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Use Gauss's law to find the charge enclosed by the cube with vertices {(+/-)1,(+/-)1,(+/-)1} if the electric field is E(x,y,z) = 4xi+2yj+1zk
Find the equation of a line perpendicular to the line: x = 4 ,and passing through the point: (4,2). Draw a graph of the following linear function and give the domain and range:
Solve without graphing. Find the slope and the y-intercept for the graph of each equation in the given system. Use this information (and not the equations graph) to determine if the system has no solution or an infinite number of solutions.
A boat can travel 46 mph in still water. If it travels 270 miles with the current in the same length of time it travels 190 miles against the current, what is the speed of the current?
What is the probability of creating a mini license plate with an E? A mini license plate for a toy car must consist of a number followed by a T and a vowel. Each number must be a 3, 6, or 9.
You are in the market for oranges. The supply equation (in millions) for oranges is : S(P)= .3p^2 +11P - 40 The demand equation is D(P) = .7p^2 +P - 1
Let alpha = {x_1, x_2, ..., x_n} be an arbitrary orthonormal basis for V. Prove that T is orthogonal iff [T]_alphaalpha is an orthogonal matrix.
Two cables are pulling on a steel beam. Both attached at the same location (0, 0). the first cable pulls with a force of 1 500 newtons at a 76° angle and the second cable pulls with a force of 2100 newtons at a 138° angle.
Probability: Problems and Solutions, How many ways are there of drawing a red, a black, and a green ball from a bucket with 2-Red, 2-Black, and 5-Green balls?
cassandra bought an antique dresser for $500. if the value of her increases 6^ annually, what will be the value of cassandra's dresser at the end of 3 years to the nearest dollars?
From the top of a building 70 meters high, the angles of depression of two objects that are directly east of the observation position are 38° and 25° respectively. find the distance between the objects.
The electrical signal created by a piece of test equipment at a specific point in time is described by the function Vinst(t) = 12 × sin(360 × 60 × 6.3 + 79). What is the maximum voltage produced by the system.
Are there points on the curve y = (x - 1)^2 where Gradient f is perpendicular to the curve? Find the absolute maximum and minimum of the function in the region 1 >= x >= 0 and y >= 0.
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