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?

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>...

If f(t)= ⌠1/t (1/x)ln(tx) dx 1/T⌡ where...

In your own words, explain why the method of dividing complex numbers works. What property justifies this process?

the particle is moving along the curve y=sqrtx. As the particle passes through the point(4,2) its x-coordinate increases at a rate of 3cm/s. How fast is the distance from the particle to the...

You can't distribute the natural log? I don't understand.

This is an equation used in a synthetic network generator 〈k〉 = ((2*π^(D/2)*δ*μ*I1) / Γ(D/2) ) * 〈κ〉^2 where 〈k〉 is the desired average degree of the...

Please help me differentiates this.