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Let f(ac) = 202 - 72. (A) Find the slope of the secant line joining (3, f(3) ) and (8, f(8)). Slope of secant line
Let f(ac) = 202 - 72. (A) Find the slope of the secant line joining (3, f(3) ) and (8, f(8)). Slope of secant line = (B) Find the slope of the secant line joining (6, f(6)) and (6 + h, f(6 + h)). Slope of secant line = (C) Find the slope of the tangent line at (6, f(6)). Slope of tangent line = (D) Find the equation of the tangent line at (6, f(6)). y =The point P(2, 2.5) lies on the curve y = 2. If Q is the point (x, >), find the slope of the secant line PQ for the following values of x. If x = 2.1, the slope of PQ is: and if x = 2.01, the slope of PQ is: and if x = 1.9, the slope of PQ is: and if x = 1.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(2, 2.5).The point P(4, 7) lies on the curve y = + 5. Let Q be the point (at, x/E + 5). 3.) Find the slope of the secant line PQ for the following values of ac. (Answers here should be correct to at least 6 places after the decimal point.) [far 2 4.1, the slope ofPQ is: 9', [fat 2 4.01, the slope ofPQ is: a; [fat = 3.9, the slope opr is: i, Ifac = 3.99, the slope ofPQ is: f. b.) Based on the above results, estimate the slope of the tangent line to the curve at P(4, 7). Answer: f
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