Chapter 10.6, Problem 63E

π sin2x sin3x sin5x sin30x sinx - sin6x - sin10x - sin15x) 2 dx

f(x+T) = f(x) f(x) = sin² (x) + cos² (x) T=?

HW: The frame shown in the figure is pinned at A and C. Use moment distribution method, with and without modifications, to draw NFD, SFD, and BMD. B I I 40 kN/m A 3 m 4 m

Q/ Give an example of a simple graph G Such that h (G) is Euler but G is not.

9 / prove that: Let G be agraph with n vertices, ny 2 و the h G has at Least two vertices which are not cut vertices.

/prove that:- Let G be agraph. Then X(G) 3 iff G has an odd cycle.

Find the area bounded by f(x) = sin x, g(x) = cos x in the first quadrant.

If X is a continuous random variable having pdf as shown. Find a) the constant k b) P(X>1) c) X, X², 0%, standard deviation. n(x) k -2 -1 0 1 2

What is one sample T-test? Give an example of business application of this test? What is Two-Sample T-Test. Give an example of business application of this test? .What is paired T-test. Give an example of business application of this test? What is one way ANOVA test. Give an example of business application of this test? 1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75.  (Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you should use the two-tailed p-value from excel file to make a decision about rejecting or not rejecting null. If alternative is directional (e.g., μ < 75), you should use the lower-tailed p-value. For alternative hypothesis μ > 75, you should use the upper-tailed p-value.)   H0 =   H1=   Conclusion: The p value from one sample t-test is _______. Since the two-tailed p-value…