x
Info
x
Warning
x
Danger
 / 
 / 
 / 
Find dy/dx by implicit differentiation. 21) xy + x = 2

Question : Find dy/dx by implicit differentiation. 21) xy + x = 2 : 2151734

Find dy/dx by implicit differentiation.

21) xy + x = 2

A) - (1 + y/x)

B) (1 + x/y)

C) (1 + y/x)

D) - (1 + x/y)

22) xy + x + y = x2y2

A) (2xy2 - y - 1/-2x2y + x + 1)

B) (2xy2 - y/2x2y + x)

C) (2xy2 + y/2x2y - x)

D) (2xy2 + y + 1/-2x2y - x - 1)

23) y3ex + x = y6x

A) (dy/dx) = (y6 - y3ex - 1/3y2ex - 6xy5 - 1)

B) (dy/dx) = (y6 - y3ex - 1/3y2ex - 6xy5)

C) (dy/dx) = (y6 - 1/3y2ex - 6xy5)

D) (dy/dx) = (y6 - 1/3y2ex - 6xy5 + 1)

24) xlny + y = x5y4

A) (dy/dx) = (5x4y5 -lny/x - 4x5y4 + 1)

B) (dy/dx) = (5x4y5 - ylny - 1/x - 4x5y4 + y)

C) (dy/dx) = (5x4y4 -lny/x - 4x5y4 + y)

D) (dy/dx) = (5x4y5 - ylny/x - 4x5y4 + y)

Find the equation of the tangent line at the given point on the curve.

25) x2 + y2 + 2y = 0; (0, -2)

A) x = 0

B) y = -x

C) y = -x - 2

D) y = -2

26) 3x2 + 4xy + y2 + x - 2y = -7; (-1, 3)

A) x = -1

B) y = 3

C) y = -x + 3

D) y = -x - 1

27) x2 + y2 = 25; (-4, 3)

A) y = - (4/3)x - (25/3)

B) y = (4/3)x - (25/3)

C) y = - (4/3)x + (25/3)

D) y = (4/3)x + (25/3)

28) xy2 = 12; (3, -2)

A) y = - (1/3)x + 3

B) y = (1/3)x + 3

C) y = - (1/3)x - 3

D) y = (1/3)x - 3

29) 2xy - 2x + y = -14; (2, -2)

A) y = (5/6)x - (22/6)

B) y = - (5/6)x + (22/6)

C) y = (6/5)x - (22/5)

D) y = - (6/5)x + (22/5)

30) x2 + 3y2 = 13; (1, 2)

A) y = - (1/6)x + (13/6)

B) y = (1/3)x + (5/3)

C) y = - (1/3)x + (7/3)

D) y = (1/6)x + (11/6)

31) xy2 = 4; (4, 1)

A) y = - (1/8)x + (3/2)

B) y = -8x + 33

C) y = - (1/2)x + 3

D) y = -2x + 9

32) 2xy - y2 = 1; (1, 1)

A) y = -x + 1

B) y = x - 1

C) x = 1

D) y = 1

33) y√(x + 1) = 4; (3, 2)

A) y = (1/2)x + (1/2)

B) 2y = - (1/2)x + (7/2)

C) y = - (1/4)x + (11/4)

D) y = (1/4)x + (5/4)

34) xy + x = 2; (1, 1)

A) y = - (1/2)x + (3/2)

B) y = 2x - 1

C) y = (1/2)x + (1/2)

D) y = -2x + 3

Find the equation of the tangent line at the given value of x on the curve.

35) 3x2 + 4xy + y2 + x - 2y = -7, x = -1

A) y = -x - 1

B) x = -1

C) y = 3

D) y = -x + 3

36) 2xy - 2x + y = -14, x = 2

A) y = (5/6)x - (22/6)

B) y = (6/5)x - (22/5)

C) y = - (5/6)x + (22/6)

D) y = - (6/5)x + (22/5)

37) 2xy - y2 = 1, x = 1

A) y = x - 1

B) y = -x + 1

C) y = 1

D) x = 1

38) y√(x + 1) = 4, x = 3

A) y = (1/4)x + (5/4)

B) 2y = - (1/2)x + (7/2)

C) y = - (1/4)x + (11/4)

D) 2y = (1/2)x + (1/2)

39) xy + x = 2, x = 1

A) y = -2x + 3

B) y = (1/2)x + (1/2)

C) y = 2x - 1

D) y = - (1/2)x + (3/2)

40) y3 + 2xy2 + 3 = 4y2 + x, x = 2

A) y = (1/5)x - (7/5)

B) y = (1/3)x - (5/3)

C) y = - (1/3)x - (1/3)

D) y = - (1/3)x + (5/3)

41) (y/4)(1 - x) + x√(y) + 2x = 5, x = 1

A) y = - (11/6)x + (65/6)

B) y = (33/2)x - 9

C) y = - (33/8)x + (105/8)

D) y = - (33/2)x + (51/2)

Solve the problem.

42) The demand equation for a certain product is 8p2 + q2 = 1000, where p is the price per unit in dollars and q is the number of units demanded. Find dq/dp.

A) dq/dp = -8p/q

B) dq/dp = -q/8p

C) dq/dp = -8q/p

D) dq/dp = -p/8q

43) The demand equation for a certain product is 9p2 + q2 = 1800, where p is the price per unit in dollars and q is the number of units demanded. Find dp/dq.

A) dp/dq = -9p/q

B) dp/dq = -p/9q

C) dp/dq = -q/9p

D) dp/dq = -9q/p

44) The correlation between respiratory rate and body mass in the first three years of life can be expressed by the function

logR(w) = 1.74 - 0.41 log(w),

where w is the body weight (in kg) and R(w) is the respiratory rate (in breaths per minute). Find R'(w) using implicit differentiation.

A) R'(w) = -22.53w-0.59

B) R'(w) = 54.95w-1.41

C) R'(w) = -22.53w-1.41

D) R'(w) = -22.53w-0.41

45) The position of a particle at time t is given by s, where s3 + 7st + 4t3 - 4t = 0. Find the velocity ds/dt.

A) ds/dt = (4 + 7s - 12t2/3s2 - 7t)

B) ds/dt = (4 - 7s - 12t2/3s2 - 7t)

C) ds/dt = (4 - 7s - 12t2/3s2 + 7t)

D) ds/dt = (4 + 7s - 12t2/3s2 + 7t)

Solution
5 (1 Ratings )

Solved
Calculus 1 Month Ago 22 Views
This Question has Been Answered!

Related Answers
Unlimited Access Free
Explore More than 2 Million+
  • Textbook Solutions
  • Flashcards
  • Homework Answers
  • Documents
Signup for Instant Access!
Ask an Expert
Our Experts can answer your tough homework and study questions
4552 Calculus Questions Answered!
Post a Question