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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)
the surface are of a cone is 1130ft squared. the radius is 10ft. what is the lateral are of the cone to the nearest whole number? Use 3.14 for pi
Given the functions: f(x) = x2 + 3x and g(x) = -3 + x what is f(x) + g(x) ?Given the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x) ?
The height of the marble h(t) in feet at time t seconds is given by the function h(t) = -16t2 - 54t + 306. How many seconds elapse before the marble hits the ground - Factor out the greatest common factor.
Aldo rented a truck for one day. There was a base fee of , and there was an additional charge of cents for each mile driven. Aldo had to pay when he returned the truck. For how many miles did he drive the truck?
What ordering cost would enable the manager to justify ordering every other day? (Round your intermediate calculations and final answer to 2 decimal places. Omit the "tiny_mce_markerquot; sign in your response.)
You walk 88 yards due south, then 124 yards due west, and then 44 yards due north. How far are you from your staring point?
So, it is desirable to design a system with a variable rate of rotation and a constant rate of movement of the scanning beam along the hallway. Find a model for the variable rate of rotation if |dx/dt| = 2 feet per second.
Consider the matrix A of the linear transformation T in two dimensional space that rotates all vectors 45 degrees in the clockwise direction, and then shrinks their horizontal component by a factor of two.
Sample Question: Binomial Probability Distribution. Assume a binomial probability distribution with n=40 and Ï? =.30(pi =.30) . (Round all z values to 2 decimal places.)
Throughout the discussions in this course, you will be exploring a real-world situation that will involve two related factors that can be measured numerically. You will first conduct some research to collect data and then apply what you learn through..
a survey of 1100 people in a certain city indicates that 850 own microwave ovens, 750 own dvd players and 560 own microwave ovens and dvd players.
if f and g are differentiable function on [a,b], what identifies the extrema of f+g or fg. Do these extrema relate to the extrema of the functions?
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