Find / 5zvz – 1 dz 22 - 1 dæ

Q: 8- (y – y) dy

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Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

Q: (b) Find dy

A: Given that: exy+x2-y2=10

Q: cransform of 3(t-2) u(t –

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Q: Z'1z Where Cil21 ComflexAumber

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Q: Fird the inversc trons frm of ; F (5) = sz+ 25

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Q: Find mZQ. 3 R. 1 mZQ = %3D Submit

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Q: need it fast  do number 8

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Q: Find XQ if MQ = 3x- 3 and XQ= 2x- 6 %3D X. L. MN

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Q: 1.y" — у' — 2у 3D 7sinh3t — Зcosh3t ; У (0) 3 2, y'(0) = 4

A: The given differential equation is y''-y'-2y=7sinh3t-3cosh3t; y0=2, y'0=4. Calculate the values ys…

Q: 2y+8 2xe to %3D y10)=8= , yco= 2

A: I have solved by using formulas and series expansions.

Q: Evaluste for 2: 0SIS1,0Sy s3. dr dy .

A: The sum rule of exponent states that ap+q=ap·aq. Use the sum rule of exponent to simplify the…

Q: Differentiate h(t) = 54ª %3D

A: Solution of given question is written in below steps.

Q: (zy+9)8 dydr

A:

Q: (5+2y)* dy

A: (6) Given- ∫-2-35+2y4dy To find- The value of the above integral. Identity Used- Using the power…

Q: Find mZR. R 7 mZR %3D Submit

A: Solution: The objective is to find the required angle

Q: Evaluate sech(3 – 2y)" dy

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Q: Ex Find div F when F=3xyi+ 2xy3at (リ-1)

A: To find divergence of the given vector field at (1,-1)

Q: find dy if y

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Q: 1. y=x+5 y= 6

A: A system of linear equations is a set of one or more linear equations. Each linear equation…

Q: 1. ř (t) = (3 – 4t) i + 6t j- (9 + 2t) from –6 < t<8. %3D

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Q: Find ƒyxyz if ƒ(x, y, z) = 1 - 2xy2z + x2y.

A: Given that, fx, y, z=1-2xy2z+x2y           ...(1)

Q: To + w -dw Find

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Q: Find mZB. C 10 10 D mZB %3D Submit

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Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: find all SoluHons) to the equation y+3 = %3D

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Q: | Aut (Z561)| =

A: We have to fin the cardinality of  Aut(Z561) that is  | Aut(Z561)|.   Result used (1)      ϕ(p×q×r)…

Q: If y = sech (kxN) and (1-289 x26 ) (y')² = A Then A =.....

A: We know ddxsech-1x=-1x1-x2 By chain rule ddxsech-1f(x)=-f'(x)f(x)1-{f(x)}2

Q: If z = x2 - xy + 2y2 and (x, y) changes from (2, -1) to (1.96, -1.05), compare the values of Az and…

A: Given. Z = X²-XY+2Y² ∆Z =z(X2,y2) - z(X1,y1)  And  dZ = differential of z with respect to X and Y.

Q: Find

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Q: If z = x2 - xy + 3y2 and (x, y) changes from (3, -1) to (2.96, -1.05), compare the values of Az and…

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Q: Calculate L{uz(t) (t² – 7t − 2)}

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Q: aluate 2zy when Z =- and y = 3. %3D

A: From the given data

Q: If x2 + y2 = 4 which has domain Dr=[-2,2] range Rf=[0,2]. Shrink and stretch it vertically by 3…

A: We are given:  x2+y2=4⇒y=4-x2=f(x) For shrinking vertically by 3 units , we have: f(x)→13f(x) Hence,…

Q: y=3x^(3/2) on [2,4] find arclength

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Q: 72 Y : 1 Vt2 +t+1 dt ||

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Q: Use the substitution u = (x – 1) to find S Tx-1) dr, |(x-1) giving your answer in terms of x.

A: Substitute as given in the question Take the derivative on both sides to write it in differential…

Q: Find dy/dr. y = esin 2x

A: We will use chain rule of differentiation to find the derivative.

Q: dr = a(p- 1)(q-), dt

A: In this question, we solve the given initial value problem dxdt=α(p-x)(q-x)withx(0)=0.

Q: Find curl (3z i + 4x j + 7y k). curl(3z i + 4x j + 7y k) = i Di + ( Dj + ( i )k

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Q: Find the of the fol Howing term valke Value 3- 2. 4- 5.

A: In the question it is asked to calculate the determinant of matrix. 354723465.

Q: Find curl (8z i + 9x j + 10y k). curl(8z i + 9x j+ 10y k) Di +(i Dj +( )k

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Q: Differentiate with respect to t 100 = x2 + y2

A: give equation ;- 100=X2+Y2 when we differentiate above equation with respect to t , we get

Q: dz and dz if rys + y2³ + zr³ = 7. Find

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Q: t) = y"+y= √2sin(√√√2t), y(0)=9, y'(0) = 0

A: Given,        y''+y=2sin2t, y(0)=9, y'(0)=0

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

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Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

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Q: 87 V 174x-x2 9Vx2+y2 dydx = %3D

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Q: у" — 4y' + у %3D ex + 15

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Q: Find dy when r + y? = 5.

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.