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The altitude of a triangle is increasing at a rate of 1500 centimeters/minute while the area of the triangle is increasing at a rate of 5000 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 12000 centimeters and the area is 100000 square centimeters?
Are the following examples linear transformations from p3 to p4? If yes, compute the matrix of transformation in the standard basis of P3 {1,x,x^2} and P4 {1,x,x^2,x^3}.
Joe wants to sell his horses for 500.00 each and his cows for 300.00 each for a total of 2100.00 for them all. How many horses and how many cows are Joe selling?
A research shows that employee salaries at company XYX, in thousands of dollars, are given by the equation y-hat= 48.5 + 2.2 a + 1.5 b where ‘a' is the years of experience, and ‘b' is the education level in years.
Verify that each of the following are equivalence relations on the plane R^2 (where R are real numbers) and describe the equivalence classes geometrically.
Let h be a differentiable function defined on the interval [0,3], and assume that h(0)=1 h(1)=2 and h(3)=2. a- argue that there exists a point d belong to [0,3] where h(d)=d.
Find the point of intersection of the given pair of straight
Explanation to "Statistics - Probability" question Suppose you randomly place 'r' indistinguishable balls into 'n' boxes. (a) how many different ways do you have
A worker on scaffolding 70 ft above the ground needs to lift a 450 lb bucket of cement from the ground to a point 25 feet above the ground by pulling on a rope weighing 5 lb/ft. How much work is required?
airplane b takes off 60 min. After airplane a and heads in the same direction. If airplane a travels with a constant velocity of 735mph and airplane b travels with a constant velocity of 1070mph, in how many hours will airplane b catch up to airpl..
A beacon on a lighthouse 2000m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500m from P?
a bug is going 2m/ minutes along the diagonal of a terrarium,indicated in the figure in the overview.The terrarium is mounted on a cart going at 6 meters/minutes. What is the speed of the bug relative to the ground.
A retailer spent $48 to purchase a number of special mugs. Two of them were broken in the store, but by selling each of the remaining mugs for 43 above the original cost per mug, she made a total profit of $22. Construct a quadratic equation that ..
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