Two functions fand g are defined by f(x) = 2x + 3and g(x) = x – 2. The composite function gof= А 2x + 1 в 2х — 1 с 2x +6 D 3x +1

Q: 6. The sum of the first n terms of a sequence is given by S, = 3n? + n. An expression for the n™…

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Q: /1 -1 2 Given that A = ( 0 2 -1 2 3 -1 -2 -2 1 -4 -5 2 3- 3 and B = are two matrices, find the…

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Q: 31. The vector perpendici:!at to both 3i –-6j – 4k and -3i + 2j + 2k is A A -4i + 6j + 12k B - 4i +…

A: Cross product

Q: 5. The period of the function f(x) = 3 cos 5x is 13 2 3

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Q: Given the statement p and q such that p: John is tall; q: John is fat. The statement - pA ~q is…

A: Give the statements  P : John is tall q : John is fat  To find :-  The equivalent statement to ~p^~q

Q: 7. If the quadratic equation x² + (k – 2)x – 2k = 0 has real and equal roots then A (k– 2)² = 0 B (k…

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Q: A relation R is defined on the set of real numbers by xRy if and only if x-y is a multiple of 3.…

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Q: Solve the differential equation (x² – 1)+ 2y = 0, given that y = 3 when x = 2. Express the answer in…

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Q: The curve y = cannot lie x- 1 between y = 0 and y = 4. There is a local maximum of the curve at the…

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Q: 25. Given that X and Y are two variables related by the equationY = aX² + bX,where a and b are…

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Q: The probability that Ekane gets out of bed is. If he gets out of bed late; the probability that he…

A: Given information: P(Ekane gets out of bed)=2/5. P(late to school| gets out of bed late)=4/5 P(he is…

Q: how by integration that the centroid of a uniform semi-circular lamina of radius a from ne centre is…

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Q: Given the complex number o=• V3-i, (a) find the modulus and argument of o (b) in the form a+bi .…

A: Here we find the modulus and argument.

Q: When (3- 2x) is expanded in ascending powers of x, the range of values of x for which the expansion…

A: Binomial expansion

Q: The complex number (cos+ i sin can be expressed in the form a + bi, where a, be R, as 31. COS 27 27…

A: solution:-

Q: The number of permutations of the letters of the word CLASSICAL is 5! A 2!2!2!2! 9! 212:2:2! C 9!…

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Q: The speeds of a car during 8 s of braking are given in the table below. 47. Time, t s Speed, vm s-1…

A: Please rate

Q: 22. Given that v3 cos x + sin x = R cos(x – 0), where R > 0 and 0 < 8 < , the values of R and tan 0…

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Q: 8. The general solution of the differential equation 3 = +x dx A 1(x2 y = 3 2 +c 1(x? y =32 В +c 1/1…

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Q: The vector v, where |v|= 28, is in the direction of the vector 2i + 3j – 6k. v = 25. A 14i + 21j –…

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Q: The coordinates of the points A and B are (-2, 3) and (4,1), respectively. An equation of the circle…

A: Please consider the handwritten solution.

Q: A relation R is defined on the set, Z, of integers by xRy if and only if x+ y 2 5. R is A reflexive…

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Q: 45. The power exerted by a force F = (3fi+ 2ij) N on a particle with velocity v = (31 i – 21² j) ms'…

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Q: 8. Given that P(x + 2) + Q(x + 1) = x , the values of P and Q respectively are A 1 and -2 B -1 and 2…

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Q: The range of f is

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Q: Given the parametric equations x = 20 + sin 20, y =1- cos 20, dy whereð is the parameter, dx

A: here option D is true

Q: 5. If 2log, x + log, y = 3 then A xy? = 8 В ху3 4 C x²y = 3 D x?y = 8

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Q: 5. Given that 4²-x = 4(21-*), the value 'of x is 1 B 2 C -1 D 1

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Q: - 8. lím (1+ 3n A ez e2 D1 ea mIN NIMN

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Q: Given that the sum of the first n terms of a sequence is S, where S, = n(n + 2), the fourth term of…

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Q: Given that f(x) = Šketch the graph of y = f(x), showing elearly all its intercepts and the behavior…

A: See the attachment

Q: The work done by a force (3i + 4j + 5k) N acting on a particle which moves from a point with…

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Q: 16. A 3x 3 matrix M is given as (x 1 x-1 M= 2. 1 0 If the determinant of M 1 x is zero, then 2x? –…

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Q: 15. e- A cos - i sin B - cos- i sin C cos + i sin 1) I cos(-n) – i sin(-n)}

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.