मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

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

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

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

पर्याय

  • `x + pi/2`

  • `- x + pi/2`

  • `x - pi/2`

  • `- x - pi/2`

MCQ
Advertisements

उत्तर

`- x + pi/2`

shaalaa.com
Linear Approximation and Differentials
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Differentials and Partial Derivatives - Exercise 8.8 [पृष्ठ ८८]

APPEARS IN

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

संबंधित प्रश्‍न

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


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


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 surface area


The time T, taken for a complete oscillation of a single pendulum with length l, is given by the equation T = `2pi sqrt(l/g)` where g is a constant. Find the approximate percentage error in the calculated value of T corresponding to an error of 2 percent in the value of l


Show that the percentage error in the nth root of a number is approximately `1/"n"` times the percentage error in the number


Find df for f(x) = x2 + 3x and evaluate it for x = 3 and dx = 0.02


Assuming log10 e = 0.4343, find an approximate value of Iog10 1003


An egg of a particular bird is very nearly spherical. If the radius to the inside of the shell is 5 mm and the radius to the outside of the shell is 5.3 mm, find the volume of the shell approximately


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 4 to 4.1 hours?


A coat of paint of thickness 0.2 cm is applied to the faces of cube whose edge is 10 cm. Use the differentials to find approximately how many cubic centimeters of paint is used to paint this cube. Also calculate the exact amount of paint used to paint this cube


Choose the correct alternative:

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


Choose the correct alternative:

The change in the surface area S = 6x2 of a cube when the edge length varies from x0 to x0 + dx is


Choose the correct alternative:

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×