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Compute the derivative of the function using the difference quotient and find the equation of the line that is tangent to its curve for x=c
1. f(x) = x^2-3x+2; c=1
2. y = (x+7)/(5-2x); c=1
Find the first and second derivative for for the next 3 problems
1. y=6x^5-4x^3-5x^2-1
Evaluate which equations are under-identified, just-identified, and over-identified.
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.
You want to order T-shirts for your organization. The price is $15 for each T-shirt and $10 for shipping. Write an expression for the amount of money this will cost you.
At the the Pittsburg zoo, children ride a train for 25 cents, adults pay $1.00, and Senior citizens 75 cents. On a given day, 1400 passengers paid a total of $740 for the rides.
A sample of 100 provided a sample mean of 75.7. The population standard deviation is known to be 12. At 0.01 level of significance, what is your conclusion? Use either the p-value approach on the critical value of approach.
Find the solution of the given linear equation - Evaluate the time and the height at which she opens her parachute.
A significant difference in the average amount
Evaluate the matrix of transformation
Given f(x)=x^3 on [0,1] and the partition P={0,1/8,1/3,2/3,1}, find four different Riemann sums R(f,P). Show that Chi_Q is discontinuous at every point where Chi_Q is the characteristic function for Q - Rational numbers.
Confidence interval for population proportion of drug test.
Conditional Probability of Drawing Different Kinds of Cards. A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
Show that these topologies are the same and What is the resulting space and identify the familiar quotient space given by this relation and then show precisely that the quotient topology on this space is the same as the usual one.
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