Let xer" and ge I show that =yex is an imer product.

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A: We will find the value of x.

Q: a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

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Q: 1. Solve Laplace's equation inside the quarter-circle of radius 1. In the polar coordinates the…

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Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

Q: 4. Find general solution of the following system of homogenous differential equations dy da dt dt dy…

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Q: To + w -dw Find

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Q: find De Rf

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Q: Solve the differential equation below and write its solution explicitly if possible. dy dt + 2ty = =…

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Q: Could you please expand on how you found the linear combinations?

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Q: then f

A: If f(x) ≤ f(c) for all x ≤ c then f(c) is a global maxima and not relative maxima

Q: you have to show ur work

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Q: this is incorrecta

A: The given functions,f(x)=2x+4g(x)=x-1

Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: Discuss the behavior of

A: The behaviour of the given function can be determined with the help of the limit of the function…

Q: Let á (5, 5) and 6 = (- 3, 1). - Find ā · 6

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Q: e. Which

A: From given figure it is clear that

Q: This isnt correct

A: We need to draw the curve.

Q: 2x³-3x²-6x47 вхая

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Q: Let a = (-1,0, 5) and 6 = (3,-1,0). Find à x 6. < V

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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.