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Consider the equation z² + (6 -2i)z + (5-2i) = 0. (a) (1 marks) Rewrite the equation in the form z² + pz = q where p and q are complex numbers. (b) Complete the square and write the equation in the form (z + r)²= s where r and s are complex numbers. Write r and s in rectangular form using exact values.
Probability: Problems and Solutions, How many ways are there of drawing a red, a black, and a green ball from a bucket with 2-Red, 2-Black, and 5-Green balls?
on a centimeter dot array, draw all possible rectangles with an area of 16 sq cm and sides whose lengths are whole centimeters. label the lengths of two adjacent sides of each rectangle.
What should the dimentions be for maximum area.
Find the test statistics
How much work was done lifting the sand this far? (Neglect the weight of the bag and lifting equipment.)
two large containers a and b of the same size are filled with different fluids. the fluids in containers a and b are
if a plane can travel 490 mph with the wind and 430 mph against the wind , what is the speed of the plane in still air?
You plan to test the hypothesis about the population mean score (is there significant evidence that it is less than 275?) At the 1% significance level. Give the null and alternative hypotheses. What is the z test statistic?
If a ball is thrown directly upward with a velocity of 28 ft/s, its height (in feet) after t seconds is given by y = 28t - 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
Normal Probability: Diameter of Grapefruits. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.44 inches and a standard deviation of 0.41 inches.
A farmer has 80m length of fencing. He wants to use it to form three sides of a rectangular enclosure against an existing fence which provides the fourth side. Find the maximum area that he can enclose and give its dimensions.
Five ounces of shrimp and 3 ounces of scallops contain 45 milligrams of cholesterol less than the suggested maximum daily intake. Determine the cholesterol content in an ounce of each item.
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