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?

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.

A tarp has the dimensions of 30cm and 310cm This tarp is held up by a rope in the centre of it, find the maximum usable area underneath it for a 173cm tall person.

A 5000 seat theatre has tickets for sale at $25 and $40. How many tickets should be sold at each price for a sellout performace to generate a total revenue of $141,500?

The Megabus was driving on 101 when it suddenly braked, having a constant deceleration of 18 ft/second-squared. It produced skid marks that measured 190 feet before coming to a complete stop. How...

Find the derivative of y = coth-1 (sec(x)). Simplify if possible. I applied the Chain Rule. -sech(x)tanh(x) _____________ (1 - sec(x)2)1/2 I don't...

Suppose that Alice and Bob both begin driving cars at 10:00pm Friday evening, and that Alice is initially 10 miles to the East of Bob. If Alice is driving North-East at a speed of 50√ 2 miles per...

3. A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find an expression for the number of...

A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It's light is making 3 revolutions per minute. It is found that the beam of light is moving...

A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It is found that the beam of light is moving alon the shore at a rate of 220pi m/s when...