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Display the real and imaginary parts for sin z and cos z , where z = x + iy.
Comment: We have
sin z = sin x cosh y + i cos x sinh y
cos z = cos x cosh y - i sin x sinh y
If an open box has a square base and a volume of 96 in. and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
How much energy is needed to pump all the water to the top of the tank? How much energy is needed to pump all the water to a point 3 m above the top of the tank?
a man deposits $500 in a savings account with a 5% annual interest. At the end of ten years how much money will be in the account?
Find the standard matrix of T and compute the area of the image of S under the mapping x-> T(x)
the length and width of the base of a rectangular prism are 5.5cm & 3 cm .. the height of the prism is 6.75cm. find the exact value of the surface of the area of the prism in square centimeters.
the perimeter of a rectangular garden is 114 meters. The length is 6 meters longer than twice the width. find the demensions of the garden.
Probability of Having a Disease when Testing Positive. Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who tests positive for the disease has a 99% chance of actually having..
find the vertical and horizontal asymptotes of the functionfx
The ratio of the number of Chinese boys to the number of Malay boys is 5:3.There are 178 more Chinese boys than Malay boys. How many girls are there in the hall?
The probabilities that a person A and a person B will live an additional 15 years are 0.76 and 0.59 respectively. Assuming that their lifespans are independent, what is the probability that A or B will live an additional 15 years?
How can bad advertising affect market equilibrium
a survey of 1000 registered voters reveald taht 450 people would vote for candidate A in up coming election. If 220,000 people vote in the election, how many votes would the survey takers predict candidate A should receive?
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