Solve the problem.Find the slope of the tangent to the curve of the intersection of the surface 
and the plane y = 1 at the point 
A. 
B. - 
C. - 
D. 
Answer: D
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Another way to approximate the value of e is through the sum 1 + 
+ 
+ 
+ .... The notation n! represents n factorial, which is the product of all the integers from 1 through n. The more terms added to the sum, the closer the sum gets to e. In calculus, we say that the limit of this sum is e. Find the sum of the first k terms, rounded to the nearest hundred-thousandth, and determine how close the result is to e rounded to the nearest hundred-thousandth (2.71828).k = 5
terms A. 2.71667, 0.00161 B. 2.70833, 0.00995 C. 2.71828, 0 D. 2.5, 0.21828
Determine whether the relation represents a function. If it is a function, state the domain and range.{(-3, -6), (1, 3), (3, 0), (8, -1)}
A. function domain: {-6, 3, 0, -1} range: {-3, 1, 3, 8} B. function domain: {-3, 1, 3, 8} range: {-6, 3, 0, -1} C. not a function
Find an equation for the line with the given properties.Parallel to the line x + 3y = 5; containing the point (0, 0)
A. y = - 
x + 5
B. y = 
C. y = 
x
D. y = - 
x
Solve the problem.The surface area S (in square inches) of a cylindrical pipe with length 12 inches is given by S(r) = 2?r2 + 24?r, where r is the radius of the piston (in inches). If the radius is increasing with time t (in minutes) according to the formula r(t) = 
t2, t ? 0, find the surface area S of the pipe as a function of the time t.
What will be an ideal response?