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Let f(x) = 7x2 + 4x + 3. Find the difference quotient limf(x+h) - f(x)
h-> 0 h
(Remember that h cannot be equal to 0). We want to let h be as small as possible without actually becoming 0, so we use the limit)
Determine the area of the region totally enclosed by the lines y = 3x, x = 3y, and 3x + y = 30. Your problem solution submission must include, on graph paper, the graphs of each of the lines with the (x, y) coordinates
write an inequality to show the maximum amount of money you can spend on trees with a budget of $3,400.
Test Scores: mean=100 variance = 225 Years of Service: mean=5 variance = 81 Of test scores and years of service, which measure has the greater dispersion?
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
Construct a comparative boxplot. Does it suggest that there is a difference between true average extensibility for high-quality fabric specimens and that for poor-quality specimens?
Probability- Considering Failure Rates, The records of Midwestern University show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics
A binary message is sent over a noisy channel. The message is a sequence x1, x2, . . . , xn of n bits (xi 2 {0, 1}). Since the channel is noisy, there is a chance that any bit might be corrupted, resulting in an error (a 0 becomes a 1 or vice vers..
Ten percent of all undergraduates at a university are chemistry majors. In a random sample of nine students, find the probability that exactly two are chemistry majors. (Round your answer to 4 decimal places.)
Differentiate the function f(x)
Let p be a prime. Show that in the ring Z-p (set of integers modulo p) we have (a+b)^p = a^p+b^p for all a, b in Z-p. The following hint was given:
A family made an investment for 1 year that earned $7.50 simple interest. If the principal had been $25 more and the interest rate 1% less, the interest would have been the same. Find the principal and the rate.
use the fx lim h-0 fx h - fxh to find fx. b- find the domain of f. c find and equation of the tangent line to the
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