Reference no: EM13192432
1. f(x) = 2x^3 over interval [1,3]. what is f'(x) according to mean value theorem?
2. A function f is continuous on interval [1,3]. A horizontal line is drawn somewhere between the lines y=f(1) and y=f(3). According to the intermediate value theorem, how many times is such a line guaranteed to intersect the graph of f(x)?
3. A circle's radius is increasing at a rate of 1.5 meters per second. At what rate is the circle's area increasing when the radius is 2.5 meters?
4. A rectangular plot of land is to be bounded on one side by a river and on the other 3 sides by a wire fence. If there are 800 feet of fencing available, what is the maximum possible area the plot can have?
5. Suppose that the function f(x) is defined on an open interval about x sub 0 = 5. Also suppose that for every number b>0, there exists a corresponding number a>0, such that for all values of x in the interval, if 0<absolute value of x-5<a, then absolute value of f(x) -7 <b. What are two possible answers?
6. limit as x approaches (-1) of -2x^3 + 4x + 1. Evaluate the limit
7. limit as x approaches theta of (sin theta cos(theta + pi/2)^theta)/theta. Evaluate the given limit.
8. limit as x approaches infinity of 1/(ln x^2-3). Evaluate the limit.
9. Let f(x) = (x-2)/(x^2 -4). Evaluate lim as x approaches 2 of f(x).
10. lim as x approaches 0 of (cos x - 1)^2/sin x. Evaluate the above expression using L'Hopital's rule.
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What is differences between absolute ppp and relative ppp
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How long will they each have the same amount of money
: currently, tyrone has $60 and his sister has $135, both ger an allowance os $5 each week. tyrone decide to save his entire allowance, but his sister spends all hers each week plus an additional $10 each week. after how long will they each have the..
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Explain delta s standard to determind the temperature
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20th century the nation was at a critical turning point
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How many times is such a line guaranteed to intersect
: A function f is continuous on interval [1,3]. A horizontal line is drawn somewhere between the lines y=f(1) and y=f(3). According to the intermediate value theorem, how many times is such a line guaranteed to intersect the graph of f(x)?
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How many 20-pound bags of each mix should be packaged
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Define laws of thermodynamics
: laws of thermodynamics. Why is there no law for the conservation of entropy?
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Rediculous
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Nonprofit organizations may seek funding
: What are some different sources from which nonprofit organizations may seek funding? How might you determine whether a source of funding is appropriate for an organization?
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