हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

Choose the correct alternative: Linear approximation for g(x) = cos x at x = π2 is - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

Linear approximation for g(x) = cos x at x = `pi/2` is

विकल्प

  • `x + pi/2`

  • `- x + pi/2`

  • `x - pi/2`

  • `- x - pi/2`

MCQ
Advertisements

उत्तर

`- x + pi/2`

shaalaa.com
Linear Approximation and Differentials
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Differentials and Partial Derivatives - Exercise 8.8 [पृष्ठ ८८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 8 Differentials and Partial Derivatives
Exercise 8.8 | Q 13 | पृष्ठ ८८

संबंधित प्रश्न

Use the linear approximation to find approximate values of `(123)^(2/3)`


Use the linear approximation to find approximate values of `root(3)(26)`


Find a linear approximation for the following functions at the indicated points.

f(x) = x3 – 5x + 12, x0 = 2


Find a linear approximation for the following functions at the indicated points.

g(x) = `sqrt(x^2 + 9)`,  x0 = – 4


The radius of a circular plate is measured as 12.65 cm instead of the actual length 12.5 cm. find the following in calculating the area of the circular plate:

Absolute error


The radius of a circular plate is measured as 12.65 cm instead of the actual length 12.5 cm. find the following in calculating the area of the circular plate:

Relative error


A sphere is made of ice having radius 10 cm. Its radius decreases from 10 cm to 9.8 cm. Find approximations for the following:

Change in the volume


Find the differential dy for the following functions:

y = `(1 - 2x)^3/(3 - 4x)`


Find the differential dy for the following functions:

y = `(3 + sin(2x))^(2/3)`


Find the differential dy for the following functions:

y = `"e"^(x^2 - 5x + 7) cos(x^2 - 1)`


The trunk of a tree has a diameter of 30 cm. During the following year, the circumference grew 6 cm. Approximately how much did the tree diameter grow?


Assume that the cross-section of the artery of human is circular. A drug is given to a patient to dilate his arteries. If the radius of an artery is increased from 2 mm to 2.1 mm, how much is cross-sectional area increased approximately?


In a newly developed city, it is estimated that the voting population (in thousands) will increase according to V(t) = 30 + 12t2 – t3, 0 ≤ t ≤ 8 where t is the time in years. Find the approximate change in voters for the time change from 4 to `4 1/6` years


The relation between the number of words y a person learns in x hours is given by y = `sqrt(x), 0 ≤ x ≤ 9`. What is the approximate number of words learned when x changes from 1 to 1.1 hours?


Choose the correct alternative:

A circular template has a radius of 10 cm. The measurement of the radius has an approximate error of 0.02 cm. Then the percentage error in the calculating the area of this template is


Choose the correct alternative:

If u(x, y) = `"e"^(x^2 + y^2)`, then `(delu)/(delx)` is equal to


Choose the correct alternative:

The approximate change in volume V of a cube of side x meters caused by increasing the side by 1% is


Choose the correct alternative:

If f(x) = `x/(x + 1)`, then its differential is given by


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×