Express the sum in sigma notation.
+ 
+ 
+ 
A. 
B. 
C. 
D. 
Answer: C
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Provide an appropriate response.Which of the following statements are false?I) For a function f(x), the Taylor polynomial approximation can always be improved by increasing the degree of the polynomial.II) Of all polynomials of degree less than or equal to n, the Taylor polynomial of order n gives the best approximation of f(x).III) The Taylor series at x = a can be obtained by substituting x - a for x in the corresponding Maclaurin series.
A. I and III B. I and II C. I, II, and III D. III only
A function f(x), a point x0, the limit of f(x) as x approaches x0, and a positive number ? is given. Find a number 
such that for all x, 0 < 
< ? ? 
< ?.f(x) = 6x - 9, L = -3, x0 = 1, and ? = 0.01
A. 0.003333 B. 0.001667 C. 0.01 D. 0.000833
Perform the indicated operation and simplify if possible.
A. 
B. 6
C. 6
D. 5
Solve the problem.The formula v = 
can be used to estimate the speed of a car, v, in miles per hour, based on the length, L, in feet, of its skid marks upon sudden braking on a dry asphalt road. If a car is involved in an accident and its skid marks measure 45 feet, at what estimated speed was the car traveling when it applied its brakes just prior to the accident?
A. 40 mph B. 35 mph C. 25 mph D. 30 mph