• If f(x) = then, 1. D; = R 2. D; = [1,00) Rf = [0, 00) 3. D; = R R, = {1,–1} 4. D; = [1,00) R = {1,0} Rf = {1,0} %3D %3D %3D

Q: 2. If y = xlnx,

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Q: 5. Which of the statements is Not a function.

A: A relation is the ordered pair of input and output values. A graph or a mapping diagram can be used…

Q: of the function f(r) = (" – x)*. Find ao a. 12 Ob. O C. 6.

A: Let us consider the limit to be (0,2π) For the limit (-π,π)  the function is odd function so it will…

Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw() = -9 -4 -8 8 20 NHAW…

A:

Q: 4. Calculate fx J₂ dx

A:

Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

A:

Q: 2.54. If A and B are mutually exclusive, P (A) = 0.37, and P(B) = 0.44, find (a) P(A'); (b) P (B');…

A: Given that A and B are mutually exclusive events then P(A or B)=P(A)+P(B) P(A)=0.37 and P(B)=0.44…

Q: 2. S (3x- 12) x'dx (3х I dx 2.

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Q: Solve the following B.V.P. utt %3D с 2ихx; { и(х, 0) 3D сos x - и (0) %3 0, и (2л) - 00<x<20 1, ut…

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Q: W = 35T + 700

A: topic - graph of a equation

Q: Find * 1 y" if y =-(x -3x)

A:

Q: 2. Match the functions with its graph. y = Vx – 3 b. y = 3 vã c. y = v – 3 d. y = v-x+ 3

A: Part a,Given,         The function is y=x-3.

Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: Draw the function y = x^2 + 2x %3D

A: Since, it is a second degree polynomial in x, it is called a Quadratic polynomial which has two…

Q: 4. Evaluate Si (+) dydz

A: the given integral is ∫14∫12xy+yxdydx therefore,…

Q: 3. Find the value of x to three decimal places when: a. 2x = 7 b. 2x+3 = 6x-1 c. 22w + 2(2)w - 15 =…

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Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0&lt;x&lt;2 , 3&lt;y&lt;5

Q: 5. Assume that V × F = V × G. What is the most general relationship between F and G ?

A: ∇ x F = ∇x G =&gt; ∇ x (F - G) = 0

Q: An rz value of 0.70 means there are other additional independent variables involved Select one a.…

A: Introduction: R-square: The coefficient of determination (R-Square) is defined as the proportion of…

Q: Find y’'. 9. if y = (x² + x + 1)²

A: As per guidelines we have to solve the 1st one. Again upload for another solution

Q: Find a function flx) such that f(x) -llex and %3D 3. f(0)-- 주

A:

Q: Find the range of the function y =1+ x2

A: Introduction :

Q: 7. Which function(s) have/has a zero at x = 2? y = 2* +2 b. y = x² +2 c. y = |x +2| d. y = Vx - 2 a.

A:

Q: Express by ¡y; in the terms of x variables where y; = C¡¡x; and bicik = 8k.

A: Given equations as yi=cijxj and bijcik=δki

Q: Determine whether the following function y = C₁ x + C₂ x³ + 2x² ex- 2x ex a solution to the…

A:

Q: The slope of the secant line of the function y =Vx +x through the points x, = 1 and the point xz = 4…

A: y=x+x

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.