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Find the tangent line to the graph of f(x) = sinx + cosx at
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# Question : Find the tangent line to the graph of f(x) = sinx + cosx at : 2163390

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

37) Find the tangent line to the graph of f(x) = sinx + cosx at (π, -1).

A) y = -x + 1

B) y = x + π

C) y = π

D) y = -x + π -1

E) none of these

38) Find the tangent line to the graph of f(x) = (1 + sinx)3 at ((π/2), 8).

A) y = 8

B) y = -8

C) y = (π/2)x - 8

D) y = x - 8

E) none of these

39) Find the slope of the line tangent to the graph of y = sin((π/2) - x) - cosx at x = (π/4).

A) (√(2)/2)

B) √(2)

C) 0

D) (1/2)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

40) Find the equation of the tangent line tangent to the graph of y = cos3x + 2sinx at x = (π/2).

41) Find the slope of the line tangent to the graph of y = sin2t at t = (π/3).

Enter just an integer.

42) Find the slope of the line tangent to the graph of y = cos24t at t = (π/3).

Enter just a√(B) .

43) Find the slope of the tangent line to the graph of y = e3xcosx3 at the origin.

Enter just an integer.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the slope of the line tangent to the curve at the given point.

44) y = 9sinx; x = (π/3)

A) (9√(3)/2)

B) (1/2)

C) - (9/2)

D) (9/2)

45) y = 3cosx; x = (π/4)

A) (3√(2)/2)

B) - (3/2)

C) (3√(3)/2)

D) - (3√(2)/2)

46) y = 9sinx; x = (π/2)

A) 9

B) (9/2)

C) 0

D) -9

Find the indefinite integral.

47) ∫(3sin4xdx)

A) 3cos4x + C

B) - (3/4)cos4x + C

C) - 12cos4x + C

D) (3/4)cos4x + C

48) ∫((-6sint + cos4t) dt)

A) 6cost - (1/4)sin4t + C

B) 6cost + 4sin4t + C

C) 6cost + (1/4)sin4t + C

D) -6cost - 4sin4t + C

49) ∫(sin2t dt)

A) - (1/2)cost + C

B) - cost + C

C) - (1/2)cos2t + C

D) -2cos2t + C

50) ∫(3sin(t - π) dt)

A) -3cost + C

B) -3cos(t - π) + C

C) 3πcos(t - π) + C

D) 3cos(t - π) + C

E) none of these

51) ∫(cos(2x + 1))dx

A) (1/2)sin(2x + 1) + C

B) sin(2x + 1) + C

C) - cos(2x + 1) + C

D) 2cos(2x + 1) + C

E) none of these

52) ∫(cos(π - 3x))dx

A) (1/3)sin(π - 3x) + C

B) - sin(π - 3x) + C

C) - (1/3)sin(π - 3x) + C

D) 3cos(π- 3x) + C

E) none of these

53) ∫((sinx + cosx)dx)

A) 2sinx + C

B) 2cosx + C

C) cosx - sinx + C

D) sinx - cosx + C

E) none of these

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

54) ∫(cos7xdx)