EXAMPLE 2 Vertical and horizontal tangent lines Find the points on the interval -TS0 S T at which the cardioid r = tangent line. f(0) = 1 – cos 0 has a vertical or horizontal

Q: What is the slope of the tangent line to the curve given by x=sin(y) at the point (0, 37)? O-1 O 1 O…

A: Given x= sin (y). Slope of tangent line is  = dx/dy Differentiation of sine is cos .

Q: Find the tangent plane to the equation z = 2y cos(5z – 4y) at the point (4,5, 10) z = 2y- 2= 0 X…

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Q: Which of the following lines is perpendicular to the tangent line of y= х-3 at the point (2, –2) ? y…

A: We have to solve

Q: Consider the curve 6+2xy + y³ = 4 The equation of the tangent line to the curve at the point (1, 1)…

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Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

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Q: Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

A: Given that,, Here, differentiate w.r.t. ,we get, We know that, To find: equation of the line…

Q: 5. Find the equation of the line (in Cartesian coordinates) tangent to r = 1– sine at the point (5).

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Q: Consider the curve y = -sin x. Note that there are many tangent lines on this curve that also pass…

A: Step 01:           Given:        blue line is: f(x) = -sin(x)        red line is : g(x) = mx   We…

Q: View Prev The equation of the tangent line to the curve at the given point. x² + y2 +3 = (2x²+2y² –…

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