nst. . Decide whether the fo lowing is convergent In the con ver or ०१en1 ९ase ८a्रlवnee ५e 6+1)4"+ 5^** +(-5)~ in an:= t.

Q: The figure below shows the derivative f' of f. f ' (x) 4 10 + x मुंह 2 6 8 12 (a) Choose all…

A: We know Function increasing when f'x≥0Function decreasing when f'x≤0

Q: Let xn -> 0 and (yn) be bounded. Prove xnyn -> 0.

A: A sequence is bounded if it is bounded above and below, that is to say, if there is a number, k,…

Q: Suppose X~N(196,20). Find x such that Pr(X > x) = 0.619.

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: 6 fla) 【うt+1} tx4)

A: given,        fx=3x4+1x3+4

Q: Given fex) End (f-')'(5) 2X

A:

Q: Suppose f(x) is continuous on [3, 8] and -5 < f'(x) < 3 for all x in (3, 8). Use the Mean Value…

A:

Q: [11 sec²(x) dx convergent divergent

A: We have to check that given integral is convergent or not.

Q: f(x) = e^-1/x^2 show that there is no positive number M such that each natural no n, |f^n(x)|&lt;…

A: We need to prove that there is no positive number M such that each natural number n,

Q: Use the limit definihon of the that gex)= derivative to show 9(x)= 3 3 has denvahre X+5

A:

Q: 2. If / is continuous on (-0, 0), what can you say about its graph?

A: If f is a continuous function on the interval (-∞,∞) then its graph will be→ a smooth uninterrupted…

Q: Let f(x,0) e*(1 – 0)"¯, then the exponential form for this pdf can be written as expin)-x innti - 6)…

A: The given statement is false. Therefore the second option is correct.

Q: If |z|=1,show that (z^-1) =(z congegate)

A: Given z=1 We have to show that z−1=z¯ Since, z=1 ⇒z2=1 We know that z2=zz¯

Q: Use the comparison or the limit test to find if the integral converges or not.

A: ∫394x-16x2-9 ·lnx-3dx

Q: Suppose fx) is a continuous function. Then a function F(x) Such that F'(x) =f{x) is called:

A: Given:- Suppose f(x) is a continuous function Then a function F(x) F'(x) = f(x) is called

Q: Show with the middle value theorem that the second derivative f'′ has at least one zero (for this…

A:

Q: 5. (Section 4.2) Use 4 equally sized subintervals to approximate the area under the graph of 1. f(x)…

A:

Q: The graph of f is shown in the figure. 6. 4 х 14 -4 -6+ 2-

A:

Q: 1. The function(x)=x-1 has a discontinuity, say where and justify the response. Classify the…

A: Given f(x)=x4-1x-1. to check the discontinuity of f(x).

Q: *) = (" ; ') - Show that :

A:

Q: Suppose that f(1) = 4,| f(4) = –6, f' (1) = 6, f'(4) = 3, and f" is continuous. Find the value of 1…

A: Given: I=∫14xf"xdx, f1=4, f4=-6, f'1=6, f'4=3 For evaluating given integral, we will use integral by…

Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

A:

Q: Let f (x) = + 2. 5. 131 - 4. 3. 2. On of the theit f(x) following which Interval concate dowr

A:

Q: Given the following valid joint pdf: (3x^2+2y-1)/56 for 1<x<22<y<6 What is the approximate P(1<x<…

A: Given pdf is:f(x, y) = (3x2+2y-1)/56, 1&lt;x&lt;2, 2&lt;y&lt;6

Q: . Sketch a graph of a function f that is continuous ón (-0, 0 such thát f'(x)Ó on Eo,o); f'(x) < O…

A:

Q: show that e^(4t-3t^2) cannot be a moment generating function

A: Moment Generating Function:                The Moment Generating Function is the expected value of…

Q: 4) Population of a forest of tree at year t is represented by y = 115(1.025)*. A second forest's…

A: According to our terms and conditions I have solved first 3 parts for next question repost

Q: Let 7(t) = Find 7'(t) デ'() = Answer preview:

A: We have to solve