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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.
Develop a model for the calculation above, and prove mathematically that the sum of the first 10 numbers in a generalised Fibonacci sequence .
Determine the sixth term of geometric series a1 = -2, r = 2
For the pulleys , to reduce the effort to keep a block and tackle (which has a mass M at he end) in equilibrium , the necessary force F to furnish.
Could you please prove if S C T, then a)int(S) C int(T) b)ext(T) C ext(S).
Let X be a metric space and x0 in X. Define a function f: X --> R (all real numbers) by f(x) = d(x,x0). Show that f is continuous.
Let X, Y be the subspaces of the plane shown as below. Under the assumption that any homeomorphism from the annulus to itself must send the points.
Make a model for a Klein bottle as shown as below. Cut along the line CD, then identify the two lines labeled AB.
How long is the edge of a cube whose total area is numerically equal to it's volume?
A square is inscribed in a circle of radius 100. The area of that circle which lies outside of the square is shaded.
A customer asks Fran to enlarge a 3 inch by 5 inch photograph to 8 inch by 10 inch. Can this be done without cutting or distorting the picture? Explain.
Calculate the amount of money necessary to fill the whole checker board (64 squares). How much money would the farmer need to give the salesman?