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Please help me in my subject Calculus (Tangent lines at normal Curves) Thankyou so much in advance! SHOW YOUR SOLUTION 1. The slope of the

Please help me in my subject Calculus (Tangent lines at normal Curves)

Thankyou so much in advance!

SHOW YOUR SOLUTION

1. The slope of the curve y2 = 5x - 1 at (2,3)

2. Find the y' in the curve y = (1 + 2x)3 at the point (-1, -1)

a. 6

b. -3

c. -6

d. 3

3. Find the equation of the normal line to the curve y = 2 + 4x - x3 at P(-1, -1)

a. x + y - 2 = 0

b. x + y = 0

c. x - y = 0

d. x + y + 2 = 0

4. Find the point of reflection of y = x3 + 6x2 + 9x - 2

a. (3, -6)

b. (-2, -8)

c. (3, -8)

d. (-2, 4)

5. If x - xy + y = 2, find y' at point (2,-1)

a. -1

b. -2

c. 2

d. 1

6. Find Y' in the curve Y = (1 - 2x)3 at the point (1, -1)

a. 3

b. 6

c. -3

d. -6

7. Find the maximum and minimum points of the curve y = x3 + 6x2 + 9x - 2 (maxima and minima)

a. (-3, -2) maximum ; (-1, -6) minimum

b. (-1, -6) maximum ; (-3, -2) minimum

c. (3, -2) maximum ; (1, -6) minimum

d. (1, -6) maximum ; (3, -2) minimum

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