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The sides of the triangle are on the lines 3x - y - 5 = 0, x + 3y - 1 = 0 and x - 3y + 7 = 0. Find the equation of the circle inscribed in the triangle.
The sleepers of a railway track which is turning round a bend of radius 60m are banked so that a train traveling at 40 km/hr .
A circle is the set of points that lie at a constant distance from one point, the center of the circle.
Using area integral in plane polar coordinates, calculate the total mass of the disc, in kg, when R=0.29m and k=25.02kgm^-2.
Find the points of intersection (if any) of the given pair of curves and draw the graphs.
For each of the following functions, find the maximum and mimimum values of the function on the circular disk.
Give an example of a non-rectifiable closed Jordan curve on the interval -1<=t<=1.
Find the area of the surface obtained when the graph of y=x^2 , 0<= x <= 1, is rotated around the y axis.
Compute the curvature k(t) of the curve r(t) = 2t i + 4sint j +4cost k
Formulate a linear optimization model to determine the optimal values of the parameters. Assume that the objective is to minimize the maximum.
Find the unit tangent and principle normal vectors at an arbitrary point h(s). Find the curvature k(s).
Use ?f to determine the normal vector then use "vector dot product" method to find the tangent line equation.
Show that the greatest common divisor of (?3)(x) and "x^5 -x" is "x(x-1)." Use part (2) to show that the 3-torsion points in E(F5) are {Origin,(0,1),(0,-1)}."
A curve is traced by a point P(x,y) which moves such that its distance from the point A(-1,1) is three times its distance from the point B(2,-1).
Calculate the area under the curve y=1/(x^2) above the x-axis on the interval [1, positive infinity].
Find unit tangent and normal vectors at the given point, find the curvature of the given plane.
If the task has a 90% learning curve what would be the expected time of the 100th, 200th and 400th unit?
The equation R(t)=sint(i)+cost(j)+logsect(k) (0 less than or equal to t and t is less than pi/2)
Fill in the answers for each table below. Please report your z scores to two decimals and your p values to three decimals.
Use the information from the completed table and the graphs to identify the three stages of production.
Set up the integral, use the substitution method( reverse chain rule), and express your answer in radical form. (ex v(2), not 2.141).
Let f(x,y) be an infinitely differentiable function. Consider the surface z = f(x,y). Show that K(0,0) = f_xx(0,0) f_yy(0,0) - f_xy(0,0)^2.
Provide electrical power: objective 30 amps; min 10 amps; max 50 amps.Generate a value curve using Excel for the following problem.
Apply curve-fitting techniques and interpret the results. As such, your work will include doing scatterplots, determining the equation.
Calculate the components of the tangent vector to the curve in both Cartesian and spherical polar coordinate systems.