# 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

10,163 results
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%

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 { 8.4 } as follows: Let f(x) = sqrt 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 {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

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

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

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

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 { 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 {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????

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

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