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Discuss the concept of the derivative of a function. Provide the following:
a. An explanation of the relationship between the derivative and the slope of a curveb. An example that is relevant to the discussion and supports all claims
A homeowner wants to enclose a 5,800 square feet rectangular garden by a fence in his backyard. If three sides of the fence cost $6.25 per foot and 4th side costs $10.25 per foot,
Rex Corporation accepted a $5,000 8%, 120-day note dated August 8 from Regis Company in settlement of a past bill. On October 11, Rex discounted the note at Park Bank at 9%. What is the note's dicount period?
Draw the unit circle and plot the point P=(3,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
Data and Probability, 1. How many variations in first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners? In a Chinese restaurant, the menu lists 8 items in Column A and 6 items in column B. To order a dinner, the dine..
What is the probability that he obtains a four -digit number less than 3265? A child takes four of the card and places them in some order.
The yearly production of a 5 foot orange tree is 36 pounds of oranges. A 14 foot tree produces 72 pounds. What is the predicted production of an 18 foot tree?
If H and K are subgroup of G, with K a normal subgroup of G, K intersect H=1 and KH=G, then G is called a semidirect product (or split extention) of K by H.
what are the dimensions of the silo (radius and height of cylindrical tower) that minimize the cost of the material? Assume the silo has no floor and no flat ceiling under the dome.
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
Use the Poisson model to approximate the probability. Round your answer to four decimal places.
Prove that if a series of complex numbers sum (c_n) converges to s, then sum (c_n) is Cesaro summable to s.
What is the area of the shaded region below? Assume the hexagon is regular. Use your calculator and round your final answer to the nearest hundredth.
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