dy Show that given differential equation da y cos z + sin y + y sin a + r cos y +x 0 is Exact and hence write its general solution

Q: Question 2. The function () is defined as follows f(t)-3-6t+t²,0<t≤4. Define f(t), an even periodic…

A: The given problem is to find the even periodic extension for the given periodic function and find…

Q: Find an antiderivative F(x) of the function f(x) = - 2x²5x + 2 such that F(0) = - 15. F(x) = Now,…

A: On solving this we will get

Q: 11) A ray OC stands on a line AOB. Determine the value of x, if and Z AOC = 5 x + 5° and BOC = 4…

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Q: A function f is shown in the graph at right. The domain of the function is all real numbers except x…

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Q: A hypothesis will be used to test that a population mean equals 7 against the alternative that the…

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Q: 4. pis) Find the volume of the solid bounded by the planes z = 0, z = 4, and y = 9 and the…

A: We have to find the volume by using tripple integral.

Q: The slope of the line passing through points A (2k, 3k-1) and B (k-1, k+1) is 1. Find the value of…

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Q: 3.Smi B 75° 6mi A ferry transports passengers to three different ports. From port A, the ferry…

A: Topic - Law of cosines

Q: When a bus service reduces fares, a particular trip from New York City to Albany, New York, is very…

A: Given that  Population mean = μ =40

Q: uestion 3. efine an odd periodic extension of =2+3t, 0<t≤4 d hence find its half-range sine series…

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Q: The region D is enclosed by z+y-2, y=z, and y-axis. Give D as a type I region, and a type II region,…

A: Given- The region D is enclosed by x + y = 2, y = x, and y-axis.  To find- Evaluate the double…

Q: The graph of the second derivative f"(x) of a function f is shown. State the x-coordinates of the…

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Q: utility with a TABLE feature. Use the table to determine at which point the graph of Y₂ crosses the…

A: Topic:- calculus

Q: Let u = 10i + 2j, v=i+j, and w = i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: Write the first expression in terms of the second if the terminal point determined by t is in the…

A: First function = sint second function = tant Formula used sin2t + cos2t = 1

Q: D Question 3 Let P = f(t) be the population of the United States, in millions, t years after January…

A: Given: Let P=f(t) be the population of the United States in million,  t years after January 1, 1800.…

Q: If f(x) = 4x²-3x+12 and g(x)=2x³+1, then the degree of the (fog)(x) is: a. 3 O b. 5 Oc. O d. 4 O e.…

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Q: plane region bounded above by the line y - 4. bounded below by the curvey-4-x.bounded on the left by…

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Q: 2. You have a fair five-sided dic. The sides of the die are numbered from 1 to 5. Each die roll is…

A: A number of events are said to be independent if the probability of occurrence of any one of them is…

Q: In this question, the domain of discourse is a set of students in a library. Define the following…

A: Given that:   B(x): Person x is reading a book   L(x): Person x is listening to music. Express the…

Q: Question 1 . between x2 + y? lies within the second and the third quadrant. Let D be the region…

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Q: in a particular city in the northern hemisphere, the number of sunlight hours oscillates between…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.