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Evaluate the derivative of the given function by using the definition of derivative.
Find the derivative of the following function by using the definition of the derivative: f(x) = 2x2 + 5x - 2. Submit your answer showing all steps of work via e-mail as soon as you finish the exam.
Formulate a new hypothesis statement and perform the five-step hypothesis test on the data.
a 34% solution is mixed with a 66% solution to produce 216 liters of a 42% solution. How many liters of each solution were mixed?
Use Newton's Method for three steps to find the cube root - Evaluate the Newton's method discrete-time dynamical system to check your answer for the first step and compute the next two values.
10% of all doctors recommend a new headache medicine. if we randomly select 20 doctors (and assume independence), find the probability at least 2 recommend the medicine.
A closed cylindrical can is to have a surface area of S square units. Show that the can of maximum volume is achieved when the height is equal to the diameter of the base.
If the merchant samples the fruit, what are the probabilities of accepting a Good box, accepting a Bad box, and not accepting the box? What are these probabilities if he does not sample the fruit
23 cars had only air conditioning, 63 cars had only automatic transmissions, and 28 cars had only power steering. 10 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not pow..
The function f is differentiable on the interval [-1,1]. The table shows the values of f' for selected values of x. Sketch the graph of f, approximate the critical numbers, and identify the relative extrema.
If 80% of a radioactive element remains after 250 million years, then what percent remains radioactive after 600 million years? What is it's half life?
A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)
A balloon rises at the rate of 8 feet per second from a point on the ground 60 feet from an observer. Find the rate of change of the angle of elevation when the balloon is 25 feet above the ground.
A baseball diamond is square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
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