Find div F and curl F if F(x, y, z) = xz³i+ 4y°x²j+ 6z²yk. div F= curl F =

Q: anUNIVE Q3) Find the integration: - (x+1)vx2+2x

A: As you have asked multiple questions so I have answered only first question as per the…

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Q: 1 3. Savads 4Vūdu 4.

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Q: Find div F and curl F if F(x, y; z) = x°i – 7j+yzk. div F= curl F=

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Q: There are some instances when an abbreviated form of the distance formula can be used. What is the…

A: Please see the below picture for detailed solution.

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A: Given query is to find the integral.

Q: Find V · (V × F) if F(x, y, z) = 6 sin xi + 6 cos(6x – 7y)j+ 2zk. | V· (V × F) =

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). %3D 13 r(t) = ti + t5j K(t):

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Q: Find curl (3z i+ 4x j+ 5y k). curl(3z i+ 4x j + 5y k) = ( i )i + (i )j+( i )k

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Q: Question 3 Suppose C=0, so that 2y 24y 5x3 = 0. Find all points (x,y) at which the tangent line to…

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A: Given,  tanx=5 x=tan-15 x=78.69°

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A: Given: ∫dxx2+8x−9 Let I = ∫dxx2+8x−9 ⇒I = ∫dxx2+9x-x−9

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Q: Evaluate the area of the region bounded by y2 = x and y2 = 6−x.

A: To find : Area between y2=x and y2=6-x First let's find the intersection points x=6-x⇒x=3 Therefore,…

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Q: 1. Rules of LDef nite Integrals: 12 a) b) rpx 12 12 f(x)dr 4, find the If f(z)dr = 12, " $(z)dz = 6…

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A: We can solve as follows

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Q: Which identity is most useful in evaluating sin² x dx? sin? x + cos? x = 1 cos 2x x = 1- 2sin? O…

A: The given integral,         ∫sin2x dx

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Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the lin l1…

A: Let's find.

Q: Find the divergence of the vector field F at the given point. F(x, y, z) = xyzi + xz²j + 3yz²k; (2,…

A: This question is based on divergence of vector.

Q: S (1/(X(Im)*) dx X(Inx)

A: LetI=∫1xlnx2dxLet u=ln(x)differentiate 1xdx=duI=∫1xlnx2dx.I=∫1u2du.I=∫u-2duUse power…

Q: Given: z = a' + æy", r = uv² + w®, y = u + ve" az Find when u = 2, v = – 3, w = 0 dv

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Q: 2t +1 lt +8 -dt + 4t +4t 3

A: Let's find.

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 10tj – 3Vtk) dt

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Q: Find V x (V × F) if F(x,y, z) = 8xyj+ 4xyz k. V × (V × F)

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Q: 1- x2 If f(x) = then f'(x) = x² + 1 2/x(x² + 1)³

A: Given : f(x)=xx2+1   To Show: f'(x)=1-x22x(x2+1)3

Q: dy when x = 1 is dx If y = e-ª In x then A) 0 B) Does not exist D) = E) e

A: We have to find the dy/dx    at x  =1