Evaluate If yds where S is given by z = x + y², 0≤x≤ 1,0 ≤ y ≤ 2.

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Differentiate. x3 7) y = X- 1

A: Given : y = x3x-1

Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find d. A-D e. A x B f. BxB g.…

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Q: Obtain the Selution of diffnential equation Sec Y x2-4x +5

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Q: 6. Given r + y° = 1, find y"

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Q: Let a = (-4, 5, -2) and 6=(-1,0, 4). Find à x b.

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Q: Max z = x1 + x2 s.t. 2x1 + x2 ≤ 20 x1 +3x2 ≤ 15 x2 ≤ 4 x1, x2 ≥ 0

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Q: 2. / Vy² – 4y + 10 dy

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Q: Verify the rule by differentiating. Let a > 0.

A: the given rule is: ∫duuu2-a2=1aarcsecua+C where C is constant of integration.

Q: 6) Find R100 for y = x³ on the interval [0,2]. Use four decimals.

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Q: fc xdx, over y = x 3 for0 < x < 3

A: Given expression can be written as: ∫Cxdx , over y=x3 for 0<x<3. We have to evaluate the given…

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

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Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0&lt;x&lt;2 , 3&lt;y&lt;5

Q: If x and y are both less then 0 and xy

A: Given, x and y are less than 0. Then xy = ?

Q: Let D be the closed region in R² bounded by x² – 2xy + y? + x + y = 0 and x +y +2 = 0, as pictured…

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Q: ..***a***** . Let x (m, 1,0,-2)", m > 0 and ||x||2 = V30, then Select one: a. 6 b. 7 с. 5 d. 4

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Q: :Max z=6x + 8y subject to x +y 0, y=0.

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Q: What is WX? X WX = Submit U W 5

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Q: Find the solution of the system of linear equation and the value of the determinant of its…

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Q: 7. Which function(s) have/has a zero at x = 2? y = 2* +2 b. y = x² +2 c. y = |x +2| d. y = Vx - 2 a.

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Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

A: To solve the Linear programming problem using the graphical method  Consider the constraints as…

Q: Let x = (m , 1 , 0 , -2)", m > 0 and ||x|l2 = v30, then m = Select one: а. 4 b. 5 с. 6 d. 7

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Q: State by True or False: x E R Vy ER x²<y+1 O True O False

A: To find  Whether the given statement is true or false.

Q: Find y" if y = x + (x + 2)3 when x = 1 Оa. 16 O b.9 Ос. 18 O d.28

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Q: Evaluate [yds, C: x=ť²₁ y | ds, C : x = t², y=t, −3 ≤t≤6

A: ∫Cy ds C: x=t2, y=t, -3≤t≤6  To evaluate the integral.

Q: (f) Construct a model to predict maximum temperature of the battery during discharge (in K) as…

A: It is wanted to be investigated by the researcher whether or not the energy capacity in watt-hours…

Q: Let x &gt; 0 and b &gt; 0. Show that

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Q: 21. If x2 + y? =1 and xy = 2 , find (x + y)'.

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