Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

Using differentials find the approx value Log e 10.02 given that loge 10 = 2.3026
Asked by haroonrashidgkp | 08 Sep, 2018, 04:22: PM
answered-by-expert Expert Answer
f(x) = loge x
a = 10 and h = 0.02
f(a) = f(10) = loge 10 = 2.3026
f'(x) = 1/x 
f'(10) = 1/10
Using approximation
f(10.02) ≈ f(10) + 0.02 f'(10)
             ≈ 2.3026 + 0.02 × 1/10 = 2.3026 + 0.002 = 2.3046
Answered by Sneha shidid | 09 Sep, 2018, 06:28: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
pls provide solution
question image
Asked by saisidh05 | 04 Jul, 2022, 03:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
A ladder 17 metre long is leaning against the wall. The base of the ladder is pulled away from the wall at a rate of 5m/s. When the base of the ladder is 8 metres from the wall, i) How fast is the top of the ladder moving down the wall? ii) At what rate, the area of the triangle formed by the ladder, wall, and the floor, is changing ?
Asked by jeevasankar123456 | 17 Jul, 2020, 05:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Using differentials find the approx value Log e 10.02 given that loge 10 = 2.3026
Asked by haroonrashidgkp | 08 Sep, 2018, 04:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Using differentials find the approx value (27)1/3
Asked by haroonrashidgkp | 08 Sep, 2018, 04:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the value of left parenthesis 244 right parenthesis to the power of bevelled 2 over 5 end exponent approximately using differentials.
Asked by Topperlearning User | 05 Aug, 2014, 12:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
The total revenue obtained by selling x units of a commodity is given by R(x) = 12x2 - 24x +19. Find the marginal revenue when x=17.
Asked by Topperlearning User | 05 Aug, 2014, 12:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the approximate value of f(4.02) where the function is given by f(x)=x3 - 3x2 + x + 2   
Asked by Topperlearning User | 05 Aug, 2014, 12:53: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
A ladder, which is 13 m in length, is resting against a wall.  A man starts pulling the foot of the ladder away from the wall at the rate of 3 m/s.  Find the rate at which the top of the ladder is sliding when the foot of the ladder is 5 m away from the wall.
Asked by Topperlearning User | 05 Aug, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Look at the conical funnel whose vertical angle is 90o. Water is dripping out from it at uniformly at the rate of 8 cm3/sec through a tiny hole at the vertex.  Find the rate at which the slant height of the water is decreasing when the slant height of the water is 4cm. Is leaking of water leads to wastage of water? Do you think we can afford to waste our natural resources?
Asked by Topperlearning User | 05 Aug, 2014, 01:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
A girl whose height is 160 cm is walking with a speed of 4 m/min away from a lamppost, which is 6.4 m high. Now, her shadow is being formed which is increasing as she moves away. Find out the rate at which the shadow is increasing.
Asked by Topperlearning User | 05 Aug, 2014, 01:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×