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Name Please submit your Homework 7 assignment here as a Word or PDF attachment. Homework 7 (all problems are in the textbook; last one!): page. 325 # 58, 59, 89, 100, 102 find the derivate of the function: 58) y=ln⁡∛((x-1)/(x+1)) 59) f(x)=ln(√(4+x^2 )/x) Use logarithmic differentiation to find dy/dx. 89) 9=x√(x^2+1,) X>0 Determine weather the statement is true or false. If it is false, explain why or give an example that shows it is false: 100) ln xy=ln⁡〖x 〗 lny(true) Implicit derivatives: (I don’t know if that is correct or not but that is all I got so far) 102) if y=1n ⅇ, then y^’=1.(false) page. 334 # 3, 9, 22, 26, 50, 65 Find the indefinite integral: 3) ∫1/(x+1) ⅆx 9) ∫(4x^3+3)/(x^4+3x) ⅆx 22) ∫1/(x 1n⁡〖x^3 〗 ) ⅆx 26)∫x(x-2)/(x-1)^3 ⅆx ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬evaluate the definite integral. Use a graphing utility to verify your result. 50) ∫_(-1)^1▒〖1/(2x+3) ⅆx〗 ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬find F’(x). 65) F(x)=∫_(-1)^3x▒〖1/t ⅆx〗 page. 352 # 35, 40, 47, 57, 62 find the derivative: 35) y=ⅇ^√x 40) y=xe^4x 47) y=2/(ⅇ^x+ⅇ^(-x) ) Find an equation of the tangent line to the to the graph of the function at the given point: 57) f(x)=ⅇ^(1-x),(1,1) 62) y=xⅇ^x-ⅇ^x,(1,0) page. 362 # 41, 51, 72, 75, 80 find the derivative of the function. (hint: in dome exercises, you may find it helpful to apply logarithmic properties before differentiating.): 41) f(x)=x9^x 51) y=log_5 √(x^2-1) Find the indefinite integral: 72) ∫8^(-x) ⅆx 75) ∫x(5^(-x^2 ) )ⅆx Evaluate the definite integral. 80) ∫_(-4)^4▒〖3^(x/4) ⅆx〗 Find the equation of the tangent line at t=3 if f(t)=7+2(5^t ). Determine ∫ⅇ^7t ⅆt Determine ∫2sin⁡(t)ⅆt Determine ∫〖5sec〗^2⁡(7t)+8t^2 ⅆt Determine ∫4^t 1n(4)ⅆt

Name

Please submit your Homework 7 assignment here as a Word or PDF attachment.

Homework 7 (all problems are in the textbook; last one!):

 

page. 325 # 58, 59, 89, 100, 102

find the derivate of the function:

58)

 

59)

 

Use logarithmic differentiation to find dy/dx.

89)

 

Determine weather the statement is true or false. If it is false, explain why or give an example that shows it is false:

100) (true)

Implicit derivatives:

(I don’t know if that is correct or not but that is all I got so far)

 

102) (false)

 

page. 334 # 3, 9, 22, 26, 50, 65

Find the indefinite integral:

3)

9)

22)

26)

 

­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­evaluate the definite integral. Use a graphing utility to verify your result.

50)

 

­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­find F’(x).

65)

 

page. 352 # 35, 40, 47, 57, 62

find the derivative:

35)

40)

47)

 

Find an equation of the tangent line to the to the graph of the function at the given point:

57)

62)

 

page. 362 # 41, 51, 72, 75, 80

find the derivative of the function. (hint: in dome exercises, you may find it helpful to apply logarithmic properties before differentiating.):

41)

51)

 

Find the indefinite integral:

72)

75)

 

Evaluate the definite integral.

80)

 

Find the equation of the tangent line at

 

 

Determine

 

Determine

 

Determine

 

Determine

 

 

 

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