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Determine local maximum and minimum values (approximate to two decimal places) of function and values of x at which they happen: f(x) = 3.3 + 1.6x - 2.5x3.
At the same time west bound train leaves Toronto to Vancouver travelling at about 70 km/h. How far from Toronto are trains when they pass each other? For how long have they been travelling?
Points Y and Z are same distance from point X on the number line. Coordinate of point X is 8 and coordinate of point Y is 2. Determine the coordinate of point Z?
Provide the system of inequalities which explains feasible combinations of ower baskets and cornucopias that Carmen can make using supplies on hand.
Provided function f(x)=x^3 - 2x + 1. Let c1=-1, c2=0. a. Calculate f(c1). Find slope of tangent at c1, and similarly at c2. Explain your observations.
The curved shape has the area of 21.9 units2. Using one triangle approximation, area was found to be 20.3 unit2, and D.O.V was 56. Find Degree of Error, and ratio for first approximation?
If kinetic energy is conserved in the elastic collision, such that KE before = KE after, use triangle to visualize equivalent point in conservation. KE = ½ mv2. Determine equivalence equation
After moving forward 2.1 meters, second protractor reading is 80°. If the height is around 1.5 meters, find height of hill from ground?
Determine single complex data point required to make the regular seven sided polygon, with side lengths of 3 units.
The Sorry State Lottery needs you to choose five different numbers from 0 through 41. Find the probability that you are either Big Winner or Small-Fry Winner?
What quantity of drug is in body right after third tablet? The 32th? Suppose you continue taking tablets, what occurs to drug level in long run?
Determine range R and maximum height H in terms of g if projectile is fired with initial speed of 200 meters per second at the angle of 15 degree and then at angle of 22.5 degree.
Determine ground distance plane should travel until touching down. Compute altitude of plane when pilot start the descent.
Carol has 2400 feet of fencing to fence in the rectangular corral. Determine the expression which represents length and width of corral in terms of its width x.
Determine model that expenses revenue R as the function of price p. (Note that R = zp, unit price times number of units sold) b) Find optimal price, what unit price maximizes revenue? Compute the ma
Number N of bacteria present in the culture at time t, in hours, obeys law exponential growth N(t) = 500e^0.02t a) How many bacteria are present at t = 0 hours? b) When will number of bacteria trip
Width of ellipse will be 5 feet across and its maximum height along center will be 3 feet. Company wishes to place two bright spots at foci of ellipse. How far from center of ellipse will spots be s
Write the function as the piecewise defined function which does not use absolute value. Find intervals (x-values) on which the function is increasing or decreasing.
On third day, his lap time was 71 seconds, and so on. If his lap time keeps reducing in the similar sequence, determine his lap time on sixth day?
The object moves along the line in such a way that displacement after t minutes is given by d(t)=2t^3-6t^2+2 meters, for t>=0. Compute the velocity v(t) and accerlation a(t) of the object.
Assume that when man is in middle of river, a wind of 6 km/hr from southwest starts. In which direction must he steer to move straight across river?
If the ball is thrown directly upward with the velocity of 40 ft/s, its height (in feet) after t seconds is provided by h(t) = 40t-162. Determine maxiumum height attained by ball?
Write first four terms of sequence, Subscript n of yearly salaries for every package. A Subscript 1 is salary for first (initial) year.
For how many minutes of revolution will the seat be above 9 meters? For minutes of one revolution you will be above 9 meters.
A scientits starts with 100mg of the radioactive substance. after 35 hours, 50mg of substance remain. Find how many mg will remain after 54 hours?