The velocity function (in meters per second) for a certain particle, moving in a straight line, is v(t)=t^2-2t-8 for 1≤t≤6   A) Find the displacement of the particle over this period   B)...

The count in a bacteria culture was 300 after 10 minuets and 1900 after 30 minuet. assuming the count grows exponentiall,  what is the initial siz of the cultur?, find the doubling perio?, find...

Question 1 : Given that q(x) is a differentiable function , q'(4)=0 and q"(x)=-2x+9, then q(4) is ... **Explain and justify your answer.** Question 2: Water is being poured at...

The rate of growth of sales (sales per day) for a particular company is predicted to be 45e0.01t, beginning with sales of 800 items on day t = 0. Find a formula for the total number of sales...

a rectangular prism with dimensions l*w*h is expanding its length and width by4m/min and 3m/min respectively, while keeping the height the same how fast is the volume of the prism changing when...

Estimate the area under the graph of f(x) = 1/(x+4) over the interval over the interval [0,5] using eight approximating rectangles and right endpoints.   Rn= ?   Repeat...

A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $9 the average attendance has been 27000. When the price dropped to$8, the average attendance rose to 32000...

A curve y=f(x) defined for values of x>0 goes through the point (1,0) and is such that the slope of its tangent line at (x, f(x)) is \displaystyle \frac{8}{x^{2}} - \frac{7}{x^{7}}, for x>0...

The total annual revenue (in billions of dollars) for the Boeing Corporation from 1990 to 2002 is given by R(t)=-0.1(t-1)2+80 where t=0 is January 1, 1990. The annual revenue (also in...

A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/3...

(tanx/7)/(2x-pi)

A street light is at the top of a 17 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 7 ft/sec along a straight path. How fast is the tip of her shadow moving (away from...