Using either permutation or combinations: Seven children are to be selected from a group of nine children. a)What is the probability that Danylo is selected as first and Shuying is selected as last in the group?

Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge. -x2 2xe dx

A: Given integral  ∫0∞2xe-x2dx We have to find integral for converges or diverges.

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Q: 5х - 6 5. lim x→-e-X +3 5x6 + 7x5 – x³ + 3x - 25 6. lim x→-m -6x4 – 4x3 + 12x² + 1

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Q: #8 Hi, I asked this question before, but the solution I received doesnt have enough explanation. th...

A: Find the derivative of the function .    f(x)=3-6x2  

Q: 17 yd L-11 vd. Calculate The Surface Area of the image above. Surface Area yd 2

A: Given : Given image is of the right circular cone in which radius r=11yd slant height(l)= 17yd   To ...

Q: +++ = 1 find the second derivative y

A: topic - second derivative of a function

Q: = V16 – x², -2<x<3, is rotated about the x-axis. Find the area of the resulting surface.

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Q: Problem Solving REAL WORLD Alan is painting his deck gray. Use the diagram at the right for 5-6. Eac...

A: We can see that the are that has not paint is in white colour.

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Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. 2+x if x...

A: A function f(x) is continuous at x=a if and only if limx→a- f(x) =limx→a+ f(x) =f(a).

Q: 86 x 85 x 84 x 83 x 82 x 81 can be rewritten as a Permutation

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Q: dx 2+ Vx-4

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Find the local maximum and minimum values and saddle point(s) of the function f(x, y) = xy - 2x – 2y...

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Q: Find an equation for the object's displacement, u(t), in feet aftert seconds.

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Q: Find the minimum value of g(t)=t3−588t+4 on the interval [−7,15]

A: We can find the minimum value as below

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Q: find the second derivative with respect of ds s+a

A: Please see the solution below.

Q: Find the critical point(s) of the function. f(x, y) = 4e-+4y (Give your answer as a comma-separated ...

A: Given the functionf(x,y)=4ex2−y2+4y

Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

A: D)Use the graph estimate the limit of the function f(x) at x=-3  E) does the function is continuous ...

Q: Question 8 What are the domain, range, and period of the function f0) = -3cos(- 20)? Answer in compl...

A: Topic:- function

Q: Find each function value and limit. Use ∞ or co where appropriate. 3x3 - 6x2 f(x) = 10x* +5 (A) f(- ...

A: given f(x) =3x3-6x210x4+5at x = -6f(-6) = 3×-63-6×-6210×-64+5f(-6) = -0.067at x = -12f(-12) = 3×-123...

Q: Use LaGrange multipliers to find the maximum and minimum for the function f(x, y)=x² +2y² restricted...

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Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: 5. Determine all the second order partial derivatives of the given functions. In each case, show tha...

A: Here we use  i) derivative formula for u/v which stats that d(u/v)=(v.du-u.dv)/v2  

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Q: H.W. 2 Let 1=-2 + 1li, z2 = 2- i. Showing the details of your work, find, in the formx + iy: %3D 1. ...

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please ...

Q: Evaluate the integral. T/2 9 sin2(x) cos2(x) dx

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Q: If F(x) = f(g(x)), where f(-4) = 5, f '(-4) = 3, f '(4) = 1, g(4) = -4, and g'(4) = 8, find F '(4). ...

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Q: 1 dx - 16 4 xvx2 ||

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Q: Verify that each of the given functions is a solution of the given differential equation: x2y’’ – xy...

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Q: 3. Use partial fraction decomposition to find each integral. Show all your steps. x3-3x²+1 a) S *²-3...

A: First we divide the numerator by the denominator because the degree of the numerator is greater than...

Q: L(cos(at)sinh(at))

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Q: . Determine all the second order partial derivatives of the given functions. In each case, show that...

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Q: 2. The figure below shows the graph of a function over a closed interval -2,3. At what domain points...

A: Here, from the given graph we can say that function has a jump discontinuity at x=0 and removable di...

Q: Compute the discriminant D(x, y) of the function. f(x, y) = x' + yt – 6x – 2y² + 1 (Express numbers ...

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Q: sech*2tdt

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Q: A parallelogram is determined by the vectors = (-2, 5) and 7= (3, 2). Determine the angle between th...

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Q: Find each limit. Use - 00 or oo when appropriate. 4x -8 f(x) = - (x-8)4 (A) lim f(x) (B) lim f(x) (C...

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Q: Let both f(x) and g(x) be odd functions. If possible, determine whether each function must be even o...

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Q: Ax. 19-22 Compute Ay and dy for the given values of x and dx Then sketch a diagram like Figure 5 sho...

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Q: x²+2 2. ミト

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Q: cot () 11. 12. sec

A: Find the value of  11) cot(5π/3)  12)sec(11π/6) 

Q: Find the local extrema and saddle points of f(x, y) = x² – 4xy + y° + 4y.

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Q: Determine if the improper integral converges and, if so, evaluate it. dx | 8+x Write F if the integr...

A: We will evaluate the integral.

Q: A retailer anticipates selling 4,000 units of its product at a uniform rate over the next year. Each...

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Q: If k is any real number, prove or disprove that sinkx 1. lim x-0 kx 1. 1-coskx 2. lim = 0. x+0 kx

A: Given query is to find prove the following limits.

Q: Normalize the vector v = (1, 0, -1, 2, 6)

A: Given query is to normalise the vector.

Q: The Action Toy Company has decided to manufacture a new train set, the production of which is broken...

A: We hve to draw correct precedence diagram.