For the given function f(x) and values of L, c, and ε > 0 find the largest open interval about c on which the inequality |f(x) – L| < ε…
Month: July 2015
Problem 868
Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P. y = 7 – 4×2 , P (-2,-9).…
Problem 867
Find the average rate of change of the function over the given intervals. f (x) = 3×3 + 3, a) [6,8], b) [-4,4] Solution:- a) The average rate…
Problem 866
Find the average rate of change of the function over the given intervals. f (x) = 3×3 + 3, a) [2,4], b) [-2,2] Solution:- a) The average rate…
Problem 865
Find the area, A, between the curves y = ln x and y = ln 2x from x = 1 to x = 4. Solution:- The area…
Problem 864
Find the area of the region in the first quadrant bounded by the line y = 4x, the line x = 4, the curve y = , and the x-axis.…
Problem 863
Find the area of the region enclosed by the following curves y = sec2x, y = tan2x, x = , and x = Solution:- The area of…
Problem 862
Find the area of the region enclosed by the curves y = 9sin x and y = sin (9x), 0 ≤ x ≤ π . Solution:- The area…
Problem 861
Find the area of the region enclosed by the curves 4×2 + y = 4 and x4 – y = 1. Solution:- The area of the region…
Problem 860
Find the area of the region enclosed by the curve 4×2 + y = 4 and x4 – y = 1. Solution:- The area of the region enclosed…
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