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(a) Consider f(x)=3+2(1/3)^(-2x)
(i) Bring to the form of f(x)=ab^(x)+k use properties of exponents.
(ii) What is the initial value?
(iii) Is it the exponential growth or decay function?
(iv) State the domain and range.
(v) Sketch the graph.
(b) Find an equation of a function f passing through points (-1, 1) and (2, 3) if (i) f is a linear function.
(ii) f is an exponential function. Round your results to two decimal places.
Find a linear function for the value of the car at time t in years. Define variables clearly. Graph the function you found in part A.
Joshua draws two ping-pong balls from a bowl of twenty ping-pong balls numbered 1 to 5. Provide a sample space for this experiment if
Let G be a graph. Then G is planar (resp. outerplanar) if and only if each block of G is planar (resp. outerplanar) ? Let G be a ring graph.
Basic probability problems
1. Please discuss whether you think economic duress is a valid ground for cancelling a contract? Please explain. 2. What limitations on the economic duress defense would you propose? Please discuss.
Write the algebraic expression for the following cases. Write the coefficient of x in the following expression. Find the sum of a2-7ab+b2 and 8ab-7b2-3a2 by arranging the terms in columns.
The National Center of Education Statistics conducted a survey of high school seniors, collecting test data on reading, writing, and several other subjects.
Mary works due north of home. her husband Juan works due east. They leave for work at the same time. By the time Mary is 3 miles from home, the distance between them is one mile more than Juan's distance from home. How far from home is Juan?
How fast is the distance between the cars increasing two hours later?
the aliens said a certain number of humans could tour their spaceship. if the humans entered the ship in groups of 234
A parallelogram has side lengths 15.4 and 9.8 . Its area is 72.9. Find the measure of the largest angle.
The dean of the Western College of Business must plan the school's course offerings for the fall semester. Student demands make it necessary to offer at least 30 undergraduate and 20 graduate courses in the term.
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