## 45 Reputation

11 years, 285 days

## Partial Differentiation...

Hello,

A flate metal plate lies on an xy plane such that the temperature T at (x,y) is given by T=10(x^2+y^2)^2 , where T is in degrees and x and y are in centimeters.

Find the instantaneous rate of change of T with respect to distance at (1,2) in the direction of

a) the x-axis

b) the y-axis

## tangent circles...

Maple

How to get the equations of circles A, B, C, such as circle A with center (1,1) is drawn in the first quadrant.

Circle B with radius 2 and circle C are placed so that each circle is tangent to the other 2 circles and the x-axis.

THe 3 circles are on the first quadrant.

1) do it with Maple

2) do it by hand

3) draw the figure

Regards

## find out the optimal angle regarding the...

Maple 12

assuming the skier is projected at an angle theta with respect to the horizontal over a landing incline sloped with an arbitrary angle phi :

xf = (vi*cos(theta)*t=d*cos(phi)

yf=(vi*sin(theta)*t-1/2*g*t^2=-d*sin(phi)

By eliminating the time t between these two equations and using differentiation to maximize d in terms of theta,

we should arrive at the following equation for the angle theta that gives the maximum value of d :

theta = 45° -phi/2  (Answer from a text book)

How can I handle that problem about ski jump with MAPLE  ?

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