x^4 + x ln y + sin x, where x is horizontal distance at x-direction, y is horizontal distance at ydirection, and z is ground level. (i) Compute the slope equation of the terrain at x and y direction. (ii) Evaluate the slope of x and y direction at coordinate (4, 5).

Q: Find the Slope at (2,1) given (10-x)y2 = x3

A: Given equation (10-x)y2=x3 Formula for slope at a point is slope= dy/dx  at that point

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A: Equation does not passing through origin.  Hence there are no tangent line whose passing through…

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Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: b) Write an equation of the tangent line to the curve x² + y - 25 = 0 at the point (3,4).

A: To find an equation of tangent line to the curve x^2+y^2-25=0 at point (3,4).

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A: This question is taken from the tangent and line in which we have to all points on the graph that…

Q: B) Find the equations of all lines having slope-1 that are tangent to the curve y = -3)

A:

Q: From the point (0, –5), tangent lines are drawn to the circle (x – 7)2 + y = 4. Find the slope of…

A: Equation of line passing through point (x1,y1) and slope m  (y-y1) = m (x-x1)

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Q: if a line is neither horizantal nor vertical and does not pass through the origin, show that its…

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Q: find an equation for (a) the vertical line and (b)the horizontal line through the given point. (-1,…

A: we have to find an equation for (a) the vertical line and  (b) the horizontal line through the given…

Q: A) Find an equation of the line tangent to the function of x? + (y - x)? = 9 atx = 1.

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Q: 4) Given :y = ax + bx +1, the curve touches the line x+ y = 0 at %3D The point (3,-3). Find the…

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Q: (2) Find the slope-intercept form for the line perpendicular to 2x-3y =-6 and passing through (4,-9)

A: The slope intercept form of line with intercept c and slope m, y=mx+c. The product of slope of…