The hill has the shape of a cone, which in the XYZ system has the equation z = 4 - sqrt(x^2+y^2) A tourist moves up a hillside such that the projection of his route on the XY plane is a straight line with equation y=x-1 . Determine the coordinates of the highest point of the tourist's route.

Q: Find the area of rectangular plot if it's length is (5×+8y³) centimeters and it's width is (5×-8y

A: The area, A of a rectangle is given by A=lw, where l is the length and w is the width of the…

Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: How far is the center equation 10x^2 -y^2 -5y -11 to its focus?

A: Note: It is assumed that the equation, 10x2-y2-5y-11 is 10x2-y2-5y-11=0.   The conics are generated…

Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: For the equation y= x^2-9/x^2+2 find the intercepts and test for symmetry.

A: First we will find the intercept of the given equation on x-axis that means we will put y=0 in the…

Q: Give 3 points that lie on the parabola y=x^2-5x-2

A:

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Find the midpoint between the coordinate points (1, - 4) and (4, 0).

A: We can solve the problem by the formula of obtaining midpoint.

Q: Parallel to y = 11, through (-12,3)

A: The slope of line y=k is 0. Any two parallel lines have equal slopes.

Q: Find the equation of the line normal to the parabola y = x2 - 6x + 12 perpendicular to the line that…

A:

Q: the circle (x-2)^2+(y-5)^2=16 is moved up 3 units and to the left 1 unit. where is the center of the…

A:

Q: As for the relationship: y= 4x^4 - 2x^2, it is symmetrical to: a.y-axis b.x-axis c.origin d.none

A: The given function y=4x4-2x2 This is an even function because it satisfies the expression: fx=f-x…

Q: Find the equation of the line passing through the point (2,2) and cutting off intercepts on the axes…

A: The equation of a line in the intercept form is xa+yb=1this line passes through…

Q: Determine an equation for the parabola whose vertex is (- 2, 3) and goes through the point (4, - 6)

A: Given (h, k)=(-2, 3) and parabola passes through (4, -6).

Q: Find the y-intercept (b) of a straight line that passes through the points (3,6); (2,4).

A: To Find the y-intercept (b) of a straight line that passes through the points (3,6); (2,4).

Q: Write the equation of the circle of radius 5 that istangent to both axes and passes through the…

A: Write the equation of the circle of radius 5 that istangent to both axes and passes through the…

Q: Which point is on the circle with equation (x-4)^2 + (y+3)^2 = 9 ?

A: The equation of circle is given as (x-4)2 + (y+3)2 =9, it can be written as (x-4)2 + (y+3)2…