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Quiz 9 - Math 1A, section 103
1. (a) Show that of all the rectangles with a given area, the one with smallest perimeter is a square.
(b) Show that of all the rectangles with a given perimeter, the one with greatest area is a square.
he log was 210 feet ahead of you when you noticed it, which unfortunately wasn't soon enough.
Math 104: Midterm 2. Show that the series diverges at x = 1/2 and converges at x = -1/2. What is the radius of convergence of the series? Either calculate it explicitly, or justify carefully using part (a)
Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?
In very cold weather, blood vessels in the hands and feet contract. Calculate dv/dt, the rate of change of the blood flow, at the centre of the blood vessel at that time.
one manufacturers high-quality product rate is 30. recently a sample with size 15 products is collected. among them 3
Use synthetic division to find the function values. f(x) = x^4 - 16; find f(3), f(-3), f(1 - square root of 5)
solve using inequality A car rental company has two rental rates. Rate 1 is $63 per day plus $0.18 per mile. Rate 2 is $126 per day plus $0.09 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking..
Prove that if f is continuous at all values of x then so is kf where k is a constant. Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values.
The base of a solid is a circular disk with radius 7. Parallel cross sections perpendicular to the base are squares. Find the volume of the solid.
A plane flies at a average speed of 300 miles per hour. The expression 300t gives the distance traveled by the plane in t hours. find the distance traveled by the plane in 8 hours.
• Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebra and the Instructor Guidance in the left navigation toolbar. Be careful of how a negative x-term is handled in the solving process. Show all math work arriv..
Model each rule with a table of values and a graph.
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