Q3-Evduate the Parametric sepoesentations for Cwhese f(z) = z²-), and the Curvec is (a) the Semicircle z: ae'e Countour Intega sf(Z)dz Using the %3D (0OSA); (6) the Semicircle z=de(xs sâx);(0)the Circle

Q: (6) Let -1 3 1 y = 2 and uj = -1 u2 -1 -2 Find the closest point to y in span{u1,u2}. What is the…

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Q: If a unit circle C is traced by R(t), R(0) = (0, 1) and (0) = (2,0), then the circle

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Q: _4. The graph of the equation r? = 8 cos20 is a (b) cardioid. (a) limacon (c) circle (d) lemniscate.…

A: 4)Given, The equation is r2=8 cos2θ Definition of the polar equation: If a polar equation is of the…

Q: Which among the circles has radius 5 units? (x- 3)2 + (y – 4) = 25 %3D (x- 3) +y-4)² = 5 (x-4) +…

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Q: 7) Determine the shape of the I point parabola with focus F(2,5/2) and directrix line y=7/2. *

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Q: Find distance between the point Plane Containing p oints c li21-1) (315/9) f (-12,-8) Coiojo) and…

A: Given, the points (1, 2, -1), (3, 5, 9), and (-1, 2, -8) are on the plane. We have to find the…

Q: Line segment AB is a diameter of the x² +y² + z² - 2z + 8y = 9. Find point B if A = (0, у, 0).

A: To find the point B if Coordinates  of A are given for the sphere.

Q: Guen Kuncbon foo) 28°-loct3. of secant line joining a) Find slope m (2,F(-2) and (0,F (0)

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Q: Where an Interior point Exists?

A: Interior point: Let S⊆ℝn.  A point a∈ℝn is said to be an Interior Point of S if there exists an…

Q: In the automobile assembly company; There is a robotic arm on an assembly line in charge of placing…

A: The given diagram is                 The given coordinates of B is So the distance of AB=5(x…

Q: Q3 Check the symmetry and graph the curve in polar form if 0 = 0 and equal 1/6 to 1/2 at increments…

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Q: 2x-y-5+2(x-2y-1)=0

A: Given : 2x-y-5+λx-2y-1=0 is the equation of the incident ray. 3x-y+4+μx-2y+3=0 is the equation of…

Q: Q3b): Compute zdz over several contours (i) The line from 1 to 1+ i. (ii) The circle of radius 1…

A: let fz=1z.  Since f(z) has an antiderivative in an open region D, then the line integral over given…

Q: Find (d^2)y/d(x^2) at t= pi/3 for the parametric curve given below. Write your final answer in the…

A: Given parametric curve, x = t+sin(t) y = t-cos(t)

Q: Prove that the locus of the point of intersection of two tangents to the parabola y? = 4ax, which…

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Q: why wouldnt both be independent of the geometry S, as for the elliptic you can create a three point…

A: It is untrue that whether the geometry is independent of the space depends on the number of points…

Q: Find an equation of the circle with center at (-4,1) that is tangent to the y-axis in the form of…

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

Q: 0(0,0). U(0,3), A(5,3), and D(5,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0)…

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Q: Point P(a cosh t, b sinh t) where t is a parameter lies on the hyperbola with x² y² Cartesian…

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Q: Evaluate S (* + 7)i + (2») 5).dF. where Lis the quarter-circle with parametric form z = cos (t) and…

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Q: Write an equation for the function graphed below 15+ 14+ 13+ 12+ + + + -7 -6 -5 -4 -3 -2 -1 -1 -2 -3…

A: A following graph:To Find:Equation of the above graph.

Q: 3. Use Green's Theorem to show that to where C is the unit circle x² + y² = 1 in the…

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Q: Integrate counterclockwise dz, C' the circle with z² + 8z + 15 center -3 and radius 2. dz = La z2 +…

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Q: (c) Show that Green's Theorem is satisfied by evaluating both the line integral and the double…

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Q: For the curve f(x) = 1+40x^3-3x^5 , what is the point of inflection (maximum) of the tanent line…

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Q: A set of points (x.y) are located on a rectangular coordinate such that the absolute value of the…

A: Given: A set of points (x, y) are located on a rectangular coordinate such that the absolute value…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.