The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ). Solution:- x = r * cosθ y = r * sinθ give the equation x^2 +y^2…
Category: General history
Problem 557
What is the range of 2×2 + 1. Solution:- The graph of the function is a parabola. The positive 2 in the equation will make the graph…
Problem 556
What is the range of the following function? f(x) = (4,6), (5,7),(6,8),(7,9) Solution:- Given a set of ordered pairs, the range is found by identifying the y-coordinates…
Problem 480
What is the equation of the following graph? Solution:- Circle with a center at (3, -7) and a radius of 3. (x – 3)2 + (y + 7)2 =…
Problem 429
Fiona kept the following records of her phone bills for 12 months: 55, 50, 64, 54, 71, 57, 55, 48, 66, 71, 59, 70 Find the mean and…
Maximum–Minimum Problems
Maximum–Minimum Problems We have seen that for any quadratic function f(x) = ax2 + bx + c, value of f(x) at the vertex is either a maximum or a…
Problem 359
Problem 359 The Rental Depreciation Problem. The owner of a rental house can depreciate its value over a period of years, meaning that the value of the house declines…
Problem 293
Problem 293 Decide whether the following statements are true or false and justify your answer: a. If n(A) < n(B), then A B. b. If n(A) n(B) , then A…
Problem 254-Taxicab Distance
Find the Taxicab distance from the given graph? Solution The sum of the horizontal and vertical distances is called the taxicab distance in above graph taxicab distance = total horizontal…
Problem 220
Problem 220 A cylindrical can of cleaner holds 1 L of liquid. What is its height if the diameter of the base is 10 cm? Solution 1L=1000 cm 3 …
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