test of the median paired difference to determine whether the median weight of these twelve participants decre..
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
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