Problem 4: Fundamental Theorem of Calculus Fundamental Theorem of Calculus I (15 Points, 3 Points Each)...
3. [-/1 Points] DETAILS SESSCALCET2 5.4.010. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x) - √6+3 dr h'(x) - Need Help? Read It Talk to a Tutor 4. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALCET2 5.4.011. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. YE - franx et + Je at y - sec?(tan(x))V6 tan(x) V tan(x) x Need Help? Read It Watch It...
Using part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 11. (21 points) Using part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (a) f(x) = [ 71 – dt (b) $(a) = Sie a
(4 points) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (6 sin^(t) + 2) dt g'(x) =
Find the derivative using the fundamental Theorem of Calculus, part 1, which states that it (x) is continuous over an interval [a, 01, and the function FOX) is defined by FO) - , then F-xlover [a, b]
(1 point) Book Problem 8 Use part 1 of the Fundamental Theorem of Calculus to find the derivative of F(x) = { "tan(e)dt F'(x) = 1
need help with #4. need to identify best theorem to use and find solution. Table 14.4 Fundamental Theoremsdtb)-a) or Calculus Fundamental Theorem f.dr-un-nA) of Line Integrals Green's Theorem Circulation form) Stokes' Theorem F-nds Divergence Theorem Evaluate the line integral for the following problems over the given regions: 1. F (2xy,x2 C:r(t) (9-2.),0sts3 3X3dy-3y3dz; C is the circle of radius 4 centered at the origin with clockwise orientation. 2. 3. ye""ds; C is the path r(t) (t,3t,-6t), for Ost s In8...
-/1 POINTS SCALCET8 5.3.503.XP. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 96) = [ x2+3 dx g'(N) = Need Help? Read It Talk to a Tutor
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. F(x) = ° V2 + sec(26) de [tine. [° v2 + sec(24) d = - [*v2 + secl 2) d] F'(x) Need Help? Read It Watch It
problem 1, 2-1, 2-2, 3, 4 and f is nonnegative A strange way of differential equation solving without know- ing the Fundamental Theorem of Calculus. ! 忑(x) = f(x), 0 < x < 1, Consider a differential equation where f : [0, 1] → R be in C(0,1)) We prove that there is a solution u e C(a,b) of this differential equation without using the fundamental theorem of calculus but using that any continuous function is a limit of piecewise...
showing multivariable calculus functions are differentiable Please help! 2. Recall that by Theorem 3 of Section 14.3, a function f(x,y) is differentiable if its partial derivatives fa and fy both exist and are continuous. (a) Use this idea to show that the function f(x,y)-esin ry is differentiable. (b) Let o be a differentiable function and f(,)Jy Find the partial derivatives of f and determine whether they are continuous. Hint: The Fundamental Theorem of Calculus gives us that Ø has an...