-press the integrand as a sum of partial fractions and evaluate th dx 4) S= x2(x2 - 16)

Q: Express the integrand as a sum of partial fractions and evaluate the integral. x+6 - dx x2 + 2x O 3…

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Q: I+116 Jz- 10)(z+9) dz, by expressing the integrand as the sum of the partial fractions. Evaluate

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 2s +2 (s² + 1) (s –…

A: SOLUTION-

Q: 2 (i) The function f is defined by f(x) = x2-1 (a) express f(x) in partial fractions. Hence, (b)…

A: We have the function f(x)=2x2-1, We have to answer the following...

Q: (i) Evaluate, [2sin3xcos2: xdx. 1+3x (i) Еxpress /(х) into partial fractions. 2x² –x – 3 Hence,…

A: 7i∫0π22sin3xcos2xdx

Q: 3. Use partial fractions to evaluate 4x dx J x3 + x2 + x + 1

A: Topic = Integration  As per guidelines,  At a time only one question can be answered . please repost…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 64 dx x-16x |3 4 O A.…

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Q: Expand the following rational function using partial fractions. Do not integrate. 1 1? – 1

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Q: ) show that 2n" + 1 1+ 222 2n t hence %3D n (n² + 1) 2n4 +1 by first expressing evaluate integrand…

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Q: * Show that S i in || + In atx +C using partial fractions а-х

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the…

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Q: 6. Find the following integral (Note: need to find the partial fraction decomposition of the…

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Q: x* -1 с. x +x-6

A: Topic:- Algebra

Q: xpress the integrand as a sum of partial fractions and evaluate the integrals ∫x^2…

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Q: 2. Estimate the largest value of x that allows e* to be approximated to 0.01% accuracy by the…

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Q: x² -3x+6 dx x+9x 3

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Q: Consider the integral x²1 – 6x14 + 8x7 – 26 dx (x³ – 4x² + 3x)° (x+ – 81)² Enter a T or an F in each…

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Q: 8. Evaluate the improper integral using the partial fraction decomposition. x(x2 + 1)2

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Q: m: Consider ozyz. Find all the first order partial denvatio

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Q: Integrate the following using Partial Fractions. 1. S a dz r2-3x-4

A: Solving the problem by finding the integration.

Q: 4. Use partial fraction, step by step, to evaluate integral f 4x5-2 dxp. х4—1

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 8x - 12 dx x2 - 3x -…

A: correct option .

Q: (5х +4) Evaluate the integral by using partial fraction method f (x+3)³

A: we have to integrate the given function by partial fraction method. the sollution is following

Q: 12 By using partial fractions, show t 1 x² -1 2(x+1) 2(x–1)' Hence, evaluate dx

A: We have to solve the integral

Q: Use partial fraction decomposition technique to evaluate the integral: S; dx. x² (x+1)³

A: ∫x21+x3dx

Q: 2s² +3s – 4 - Consider F(s) = (s – 2)(s² +2s+2) | Invert by partial fractions

A: Given function is: Fs=2s2+3s-4s-2s2+2s+2 Use partial fractions to write given function in separate…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 8x - 12 dx 2 - 3x –…

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Q: Evaluate the following integral using partial fraction decomposition dt (1+5)(21 – 3)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: dy 5. S y(1-Vy)2

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Q: Evaluate 1 dz 2ni (2² – 1) where y is the closed path indicated in the figure. Hint. Either use…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. dx x2(x2 - 16) In + C…

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Q: Apply u- substitution and the partial fraction decomposition to evaluate the integral In(x² + x + 1)…

A: Given

Q: 212 expressed in partial fractions where 2 - 4 P.Q and R are real constants with r +2 is

A: In the given polynomial function degree of numerator and denominator are same (degree is 2). So…

Q: * 7. (a) Express f(x) where (2x + 3) f(x) = %3D (x + 1)²(x + 2)² in partial fractions. Hence or…

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want…

Q: Evaluate the integral (Partial Fraction Decompo! X + 4 J (x2 + 2)(x² + 1):

A: Evaluate indefinite integral.

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 28s + 28 ds (s² +1)…

A: The given integral is: I=∫28s+28s2+1s-13ds

Q: (b) Express the integrands as a sum of partial fractions and evaluate the integral de -x*-6x (a)…

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Q: Rewrite the integrand as the sum of partial fractions. x+3 2x -8x Evaluate the integrals. x+3 !! .3…

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Q: 39. - expressed in partial fractions, where P,Q, and R, are real constants, with * ±1, is P z +1 I -…

A: Solution:-

Q: 2. Show that the second partials can be computed in any order i.e. aef дхду дудх f x, y = x²y – 10…

A: Given: fx,y=x2y-10y2z3+43x=7tan4y To show that second partials can be computed in any order i.e.…

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+3 dx 2x - 8x 3…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 4x - 8 -dx x2 - 4x -…

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Q: 8 tdt Express the integrand as a sum of partial fraction and evaluate the integral / t2 – 2t – 3 O…

A: We will solve this intigral by partial fraction,

Q: I + 90 Evaluate dr, by expressing the integrand as the sum of the partial fractions. J (z – 11)(x+…

A: Answer

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 5x2 +x + 64 x3 + 16x…

A: Given,           ∫5x2 + x + 64x3 + 16x dx

Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the…

A: Given:           ∫3x+17x2+9x+20dx     Applying partial fraction, we get:         3x+17(x+4)(x+5) =…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 3x + 21 dx x2 + 7x +…

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Q: 1 Express the integrand as a sum of partial fractions and evaluate the integral dx. (x-1) (x²+1)

A: Break into partial sum then integrate

Q: In Exercises 21–32, express the integrand as a sum of partial fractions and evaluate the integrals.…

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Q: Step by step

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Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.