Find the slopes of the surface at the given point in each direction. z = V 225 – x2 - y2 (0, 9, 12) Interactive 3D Graph Help 15 10 510 15 10 5 15 -5 10 -10 -15 15 y (a) the x-direction (b) the y-direction

Q: Write the equation of the circle with center at   (4, 3) and touching the line 3x + y = –15.

A: Given that, the circle with center at 4,3 and touching the line 3x+y=-15.   The objective is to…

Q: Write the standard equation of a circle that has the end points of one of its diameters at (1,5) and…

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Q: Find the standard form of the equation of the circle with a diameter having two points (1, -6) & (7,…

A: The end points of diameter of the circle are (1,-6)  and (7,2). The standard form of equation of…

Q: Find the equation of the circle which passes through the points (1,-2),(4,-3) and  whose center…

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Q: Write the standard equation for the circle whose center is at (1,1) and whose radius is 5.

A: With center (h,k) and radius=r (x-h)2+(y-k)2=r2

Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

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Q: Find the intersection point(s) of the curves whose equations are: 5x - 4 %3D 2x - 4x + 22 The…

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Q: Find the equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5).…

A: The tangent at a given can be found by using the two point form of a line. If we are given the…