Find Dzy if y = Vexz +eVx² %3D

Q: 5. Differentiate y = (x + 2)e“.

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Q: Find dy 2 2.

A: From the given problem:   x2y2=x2+y2   As we know that the Power law:   dxndx=nxn-1   Now…

Q: (27e9x + e12x)3dx

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Q: find az ond dz.

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Q: DIFFERENTIATE ITOU h(t)= 6t + 1 6t-1

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Q: olve y′′′′+ 3y′′−4y = e^2t

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Q: Evaluate (x² + y²) dxdy

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Q: Find d⁵y/dx⁵

A: Given - y = sinh4X2 - cot6X3 To find - Find d5ydX5       Formula used - ddxcotu = -csc2u·dudx…

Q: x°V16r6 – 24x³ + 9 dx .5

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Q: Evaluate dx V4x-x

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Q: 2x dx V5 + 4x – x²

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Q: Find dy. 8.

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Q: Sólvé. |10x + 4| – 5 = 6 x = 1 Preview %3D

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Q: dy da 5y 1) 3x+1

A: Given differential equation is y' -5y=3x+1

Q: хах S Vx+3

A: We have to solve given integral.

Q: S S( 3x² +x³y)dxdy

A: Evaluate ∫13∫023x2+x3ydxdy=?

Q: Find dy Xp 8-

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Q: Find dy 2 da Y=4+ CCosu 4

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Q: Differentiate y =Vx +2.

A: Given y=√(x+2)

Q: L+ Xh =7X %3D 2.

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Q: Evaluate: ³₁₂₁(4x²y — z³) dz dy dx

A: The given integral is  ∫-13 ∫-24 ∫10 4x2y-z3dz dy dx

Q: Evaluate S(4sinx + 3cosx - (5csc^2 x)dx

A: From the given problem:   I=∫4sinx+3cosx-5csc2xdx   From the sum rule:   ∫fx±gxdx=∫fxdx±∫gxdx   So,…

Q: Jcos'xsinx dx 2.

A: (2). Given: I=∫cos3xsinxdx   ...1   We know that, the Power rule; ∫xndx=xn+1n+1+C ; n≠-1

Q: Integrate +9 +C

A: topic- indefinite integral

Q: find d^2y/dx^2: y^3=4x^6

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Q: In x y = х

A: Given that,  y=lnxx5 QUOTIENT RULE: If u and v are two functions of x then the derivative of the…

Q: Evaluate , L (x + 3) dydx

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Q: Evaluate dx Vx+2

A: We need to evaluate integral.   As our policy we can only solve one question. Please upload other…

Q: dy 4. if y = csch-1 2º . de

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

Q: Find Inz3 dz

A: LetI=∫lnz3zdzLet z3=udifferentiate 3z2dz=duDivide 3z2 on both sidedz=du3z2dz=du3z2Divide z oboth…

Q: y%3D

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Q: dx X Cinx)3 Con Or Div

A: Given improper integral is ∫4∞1x(lnx)3dx If we find the value of improper integral is finite then we…

Q: Evaluate [ x² V1+x' dx by using substitution method.

A: on doing integration we get

Q: Evaluate V1 + z²dz dy

A: In this question we have to find the double integral. We will use the technique of change of order…

Q: 4. y= In(3x) 5. y= etanx

A: 4) Given data: The given expression for the function is y=ln(3x). The expression for the first…

Q: 4 x² + 4

A: Follow the procedure given below.

Q: cos36xdx 1. S Vsin6x 4

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Q: dx LV25x² – 2

A: ∫1x25x2−2dx Let u=1x Then du=(1x)′dx=−1x2dx So, we get dxx2=−du

Q: Find ?Va² - x2 dx

A: Explanation of the answer is as follows

Q: - SxV4=x°dx

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Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

Q: Evaluate: ³₂2₁ (4x²y – z³) dz dy dx

A: We have to evaluate ∫03∫-24∫104x2y-z3dzdydx.

Q: y= %3D

A: Given that : Graph of the function :

Q: 1. y' + у %3D ех

A: Solution:

Q: 5x*dx .4

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Q: @S tany Secxdx 3 10

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find Inz3 -dz

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Q: S y³Vy² + 4 dy 2

A: To integrate the given function , apply the substitution method to convert the integral in simpler…