H. Grven F(xy,2) = 9x²+y² +%Ž-37 . Frind the equation of the tangent plane and ormal line to the curve FGGY, z) at The pt. G2,-½;0).

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 the inflection point of the curve f(x)=2x³ – 18x²+ 30x. О а.3 O b. 3/2 С. 9 O d. None

A: We have to find out point of inflection

Q: The parabola y = x2 + C is to be tangent to the line y = x. Find C.

A: To find the value of C.

Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

A:

Q: 2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

A: Here we will find the distance between the given point and line,

Q: At which point/s does the graph of y = r+9 have a horizontal tangent line? Write the point/s in the…

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Q: Consider the curve y = x² + 3x + 5. Find the slope of the secant line at the point where x = 9. Oh…

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Q: Using appropriate rule, find the derivative of y 9r+3 3z2+5z+9 Answer:

A:

Q: 7. For whit value of b will the line y =- y 3x +4x -1? 2x+ b be tangent to the parabola

A:

Q: Determine slope of a curve y = x³3 + 1 at x = 1

A:

Q: Find the equation of the vertical lines that meet the curves y = x³ + 2x² - 4x +5 and 3y = 2x³…

A: