Use the table of values of f(x,y) to estimate the values of df/dx(1,2) and df/dy(1,2).
Use the table of values of f(x,y) to estimate the values df/dx(1,2) and df/dy(1,2).
A particle moves along a line with velocity function v(t)=t^2-t, where v is measured in meters per second. Find (a) the displacement and (b) the distance traveled by the particle during the time interval [0,5].
A particle moves along a line with velocity function , where v is measured in meters per second. Find (a) the displacement and (b) the distance traveled by the particle during the time interval [0,5].
Sketch grapf of f(y)=y for dy\dt = ay+by^2,a>0,b>0,y>0
A nonhomogeneous second-order linear equation and a complementary function are given. Find a particular solution of the equation.
Proving that the set of units of a ring is a cyclic group of order 4
The set of units of is , how can I show that this group is cyclic?
My guess is that we need to show that the group can be generated by some element in the set, do I need to show that powers of some element can generate all elements in the other congruence classes?
For example , i.e. using 7 we can generate an element in the congruence class of 9, but can not generate 29 for example from any power of 7, so is it sufficent to say that an element is a generator if it generates at least one element in all other congruence classes?
Find a vector function that represents the curve of intersection of the two surfaces of the cylinder x^2+y^2=4 and the surface z=xy.
Brämhults Juice, based in Sweden, produces chilled fruit and vegetable juices. A manager at Brämhults is considering purchasing a new machine to bottle 16-fluid-ounce (473-milliliter) bottles of 100% pure carrot juice and wants an estimate of the differ- ence in the mean filling weights between the new machine and the old machine. Random samples of bottles of carrot juice that had been filled by both machines were obtained. Estimate the difference in the mean filling weights between the new and the old machines? Discuss the assumptions. Use a = 0.10.
Find k such that the following matrix M is singular.
M=⎡⎣⎢−225+k−5933−4114⎤⎦⎥