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1. Use the Pythagorean identity sin^2 x + cos^2 x = 1 to show that 1 + cot^2 x = csc^2 x.
2. Prove that tan^2 x + 1= sec^2 x for all angles (x) and use 80 degrees to verify the identity.
if f and g are differentiable function on [a,b], what identifies the extrema of f+g or fg. Do these extrema relate to the extrema of the functions?
For the given function, (i) list all prime implicants, indicating which are essential. (ii) Show the minimum SOP expression.
A student submits an order for 23 pizza making kits with a check for 187 dollars. He doesn't remember how many pepperoni and cheese he ordered, just that pepperoni is 9 bucks and the cheese is 7. How many of each were ordered?
Similarly, one additional unit will be occupied for each 1 dollar decrease in rent. What rent should the manager charge to maximize revenue?
Scores on the GRE (graduate record examination) are normally distributed with a mean of 510 and a standard deviation of 148
Find the probability of having no more than three boys
Does multiplication of two imaginary numbers imaginary or real? if i multiply 2i and 3i then it is = -6 which is real .if √-3 and √-2 are multiplied then it gives - √6 which is real . but if i do the same thing like this √-3 * √-2 =√{(-3)*(-2)} =√6 w..
which station is really selling the cheaper gas and how much cheaper is that gas?
Find the fundamental matrix for differential equation.
the terminal side of ? lies on a given line in the specified quadrant. find the values of the six trigonometric
the population of a city can be modeled by p=125000 e^0.02t where t is the number of years since 1990. what was the population in 1995?
A triangular plot of land has sides of lengths 320 feet, 250 feet, and 80 feet. Approximate the smallest angle between the sides to the nearest tenth of a degree.
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