14x3 valuate the integral and simplify as much as possible like we did in class s....
13. Determine this indefinite integral: S(32x3 + 14x + 9) dx Simplify your answer as much as possible.
2) Evaluate the given integral. Must show all work and simplify as much as possible. 21 Sin e de 5+ 4Cose 0
Evaluate the following integral in cylindrical coordinates. 6 213 16x2 SS S -x2 - y2 dy dx dz e 0 0 X 6 213 16-X2 S ,-x2 - y2 dy dx dz = 0 0 x (Simplify your answer. Type an exact answer, using a as needed.)
please simplify Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible (show your work). (a) L, 8(t)x(t – 1)dt (e) , 8(at)dt (i) cos(10zt) [8(t) + 8(t + 5)] sin (b) 8(t – T)x(t)dt (f) 8(2t – 5) sin nt dt (c) L 8(t)x(r – t)dt cos (x - 5)|6(x – 3)dx (sin ke (B) e*-2 8(w) (k) 6(r – t)x(t)dt (d) (h) Jt-11 t+9 8(1 – 3)đr Problem 2.3 Evaluate or simplify the following...
Thanks in advance The class below represents a group of shapes. For instance, a group could be a square, a rectangle, and a triangle. Implement the area method for the Group class. The area of a group is just the total area of the shapes in the group. For the purpose of this assignment, we will not consider cases where shapes overlap, you simply need to add the areas of the shapes in a group independently. ]:class Group def init...
14 1. (10 marks) Let C be the curve 27x - y = 0 between y=0 and y=4. Sketch the graph of this curve. In each part, set up, but do not ovaluate, an integral or a sum of integrals that solves the problem. (a) Find the area of the surface generated by revolving C about the x-axis by integrating with respect to x (6) Find the area of the surface generated by revolving C about the y-axis by integrating...
1. Suppose that we would like to approximate Sof(x)dx by QU) = 0 P2(x)dx, (1) where P2(x) is the polynomial of degree at most two which interpolates f at 0, 1/2, and 1. (a) Write P2(x) in Lagrange form and prove that Q[F] o [s0 f(0) + 4f 45 (2) +scn)] (2) (b) Consider now a general interval [a, b] and the integral só f(x)dx. Do the change of variables x = a + (b − a)t to transform the...
In my organic chemistry class we just did the resolution of (S)-(+) Ibuprofen enantiomer, and in my lab report it asks us to discuss why the recemate has a different melting range from a pure enantiomer of the same substance, but i'm not realy sure why? DOES someone understand this and can explain this to me, i keep finding different answrers on the internet and one says that its because of affinity? what does that mean?
6. We want to use the Integral Test to show that the positive series a converges. All of the following need to be done except one. Which is the one we don't need to do? (a) Find a function f(x) defined on [1,00) such that f(x) > 0, f(x) is decreasing, and f(n) = a, for all n. (b) Show that ſ f(z) dr converges. (e) Show that lim Ss6 f(x) dx exists. (d) Show that lim sexists. 7. Suppose...
Problem 1.2 As we saw in class, if a sample space S consists of a finite number of outcomes, then it is possible to assign each outcome its own probability. In this special case, the proba bility of an event can be calculated by adding up the probabilities of its individual outcomes. Specifically, if E s1,s2,, Sm), then Additionally, if all outcomes are equally likely, this formula simplifies to P[El-# of outcomes in E ] _ #Of outcomes in S...