4. State whether the statements are true or false. Explain. (a) There is an even number multiple of 7 (b) Vx, y eR, (x+ y)* = x² + y²

Q: What are the P(x) and Q(x) of y' =y-xy³e2Xrespectively?

A: Given the differential equation is: Since

Q: Consider two nonnegative numbers x and y such that x+y=3. What is the difference between the maximum…

A: The given  equations are x+y=3 and the maximum and minimum quantity is 4x2y2 to find the maximum and…

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

A:

Q: Describe the behavior of the expresion as x → 2+ and as x → 2¯. Enter oo for o and -oo for – o. 2x…

A:

Q: Calculate the real values of x and y such that (x+y)³ is bigger than 8

A: Given: - The expression (x+y)3 is bigger than 8. To calculate: - The real values of x and y.

Q: 11.6.2. f(x, y) = x4 + y+ – a² – 2xy – y². - -

A: As per bartleby guidelines we only give first question answers.

Q: P2: Calculate 2 ( aik Xi Xj Xx) where the Chijk are constants

A: We have to find  ∂aijkxixjxk∂xi that is partial derivative w.r.t xi. aijk is constant. To find the…

Q: which of the folowiny -xト! is -3x 2 へ pove seies fore =e.e e E (-)"(-3x) n ハン 0 37 B. e (3x)" nこO *ス…

A:

Q: 2) Suppose that a fashion company determines that the cost, in dollars, of producing x cellphone…

A: NOTE: Refresh your page if you can't see any equations. . take x=400

Q: 25) of y' = = %3D 25 is 19

A:

Q: Suppose that x and y are real numbers such that y is 6 greater than x. What is the smallest possible…

A:

Q: Find the Dervative of 23 x2 - 2x find r %3D

A: Given  Now first derivative is

Q: Maximize B=6xy^2​, where x and y are positive numbers such that x+y^2=4.

A:

Q: 22. Differentiate the following with respect to the variable x, giving your answer in a implified…

A:

Q: Verify that 2. 1 Hint: Consider x 0, x 0 separately

A: To verify

Q: 14x'y What is the simplified form of 2

A: To write the simplified form of the given expression

Q: 2. Compute the value of | V25–x² dr

A: Given data:   The given integral expression is I=∫0525-x2dx.     Assume x=5sint, and differentiate…

Q: Describe the long run behavíor of f(r) = r° – 3r° – 2rª + 5 %3D - -

A: The long-run behaviour of a function is the behaviour of the function at its endpoints of the…

Q: Prae that x4 -5x +3 is ineducible ouer Q

A: Given polynomial is f(x)= x^4 -5x^3 +3

Q: A² Show that w'= -9-7x - 15x² can be written as the Linear combination of U= 2 + x +4x²₁ V = 1 =…

A: Given that W'=-9-7x-15x2. Show that the given equation  can be written as the linear combination of…

Q: What happens to y=fx) when you replace y with -4y? O vertical stretch by a factor of 4 and a…

A: Vertical stretch: The graph of y=dfx is the vertical stretch of the graph of y=fx by a factor d,…

Q: ² = 4. Maximize Q = 4xy, where x and y are positive numbers such that x+y %3D y: (Type an exact…

A: topic - application of derivatives

Q: ethod of undetermined coefficients to so y" +4y = 2x +2.

A: Given: y''+4y=2x+2

Q: Find positive integers that satisfy x + y + z = 6 x + 5y + 8z = 35 x = i ! y = i

A:

Q: Does S = {x² + 1,x² – 1, 2x – 1} span P2?

A: we know dimension of P2 is 3 so any set which span P2 must have at least 3 elements. here given set…

Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: What is the sum of P(x) and Q(x) if P(x) = 4x2 + 6x - 9 and Q(x) = -7x- 12x +8? %3D 1. -3x2 - 18x -…

A: Given P(x) = 4x2 + 6x – 9 d(x) = -7x2 – 12x +8

Q: 3. Which statement about k (z)= 3z -7z+2 is true?

A:

Q: Compute A−2 two different ways and show that the results are equal.

A:

Q: 5x 60(x, +x,) 3 b) Y = In 60(x2 . 3,

A: The given differential equation:                                                 Y=ln5x1360(x2+x1)32…

Q: Evaluate C and P4. pune 4. 11 C3D 11 3 7 4 %3D | = *a+

A: Given, C311 P47 We have to evaluate them.

Q: What value of x woula prove (8x- 31) (5y+ 35) (6x +3) m

A: The value of x is:

Q: 51 3 -[---] -4 2 -2 Let u= (a) 5u-2v, 3 V= 5 W= -1 Find:

A:

Q: If z1 = -4 + j5, z2 = -3 - j2, and z3 = 2 - j3 , what is the simplified form of z – z + 2 ? %3D

A:

Q: 5. Show that: a. x* + 9x³ + 4x + 7 is O(x*) b. x? + 4x + 17 is O(x³)

A:

Q: Similarly, for F2, since the middle third of each side of F1 is removed and replaced with two line…

A:

Q: Show that |Aut(Z2 × Z2)| = 6

A:

Q: 5lim V3+x-J3 8→0

A:

Q: 7. у%3Dх! 8. In(x?y) = 3 „Inx ,In3x² 9. y = eln3x²

A: To evaluate dydx: 7) y = xln x8) ln(x2y) = 39) y = eln3x2

Q: 9(x, у) %3D In(x3 + y) a²g дх ду

A:

Q: 2. Evaluate f'(5) for y = v2x² – 1 hor Ju OIT

A:

Q: What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c…

A: If c is a zero of a polynomial P, then c is the point where the function crosses the x-axis.

Q: (2) Find the value of ß (,-)

A:

Q: Prove they are equal 4 = 7(2x+ 1) - 5x -3(3x + 1)

A:

Q: 2.2 Use algebraic manipulation to prove that (x +y) · (x + y) = x.

A: As 2 Questions are given, I will solve only the first, We need to Prove that: x+y(x+y¯)=x Solving…

Q: х + 4у + 72 — 109 4х — 5у + 42 — - 29 5x + у — 2 %3D10 z =

A: Since you have submitted multiple question here I will giving help for first question. if you want…

Q: If 2sin-1x = n, what is x?

A:

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.