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At the point (1, 2), the line y = 3x-1 is tangent to the graph of f(x) = Ax3 + Bx2 + C, where A, B, and, C are all real numbers. if f''(1)=0, find the values of A, B, and C.
Solve. Write ratios as fractions in simplest form. For one month, a family spent $320 for food and $480 for rent. Find the ratio of the DIFFERENCE of the amount spent for food to the amount spent for rent.
a plane is flying horizontally at an altitude of 2 mi and a speed of 400 miles per hour passes directly over a stadium. find the rate at which the distance from the plane to the stadium is increasing when the plane is 4 mi away from the station?
Test using the traditional approach with α = 0.05
Calculate the work against gravity required to build a tower of height 70 ft in the shape of a right circular cone with base of radius 14 ft out of brick.
In 1996 the mean monthly bill for cell phone users was $45.70 with a standard deviation of $22. In 1997 the mean monthly bill for cell phone use for a sample of 41 phone bills was $42.40. At the 5% significance level, is there sufficient evidence ..
This question is basically belongs to Mathematics and it is about finding the point of intersection of two straight lines.
Find the point of intersection of the given pair of straight
what is the hub/authority score of a node after one iteration?
What are the vertical and horizontal forces of a 1200 N force directed to the right and upward at an angle of 43 degrees with the horizontal?
If the weight is pulled down 1ft below its static equilibrium position and then released from rest at t = 0, find its position function x(t). Find the frequency, time-varying amplitude, and phase angle of the motion.
A tank initially contains 10 gallons of brine in which 3 pounds of salt are dissolved. A brine containing 2 lb/gal of salt runs into the tank at the rate of 2 gal/min. The mixture is well stirred and ows out of the tank at the rate of 1 gal/min.
Put a ring around the equator. Now, cut it, enlarge it by 6 feet, and put it back. How far out from the earth will it be? (The Earth's radius is 4000 miles.) a) a negligible amount. b) a ladybug might be able to crawl underneath the ring.
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