7 involving sets A and B. Suppose for this problem that Pr[A|B]=1/5, Pr[A]=1/16, and Pr[B′]=11/16. (1) What is Pr[B|A]? (2) What is Pr[B|A′]?

Q: 1 2 de 4-cose %3D II

A: Given,          ∫0π214-cosθdθ

Q: 2. Evaluate: (a) L{t – cos 4t + e-3t sinh at} (b) L{U(t – n) + cos 6t U(t – 1/3)} 2s + 14 (c) L…

A:

Q: (7) Find the lengths of the curve r =2/(1 - cos 0), a/2<0<n.

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Q: 13. What is 2sinx cos x dx? TRONG A. +C In 2 C. 2 cos.x B. +C 2sinx In 2 D. In 2 14. Which of the…

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Q: 3. Using both Simpson 1/3 and 3/8 rules compare the Error of the equation. -dy 1+cosy

A:

Q: A potato at room temperature of 20°C is placed in an oven his temperature is 200°C. An hour later…

A: Given information: A potato at room temperature of 20°C is placed in an oven his temperature is…

Q: 5- for y = (x² + 1)5 dx a)10(x² + 1)5 b) 10x(x² + 1)* c) (x² + 1)* 6- Sin 2x is equal to: a) sin x…

A: Answer of the above questions are

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A: Sol

Q: 2- Find the positive root of f(x) = xe" - cos(x) with an error tolerance g=0.005% by using %3D a)…

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Q: 28+1 b:If y =-1 prove that. 1- 2y dx

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

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A: To Determine: find the x-value of the point on the curve that is closed to the point (8,0) Given: we…

Q: 1. and X = 2. %3D Find at t =2

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Q: The tanh$ (2x) sech (2x) dx is equal to O A. None of the choices in the list. O B. tanh (2x) +C OC.…

A: Given integral is  ∫tanh52xsech2xdx

Q: "(2) – 16f(2)) sinh(4x) dr Find the value of in terms of f(0) if f(a) = f'(a) = 0. %3D f(0) O f(0)…

A: See the calculation below  Fourth option is correct

Q: A s = e B s = cos(2) C s = e1/2

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Q: [-7, 1] The average value of cos (2z)e1-sin(2z) on is

A: The average value of the function f(z) on the interval a, b is  1b-a∫abf(z) dz.

Q: S tan5 x dx O 1/4 sec^2 x(sec^2 x - 1) - In Icosx |+ C 1/4 (sec^4 x - sec^2 x -In Icosx |)+ C O 1/4…

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Q: Let C be the shortest path that connects n to ni and I = S. (sinhz + 1)dz. Then Ι-1-cosh π+ π(-1)…

A: For the first question . Option first is correct answer . Thankyou !

Q: 3. PROBLEMS )Let y = r. Find dy and Ay at a = 1 with de Ac = 1. Sketch the graph of y = r showing dy…

A:

Q: 3- the solution for the following O.D.E y' = In(x) + tan (x) %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: a) sin2021 (2mr)dr re gln z b) Ip- c) | In(csc r) cot rdr 1 d) 2r – a2 et - e- dr ez +e- e) 을 In 3…

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Q: 3.4.4 Evaluate ff sin(x + y) dx dy over the triangle whose vertices are (0, 0), (2, 1), (1, 2).

A:

Q: 3) reflection across x - 2 4) reflection across y - 2 AY TH R 6) reflection across x = -1 5)…

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Q: 3- If a y + sin y + arctan a = sin 1 then what is the value of at (0,1)? dz -2 b)- 1+ cos 1 -1 1 a)…

A:

Q: 5. Let X1,..., X„ ~ iid N(0, T). (a) Find the MSE for the usual unbiased estimator of T: ↑ = 4E X?.…

A:

Q: 7). Suppose a is a positive constant less than T. Prove that the equation 2x+cos x = a has a real…

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Q: 3. f(x) = -x² +1 Ex)(+x). x2 + x - 6 %3D Holes: Vert. Asy: Hor. Asy:

A: Now plotting the graph of given function we get :

Q: IV. Suppose z is a function of r and y, and tan Vy² + x² 2e&y¸ Solve for az az and dy

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Example 2.13. Obtain graphically an approximate value of the root of x = sin x + T/2.

A: Please find step by step solution below

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Q: 10. Does there exist a harmonic function in z| < 1 taking the value 1 everywhere on |2| = 1? Is your…

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Q: :- x2 + 10x + 24 dx. 1+ cos2 (x) f(t) = %3D At what value of t does the local max of f(t) occur? t =

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A: Concept: Mean value theorem: The mean value theorem states that if a function f is continuous over…

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Q: 1 = cos t and f(0) = 4 f(0) + f(0+ 2T) + f(0+ 47) ? If f(t) = cos t what is the exact value of %3D 3…

A: ft=cos t and fθ=-14

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A: The detailed explanation and answer is given below:

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Q: 1) Answer the following questions with your own words: a) What is the reason for using numerical…

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Q: 1. L(e** + e¬* + x²) S-4 s+1 s3 e3 2. L(sin 2x + e²x+3) : 2 + s2+4 s-2 Hint: e2x+3 = (e2x)(e³) %3D…

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Q: Chapter 12, Section 12.1, Question 003 Find the domain of r(t) and the value of r(to). r(t) = cos…

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Q: 24 Show that the solution of equation satisfying the condition O T-0, as t0 (1) T-0, for x-0 and x=a…

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A: We need to show that:L-1s2s2+a22=12asinat+at cos atWe will use convolution theorem to show the…

Q: Find a solution of Airy's equation in powers of x − 1.

A:

Q: -1 Find y' where y = 22 sin-(cos (9 æ)) – tan (6 æ) Answer: -198 sin(9 x) 1 || V1-cos2 (9 æ) 1+36 x2…

A: To find y'

Q: .4. (c) y = x*; y = sin(Tx/2); about x = -1

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.