2. (6 pts) Based on data about the growth of a variety of ornamental cherry trees, the following logarithmic model about these trees was determined: h(t) = 5.105 ln(t) + 6.099, where...

If the region enclosed by the y-axis, the line y=2, and the curve y=3√x (cubed rt of x), is revolved about the y-axis, the volume of the solid generated is? Can you solve without a calculator...

A wooden beam has a rectangular cross section of height h in. and width w in. (see the accompanying figure). The strength S of the beam is directly proportional to its width and the square of its...

Part 1 - The type of bread chosen for this special calculus toast isn't the square sandwich shape, but the kind that is curved across the top. Imagine that the toast is composed of the curved part...

if F(x)=∫0x (t-1)/(t2+9)dt, then which of the following statements are true? I. function F has a minimum value at x=1 II. function F has increase on the (1,∞) III. F’’(x) is negative...

Evaluate the following integrals:   a. ∫∫R (x+y) dA; R is the region in the first quadrant bounded by x=0, y=x2 , and y=8-x2   b. The solid in the first octant...

1) Find the instantaneous rate of change of the velocity at t = 1.5 s 2)Use the trapezoid rule to find the definite integral of the speed with respect to time from t = 0 to t = 3.25 seconds...

Raoul accelerates up the hill. After moving 10 meters, the engine expires. Raoul coasts up the hill, comes to a stop, and then begins to roll back down the hill. Joe calculates that Raoul’s distance...

Evaluate the triple integral of x^2 where D is the region inside the cylinder x^2+y^2=9 which is bounded below by the plane z=0 and bounded above by the plane 4x+4y+z=19 I...

I can't upload the image, so here's a link to an image with the relevant figure.  Not really sure where to start, any help is appreciated.  Thanks! http://imgur.com/a/XsnO4

Evaluate S⌠⌠(∇xF)•ndS  where S is the portion of the ellipsoid x^2+y^2+4z^2=4 below the xy-plane, n points to the convex side of S, and F(x,y,z)= <exp{z^2}, z-y, 3xsiny>...