B 19 - A B(x,, yo) is on y=x² parabola graph. A(3,0) find x, value that |AB| become minimum. O A) 1 OB) 0 OC) 0.8 OD) 1.2 OE) 0.5

Q: (a) Prove that any two distinct tangent lines to a parabola intersect. (b) Demonstrate the result of…

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Q: You are given two real numbers a (a > 0) and b (6<0). The stationary point of the surface z = ba +…

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Q: Draw the shear diagram for the beam. Follow the sign convention. (Figure 1) Click on "add vertical…

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Q: Part (a) valuate 36e dz, where C'is the polygonal path onsisting of the line segments from z = Oto =…

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Q: Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis. A 3.33 square…

A: as per company guidelines we can solve only first question when multiple question being posted

Q: 1 -2? + 4x +3 16 y = where a is the horizontal distance in feet from the point at which (a) How high…

A: The height y (in feet) of the ball thrown by the child is  y=-116x2+4x+3 ..................(1)

Q: Suppose that a barrel with maximum radius R and height h can be constructed by rotating a parabola…

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Q: Q4/ Find the abs.max cand abs, min Valuse of the Runctia Kcx, y) = I+xy-3x on the closed regen…

A: We have f(x, y) = 1+xy-3x ∂f∂x = y-3, ∂f∂x = 0, y-3 = 0, y = 3 ∂f∂y = x, ∂f∂y = 0, x=0 So one…

Q: The section of a certain solid cut by any plane perpendicular to the x-axis is a square with the…

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Q: Z is a complex variable, z=x+iy question attached in photo

A: To calculate theline  integral over different paths

Q: Q- fiad theare eaclosed by the given curve 1- The parabola x = —y? and the line y = x + 2 2 The…

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Q: Find the minimum distance from the point (2, 4, 10) to the paraboloid given by the equation z = x +…

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Q: In sketching In (x - 2)² y = ex² determine the intersection of the " curve and the horizontal…

A: Solve the following

Q: 3.) Consider the paraboloid z = 4+a + 3y?. Imagine releasing a ball from the point P (3, 4, 61) and…

A: We are given a paraboloid z = 4 + x2 +3 y2 .  Let f ( x, y ) =  4 + x2 +3 y2 In part (a) we need to…

Q: 6. In Section 12.5, you learned that the distance from a point (ro, Yo, zo) to a plane ax+by+cz = d…

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Q: A parabola has an equation of y-32= 0. Compute for the surface area of the solid generated by…

A: Given: y=3x12 At y=0, x=0 The surface area of the surface of revolution formed by revolving the…

Q: 3. Fit a second degree parabola y = ax? + bx + c to the following data %3D 3. 4 y 1 1.8 1.3 2.5 6.3…

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Q: 1. Find the absolute minimum value of 0 < x < 4 f (x, y) = 4x² + 2xy – 2y? – 18x on the rectangular…

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Q: Let S be the quadric with equation 36x² – 4y? – 9z2 – 36x = 0 - - (a) Classify the graph of S. (b)…

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Q: Vf(x, y) = 4y sin(xy)i + 4x sin(xy)j, F = V f(x,y), and C' is the segment of the parabola y = 5x²…

A: According to the fundamental theorem of line integral, for a smooth curve C given by r→t, a≤t≤b,…

Q: Minimum distance between the parabolas y² – 4x –8y + 40 = 0 and x² –8x –4y + 40 = 0 is (A) 0 (B) 3…

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Q: Find the maximum and minimum values of f(x, y) = 2r + y on the ellipse r? + 25y = 1 %3D %3D maximum…

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Q: Let f(x, y) = In(2x² + 8y² – 3). The level curve f(x,y) = 9 is: A circle A parabola None of these O…

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Q: Which of the following point is the closest point on the sphere z² + y² + z² = 4 from the point…

A: Given Equation of Sphere X2+y2+z2=4 And point (3, 1, -1)

Q: 29. A tank full of water has the shape of a paraboloid of revolu. tion as shown in the figure; that…

A: Height is 4 feet and radius at the top is 4 feet So the parabola passes through the point (4,4) The…

Q: The section of a certain solid cut by any plane perpendicular to the x-axis is a square with the…

A: Given y^2=9y x^2=9y   a particular solid cut by a plane perpendicular to the x-axis is a square…

Q: Calculate [ 12/20 ds where C is the parabola r(t) = (t, t², 0). Let 1 ≤ t ≤ 4. X

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Q: Example 1.2 a point A on the parabola x = y? on the xy plane, a point B on the line y = x +1…

A: SOLUTION IS GIVEN BELOW:

Q: The points (2,4) and (3,5) lie on the parabola f(z)= ar + bx +c. If the axis of symmetry is 1 = 1,…

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Q: No. of integral points lying inside the parabola y² = 8x and circle x? + y? = 16 are %3D (A) 15 (B)…

A: To find  The number of integral points lying inside the parabola y^2=8x and the circle x^2+y^2=16.

Q: A parabola has an equation of y - 3xi generated by revolving the area bounded by the line a- 4 0 and…

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Q: Find the maximum value of f(r, y) = 10ry(4 – 8z - 4y) over the triangle with vertices (0, 0), (,0)…

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Q: Q4/Find the abs.max and abs.min valuse of the huctu f,y) = \+xy-3x on the cosol regen oounded by the…

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Q: drawn from the point A(2,10) on the parabola y = x^2 + bx + c Since the tangent is parallel to y =…

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Q: to prove thát thế answers 20. Parabolas with vertex and focus on the x-axis. 21. Parabolas with axis…

A: We have to Find the Differential Equation of the Family of Parabolas with vertex and focus on the…

Q: #3. Find the point on the surface x2 + 2y + z = 3 that is closest to the point P = (-1,3,2). You can…

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Q: 16. Consider a rigid square ABCD as in the figure with A and B on the x and y axis respectively. [19…

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Q: Q/ Find the points have minimum distance from the origin to the surface хуz?-1

A: We have to find the points that have minimum distance from origin to the surface of xyz2=1

Q: 4) The solid lies between planes perpendicular to the x-axis at x = 0 and x = 6. The cross sections…

A: Given: y=-5x  to the parabola y=5xAs we can see in the diagram is given below.

Q: III. Consider the parabola C: 2 - 4 = -(x - 2)² on the xz-plane. 2. Sketch the portion of the…

A: Given,  Parabola :C: z-4=-(x-2)2 on xz-plane We have to draw or sketch the portion of cylinder…

Q: H.W: Find the center of mass- a thin Plate af deusity S=3 bouuded the by lines X- o, y=x iad the…

A: we have to find the center of the mass of a thin plate of density δ =3 bounded by the line x=0, y =…

Q: H し Owhat is the coordhinate point at the maxinmum? (一-) -5-4-3-2-11234 BWhat is the coordinate…

A: The point where a function takes the highest value is the maximum and the point where a function…

Q: Find the maximum and minimum values of f(x, y) maximum value = = xy on the ellipse 2r2 + y? = 2.…

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Q: 3(rnevious) Evaluate the flax of P=(3ry +3x)7-Z5 across Hhe the parabola y= 1-(x-o*, =1 A the closed…

A: Consider the given information: Let F→=3xy+3xi→-32y2j→ And the region is given by, y=1-x-12, x=1 and…

Q: Let F(x, y) = (x + 1)j, and let C be the portion of the parabola y = x² that starts at (0,0) and…

A: The integral ∫CF⇀.dr⇀ is positive. From the graph the angle between direction of F⇀ and dr⇀  is…

Q: 6. trapezoid DEFG with vertices D(0,-3), E(1, 3), F(3, 3), and G(4,-3) in the y-axis ty O X D' =_ E'…

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Q: The four figures are graphs of the quadratic surface z = x? + y2. Match each of the four graphs with…

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Q: 16. Evaluate (x + V9) ds where C consists of two segments: the part of the parabola y = x² from…

A: In the given question we have to evaluate the integral ∫C(x+y)ds where C is the regionconsist of two…