z is a complex variable z=x+iyFind all points of discontinuityf(z)=(3z^2 +4)/(z^4 -16)

Q: Find the distance from the point (-5, -1, -3) to the plane 5x + 3y + 2z = 1

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Q: 7. Sketch the surface 15zs9-x' - y² and x'+y' <1

A: To find:

Q: 3. Plot the set of points in the complex plane which satisfy |2z + 3 – 4j| > 3.

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Q: A The roots of Characteristic equetion f oreler, lineor homopeneous-equation with constant…

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Q: Find the distance from the point Q(1, 2, -4) to the plane 2x - 5z = 5.

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Q: 3 K find OXA Curd A) at

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Q: Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with…

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Q: ear equation of the plane through the nts (6, 3, 2) and (4, −1, 1).

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Q: Find the distance from the point (2, 2, 3) to the plane 2x + 3y + 5z = 0.

A: Formula of distance of a point from a plane:

Q: 3. Express (j-3)° in rectangular form.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the points on the graph of z = xy + 8y where the tangent plane is parallel to 9x + 5y + 9z = 0.…

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Q: Find the distance from the point (-1, 3, -1) to the plane -1x + 2y -5z=1.

A: Given: The point (-1, 3, -1) and the plane -1x+2y-5z=1 To find: The distance.

Q: The plane through the points (2, 1, - 1), (0, -2, 0), and (1, - 1, 2) is parallel | to the line x=…

A: Given that points are (2,1,-1), (0,-2,0) and (1,-1,2) The parametric equation is,…

Q: The force on a particle is described by 8x3 - 6 at a point x along the axis. What is the work done…

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Q: (a) S,(Iz – il2 – z) dz along the semicircle y = 1+ et“, 0 < t < n; -

A: ∫γz-i2-zdz=∫0π1+eit-i2-1-eitieitdt=∫0π1+cost2+sint-12-1-eitieitdt=∫0π1+cos2t+2cost+sin2t+1-2sint-1-e…

Q: Find the equation of the plane parallel to the line r = 2i + t(−4i + 3j + 8k) and containing the…

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Q: 12) The distance from the point S(-10, –4, –6) to the plane -9x + 2y + 6z = 4

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Q: Find the distance from the point (2, 0, 0) to the plane x + 2y + 2z = 0.

A: Given a point, (2, 0, 0) and the equation of the plane x + 2y + 2z = 0.

Q: The force on a particle is described by 2x3 - 4 at a point æ along the a-axis. Find the work done in…

A: The force on a particle is described by 2x3 -4 at a point x along the x-axis. Find the work done in…

Q: Find the distance between the parallel planes.2x + y - 2z = 0 and 2x + y - 2z = 5

A: The given parallel planes are 2x+y-2z=0  and  2x+y-2z=5. The objective is to find the distance…

Q: Find an equation for the tangent plane to z-x-y = 3 at the point (2, 1, 8) Z - ) %3D

A: given z-x2-y2=3 at point 2,1,8

Q: Find the locus of the set of points z in the complex plane for which z - 4 4 Iz +6-+ t| %3D

A: Use the property z1z2=z1z2 and z=x2+y2. Take z=a+ib. So,  z-4z+6+i=4z-4z+6+i=4

Q: Differentiate, and make sure to show all your work: y = exin(2z) %3D

A: The given question is taken from the derivative of the function in which we have to find the…

Q: Find the points on the graph of z = xy +8y where the tangent plane is parallel to 9x + 5y + 9z = 0.…

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Q: The plane through the points (2, 1, –1), (0, –2, 0), and (1, – 1, 2) is parallel to the line x=1-t,…

A: Equation of plane passing through x1, y1, x2, y2, x3, y3 is given by,…

Q: Find center and radius X^2+y^2+6x-2y+1=0

A: Given,          x2+y2+6x-2y+1=0We know that,        The equation of the circle using center h,k and…

Q: Find the distance from the point (-3, 4, -1) to the plane 5x−4y−5z=−3.

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Q: Find all points in the xy-plane with integer coordinates located at adistance 5 from the origin.…

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Q: A point moves so that sum of the squares of its distances from the vertices of a triangle is always…

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Q: Describe the set of points in the complex plane that satisfy z + (2)- |1– |

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Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: Find the distance from the point (2,-3,5) to the plane passes through the points (1,0,-3), (3,4,-6)…

A: (b) Given point P2,−3,5 and a plane passes through the points 1,0,−3, 3,4,−6 We have to find the…

Q: Find the distance from the point (1, -4, 4) to the plane −2x−4y+3z=5

A: Given:The point (1, –4,4) and the equation of the plane –2x–4y+3z=5.The distance from the point…

Q: Find 3 non-collinear points in the plane ax+by+cz+d=0. (Hint: Set two variables to zero for each…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: -2n de 24. Show that 2n. V2-cose

A: We have to prove given identity:

Q: 3. Find how many roots the equation 2z4 – 323 + 3z² – z + 1 = 0 - - has in the right half-plane Rez…

A: Given: 2z4-3z3+3z2-z+1=0

Q: Explain theorem of Wronskians of Solutions?

A: To Find : Define the Theorem of Wronskians of solution

Q: Find the distance from the point (5, -4, 1) to the plane −3x−2y−3z=−4

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Q: Find the area of on of the triangle that can drawn between the planes Зх — бу- 2г 15 and 2x + y - 2z…

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Q: Find the families of characteristics of the PDE (1-x²)w„ - u,, = 0 in the elliptic and hyperbolic…

A: Pde

Q: The plane through the points (2, 1, - 1), (0, -2, 0), and (1, -1, 2) is parallel to the line x 1-t,…

A: equation of plane for non collinear points , x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1 we will use…

Q: Find four roots of equation z^4= -8-i8 v3 in cartesian form

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Q: Sketch the curve in the Complex Plane i) Iz-31 = \Z+3il %3D

A: Just use the definition of modulus of a complex number and you are done.

Q: Find the distance between the point (1,3,-1) and the plane 3x - 4y + 5z = 6. (Enter an exact answer…

A: Given point 1,3,-1 and the plane 3x-4y+5z=6

Q: tion of the sphere with the given characteristic 1, -8, 6)

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Q: J7 -dz 21-8

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Q: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th

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Q: Find the distance from the point to the plane. (3, 0, 10), 2.x + 3y + z = 2

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Q: ) Find an equation of the tangent plane to the paraboloid defined by -- 4x² + 5y² at the point (,-2,…

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