Sanka's 2nd 9 Weeks test Essentials for college math 121824

Front

What is the method to find two positive numbers such that the sum of the first plus five times the second is a constant and their product is maximized?

Back

Use optimization techniques, such as setting up a function for the product and applying calculus to find critical points.

Front

Convert 12 m/s to km/h.

Back

12 m/s = 43.2 km/h (Multiply by 3.6 to convert m/s to km/h).

Front

What is the optimal dimension for a rectangular enclosure with a fixed perimeter to maximize area?

Back

The dimensions should be such that the length is twice the width for maximum area.

Front

How do you calculate the total break time if there are multiple sections in an exam with breaks in between?

Back

Total break time = (Number of sections - 1) * Break time per section.

Front

What percentage of a new car's price does a used car represent if the used car costs $12,000 and the new car costs $40,000?

Back

Used car price as a percentage of new car price = (12000 / 40000) * 100 = 30%.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the significance of critical points in optimization problems?

Back

Critical points help identify maximum or minimum values of a function.

Front

How do you determine the maximum product of two numbers given a linear constraint?

Back

Set up the product function, substitute the constraint, and find the maximum using calculus.

Front

What is the relationship between speed in m/s and km/h?

Back

1 m/s = 3.6 km/h.

Front

What is the formula for calculating percentage?

Back

Percentage = (Part / Whole) * 100.