Suppose we have f (x, y) = x + 1' What is the level curve for f (x, y) = 5 ? (a) a parabola (b) a line (c) a circle (d) a hyperbola (e) a cardioid

Q: Write the equation of a circle with centre (5, –2) which is tangent to the Y-axis. o (x + 5)² + (y –…

A: Here we have to write the equation of a circle with centre (5,-2) which is tangent to the y-axis.

Q: For x^2+y^2-8x-4y+C=0 (a)If this is the equation of a circle with centre (4,2) and radius 3,find the…

A: Given…

Q: What is the equation of a parabola with focus at (2,6) and directrixx = 8? %3D O y - 12y + 12z – 24…

A: Equating distance from directrix to distance from focus gives equation of parabola.

Q: What is the equation of the tangent line to the circle x2 + y? = 34 at the point (5, 3)?

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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: Consider the circle with the equation (x+2)^2+(y−1)^2=25 Its center is (           ,         )  and…

A: GIven equation:- x+22+y-12=25

Q: The family of parabolas with vertex and focus on the y-axis. A B C D y'- xy'' = 0 xy'-y "=0 xy"'-…

A: The general equation of the parabola with the vertex and focus on the y axis can be defined as:…

Q: 7. The level curves of f(x,y)=√36-4r² - 9y² are f(x₁80= √36 6- A. Sometimes parabolas and…

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Q: Find the tangent and normal to the ellipse x? - xy + y? = 7 at the point (-1, 2). (See Figure 3.51.)

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Q: The parabola y = x^2 is compressed vertically and translated down and right. The point (4, -10) is…

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Q: A circular disk of radius 5 meters centered at the origin has been unevenly heated. The temperature…

A: To find where the temperature on the disk is the greatest, we need to find the maximum value of the…

Q: Determine the (x, y) co-ordinates for Leigh's and David's position at time s. which Find the…

A: Given that David is climbing the parabola y=x2-6x+14. (d) At time s, the position coordinates of…

Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

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Q: The family of parabolas y =(1/a )-(x2/a3) ,where a > 0, has the property that for x ≥ 0, the…

A: Given, Equation of parabola y=1a-x2a3 where a>0  and x≥0 x-intercept is (a,0) y-intercept is 0,1a

Q: The function of f(y) is a "sideways" parabola with a standard equation of SW) = ay² + by + c, f(G)…

A: Given: Focus of Parabola:  (2, 6) Equation of Directrix:  x = -15

Q: Pt 1: Find the slope of the tangent line to the ellipse (x2/36)+(y2/9)=1 at the point (x,y).…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: How would I sketch the level curves of the plane segment 2x+y+2z=8?

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Q: A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb…

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Q: a) Determine the point at which the slope of the tangent to each parabola is zero. i) y= 6x2-3x + 4…

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Q: 6. A quadrilateral FGHI is similar to quadrilateral F'G'H'T'. G G' H' 48 cm2 ?? cm? 12 cm 8 cm Given…

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Q: formed by points of intersection of ellipse (B) Area of quadrilateral 2 2 x² + y² - xy + x - 4y - 12…

A: Given,  x2+y2-xy+x-4y-12=0 We have to find the area of quadrilateral formed by points of…

Q: 2) Describe the level curves of the surface Z = √36 4X² 9Y²

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Q: The equation of the line touching both the parabolas y = 4x and x' =-32y is x-2y+1 = 0, then a is

A: Introduction :