dy 9. If x? + y² = 16x, then dx 8+ x y 8 y 8 + x C y 8 - x D y

Q: Hw X+22=9 zy +7=8 4X -3y =-2 Aus , X=1 ,u=2 ,Z=Y

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Q: (2у? + 4л?) da — rуdy — 0 - %3D

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Q: dy = ? If Y = x' then dz - +c 222 2x 2 dy If y = 6x3 + 2.5x² + 7x + 2 then dm a* +3 +x² + 2x + c…

A: To differentiate the given expressions.

Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²"

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Q: If y(v) = V4+ a*dz then y'(v) =|

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Q: dy If y 22 x, then dx 9.7 1. O 22 0. O 5. N O O O OO

A: The given equation is y=22+x.

Q: If x = 2t² + 3 and y = t* d-y – v2 then is 2 dx 1 a) 4 b) c) 2t d) None of These -

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Q: dy If dæ 4x³ + 3x? + 6x and y = -3 when x 1, fınd y. |3D

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Q: d?y Determine if: 2x2 – xy + 5y2 = 7 dx2

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Q: а. dy dr y+3* dy 1 b. dr (e9 + 1) (1+x²)* y (r³ + x) y – 4 dy C. dr

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Q: If x = r +t, y =t° - 5² +9, then at t=2 is dx D a. 8. O b. -8 5 D C. - 5 8 d.

A: Find differentiation of x and y with respect to t and then divide to get the final result.

Q: ay is 8. If y = arccot then dz a. 4 b. 64 C. -4 d. -64 16 +x 16 + x? 16 +x .2 16 + x?

A: topic - derivative of a function

Q: d (3y? + 4y +2 Find dy y

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Q: Q1/ If z = f(x, y) and z* - y? = 6x²y°z7 Find: and dz

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Q: dy If dx and y(2) = 5, then y А. х2 — у? %3D —-21 В. х2 + у? %3D 21 С. у2 — х? %3D11.5 D. x2 — у?…

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Q: dy - = 2/y- 5in|Vy+ 5| + c Vỹ+5 A) True B) False

A: As per our guidelines we are supposed to answer only one question i.e. the first problem. For the…

Q: If t²y" – ty – y = 0 ,y(1) = 3 and y'(1) = -1, then y(4) = . . . %3D

A: Given differential equation, t2y''-12ty'-y=0,y1=3,y'1=-1 Find the value of y4.

Q: 1. If y? = 10x , then dx2 d²y 5x А. 2ху 2y 5ху С. D. 2x 2 B.

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Q: EX. (D* – 5D³ + 6D² + 4D – 8)y = 0

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Q: = -21e 2 C D +4 D +9D t1o)y 4. /f x-O -4 l 10

A: To sove the initial value problem for y=y(x)

Q: dy Find d.x given y = (Vx+x)(104x¬1+2x¬5 + 46). Do NOT 1. simplify.

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Q: SWZ-VX WZ +Vx)³ dx = Select one: а. 금 (x-2)6 + c b. -2 글(x-2)6+ c C. -5 (x-2)6 + c d.

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Q: dy + y = 2xy²e* da x2 + C C O y = x² + ez y = (-x² + C)¯³e¬ = 22 + C yez ||

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Q: Find dz² dy in terms of æ and y given – a? + 2 æy = 9. d²y a) -x - y dz? d²y b) dæ? d²y da? -x + 2 y…

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Q: x+2y=32 2z+x=26 how much is z+y+x=?

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Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²'

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Q: y dy Find using the substitution +5= √√y+2. √x+2 A²/(√y+2-5)(-5√/y+2+y+21) +C 3 ® ²/(√y+2-5)…

A: ∫ydyy+2 Substitute, u+5=y+2 Then , du=12y+2dy ⇒2y+2 du =dy ⇒2u+5 du =dy and y=u+52-2=u2+10u+23

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

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Q: d²y 15. If y3 — ху %3D 5, then dx² 2ху - 2ху А. (Зу2-х)3 В. (Зу2-х)3 5 2ху С. (3y²-x)² D. (Зу2-2х)3…

A: Given, y3-xy =5  We have to find d2ydx2

Q: dy If 4x3 – x²y + xy³ = 8, then dx

A: Here I am attaching image so that you understand each and every step.

Q: Ve da 6. Given x=- 1 a = 3x +2x-1 and and y=- find 2 de c-4

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Q: eY+Ve2y-4 5. x = In sove for y“ 2.

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Q: (b) dr dy - у — 1 x + y+3

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Q: dy iven x² + 2y² = 9. Then, dx2 A 64x2 B) 4y3 O 32 xy 16 D 9y

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Q: (c) de xy³, y(0) = 1

A: Solving by separable method we can get

Q: 4. Find if x + y? = 2xy. dx (2) (6) y +x (b) y - x (c) 1 (d) y

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Q: 2) Evaluate | xy? dxdy D. where D: x+y² <2, x N 0.

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Q: dy 2 = -5 : glo) = 1 y(o)

A: In this question we are given variable separable first order differential equation with initial…

Q: If x?y + 3y4 = xtan(y) + 2x d²y Find the value of dx²*

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Q: dy = 2/y- 5In|Vy+5| + C Vy+5 (A) True B) False

A: we will use basic integral rules and the method of integration by substitution.

Q: (b.) ry' + y = 1 In(r), with y(1) = 0

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Q: dy when t =7. Evaluate xp y = 2z? - 3z +5 x = 4t' +t t= z? +z+1

A: Given that,

Q: dy Q 3-Find t=3 if y+ 4x2 = 7, x+ %3D

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Q: dy If x2 + 2xy= y², then is x+y (A y- x B 2x+2y X +1 C y X-y D) 2(x + 1)

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Q: dy Given y = 2u? and u = 8x – 1, then dx - 8(64x? – 2x + 1) 0 خيار 4 48(8x – 1)2 0 خيار 3

A: The derivative of xn is calculated using the formula, ddx(xn)=nxn-1 .

Q: (VxE N)(3YEN: x +y=D0). True False

A: Given statement: For every x in the set of Natural number ℕ, there exists y∈ ℕ such that x+y=0. We…

Q: dxdy (wher W 0, y 2 0) is

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Q: dy If x + xy - 3y = 3, then at the point (2, 1), A 4. 23 2.

A: Given: x2 + xy - 3y = 3 To find: y' or (dy/dx) at (2,1)

Q: If x?y + 3y4 = xtan(y) + 2x d²y Find the value of dx2'

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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.