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Let f be a function given by
x + 2 if x < 0
f(x) =
x if x >= 0
Is there a function g: R ---> R such that g'=f?
Be careful applying definition of the derivative
If a system of nonlinear equations contains one equation whose graph is a circle and another equation whose graph is a line, can the system have exactly one solution?
Evaluate the velocity vector at a particular point, vector projection of acceleration and the length of the curve between two points.
Series convergence - Prove, using the definition, that the following sequence converger
If a one person household spends an average USD 730 per week on groceries, calculate the minimum dollar amount spent per week for the middle 40 percent of one person households. Suppose that the standard deviation is USD 104 and the variable is norma..
Application of the Binomial Distribution to an Aircraft. Suppose you are flying a four-engine aircraft on a 10-hour transoceanic flight. Assume that it has been established that the probability of an engine of the type you have on your aircraft fa..
Prove that if f is continuous at all values of x then so is kf where k is a constant. Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values.
Empirical Probability - Coin Toss. Use the empirical method to estimate the probability. You count 42 heads when you toss a coin 100 times
State null & alternative hypotheses
Two balls are drawn (without replacement) from an urn that contains four red balls, five green balls, and seven white balls
Please solve for the following: Find a particular solution to, Solve: A Second Order ODE y'' + 5y' +4y = -13te^(3t)
Predict the sales price for 30 year old customer, who has a $40000 income and a 7 year old car.
When graphing a linear inequality, how do you know if the inequality represents the area above the line? What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?
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