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For the following two planes x + 2y - 4z =8 and 6x - 2y + 3z=6
(a) Find the angle between the two planes.
(b) Find parametric equations for the lone in which the two planes intersect.
(c) Find an equation of the plane that is perpendicular to the two planes and containing the point (5, 1, -2).
Debra drove 430 miles using 18 gallons of gas. At this rate, how many gallons of gas would she need to drive miles 301?
Examine the end behavior of the function (i.e. compute the limits at ±∞.) Sketch a rough graph that matches with your answer.
Express the total amount of heat stored in the bar as a function of time, and then show that after five hours the amount of heat remaining in the bar is approximately 16.38% of the amount initially stored.
spotlight on the ground shines on a wall 10 m away. if a man 2 m tall walks from the spotlight toward the buidling at a speed of 1.4, how fast is the length of his shadow on the building decresaing when he is 5 m from the building.
Find the empirical probability that an iris bulb of this type will bloom. Give answer as a fraction in lowest terms. How many of the bulbs should she plant next fall if she would like at least 52 to bloom?
Although his height is only 5 ft 7 in., Spud Webb, formerly of the Sacramento Kings, had a vertical leap of about 44 in. What is his hang time?
a local dunkin donuts shop reported that its sales have increased exactly 22 per year for the last 2 years. this years
Evaluate integral of [z/(z^2 + 2z + 5)] dz , c = unit circle ,Z here is a complex number isn't the integral value be zero because z = -1+2i & z = -1-2i both singularities lies outside the contour ?
A lighthouse is fixed 190 feet from a straight shoreline. A spotlight revolves at a rate of 12 revolutions per minute, (24 rad/min ), shining a spot along the shoreline as it spins. At what rate is the spot moving when it is along the shoreline 11..
Find the equation of the tangent for the following function:y = 3x2√3+x2 , at x = 1.
Construct a diagram to plot the positions and directions of both runners. Use trigonometry to find coordinates of points where buddy changes his direction.
If a body of a mass m starting from rest is given a constant acceleration of a,then after time t,its velocity is v=at and its kinetic energy is E=1/2mv^2. If a mass of 0.5 tonne starting from rest is given a constant acceleration of 2.0 m/s^2, fin..
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