(1 point) Let p(z) = 5x -8 and q(x) = VI-8. Find u(r) given that q(x) = p(u(x)). %3D %3D

Q: 2s + 1 7. F(s) = %3D s2 - 2s + 2 1- 2s 9. F(s) %3D s2 + 4s +5

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Q: Whch of the futowing tunction is a iner tunctiont Sx)- V3x -4 S(x) = x +5 O oton O outen f(x) = 2x…

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Q: X - X (r-F (x-X\r-F) X (x –x) |Y Y-Y 2 1 4 3 4 Compute: X = %3D %3D E(X- X(Y -Y) _ %3D N- 1 B = 2.…

A: x x-x (x-x)2 y y-y (y-y)2 (x-x)(y-y) 0 -2 4 2 -2 4 4 1 -1 1 2 -2 4 2 2 0 0 4 0 0 0 3 1 1 6 2…

Q: fx=å (3in (x*ry)-x2) %3D fy = Ly(31n (x*+y)-x2) %3D d fe-(3in (x*ry)-x2)

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Q: dy -is If y = In(x-5), then dx 4x x-5 4. 3x 4 x-5 4x 3. 4x +5

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Q: elimination of first degree variable: 3x+y-z=11 x+3y-z=13 x+y-3z=11

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Q: etermine the orthogonal trajectories for x? = ky³.

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Q: [5 < x < 8} 15<y<8S° f(x, y) = x² – 12x + y² – 8y on -

A: Given on . For global maxima and minima find the value of in given square region.

Q: 6 - 3x2 + 3 Find the general antiderivative of f(x) - - - x5 + C

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Q: 3(x + 2)\/1 (x+2)² Which of the following is *+2) + arcsin 9 +C equal to? arcsin (z + 2) + (x + 2)v5…

A: Given that,     92arcsinx+22+3x+21-x+2292+C

Q: f(x) = e-X, [0, 2]

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Q: The Power Chain Rule simplifies computing the derivative of a powerof an expression

A: To find the derivative of a power of an expression using the chain rule. ddxe3x+1 Solution: Chain…

Q: 4) f(x, y,z) = /1– x² – y² – z²

A: Domain is the subset of R3 where the function is defined

Q: e critical point of the function f(, y) - 6 +7x + æ² + 4y – 2y?

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Q: Maximize f(x, y) = 3xy Зху subject to x + y = 1

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Q: a) Find the maximum percentage error in z if the percentage error in x is 1% and y is 2% given that…

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Q: Ving model: Y; = Bo + B1Z¢ + B2X¢ + B3Xt-1 + B4Xt-2 + Et %3D as of freedom will vou have for this…

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Q: how would I take the partial derrivitive of this equation, I cannot use the chain Rule as we have…

A: Given function,

Q: x" + 2x' + 8x = 2e-2t - e-t,x(0) = 1, x'(0) = 0

A: Given differential equation, x''+2x'+8x=2e-2t-e-t,x(0)=1,x'(0)=0 The objective is to solve the…

Q: y = x(arctan x)² arctan (x+ (1+x²)arctan x) А. 1+x2 arctan (2x+ (1–x²)arctan x) В. 1-x2 arctan (2x+…

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Q: y" - y' - 2y= e* %3D

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Q: 2Fs1 ² f (x, y) dx² proof. (H-w-) 2 ./ = P√= f (gy) - P²Fs (Psy) ар(х,у) 0 as x If f (x,y) → 2

A: Introduction: A Fourier transform (FT) is a mathematical transformation that decomposes capabilities…

Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: Given: ∫x3dx4-x2

Q: 1. y = - V2x +1 2. y = (x – 1)3 + 2 3. y =-1 2x

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Г. 5 1, г)ах — 9, g(x)dx 8 Compute: -[о g(x)dx b.) == 5 3f(х)dx %— с.) .5 f(x)dx d.) 2 "/Г 5…

A: Given,

Q: V1-x2 3. Evaluate S S /1-x²-y² dxdydz V1-x2-y2-z2

A: We will solve the following.

Q: 3x3+y² x²+y² .2 (x, y) ± (0; 0), ,2 ) f (x, y) = 1, (x, y) = (0; 0).

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Q: | f(x) dx = -2, f(x) dx = -7, g(x) dx = 9, g(x) dx = -5, %3D

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Q: dx 4. S хV25-х2 5+Vx2-25 + C а. 5+Vx2-25 b. In + C c. --In 5+v25-x2 + C с. 5 d. None of the above

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Q: DETER Derer mine the fieSt os: mine the キ)12ST oこ: derivative F6) = aresee(3x) %3D

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Q: Q-3- Eilaluate #the fallowing Integration x²-1 x² 1- x3 2 2.

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Q: 3(1 + P) = 2ty(y³ – 1) dt %3D

A: Let us consider the differential equation dydt+P(x)y=Q(x)yn It is known as Bernoulli's equation…

Q: y³dy 2. S. (a²-y²)7

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Q: 14 (3 3 1f y=/xL5x²–36 x15x²-36 X23x²+¥x-12 show that dy dx4 24

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Q: 6) Find most general antiderivative of the fxn. a) f(6) = x5+2x²-1 X' B) 4(1) - 2 +30*

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Q: Q3. Integrate (x-1)(r+1)

A: To find the integration

Q: maximize f(x,y)=xy subject to the contraint 6x+y=18  the last question is what is the maximum valye…

A: max . fx,y=xyS.t 6x+y = 18     6x+y=18⇒ 6x+y-18=0∴ gx,y=6x+y-18=0    Fx,y,L=fx,y-L g x,y⇒…

Q: 2 c2x-4 ( dydx 2у - 1) Q2. Evaluate the double integral x + 1

A: In this question we have to find the double integration.

Q: 1. If rxty = +1 and rx2y = -1, can you tell what happens to ry when we combine x1 and x2 into a new…

A: The correlation coefficient is used to calculate the linear relationship between 2 variables.…

Q: Evaluate the definite integral

A: Given,

Q: B. CHain Rule *) f(x)= X+2

A: To find the derivative of the function

Q: Q-1 Find the orthogonal trajectories of y = ea" where a be the arbitrary constant. [

A: Given curve is y=eax

Q: X1 + 2x2 – x3 = 3 5x1 – 2x2 = 2 -3x2+7x3% = 2 %3D e for the y's

A: Given,          0x1-3x2+7x3=2          x1+2x2-x3=3          5x1-2x2+0x3=2D=0-3712-15-200-3125-2=-69

Q: (c) Suppose that two of the pipes become blocked so that x3 = 0 and x1 = 0. Determine the flow rates…

A: Topic - flow diagram

Q: f(x) = Ae (x-b)2 2a2 - f(x) z e° ze-x²

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Q: 6. Differentiate y with respect to x using A-method. x-3 a. y = X b. у %3D V4x + 3

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Q: d) So" 4 xp: V1-x+

A: Integration problem....

Q: find orthogonal trajectories of   x2+(y-c)2=c2.

A: x2+(y-c)2=c2 now differentiating both side with respect x , we get 2x+2(y-c)dydx=0 or, dydx= -x(y-c)…

Q: 6x + 6 13 dx Evaluate - x4 -3 О З2? + 2 - 13x + C, Where C is the parameter O 3x2 – 2 3 – 13x + C,…

A: We have to find

Q: ind the orthogonal trajectories of x^3=3(y-c)

A: Given equation of curve  is   x3 = 3(y-c)  we have to find  the orthogonal  trajectories

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.