The half life of a certain substance is 27 years. How fast is a 500-gram sample of this substance decaying after 115 years?   Q=Q0ekt   and k=(ln(1/2)/half-life

An ecologist needs to fence in a state park with a rectangular plot. The rectangular plot must have an additional section of fencing across its width. Find the maximum area that can be enclosed with...

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...

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...

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 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...

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...

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...

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 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...