Statement 1: x+y z = (x +y) (x +z) Statement 2 : x Oy= (x +y) (x y) Statement 1: True Statement 2: False Statement 1 : False Statement 2: True Statement 1: False Statement 2 : False Statement 1: True Statement 2: True

Q: 1. The vector X = k is a solution of x - (: -)x-G) 8, X' 2 for k = Enter only the value of k.

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Q: azu Show that u(x, y) = xy +is a solution of 2x azu = 2x. Әхду

A: We will find required partial derivative of u and substitute in left side of given equation . If…

Q: The ordering and transportation cost C for components used in a manufacturing process is…

A: Answer

Q: ) A car is traveling north on a highway for 4 hours. After those 4 hours, the car has traveled 200…

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Q: lim (4x – 3y)= -11 Prove that (r.,v(-2,1)"

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Q: Cartesian equation of z-i=|z| is 1 -2 y° - 2y= - 1 y= y-2y= 1

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Complete

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Q: (6,5). (1.4) (-4,2), (6,2) -2 6. 8 -2 9(1-2) lim f(z) = I4-4- -4 00 4.

A: Given the above figure. To find limx→-4-f(x)

Q: 1 1 lim v→s(vー5 ビ-25 v² - 25, 2 lim w→ -1- 1-w W-3

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Q: Limits of quotients Find the limits in Exercises 23–42.

A: 23)  Given  Here factors of denominator is x2 -25 = (x-5) (x+5)  Cancel out the (x-5) factor  Now…

Q: Cartesian equation of z+1=3 is x² + (v + 1)² = 9 0 (x +1)2 - y² = 9 o (x-1)- +y² = 9 0 (x + 1)² + y²…

A: Any complex number z is of the form z=x+iy . where x and y are real number and i is squareroot of…

Q: 4. lim ¥3-ェーv3 エ 5. lim 2r2 – 3z+7 3ェ+ 3-3 エ→ 12 – 3r+2 6. lim エ→2 +ェー6 エ→2

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Q: Limit メ+5 メ→-5 |Jx-っ-4

A: To findlimx→-5x+5|x2-9|-4

Q: |x + 2| lim (x + 3) I--2 x + 2

A: The direction in which the variable x goes helps to find the limit of the given function. If there…

Q: Two vehicles are moving against each other from points A and B with a distance of 1000m on the same…

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Q: 1. 2. 3. 2х-2 2x +2x-4 lim x →1 2x2+7x+5 lim x→1 vx²+3 –2 lim x →-1 х-1 x+1 4. 5. 6. 16(V1+x -1) lim…

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Q: La curva 3 de la figura mostrada tiene la siguiente tabla de datos X1 X2 X3 27.7 28 29 30 F(x)4.1…

A: Formula: The Lagrange interpolation polynomial through the points x0, y0, x1, y1, x2, y2, x3, y3 is…

Q: Statement 1 :(-z)3Dxy+xz Statement 2: xyz + xyz + xyz = xz + xyz Statement 1: True Statement 2:…

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Q: Corners of Fundamental Rectangle 10.    x^2/4-  y^2/49=1  12. (y-4)^2/64 -  (x+1)^2/4=1

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Q: ズ→27 7. lim v3x2 – 2x + 8 ズ→2 8. lim vx (2x) ズ→20 x+5 9. lim -15 V 2

A: Given query is to find indicated limits.

Q: х3 + 2x2 + х 1. iim х->-1 2x2 —— х — 3 х3 + 2x? + 7х 2. lim X→-2 2х — 3 х3 + x2 + 4x 3. lim X→ー3 2x2

A: 1) limx→-1x3+2x2+x2x2-x-3Apply L-Hospital…

Q: y" + 2y' + y = 2e

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Q: 12. 13. 14. √2+6-√√6 Т lim I-0 LIMIT VALUE: lim 2-1 LIMIT VALUE: Т lim 3 2-8 V 11-2z LIMIT VALUE:…

A: limx→a f(x) =L if and only if limx→a+ f(x) =limx→a- f(x) .

Q: lim -3- tan-() = lim-otan-ly %3D True False

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Q: Cartesian equation of z+1=3 is o (r +1)2 – y² = 9 o (r- 1)² + y² = 9 o r² + (v + 1)² = 9 , (r + 1)²…

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Q: 5. Find the General and Particular solution of Зу ; у%3D 3, when x 3D 0 %3D 业

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Q: السؤال 1 lim iz?-z z-- z2-1 i o -i O 1 0 -1 O

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Q: Lim (以4 ut メーロエ

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Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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Q: =x+6 Line 1: y= 2 Line 2: y=x-1 =-x LI

A: In system A, L1:y=x+6L2:y=-x The graph of the lines are intersect at one point. Hence there is…

Q: The ordering and transportation cost C for components used in a manufacturing process is…

A: Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and…

Q: sec (2 – 3x) A. – 9sec (2 – 3x)tan (2 – 3x) - 9sec (2 – 3x) tan tan (2 – - C. 9 sec (2 – 3x) tan tan…

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Q: X CSC X y%3D 3 cSC X cSC X (3-csC X-3x cotx) А. (3-csc x)2 cSC x (3-cSC X-3x cot x В. (3+csc x)? 21…

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Q: 17 . A square piece of tin of side 24cm is to be made into box without top by cutting a square from…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve all the variables using Gaussian Elimination with backward substitution. Show complete…

A: The given system of equations in matrix form is as follows:…

Q: sec2 x 2. csc2 x = %3D sec2 x-1

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Q: general solution of X' = AX

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Q: 1 2 1 + lim Р-(-1,2,0) х- 2 у -5 z+4 II

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Q: tan x sec xdx = (sec x) * - (sec 2)* +c 10 음(tan x) 을(tan z), +c 10 None (tanx) + (tan x) +c 금 (sec…

A: Given:⇒∫sec4x*tan(x)3dxWe know that sec2x=tan2x+1⇒∫sec2x(tan73x+tan(x)3 dxSubstitute u=tan(x) →…

Q: lim (1,y,2) (0,2,-1) Vy – zeł

A: We find limit of given function

Q: iz° + 1) lim z→-i\ z² 2 +1,

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Q: Solu by Cramer's rule +42=-3 2n't 2y -2 = 2 %3D 21 31-2y 31-34+32-3

A: Given,           The system of equations are               x-y+4z=-3              2x+2-z=2…

Q: 3. Triangle FGH with vertices F(-7, 8), G(-1, 1), and H(-8, 4): 270° counterclockwise

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Q: 2sin2 x-3sinx+1=0

A: It is a quadratic equation of sin x. So we solve it by factorising.

Q: /4(x+ Ax)3+5- V4x3+5 TFind lim Ax-0 Ax 6x2 (A)V4x3 + 5 (B) V4x3+5 (C) 0 (D) 1 (E) undefined 2V4x3+5

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Q: Simpson Rule. 2- x, (1, 3), n=4 3- x.sin(x), (0, 2), n=6 4- 1/(1+ x³), (0, 1), n=2, 4 ---

A: Since you have post multiple questions, according to our guideline we can solve only first one, or…

Q: Cartesian equation of z+1=3 is x² + (v + 1)² = 9 0 (x+1)2 - y2 = 90 (x - 1)2 +y² = 9 0 (x + 1)² +y²…

A: If, , then .

Q: f(x) = (x2-p)/x+9                        if x2 continuous (-∞,∞)  p,q,r = real number. Find p,q,r

A: Given, f(x)=x2-px+9                   if x<-9px2+x+q             if -9≤x≤2sin(x-2)2(x-2)+qr+r  if…

Q: 3 1+ 3z lim 1+ 4z + 3z4 z→1

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.