Q.2) Evaluate 3(1-2) -3-3r-y dzdydr

Q: Which of the following is NOT a legitimate way to write y" if x2 +3v² = 4? %3| У-ху 3y? 4 | 9y3 4…

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Q: Q1-let A = 6a B - ; ) [2 3 & B = Verify that (AB)" = B" A"

A: Explanation of the solution is given below....

Q: Show that r: y = 3. 2n

A: Using two sectant theorem,  ∠n=12x-y  Multiply both sides by 2. ⇒2n=x-y .....(1) Using intersecting…

Q: 16. 3x So ² (z+y²) dydz 2x pasky

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Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

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

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

Q: Show that 1 1 1 x2 y? z2 (y² – a²)(z² – a²)(z²? – y²) - - ,4

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Q: , 回,那 18x 3x? 2. 12x 10a'b 3. 27 -15ab igm 6. = x6-4

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Q: 54, find r such that the m 5a. A -[ 3 -3 -2

A: A matrix 'A' is equal to its own inverse when  A2=I where I is the identity matrix.

Q: O Xツ=) X-フ=C X-ツ=-) の 3x+7ソ-32=2 2x +.5y +7= -4 2x +6y tlo2 - }

A: According to our guidelines, we can only answer 3 subparts, the rest you can repost. The given…

Q: (B) (AB) (BC) (CA) NY, 22.13. Show that if (A) (B) (C) = 3x and = x, 2x, %3D N N then the value of…

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Q: Let, A = [ 1 2 x 3 −1 2 ] and B = [ x y 1 ]. If AB = [ 6 8 ], find x and y.

A: Let, A = [ 1 2 x3 −1 2 ] and B = [xy1]. If AB = [68], find x and y.

Q: , x); R = [0, -) D) D = (-, x); R = [-10, -)

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Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: on Ax) = %3D , as x →-o? x - 6x + 5 ' .2 - 6x+

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Q: Help

A: 16) Given: x=5y-3 and y=-2a3 To write x in terms of a, substitute the value of y in x

Q: Show that the substitution = e, y = et converts the equation ² (0²²)+1² (32²) +²(3)+1 (3) = 0 into…

A: The given equation is                        x2∂2u∂x2+y2∂2u∂y2+x∂u∂x+y∂u∂y=0

Q: If (R – {0}, .) = (Q,.) then 1=0 1=-1 -1=0

A: For the given statement

Q: 2) Find x if mZGHI= 173", MZGHQ= 29 + x, and M2QHI = x+ 162. %3D

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Q: Perform the indicated calculations. 2(2 + 1 + 2) in Z3

A: Given that, Perform the indicated calculations. 2(2 + 1 + 2) in Z3 It means, firstly we have to…

Q: 29 – 49 - dy C. 2+ 4y · Evaluate using substitution

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Q: If ( x+2 y)= -4 and am = 6, then 2amx+4amy %3D %3D O 2 О -24 О 48 О 24 O 4

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Q: What must be the value of x to prove AB CD? H. (3x + 14)°\ K C (бх — 4)°

A: We know that two lines are parallel if the alternate angles are equal. We use this fact to find the…

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

A: Given:

Q: 2. [ID # ending in 4 or 7] 2 av Determine (+) ax if v csch y = e*x² . дх ду ду

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Q: 1. • convert to Looarithmie form = SX 3. 3 %3D 34-1 4. = 2x = Sxtl

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Q: 1.5.109 3x° - 5x° + 2 Find y' if y= y' = %3D st

A: We have to find the derivative

Q: 13. -(р — q) -рл-а 14. (р — q) л(р — г) %3D р — (q л г) 15. (р — г) л (q - г) %3 (pvq) — r

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Q: ди ди ди AND az EXAMPLE: FIND əx' əy 5. 1= r2 + v2 + 72

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Q: 10. If CD = 5x – 2 and AB = 2x + 18, find %3D AB B.

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Q: If ƒ(2)=z²+1 then u(x,y) = 3+y² 3- y² + 1 83+y²-1 3- y²

A: Given  f(z) = z2+1 We know that z = x+iy Hence f = (x+iy)2+1 = x2+2ixy+i2y2+1= x2+2ixy-y2+1

Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: %3D %3D a-3 (a) In 6-3c-4 (b) In vb-a-2…

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Q: Given that A = 4ê + 3ŷ + 2, B = –2â + 42, and C = ŷ + 42, find: (Ã × B) × Č O a. -50âx-48ây+40âz Ob.…

A: Given A→=4x^+3y^+z^, B→=-2x^+4z^ and C→=y^+4z^ =i(a2b3-a3b2)+j(a3b1-a1b3)+k(a1b2-a2b1)

Q: O Solve The Set of Imear eguatiomos af (2 - 3X - 2y +42= 9. -34-22=5 4X+3y-2Z=7 %3D %3D

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Q: 10 Let A = ,C = 6 1 and D ,B = -3 -7 Find X, if AB" + 14C¬1 – |D|X = 0 %3D

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Q: 5. Use the in verse motrices to find CAB) (AD ond (2A 22 ー1 4 /- 3. B. 11 2. 3. 3. 2. 2- 2. N/-

A: Given The given inverse matrices are A-1=12114-121123432-2,…

Q: (ii) Hence, evaluate 37x² – 17x + 38 J, (x + 6)(x – 1)²"

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Q: Show that A ∩ B = A ∩ C need not imply B = C.

A: Let, A= {1,2,3} , B= {2,3,4} and C= {2,3,5}

Q: 8a+4=

A: Given : 8a+4=4+8a

Q: If y3 – 3ax? + x³ = 0, then prove that y2 + 2a?x?y-5 = 0

A: The proof is given below :

Q: х, у, Z) %3D ху rection of Ff to two d

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Q: Show that, by det by b2 92 •92 =TT (ai-bi) br b2 b3 an

A: We have to show that det111⋯1b1a1a1⋯a1b1b2a2a2⋮⋮⋮⋮b1b2b3⋯an=∏i=1nai−bi Let us consider the matrix…

Q: 9. If VW = 9x - 11 and SU = 16x – 12, find WT.

A: Given VW = 9x - 11 , SU = 16x -12 , WT = ? STUV is a rectangle , W is the midpoint of diagnols SU =…

Q: An expression that allows to calculate: 3ry |dr + + 5xy ) dy 4 3 Corresponds to: A) » LL- B) (-r²y+…

A: To solve this problem we shall use the Green's theorem. Green's theorem: Let C be a positive…

Q: If y = x+6), find y'. %3D O xx+6) (7xfin(x) – × + 6) O (x7 + O 7xSIn(x) – x² + 6 7+6) 7xfin(x) + * +…

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Q: 3,,7 _29 Simplify: V64x³y' z2º.

A: We have to simplify the following expression: 64x3y7z296

Q: 2. Convert Hhe matoior into reduced eche lon foom A= -2 %3D 3. 2 9 -2

A: The reduced row echelon form of matrix is used to solve the system of linear equation. The matrix…

Q: e that ) a; = 28 %3D i=1 - 4g: + 9h:)

A: The given summation is : ∑i=1136ai=28  a1+a2+a3+a4.....................+a136=28.…

Q: az ? Let z? + y2 + z? = 3xyz, then which of the following is 2z-3zy O a. 3yz-21 2y-3ry O b. 2z-3ry…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.