What is the length of the major axis of the following graph? Solution:- This is an ellipse with a center at (0, 0), vertices at (0, -6)…
Month: May 2015
Problem 704
Write the following complex number in polar form. Express all angles in degrees rounded to the nearest tenth. -3 Solution:- -3+0i r = 3 θ = θ =…
Problem 703
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…
Problem 702
Convert the rectangular coordinates into polar coordinates. Solution:- = 16+48 = 64 r = 8 Now we are find θ = = θ = 60° So the poler coordinate (8, 60°)
Problem 701
A woman walks 200 yards west along a straight shoreline and then swims 50 yards north into the ocean on a line that is perpendicular to the shoreline. Using her…
Problem 700
Find (x3-6×2+10)÷ (x-3) using synthetic division. Solution:- x-3 | 1 -6 0 10 | 0 3 -9 -27 ————— 1 -3 -9 -17…
Problem 699
Solve x2 + 6x -7 = 0 by completing the square. Solution:- Solve for x by first isolating the constant and adding the square of half of the coefficient of x to…
Problem 698
The value of a particular investment follows a pattern of exponential growth. You invested money in a money market account. The value of your investment t years after your initial investment is…
Problem 697
Solve the equation: 4x = 64 Solution:- = 64 =x 3 4 = x 3 = x x = 3
Problem 696
Change the exponential statement x4 = 2 into an equivalent logarithmic statement. Solution:- = 2 taking log both sides log = log 2 4log x= log 2 =4
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