Problem 715

Find   z*w . Leave your answer in simplified polar form. Express all angles in degrees rounded to the nearest tenth.   Solution:-   z * w =2(cos140+i sin 140) * 7(cos65+…

Problem 714

Solve ≤ -5   Solution:-   -5 ≤ -5(x-7) -5 ≤ -5x + 35 (divide both side -5) 1 ≥ x -7 ( add 7 both sides) 8 ≥ x x ≤ 8  

Problem 712

A fire truck is en route to an address that is six blocks east and seven blocks south of the fire station. Using the fire station as the pole and…

Problem 711

Identify the conjugate of the complex number  10 + i   Solution:-   The conjugate of the complex number a + bi is the complex number a – bi  . 10 –…

Problem 710

  The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ). y = x   Solution:-   x = r * cosθ y = r * sinθ give…

Problem 709

Find z*w . Leave your answer in simplified polar form. Express all angles in degrees rounded to the nearest tenth. z = 9(cos45+I sin45° ) w = 3(cos10+isin10°)   Solution:-   z.w…

Problem 707

You want to make an investment in a continuously compounding account over a period of ten years. What interest rate is required for your investment to double in that time…

Problem 706

What is the length of the minor axis of the following graph?     Solution:-   This is an ellipse with a center at (0, 0), vertices at (-5, 0)…