-/10 POINTS SCALCET8 5.TF.006. Determine whether the statement is true or false. 18 If f'is continuous...
-/0.5 POINTS SCALCET8 11.TF.009. Determine whether the statement is true or false. If 0 sa, s bn and Ebn diverges, then Sa, diverges. O True O False Show My Work (Optional) -/3 POINTS Suppose we estimate x2 dx with the Midpoint Rule M. Let A and A, be the areas of the 1st and 2nd midpoint rectangles, respectively. Answer the following questions: M2=
6. [-12 Points] DETAILS SCALCET8 14.5.012. Use the Chain Rule to find Oz/os and Oz/t. z = tan(u/v), u = 6 + 9t, v = 9s - 6t дz as oz at Need Help? Read It Talk to a Tutor 7. [-13 Points] DETAILS SCALCET8 14.5.021. Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y, x = 5 + 2t - u, θz oz oz when s = 4, t = 3, u =...
need help with A, B, C, D, E, and F 3. TRUE or FALSE: TF TF TF c. a. f(x) dx = Is dit b. 1f fix) >for as x sb then / xdx must be > 0 5x)g(x)dx = 1/(x)da) (J8(x)}cx) d. f(x) + g(x)\dx = f(x)dx + [g(x)dx TF er x)dx gives us the total distance travelled between time -a to time -b when f(x) is the velocity. . sende 0 then f(x) must be =0 for as...
31. [-/1 Points) DETAILS SCALCET8 3.3.027. If f(x) = 5 sec(x) - 3x, find f'(x). f'(x) = Need Help? Read It Watch It Talk to a Tutor 32. [-/2 points) DETAILS SCALCET8 3.3.028. If f(x) = 20% cos(x), find f '(x) and F"(x). F'(x) = F"(x) = Need Help? Read it Talk to a Tutor 33. [-/2 Points) DETAILS SCALCET8 3.3.029 If H() = sin(e), find Hle) and H) HO) = HD) -
Problem 1: Determine whether the statement is true or false. If the statement is true, then prove it. Otherwise, provide a counterexample. (a) If a continuous function f:R +R is bounded, then f'(2) exists for all x. (b) Suppose f.g are two functions on an interval (a, b). If both f + g and f - g are differentiable on (a, b), then both f and g are differentiable on (a,b). Problem 2: Define functions f,g: RR by: x sin(-),...
1. Determine whether the statement is true or false. If false, explain why and correct the statement (T/FIf)exists, then lim ()f) o( T / F ) If f is continuous, then lim f(x) = f(r) (TFo)-L, then lim f(x)- lim F(x) "( T / F ) If lim -f(x)s lim. f(x) L, then lim f(x)s 1. "(T/F) lim. In x -oo . (T/F) lim0 ·(T / F ) The derivative f' (a) is the instantaneous rate of change of y...
Need help with both 4 and 5 4. ㅢ5 points SCalcET8 10.PP.501.XP. A curve is defined by the parametric equations below. Find the length of the arc of the curve from the origin to the nearest point where there is a vertical tangent line. Need Help? Talk to a Tter Read It Submit Answer Save Progress . 15 points SCalcET8 11.PP.006 Find the sum of the series 2 3 4 6 8 9 12 where the terms are the reciprocals...
#55, 59 In Exercises 55 and 56, determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. 55. If f is continuous at x = a, then f is differentiable at x = a. 56. If f is continuous at x = a and g is differentiable at x = a, then lim f(x)g(x) = f(a)g(a). X 57. Sketch the...
SCALCET8 11.6.029. DETAILS PREVIOUS ANSWERS 4. [3/4 Points) Use the Root Test to determine whether the series is convergent or divergent. 4 Identify an aft Evaluate the following limit. lim Vlani I Х Since lim Van 1, the series is divergent Need Help? Read it Watch it Talk to a Tutor Submit Answer 5. [1/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.6.031. Use any test to determine whether the series is absolutely convergent, conditionally co Σ(1) In(n) Σ - 2 absolute...
Determine whether the statement is TRUE or FALSE. You are NOT required to justify your answers. (a) Suppose both f and g are continuous on (a, b) with f > 9. If Sf()dx = Sº g(x)dx, then f(x) = g(x) for all 3 € [a, b]. (b) If f is an infinitely differentiable function on R with f(n)(0) = 0 for all n = 0,1,2,..., then f(x) = 0 for all I ER. (c) f is improperly integrable on (a,...