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Suppose that a straight line is given by L(t) = (1+t, 2+t, 3-t), - ∞ < t < ∞. Let S be the plane which contains this line and the point (2, 0, 1). Find an equation for the plane S.
how can equations and inequalities help a business maximize profit or minimize costs? What is the importance of understanding hoe to set up and solve equations and inequalities.
Draw a different rectangle farm whose perimeter is also 16 centimeters. Label the length of its sides.
Let R be the region bounded by the graphs of: y = x - sinx, y = pi and x = 0. Use a double integral to calculate the area of the region R
Convergence and Divergence: find an infinite series of the given absolute function by using the fact give also estimate natural log of values by substitution
Explain how you would use probability, statistics and geometry in the computer forensics field, give one example of each to illustrate the concept.
Let R represent a county in the northern part of the united states, and let S(x,y) represent the annual snowfall at the point (x,y)in R. Give the interpretation of:
Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
Use the distance formula to find the set of points S satisfying the condition that every point P(x,y) in the set is an equal distance from the line y=-2 and the point (0,2).
Please prove the following theorem: A system of linear equations has zero, one or infinitely many solutions; there are no other possibilities.
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
If the diameter of a sodium atom is 3.14×10^-8 , how many sodium atoms would fit along a line exactly 9.00 inch long?
How many of the students surveyed took math, English or physics? How many students took none of the three subjects?
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