-5 5 0 --5 -10 5 PROPERTIES OF THE GRAPH Zeros Domain Range Increasing Int. Decreasing Int. As x→∞, f(x) → As x→ ∞, f(x) → Vertex Line of Symmetry Max? Min?
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A: Explanation of the answer is as follows
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Q: -5 15 10 5 -5 PROPERTIES OF THE GRAPH Zeros Domain Range Increasing Int. Decreasing Int. As x→∞,…
A: All questions are answered by observing the nature of graph.
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A: I am attaching image so that you understand each and every step.
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- Suppose that we observe that X1, X2, . . . , Xn are iid∼ U(0, 1). Show that X(1)converges in probability to zero.Show that F (x, y) = x2 + 3y is not uniformly continuous on the whole plane.Hint: You must prove that there are pairs of points, arbitrarily close together, on which thevariation of F is large, for example, (n, 0) and (n + 1/n, 0).Find the area between the graph of y-5-5x^(2/3) and x-axis and −1≤ x ≤ 8 using the right hand rule of Riemann sums, where n approaches infinity.
- 1. Evaluate the following Improper Integral. Does the limit converge? Whyor why not? 2. Write out the form of partial fraction decomposition and then evaluate theintegral. Help me!Expand x^2y+3y-4 about the point (-1,2) by Taylor's theoremDetermine the exact area of the region bound by the graph of f(x) = −x^2 + 5 and the x-axis on [−1,1] using a right-endpoint Riemann sum.
- Consider the function f(x) = ln(x)/x^5. f(x) has a critical number A = __? f"(A) = __? Thus we conclude that f(x) has a local __ at A (type in MAX or MIN).. In Example 2.4.3, show that fn(x) converges to 0 at each x ∈ [0, 1]. Define fn byfn(x) = n X(0, 1n ](x) = n if 0 < x ≤ 1n ,0 otherwise.In this case limn→∞ fn(x) = 0 for all x ∈ [0, 1]. So here is an examplewhere the pointwise limit of a sequence of Lebesgue integrable functions is Lebesgue integrable. The odd thing is that 10fn = 1 forevery n, but 100 = 0. In other words, here is an example wherelimn→∞ bafn = balimn→∞ fnLet Show that hn → 0 uniformly on R but that the sequence of derivatives (hn) diverges for every x ∈ R.