Suppose for this problem that Pr[A|B]=1/1, Pr[A]=5/16 and Pr[B′]=15/16 (1) What is Pr[B|A]?  (2) What is Pr[B|A′]?

Q: Q2: - If y = 3sec3t and x = etan3t prove that: - dy (In3)2 + dx y * logy x *

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Q: - Consider the function f(x) = cos x − 3x + 1. Since f (0)f() <0. f(x) has a root in [0]. If we use…

A: I already solved this and again i am posting the same hope this is useful.

Q: 1. Find f' (0) given that f(x) = sinh-1 e*.

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Q: Given f(x) = 8x3 + In(x – 1). Estimate the value of f(2.01) using differential. %3D

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Q: 3. (a) Compute ,12x – 1| dx in two ways. i. By using properties of the definite integral and the…

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Q: 6. Solve for t, 0 ≤ t ≤ 180° such that tan(t) = √3.

A: Interval Quadrant (In unit circle) tangent  0≤t≤90° I Positive 90°≤t≤180° II Negative…

Q: Find the third derivative of f(x) = ³/15z + 1. f"" (2) - ab a b √a |a| π sin (a) 2.

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Q: 1. Find the derivative of the following: 1² + 2r + 1 a) f(1) = r3 - 5x + 3 b) G(2) - VP+1 dt e) y…

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Q: Consider the function f(x) = cos x − 3x + 1. Since f(0)f () <0, f(x) has a root in [0]. If we use…

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Q: Evaluate the integral. dx 1

A: givenI=∫13x2dxwe know integral formula∫xndx=xn+1n+1+C

Q: Drove that 3 e dx converges to 9 3e

A: Explanation and solutions is given below.....

Q: 1/2 2. Approximate the integral: 1 - cos(2x) dx within an error of 0.01. x2

A: According to question given that∫0121-cos2xx2dx within an error of 0.01

Q: Suppose that Mdx + Ndy 0 is an exact equation, and M and N are both homogenous functions of degree n…

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Q: integral from 1 to 2 of (e1/x^3 ) / x4

A: To evaluate

Q: Q4 B) Find y' for the functions cos(xy) + 3*+cos ly+ In(xy) + log-7 dy

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Q: Find the differential of the function. z = 3t - = zp

A: Differentiate the function: - Differentiation is that the quantitative relation of a small amendment…

Q: b) Suppose x # 2. Find dif dx In y = In (x - 2)² √x² +1

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. ƒ(x) has a root in [0,1]. If we…

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Q: Calculate the first six iterates in the following iteration with xo = 1. Xn+1 0.3+ sin(x) -

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Q: Show that the value of Vx + 8 dx lies between 2V2 - 2.8 and 3.

A: According to the question, we have to prove that the value of integral ∫01x+8 dx lies between 2.8…

Q: 2. Use differentials to find approximate values for the following radicals. (b) V34

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Q: Q2: - If y = 3sec3t and x = etan3t prove that: - dy (In3)² dx y logy x * * -

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Q: Suppose that Mdx + Ndy 0 is an exact equation, and M and N are both homogenous functions of degree n…

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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

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in [o,]. If we use…

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Q: Q2: - If y = 3sec3t and x = etan3t prove that: - dy (In3)² dx y * logy x |

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Q: by s- differentiation find L(te-3t) = 1 .aO (s- 3) 1 .b O (s-3)2 (s+3) .dO (s+3) 2 1.

A: The solution is given as

Q: y" +Zy+3y=sin (3x)

A: Given that,  y''+2y'+3y=sin(3x) The auxiliary equation is m2+2m+3=0m=-2±4-122=-2±2i22=-1±i2…

Q: Calculate for one real root of tấn x = 4x with X0 = 1.2 up to four decimal places using the…

A: This is a problem from Numerical Analysis.

Q: The velocity of a particle moving back and forth on a number line is ds = 3 sin(3t) dt for all…

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Q: Solve the following. Additionally, comment on the behavior of the solu- tion(s) as t → o. (a) 3 2 4…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: 4- 13 + 6y = 0 dx

A: We have to be find

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ(x) has a root in [o,]. If we…

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Q: Find the derivative of the function. r(x) = In| 4x + e* | Oa. 4+4e4* 4x +e*x O b. none of these…

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Q: Find the differential of the function f(x) = (x+4)^(1/2) dy =

A: Find the differential of the functionf(x) = (x+4)^(1/2)

Q: tanh (22) d) evalvare J seen 2 (2n ) e レッ using a substitution Suitable

A: To evaluate the given integral.

Q: 2. Given that x + 2x- 2= 0 has a root between 0 and 1. Find the root using the secant method. E = 0,…

A: The given equation x3+2x-2=0 has a root between 0 and 1

Q: 2x – 2, write Newton's f(xn) For the function f(x) = formula as Xn+1 = = F(xn) = xn for solving…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the different…

A: The annihilator of xn-1 is Dn The annihilator of xn-1sin βx is D2+β2n Now the given function is…

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

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. f(x) has a root i [0]. If we use…

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Q: se N.P.M. to estimate the root of -X = e -X for an initial of Xo =0

A: Here f(x)=e-x-x,  x0=0. We estimate the root of f(x)=0 by using N.R.M.

Q: . Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. f (x) has a root in [0]. If we…

A: Newton-Raphson iteration scheme is given by  xn+1=xn-f(xn)f'(xn) We use this formula to estimate…

Q: how can i derive this equation in 3 D? *be aqy ay az at Əx

A: Taking heat in three dimensions (I) Net amount of heat conducted into dxdydz per unit time.…

Q: I'm having trouble figuring out why the integral of e-3x dx is equal to (-1/3)e-3x. I do not know…

A: Given:    f(x) = e-3x

Q: Find a root for f(x) = xcos(x) + e* + 2x using the Newton-Raphson second method.

A: The Newton's iteration formula to find the root of function y = f(x) is:  xn+1=xn-f(xn)f'(xn).…

Q: 3 Evaluate the definite integral dx. (x- 5)4 -2

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Q: Find the general solution using Reduction of Order: x2y''-xy'+y=0 y1=ln x

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Q: Evaluate L{e (cosht – sinh nt)} 3r S+3 A. (s+3)*-n² (s+3)-a² S-3 B. (s -3)- (s-3) 2. s+3 C. (s+3) +*…

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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.