for z = In(2® + y*). Find

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A: Introduction: The process of determining the area of the region under the curve is known as…

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Q: (2 dr z²–10z+15) Integrate:

A: NOTE: Refresh your page if you can't see any equations. . take long division

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Q: Evaluate the integral. 2 4y² – 5y – 12 dy Л Уу + 2)(у — 3)

A: The given definite integral is: I=∫12 4y2-5y-12y(y+2)(y-3) dy

Q: a²z If z = In(x² + y²)., find ax2 ay?

A: Here we have;  z=ln(x2+y2) ...................(1) partial derivative with respect to x

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A: We have to find out derivative

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Q: Evaluate the integral. 4 | VE(6 + 2t) dt

A: use distributive property on function and integrate it.

Q: Integrates PDE SE ニー Zく Z8 te

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Q: Find dy/dr. y = In(re")

A: Given To find Derivative of y= ln(xex)

Q: Find an antiderivative of (3x3+9x5)/x6 in the variable x where x does not equal 0.

A: From the given problem:   3x3+9x5x6   So,    3x3+9x5x6=∫3x3+9x5x6dx   We can simply write as:…

Q: Sm Vx dx

A:

Q: Find the total differential z = 5x3y2

A: The given function is z=5x3y2. Total differential: Let z=f(x,y) be continuous on an open set S. Let…

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A: The given function z is zx,y=x2y2exy We have to find the partial derivative of z with respect to x.

Q: Find the antideviVative 2+x € ) =

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Q: Evaluate the integral. 2 Ỉ -1 7t sec ¯¹t dt 2/√√3 2 7t sec¹t dt =

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Q: Integrate the following: ,S (x4 – 5æ³ + 6) dæ - 1. So(1- r)*dz su(1– 2.

A: These questions are related to indefinite integration, we will use use integration formulas and…

Q: Use the Trapezoidal Rule to evaluate the integral fx-¹dx. 1 2|3 NIC 34 2

A: We have to evaluate the integral ∫12x−1dx by using the trapezoidal rule. Here, a=1 and b=2 And…

Q: Let z = 6exv , find dz %3D

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Q: dz Find if yz – In z = x + y ax

A: To find the partial derivative of z of yz-ln z=x+y with respect x, differentiate yz-ln z=x+y, while…

Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A: Given that, fx=x2+4x4-4x2+16 Differentiation formulae: ddxuv=uddxv+vddxu    [Product rule]…

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Q: Evaluate the integral

A: ∫xndx=xn+1n+1+C

Q: Compute sec? z + x) dr

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A: To find antiderivative

Q: Find the discontinnity point of &Cz): ニ そzそ+

A: Given that, the function is fz=z+1z2+2z+1. Set z2+2z+1=0 to find the undefined points. Compare the…

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Q: What is the net crarop for fW={+5,05 as we qo from x=2 to X=5?

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Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression.

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Q: Evaluate the improper iterated integ r1/x* y dy dx

A: