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A function f having domain the closed interval [a, b] is defined to be convex on the closed interval [a, b] if and only if f(ta+ (1-t)b)≤tf(a) + (1-t)f(b) for any t between zero and one inclusive (i.e., 0≤t≤1). Use this definition to prove that the function f(x) =x2is convex on the closed interval [0,2].
Find the second derivative
SECTION #2 - REVENUE & PROFITS: Discuss how your business will generate money.
An expensive fencing along the lots length costs $20 per fott and an inexpensive fencing along the two side widths costs only $8 per foot. the total cost of the fencing along the three sides comes to $3280. What is the area of the lot?
The smaller of two number is 936. Find their product if their sum is 2360.
a force of 410 pounds is applied to an object produces an acceleration in the direction of the force of 9feet per second.
Find coefficients An and Bn such that this is satisfied.
Prove the statements which are true; note that Venn Diagrams are not proofs - determine whether the following statements are true or false.
At the beginning of an experiment, a scientist has 272 grams of radioactive goo. After 180 minutes, her sample has decayed to 17 grams.
a mixture of 25 g of salt and 54 g of baking soda is poured into 477 ml of water, what is the total mass of the mixture in grams??
Give all relative maxima and minima and when they occur on the interval. Give the absolute maxima and minima and when they occur on the interval. Interpret your results.
a network intrusion software uses two systems to detect intruders. if an intruder is present system a sounds the alarm
Use the Divergence Theorem to evaluate the following integral and find the outward flux of F through the surface of the solid bounded by the graphs of the equations.
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