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...

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...

I know to suppose (x^5)+(e^x)=0 has two distinct roots. f(a)=f(b)=0 with a/=b , there exists a c E(a,b). Now I am stuck.

I'm not sure how to start this one. All I know is sec^2 is (1/cosx)^2 is this right?

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...

Find the following: d/dx of integral from t to t^2 of v(w)dw integral from t to t^2 of v(w)dw second derivative of integral from t to t^2 of v(w)dw Calculus...

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...

1st: x^2+y^2=25, z=2; 2nd: x^2+y^2=16, z=3

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...

This is for my homework I need an explanation of how to do this. please

how would you find the power series representation of x2ln(3-x) using term by term differentiation or integration?

A long level highway bridge passes over a railroad track that is 100 feet below it and at right angles to it. If an automobile traveling 45mph (66ft/s) is directly above a train engine going 60mph...

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

use cylindrical coordinates to evaluate the triple integral that gives the mass the solid lying under the cone z=10-√(x2+y2), and above the xy-plane, if the density p is given by p(x,y,z)=x2+y2+z2...

Use the divergence theorem to evaluate I=S∫∫(4x+3y2+z)dS, Where s is unit sphere x2+y2+z2=1.

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>...