Tangent drawn from the point (4, –3,10) to the intersection curve of z = x² and z = 25 – y² surfaces Find the equation of the line?

Q: In a pumpkin tossing contest in Morton, Illinois, a contestant won the catapult competition by using…

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Q: Area of a regim enilosed is by Curves y= 12 and

A: To find the area enclosed by the given two equations

Q: In(xy) cos(Tx + T) when x 2 and y = 1/2.- Find the tangent plane to f(x, y)

A: We have to find the equation of  tangent plane.

Q: 1. Find the equation of the tangent line to x? + y? = 9, at the point (2, v5). %3D

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Q: 9 Find the distance from the point (-7,-3,4) to the xy-plane.

A: Distance of a point (a,b,c) from the plane lx+my+nz=p is (la+mb+nc-p)/sqrt(l^2+m^2+n^2)

Q: to the hyperbola the tangents. x² 16 9 = 1. Also, find the angle between

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Q: y=csinx  Identify the curves that intersect the curves under a right angle.

A: Given- y = c sinx To find- Identify the curves that intersect the curves under a right angle.

Q: curve y= sqrt(x+2) and the lines y=0 and x=7

A: Given: The equation for the curve is y=x+2 The sketch of the graph is :

Q: Find the tangent plane to the equation z = − 2x² + y² - 5y at the point (4,5,-32) z = Question Help:…

A: Given z = -2x2 + y2 - 5ypoint → ( 4 , 5 , -32 )

Q: Find the surface area of the volume generated when of y = x3, on the interval [0, 1], is revolved…

A: We have to find the surface area of the volume generated by the curve by rotating about the y axis.

Q: (x = t³ + 7 y = t5 – 3t d²y calculate for a function given parametrically dx?

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Q: Find the angle of intersection.of the curves X+yー4 dd xt=4メ 2. %D

A: The angle of intersection between 2 overlapping circles is the angle between the tangents at any of…

Q: ind point P and Q on the parabola y=(-x^2)+1 so that the triangle ABC formed by the x-axis and the…

A: Given that the curve is                         To find point P and Q on the given parabola, so that…

Q: The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) =…

A: Given,  The elevation of a valley above sea level (in feet ) is modeled by the function,…

Q: Find parametric equations for the line of slope 2 that passes through the point 13, 52 .

A: Equation of line in the parametric form form when it is passes through point x1,y1 and slope 'r' is…

Q: a circle is tangent to the line 2x-y+1=0 at the point (2,5) and the center is on the line x+y=9.…

A: Given that Line 2x-y+1=0 touches the circle at point P(2,5). It means line passes through P(2,5) and…

Q: Line segment AB lies on the coordinate plane at A (-3, 4) and B (-1, -2). The line segment is…

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