The circle of radius 1 centered at (-3, 4,1) and lying in a plane parallel to the yz-axis is a) (y-2)²+(2-1)² = 1 b) x² = t1 c) x = 1 d) (z-y)² + (y-1)² = -1 O a O b O do C

Q: Q2) Verify v(x.y)-3x3y-y3+5x is harmonic in the entire complex plane then find the conjucte harmonic…

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Q: Evaluate fF dR given that F(x, y) = 2yî + (xy – 2x)j and C is the curve in the third quadrant from…

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Q: ind the equation of the tongent plane to fox,y)=x²-2xy + 2y ² slope 2 in the positive x direction…

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Q: Suppose C is the line y = 5-2x in the xy-plane. Determine parametric and Cartesian equations of the…

A: Given the line equation C in xy-plane is y=5-2x     put x = k,  in above line . k be a parameter…

Q: A circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the…

A: We have to draw the suitable diagram first.

Q: Find ((x2 + 4y)i + 3 y j) · dř where C consists of the three line segments from (1,0,0) to (1,4, 0)…

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Q: v = (2x² – y² +4)i+(5y+3x – 6)j . Consider two closed paths starting (and ending) at a dock located…

A: Let A=(-1,0), B=(2,0), C=(0,2). Now,∫path 1v.dr =∫path 12x2-y2+4dx+5y+3x-6dy…

Q: Find the general soladtion of y+5y'=5

A: Given equation is y"+5y=5                          (1) Auxiliary equation to the homogeneous…

Q: Calculate Sc (4(x²-y)i + 8(y² + x)}) · dr if: (a) C' is the circle (x − 8)² + (y – 5)² = 1 oriented…

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Q: Q28) Use shifting graph to sketch a) y = |-vx +1|+2 b) y = -1 + 2cos (2x)

A: The graph of the function can be plotted using the shifting methods. The function shifts…