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Question: Consider the sequence given by a1 = 1, an = an-1 +(2n- 3). Can a technique from this chapter be used to find a closed form? Write out the first several terms of the sequence. Can you intuit a closed form based on the terms of the sequence? (Hint: ) Find a closed form for this recurrence and use induction to prove that the closed form is correct.
AIR TEMPERATURE The air temperature at a height of h ft from the surface of the earth is T = f(h) degrees Fahrenheit.
Solve the initial value problem
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
Suppose p(L) = P F (L) - wL, where F is a differentiable function and P and w are constants. Find an expression for dp/dL.
explain a rational exponent? how are rational exponents related to radicals? give an example of how an expression with
Two trains leave stations 384 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. Finde the value of an angle θ with the vertical when the string breaks.
optimization, A force of 200 pounds acts on the bracket shown in the figure. Determine the vector AB and the vector F representing the force. Find the magnitude of the moment about A by evaluating Ab multiplied F.
What is your advice to return to the equilibrium situation?
For the following set, which number has the largest absolute value?
find the equation of the perpendicular bisector of the line segment between (2,6) and (4,-4). Put equation into slope-intercept form.
Important information about Probability with dice, You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers.
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