Q: Find the shortest distance, d, from the point (11, 0, –6) to the plane x + y + z = 6. = p
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A: Here given curve by2=x+a2
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Q: 5. Prove that whole length of the curve x3 + y2/3 = a/3 is 6a.
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Q: 13) Find the points of intersecti on of the parabola and the line. y=2x^2-3x-1 and y=x+5
A: Equate the equations with each other and solve for x to find the point of intersection .
Q: Find the length of arc of the curve 9y^2=4x^3 from the origin to the point (3,2 squareroot of 3)
A: The arc length of a curve y=f(x) from x=a to x=b is defined by the integral L=∫ab1+dydx2dx.
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Q: 9. Prove, by coordinate geometry that QRST is a parallelogram. Q(0
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Q: (b) Prove that the perpendicular bisector of a chord of a circle passes through the centre.
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Q: Find the minimum distance from the parabola a – y? = 0 to the point (0, 3). Minimum distance =
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Q: 2. Evaluate dy, where C is the part of the parabola y = x² from (1, 1) to (2, 4).
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Q: Find the shortest distance, d, from the point (4, 0, –4) to the plane x + y + z = 4.
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Q: Demonstrate that the circles (x- 2)² + y² = 2 and x? + (y – 2)? = 2 share tangent at point (1,1),…
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Q: Find the shortest distance, d, from the point (5, 0, -8) to the plane x + y + z = 8. d =
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Q: Show that the square of the length of the subtangent at any point on the curve by2=(x+a)3 (b is not…
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Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 5? a = b…
A: Given: The line 4x+y=b is tangent to the parabola y=ax2 when x=5. To Find: Value of a and b.…
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Q: 16)- Consider the quadrature formula 6 | f(x)dx = Af (-6) + Bf(6) -6 If the degree of precession is…
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Q: For what values of a and b is the line 2x + y = b tangent to the parabola y = ax 2 when x = 2
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A: Definition used - Vertical distance is given by -…
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A: given , if PP' IS a diameter of the rectangle hyperbola xy = c^2 show that the locus of the…
Q: What is the maximum vertical distance between the line y = x + 12 and the parabola y = x2 for…
A: See the attachment
Q: Find the area of the segment cut off from the parabola x2 = 8y by the line x- 2y + 8 = U. %3D
A: Introduction ::
Q: What is the minimum vertical distance between the parabolas y = x² + x en y = x – x²?
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Q: Show that the square of the length of subtangent at any point on the curve by 2 = (x+a)3,(b is not…
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Q: Ue langrange multipliars to fined the Shortest distancé fam the to the pGine x+g+Z=1. point (7,0,)
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Q: Sketch the solid described by the given inequalities. 3sps 4, os ps a/3, 0S0SR 1.5 21.0 0.5 00…
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Q: Prove that the midpoint of the hypotenuse of a right triangle is. equidistant from the verticle
A: Instead of T,S,V and M I choose C,A,B and D
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A: Hi! You have posted multiple sub-parts. As per norms, we will be solving only three sub-parts. We…
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A: Using the parametric equation of the curve C.
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Q: The semi-hyperbola H(X)=(sqrt(x^2-1)) is continous at which x interval?
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Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 4?
A: Consider the equation of the parabola, y=ax2 differentiate the equation with respect to x to find…
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Q: Evaluate (x - iy) dz along (a) the parabola y = 2r? from (1, 2) to (2, 8),
A: In the given problem we have to evaluate ∫C(x2-iy2)dz along the parabola y=2x2 from (1,2) to (2,…
Q: 3. Find the shortest distance from the origin to the plane x – 2y – 2z = 3. |-
A: Here I am attaching image so that you understand each and every step.
Q: Consider the parabola f (x) = x² – 4x and the line g(x) = –2x – 1. Determine the %3D point(s) of…
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Q: 17) - Consider the quadrature formula ²₁ f(x) dx = f(-²) + ‡ƒ (²) If the degree of precession is 1,…
A: Consider the given quadrature formula, ∫-11fxdx≅45f-12+65f13 Here it is given that degree of…
Q: Which of the following points do not lie on any tangent line of the parabola y = x2 + 2? (2,6) O…
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Q: What is the maximum vertical distance between the line y -x = 2 and the parabola y = x? in the…
A: We have to find the maximum vertical distance between the line y-x=2 and the parabola y=x2 in the…
Q: Find a number k such that the line y=6x+4 is tangent to the parabola y= x2 + k.
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