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1. For what values of the constants a and b is the function
continuous on all real numbers.
2. Use the intermediate value theorem to show that the function f(x) = 3x - sin (x) - 2 has at least one root between 0 and 1
3. Find the equation of the tangent line to the given curve at the given point.
a. y = 9 - 2x2 at (2, 1)
b. y = 2 / (1-3x) at (0,2) and at (-1, 0.5)
c. y = 1/ √x at (4, 0.5)
If maximizing profit and producing beer mugs and champaign glasses. with profit of R25.00 for beer mugs while for champaign glasses is R20. The cups are manufactured with a machine which feeds on plastic resins.
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How many riders must you survey (take for test rides) to be 90% confident that the sample proportion is off by no more than five percentage points
In one town 76% adults have health insurance. What is the probability that 8 adults selected at random from the town all have health insurance?
Explain why L'Hopital's Rule cannot be used to find the limit of Lim x→0 e^2x/x
sketch a graph which of y=F(T) where fuel consumption is in the y and temperature in the x - what is the meaning of F'(T)? What are the units?
How many relative maximum/minimum points are there? How many absolute max/min points?
Find the demand function , where is the number of the television sets sold per week.
Identify the most important things you have learned from the course so far. Then, explain the strategies you have used to learn them.
Perform post hoc comparisons if necessary, what conclusions can be drawn from the F- ratio and the post hoc comparisons and what is the effect size, and what does it mean?
The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 1000 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7500 cen..
Compute the p value for the test
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