Problem 3. Find the equation of the tangent plane to the graph of z = 4x³ + 3y² at the point above (x, y) = (1,2). A. z = 4x + 3y - 20 B. z = 4x + 3y + 16 C. z = 12x+12y + 16 D. z = 12x+12y - 20 E. z = 16

Q: Find the tangent to the parabola (x + 2y)² + 2x - y - 3 = 0, parallel to the line x - y = 1.

A: Consider the equation of the line x-y=1 ⇒y=x -1 Comparing with y=mx+c we get slope of line, m=1

Q: Find an equation for the tangent line to the parabola 5r² - 2r at the point P(1, y(1)). 1 y = 8r-5 2…

A:

Q: 19. Which of the following illustrative equations will give a slope 10 of the tangent line to its…

A: A)y=2x2-2x at (2,3)Differentiate…

Q: points

A:

Q: Verify that (2,3) is on the curve x²+xy-y²=1 and a. find the line that is tangent to the curve at…

A: Given curve, x^2+xy-y^2=1

Q: IF THE CURVE OF THE FUNCTION F (X) = Y PASSES THROUGH THE TWO POINTS (2,2) AND (1, K) AND SATISFIES…

A: We have to solve given problem:

Q: 7) Find an equation of the line tangent to the curve y = x+5 at x = 3. х-1

A:

Q: 6. Verify that the point (1, -2) is on the curve and then determine an equation for the line tangent…

A: Points on the curve

Q: 1 ,-8 5) /17 - V17 1- v17 1- V17 y = 2(x + 2 y = 2x 2 2

A: Given :           The vertex of parabola is V12, -812.  To find the equation of a parabola which…

Q: 3. Find the equation of the tangent line to the parabola 4x² +9y² = 18z, x = 3 at the point (3, 2,…

A:

Q: 2. Find the equation of the line tangent to the graph of y=-³²e²x at x = 2

A:

Q: (2) Find all points on the graph y = x3 - 12x + 9 with horizontal tangents. Find dy d2y and dc d2…

A: Given:

Q: 25. Find the equation of the line tangent to the curve x2 + y2 = 1 through the point (,).

A:

Q: Find a parabola y = ax² + bx+c that passes through the point (2,5) and whose tangent lines at x = 1…

A:

Q: 3. a. C. Find the equation of the tangent to the curve at the given point. 3√x 5x2+1 y² = 2xy - 3,…

A: Note:As per our guidelines we are supposed to answer only  first 3 sub parts if there are multiple…

Q: The points at which the graph of the equation 8x2+ y² – 16x + 8y + 8=0 has horizontal tangent lines…

A: