1. Cal 1

    Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) (1 + 2x)^1/4 ≈ 1 + 1/2x

    asked by Dee on March 7, 2013
  2. calculus

    Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is

    asked by kwack on September 7, 2010
  3. Linear Approximation

    Use linear approximation, i.e. the tangent line, to approximate 1/0.104 as follows: Let f(x)=1/x and find the equation of the tangent line to f(x) at a "nice" point near 0.104 . Then use this to approximate 1/0.104 . L(x)=f(a)+f'(a)(x-a)...i think. You're

    asked by Jojo on October 14, 2006
  4. Math

    Use Newton's method to approximate a root of the equation 5sin(x)=x as follows. Let x1=2 be the initial approximation. The second approximation x2 is: and the third approximation x3 is:

    asked by Blair on July 19, 2008
  5. Calculus

    9. Find the linear approximation of the function f(x,y) = √1+ x^2+ y^2 at the point (x,y,z) = (2, -2, 3).

    asked by Anonymous on June 23, 2020
  6. Math - Linear Approximation

    Use a linear approximation to estimate the number (27.07)^(2/3)

    asked by Anonymous on February 28, 2017
  7. Calculus

    If the local linear approximation of f(x)=4x+e^2x at x=1 is used to find the approximation for f(1.1), then the % error of this approximation is Between 0% and 4% Between 5% and 10% Between 11% and 15% Greater than 15%

    asked by Pleaseee on December 26, 2018
  8. Calculus

    Use a linear approximation (or differentials) to estimate the given number. (32.06)^4/5

    asked by Amy on November 18, 2010
  9. linear approximation

    Approximate cos (2π/13) by using a linear approximation with f (x) =cos x. cos (2π/13)≈ f(a) + f ' (a)·h = c, what is h, a, and c? I'm having problems with this one please help

    asked by chan on March 2, 2017
  10. calculus

    Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answer to two decimal places.) tan x ≈ x

    asked by jedidiah on October 10, 2014
  11. calculus

    Use a linear approximation (or differentials) to estimate the given number. e0.01

    asked by kela on November 9, 2012
  12. Calculus

    Use the Linear Approximation to estimate ∆f=f(3.5)−f(3) for f(x)=2/(1+x^(2))? Δf ≈ Estimate the actual change. (Use decimal notation. Give your answer to five decimal places.) Δf= Compute the error and the percentage error in the Linear

    asked by saud on October 30, 2011
  13. Calculus

    The linear approximation at x = 0 to sin (5 x) is A + B x. Find A and B?

    asked by Salman on November 7, 2009
  14. calculus

    Use the linear approximation (1+x)^k=1+kx to find an approximation for the function f(x)=1/square root of (4+x) for values of x near zero.

    asked by Anonymous on March 6, 2008
  15. CALCULUS

    If the local linear approximation of f(x) = 3sin x + e3x at x = 2 is used to find the approximation for f(1.9), then the % error of this approximation is

    asked by KRISTAL on March 17, 2015
  16. Practice Exam Calculus

    The radius of a sphere was measured to be 20cm with a a possible error of 1/5cm 1).Use linear approximation to estimate the maximum error in the calculated surface area. Leave your answer in terms of pi. 2).Use linear approximation to estimate the maximum

    asked by Molly on October 15, 2013
  17. Calculus

    Use a linear approximation to estimate (8.2)^(2/3)

    asked by Ben on January 19, 2015
  18. calculus

    The linear approximation at x = 0 to f(x) = \sin (5 x) is y =

    asked by Alessandra Romano on October 31, 2014
  19. math

    Which of the following is the best linear approximation for f(x) = sin(x) near x = π seconds?

    asked by Anonymous on November 26, 2016
  20. Math

    Use linear approximation, i.e. the tangent line, to approximate sqrt[3] { 8.4 } as follows: Let f(x) = sqrt[3] x. The equation of the tangent line to f(x) at x = 8 can be written as y=mx+c where m=1/12 b=4/3 find the approximation for sqrt[3] {8.4}

    asked by Ben on November 8, 2009
  21. Calculus

    Which of the following is the best linear approximation for f(x)=cos(x) near x= π/2 ? a) y= x - π/2 b) y= -x + π/2 c) y= -x + π/2 + 1 d) y= x - π/2 +1

    asked by Alice on December 20, 2018
  22. Calc....

    Verify the given linear approximation at a = 0.Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) ln(1 + x) ¡Ö x

    asked by fatih on March 13, 2012
  23. Help please ???

    Verify the given linear approximation at a = 0.Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) (1+2x)^(1/4)¡Ö 1 +(1/2)x

    asked by Jessica on March 13, 2012
  24. Calculus Help Please!!!

    Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) ln(1 + x) ≈ x xE

    asked by Tim on March 30, 2014
  25. Calculus

    a.) Given that f(3)=5 and f'(x)=x/((x^3)+3), find the linear approximation of f(x) at x=3. b.)If the linear approximation is used to estimate the value of f(2.9), will it be an overestimation or underestimation? Show justification

    asked by Devin on March 16, 2012
  26. Calculus Help Please!!!

    Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) fourth root of (1 + 2x)≈

    asked by JYoung on March 30, 2014
  27. calculus

    If the local linear approximation of f(x) = 2cos x + e2x at x = 2 is used to find the approximation for f(2.1), then the % error of this approximation is... greater than 15% between 11% and 15% between 5% and 10% between 0% and 4%

    asked by Anonymous on December 8, 2016
  28. Math

    Use the linear approximation (1+x)^k=1+kx to find an approximation for the function (3+3x)^(1/3) for values of x near zero. Help would be greatly appreciated!

    asked by Cory on October 3, 2013
  29. Calculus

    Use linear approximation, i.e. the tangent line, to approximate 8.4^(1/3) as follows: Let f(x)= x^(1/3) . The equation of the tangent line to f(x) at x=8 can be written in the form y=mx+c where m=1/12 and c=4/3: Using this, find our approximation for

    asked by Salman on November 15, 2009
  30. calculus

    Consider the equation x^5-cos(pi x)=0 . We can use the Intermediate Value Theorem to prove that the given equation has a root between 0 and 1. Answer the following questions. 1.show equation can’t have two real roots between 0 and 1. 2.Use Newton's

    asked by Please help me on May 8, 2020
  31. calculus

    The radius of a sphere was measured to be cm with a possible error of cm. Use linear approximation to estimate the maximum error in the calculated surface area. Leave your answer in terms of . Use linear approximation to estimate the maximum error in the

    asked by higuys on February 27, 2012
  32. Calculus

    Use linear approximation, i.e. the tangent line, to approximate \sqrt[3] { 7.9 } as follows: The equation of the tangent line to f(x) at x = 8 can be written in the form y = Using this, we find our approximation for \sqrt[3] {7.9} is

    asked by Ashley on October 21, 2014
  33. calculus

    Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is for x2 I got -1.454 which is right but I can't get x3

    asked by HELLLLLPPPPP on September 8, 2010
  34. calculus

    The linear approximation at x=0 to f(x)= sqrt (7+6x) is y=

    asked by jenny on November 5, 2009
  35. calculus

    Find the local linear approximation of f(x) = e^(3x) at x = 1. y = e^3 y = e^(3(x − 1)) y = 3e^(3)(x − 1) y = 3e^(3)x − 2e^3

    asked by Anonymous on December 8, 2016
  36. Calculus

    Find the local linear approximation of f(x) = e^(3x) at x = 1. a) y = e^3 b) y = e^(3(x − 1)) c) y = 3e^(3)(x − 1) d) y = 3e^(3)x − 2e^3 What is the answer: a,,b,c, d????

    asked by ALICE PLEASEEE on December 19, 2018
  37. math

    Use a linear approximation (or differentials) to estimate the given number. e^-0.01

    asked by jj on November 17, 2010
  38. AP Calculus

    Use differentials (or a linear approximation) to estimate (2.001)^5

    asked by cel on November 16, 2010
  39. calculus

    se differential, i.e., linear approximation, to approximate (8.4)^(1/3) as follows: Let f(x)=(x )^(1/3). The linear approximation to f(x) at x=8 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for

    asked by jin on August 28, 2010
  40. Calculus

    Which of the following is the best linear approximation for f(x)=cos(x) near x= π/2 ? a) y= x - π/2 b) y= -x + π/2 c) y= -x + π/2 + 1 d) y= x - π/2 +1

    asked by Alice on December 20, 2018
  41. Homework Help Calculus

    Find the linear approximation L(x)of the function f(x)=cos(pi/(6)x) at the point x=1 and use it to estimate the value of cos(13pi/72). Here's what I did so far: L(x)=sqrt(3)/2-1/12pi(x-1)+0((x-1)^2) How do I find cos(13pi/72)

    asked by Amy on October 16, 2013
  42. math

    Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.)

    asked by brian on October 20, 2013
  43. math

    Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) 1/(1 + 2x)^5 ≈ 1 − 10x

    asked by jedidiah on October 10, 2014
  44. Math

    a.) Given that f(3)=5 and f'(x)=x/((x^3)+3), find the linear approximation of f(x) at x=3. b.)If the linear approximation is used to estimate the value of f(2.9), will it be an overestimation or underestimation? Show justification.

    asked by Devin on March 16, 2012
  45. Math

    Use differential, (i.e. linear approximation), to approximate cube root of 64.1 as follows: Let f(x) = cube root of x. The linear approximation to f(x) at x = 64 can be written in the form y = mx+b. Compute m and b and find cube root of 64.2 via linear

    asked by Anonymous on December 19, 2014
  46. math

    Suppose f(x)=ln x. (a) Find the linear approximation of f at a=1. L(x)= (b) Use the linear approximation to estimate ln 1.27. ln1.27=

    asked by John on October 24, 2015
  47. Cal 1

    Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answer to two decimal places.) tan x ≈ x

    asked by Dee on March 7, 2013
  48. calculus

    I need help on finding the local linear approximation of tan 62 degree. i got 1.77859292096 can someone check if i got it right? tan(60+2) = (tan 60+ tan 2) / (1- tan60 tan 2) But tan2 appx = sin 2deg = sin2PI/180= 2PI/180 tan 62=(tan 60+2PI/180) / (1-

    asked by jimmy on March 20, 2007
  49. Calculus

    use tangent line approximation (linear approximation) to estimate The cube root of 1234 to 3 decimal places. Hint: the equation should be y=f'(x0)(x-x0)+f(x0) 11^3=1331 can be easily computed using binomial theorem. I used linear approximation and got

    asked by Henry on November 4, 2015
  50. Math

    Use differential, i.e., linear approximation, to approximate (125.4^(1/3)) as follows: Let f(x)=x^(1/3) . The linear approximation to f(x) at x=125 can be written in the form y=mx+b where m is: m=1/75 b=? How do I find b?

    asked by Blair on July 19, 2008
  51. Calculus 1A

    The problem is: Verify the given linear approximation at a=0. Then determine the values of x for which the linear approximation in accurate to within 0.1. LN(1+x) ≈ x I found f(0) = 0 and f'(0) = 1 I have an equation: LN (1+x) -(.1) < x < LN(1+x) + 1 The

    asked by Mary on April 16, 2013
  52. Calculus Help Please!!!

    Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) ln(1 + x) ≈ x Y1= I

    asked by Tanya on April 4, 2014
  53. Calculus 1A

    I am so confused! The problem is: Verify the given linear approximation at a=0. Then determine the values of x for which the linear approximation in accurate to within 0.1. LN(1+x) ≈ x I found f(0) = 0 and f'(0) = 1 I have an equation: LN (1+x) -(.1) < x

    asked by Mary on April 15, 2013
  54. Calculus

    Estimate delta f using the Linear Approximation and use a calculator to compute the error. f(x)=sqrt(3+x). a=6. delta x=0.1. delta f= With these calculations, we have determined that the square root of ___________ is approximately _______ The error in

    asked by Reonea on October 30, 2011
  55. linear approximation

    a) Find the linear approximation of the function f(x)=4cos(3x^2) near x = 0 b) Use the approximation found in part (a) to estimate the value of f(pi/20)

    asked by Peter on December 7, 2014
  56. Calculus

    Suppose that you can calculate the derivative of a function using the formula f(x) = 2f(x) + 4x. If the output value of the function at x=4 is 3 estimate the value of the function at 4.012. Linear Approximation right? I'm not seeing an f'(x) anywhere. Can

    asked by Michael on October 14, 2006
  57. Calculus(Urgent help)

    f(x)=x^3-3x^2+3x+1 near 2 (at a=2) A. Use Linear approximation to approximate. b.is this underestimate or overestimate? Justify answer. C.Approximate f(2.25) using the linear approximation and compare the answer with the exact value. Thanks.

    asked by Ren on November 7, 2012
  58. Calculus

    Use the linear approximation (1+x)^k\approx 1+kx to find an approximation for the function f(x) for values of x near zero. I need help for (3+3x)^(1/3). Please help me!

    asked by Alex on October 3, 2013
  59. Math

    Use a linear approximation for sin to find an approximation (this will not be linear) to the function sin(𝑥3) near 𝑥=0 .

    asked by Person on September 26, 2019
  60. Calculus

    Use a linear approximation for sin to find an approximation (this will not be linear) to the function sin(𝑥^3) near 𝑥=0 .

    asked by Robert on September 26, 2019
  61. Calculus

    Estimate delta f using linear approximation F(x) = x^ (1/3)e^(x-1), a=1, delta x = 0.4 linear approximation for delta f = Error is = Percentage error is = please explain tburoughly

    asked by Narimen on October 31, 2011
  62. math- Trigonometry

    If cos degree equals to 0.8641 What is Sin degree? I have no idea how to find this. Please help me. I got help from two people, but I'm not getting the answer and how they got the numbers either. Someone says: cos^2+sin^2=1 sinDegree=sqrt(1-cos^2degree)

    asked by Simran on November 5, 2016
  63. Calculus

    Estimate delta(x) using the Linear Approximation and use a calculator to compute both the error and the percentage error. f(x)=cosx a=(pi/4) delta(x)=.06 delta(x)= ______ i got this part and it's -.04242 The error in Linear Approximation is: and The error

    asked by Anonymous on October 13, 2007
  64. Math

    Use linear approximation, i.e. the tangent line, to approximate 1.6^3 as follows: Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 2 can be written as y=12x-16 Using this, we find our approximation for 1.6 ^3 is ???????

    asked by Salman on November 7, 2009
  65. Calculus

    Use linear approximation, i.e. the tangent line, to approximate 8.4^(1/3) as follows: Let f(x)= x^(1/3) . The equation of the tangent line to f(x) at x=8 can be written in the form y=mx+c where m=1/12 and c=4/3: Using this, find our approximation for

    asked by Ben on November 15, 2009
  66. calc

    Consider a function f : {R}^2 \to {R}^2 for which f(4, -4) = (3, 3) and f{D}f(4, -4) = (5 4) (-3 0)

    asked by John on April 11, 2010
  67. Calculus

    Measurements of a lake’s width were taken at 15-foot intervals, as shown: x= 0 15 30 45 60 75 90 105 120 f(x)= 0 15 18 20 19 23 24 22 12 Estimate integral (0,120) f(x) dx with n = 4, using the left-hand approximation, the right hand approximation, and

    asked by Michael on December 12, 2017
  68. Calculus

    What is the linear approximation to ln((1+𝑎𝑥)^𝑟) at 𝑥=0 ?

    asked by Person on September 26, 2019
  69. calculus

    what is the linear approximation of f(x)=x^3-x at x=2

    asked by jess on April 19, 2012
  70. Chemistry

    Which of the following molecules are linear? BF3 HN3 COS NH3 O3 SiF4 AsH3 SO2 C2H2 PF3 CF4 H2O SO3 HCN N2O H2S CS2 After drawing out all the lewis structures, and using VSPER theory, I found: COS, C2H2, CS2, HCN to be linear. Am I right/missing any?

    asked by Jon on December 6, 2010
  71. Calculus

    Use Newton's method to approximate a root of the equation (2 x^3 + 4 x + 4 =0) as follows. Let (x_1 = -1\) be the initial approximation. The second approximation (x_2) is ? and the third approximation (x_3) is ?

    asked by Salman on November 11, 2009
  72. calculus

    Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is I got x2=-1.454 but can't get x3 :(

    asked by HELLLLLPPPPPPP on September 8, 2010
  73. calculus

    use a linear approximation to estimate (8.2)^(2/3)

    asked by Roger on January 19, 2015
  74. Calculus

    Using an appropriate linear approximation approximate 26.9^(4/3).

    asked by Alex on October 31, 2014
  75. calculus

    The linear approximation at x = 0 to f(x) = \sqrt { 5 + 4 x } is y =

    asked by Alessandra Romano on October 31, 2014
  76. Math Calc

    Find the linear approximation of f(x)=ln x at x=1 where L(x)=

    asked by Manny on March 27, 2009
  77. Calculus

    Use linear approximation to approximate f(0.8) given f(x)=2x^3-3x+1

    asked by Anonymous on December 14, 2014
  78. Calc

    The linear approximation at x = 0 to f(x) = \sqrt { 3 + 3 x } is y = Please Help!

    asked by Anonymous on August 5, 2013
  79. Calculus

    The linear approximation to (1/sqrt(9-x)) at x=0. What is y?

    asked by Nate on October 10, 2013
  80. Calculus

    The linear approximation to 1/sqrt(3-x) at x=0 is y=

    asked by That Guy on October 6, 2012
  81. math

    The linear approximation at x = 0 to sin(8x) is L(x) = A+Bx where A = B=

    asked by bobby on March 28, 2012
  82. Calculus

    Calculate the approximation. L4, f(x)=cos^2 x , [pi/6, pi/2]

    asked by Anonymous on October 4, 2015
  83. Calculus

    Find the linear approximation L(x) of ln(x) at the point a = 12.

    asked by Tyler on June 25, 2013
  84. Linearization

    Find the linear approximation of the function f(x) = √16-x at a = 0

    asked by Michael on November 11, 2010
  85. Calculus

    Find the linear approximation L(x) of ln(x)at the point a = 12.

    asked by Tyler on June 20, 2013
  86. Calculus

    Use linear approximation to approximate f(0.8) given f(x)=2x^3-3x+1 I'm not sure how to do it without a point given.

    asked by Anonymous on December 15, 2014
  87. Calculus

    Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate \ln 1.47.

    asked by Anonymous on August 5, 2013
  88. Calculus

    Using a linear approximation or differentials, approximate:(26.98)^(3/4) thank you for your help!

    asked by Emma on March 13, 2016
  89. calculus1

    find the linear approximation to f(x)=1/square root of(x^3+1) at a=2

    asked by john on December 24, 2017
  90. calculus

    Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate ln 1.12. L(x)= . ? ln 1.12 \approx ?

    asked by Alessandra Romano on October 31, 2014
  91. FURTHER MATHS

    STATE THE LINEAR APPROXIMATION FOR: (2.04)raise to power 5

    asked by FLORENCE on January 31, 2013
  92. Math

    Find the linear approximation of f(x)=ln x at x=1 and use it to estimate ln 1.12. L(x)= ? ln 1.12 \approx ?

    asked by Joseph on November 1, 2014
  93. Calculus

    consider the following function: f(x)=sqrt(50-x) find the linear approximation of f(x) at a=1

    asked by kenny on November 13, 2008
  94. Calculus

    Let f(x)=sqrt(x+2) and use the Linear Approximation to this function at a=14 with Δx=0.3 to estimate f(14.3)−f(14)=Δf≈df=

    asked by Isabella on November 5, 2017
  95. calculus

    consider the following function: f(x)=sqrt(50-x) find the linear approximation of f(x) at a=1

    asked by luke on November 13, 2008
  96. Calculus

    f(x) = sqrt(x+1) a=3 change of x =.8 to estimate f(3.8)-f(3) use linear approximation

    asked by the dude on November 2, 2017
  97. Calculus

    Find the linear approximation of 𝑓(𝑥)=√(𝑎+𝑏𝑥) at 𝑥=0 . (Here 𝑎 and 𝑏 are constants; assume 𝑎>0 .)

    asked by Brett on September 15, 2019
  98. MATH: Need help please

    Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate ln 1.12. L(x)= . ln 1.12 approx

    asked by Anonymous on November 1, 2014
  99. Calculus

    Linear Approximation Function is y=x2 . Take three points, x=2, x=3, x=4. Approximate this function at these three points for a deviation Δx =0.1. Which of the three points does the approximation works best? Which point does it works worst?

    asked by Fred on April 4, 2016
  100. BC Calculus

    Use linear approximation to estimate sec^2(pi/4 + .025) Need help quickly please!! :)

    asked by Jake on October 24, 2012