Mathematics Calculus Level: Misc Level
Find the minimum or maximum value of y in each of the following functions;
a) y=33-x2
b) y= x2- 2x + 5
Mathematics Algebra Level: Misc Level
Pat travels 70 miles on her milk route and Bob travels 75 miles on his route. Pat travels 5 miles per hour slower than Bob,and her route takes 1/2 hour longer than Bob,s Find the speed at which each of them is traveling.
Mathematics Algebra Level: Misc Level
Solve the inequality x2+12x>0. State the solution set for the inequality.
Mathematics Algebra Level: Misc Level
Ahmed has first half of a treasure map, which indicates that the treasure is buried in the desert(2x+6) paces from Castle Rock.Vanessa has the other half of the map. Her half indicates that to find the treasure,one must go to the Castle Rock,walk,x, paces to the North, and then walk (2x+4) paces to the East.If they share their information, then they can find ,x, and save a lot of digging.What is ,x,?
Mathematics Algebra Level: Misc Level
Debbie plans on investing enough money so that she will have $2000 at the end of two years. How much money will she have to invest now if her money will grow according to the follwing formula; 2000=P (1.025)4?
Mathematics Algebra Level: Misc Level
Solve for y;
2y-2- 3y-1-2=0.
Mathematics Algebra Level: Misc Level
Solve the following equation for value of,m,
5/(2m+6) - 1/(m+1) = 1/(m+3)
Mathematics Algebra Level: Misc Level
Solve the following equation for,x, and check for extraneous solutions;
(4-x)½ - (x+6 )½ = 2
Mathematics Algebra Level: Misc Level
Ifthe width of a rectangle is 1 inch less than its length and the diagonal is 1 inch longer than its length, find the length and the width.
Mathematics Algebra Level: Misc Level
Find the dimensions of a rectangle whose length is 40 inches more than its width and whose perimeter is 300 inches.
Mathematics Algebra Level: Misc Level
Factor completely;
50a2- 40a + 8
Physics Kinematics Level: Misc Level
A particle moves in space.Its position vector at time t is r(r)=t i+ sint j + cos t k. Find the velocity and accelration vectors at time t=0.
Mathematics Vectors Level: Misc Level
Given a=<1,2,3> and b=<4,5,6>, find two different unit vectors, u and v, both of which are perpendicular to a and to b.
Physics Work,Power & Energy Level: Misc Level
Given F=4i-2k; P(0,1,0) and Q(4,0,1), find the work W done by the force F in moving a particle in a straight line from P to Q.
Mathematics Vectors Level: Misc Level
Given a=9i-5j and b=7i-4j, express i and j in terms of a and b.
