Filters

Home

CBSE

Class 11

Mathematics

Application Of Derivatives

Application Of Derivatives - Mathematics Questions asked by Filo students

Question 1

Q41 (Single Correct) The sum of absolute maximum and absolute minimum values of the function

f (x) = ∣ ∣ 2 x^{2} + 3 x - 2 ∣ ∣ + sin x cos x

in the interval

[0, 1]

is JEE Main 2022 (24 Jun Shift 1) A

3 + \frac{s i n ( 1 ) c o s ^{2} ( \frac{1}{2} )}{2}

3 + \frac{1}{2} (1 + 2 cos (1)) sin (1)

5 + \frac{1}{2} (sin (1) + sin (2))

Check Answer

Topic:

Application of Derivatives

View solution

Question 2

\frac{τ}{2})^{2} = \frac{2}{1 ^{2}} = 2 .

EXERCISE - 7 ing functions : 2.

\frac{5 x ^{4} + 6 x ^{2} - x + 1}{x}

\frac{e ^{x} t a n x + 1}{t a n x}

Topic:

Application of Derivatives

View solution

Question 3

\frac{e ^{x} t a n x + 1}{t a n x}

x^{4} lo g x

(x^{2} + 1) sin x

10.

\frac{s i n x}{x}

12.

\frac{1 - c o s x}{1 + c o s x}

[P. U. 79, 81; B. U. 57

Topic:

Application of Derivatives

View solution

Question 4

remaining numbers is 18 . 5. The heights of the students of a school (measured to the nearest

cm

) were recorded as under: Find the mean height by using short-cut method. 6. Find the value of

p

for the following distribution whose mean is 10: 7. Consider the following distribution of daily wages of 50 workers of a factory:

Topic:

Application of Derivatives

View solution

Question 5

12. If

y = a e^{n x} + b e

101:- Given,

y = a e^{n x} + b e^{- n x}

y^{'} = a \cdot w \cdot r to ’xx’ e^{n x} (n) + b e^{- n x} (- n) y^{''} = n^{2} a e^{in x} + n^{2} b e^{- n x} y^{''} = n^{2} (a e^{n x} + b e^{- n x})

Topic:

Application of Derivatives

View solution

Question 6

Find lower and upper quartile.

41, 21, 38, 27, 31, 45, 23, 26, 29, 30, 30, 28, 25, 35 42, 47, 53, 29, 31, 35

Topic:

Application of Derivatives

View solution

Question 7

प्रश्नावली

2 \cdot 1

1. यदि

(x + 1, y - 2) = (3, 1)

, तो

x

और

y

के मान ज्ञात कीजिए। (NCERT) 2. (i) यदि

a = {- 1, 2, 3, 4, 5}

तथा

b = {0, 3, 6}

, तो ऐसे सभी क्रमित युग्म ज्ञात कीजिए कि

a + b = 5

. (ii)

A = {(x, y) : x^{2} + y^{2} = 25; x, y \in W}

को क्रमित युग्मों के समुच्चय के रूप में लिखिए। 3. यदि

A = {a, b}

और

B = {1, 2, 3}

, निम्नलिखित ज्ञात कीजिए- (i)

A \times B

(iii)

A \times A

(ii)

B \times A

(v)

(A \times B) \cap (B \times A)

. (iv)

B \times B

4. यदि

G = {7, 8}

और

H = {5, 4, 2}

, तो

G \times H

और

H \times G

ज्ञात कीजिए। (NCERT) 5. यदि

A = {1, 2, 3}, B = {3, 4}

और

C = {1, 3, 5}

, तो निम्नलिखित ज्ञात कीजिए- (i)

A \times (B \cup C)

(ii)

A \times (B \cap C)

(iii)

(A \times B) \cap (A \times C)

. 6. यदि

A = {- 1, 1}

, तो

A \times A \times A

ज्ञात कीजिए। (NCERT) 7. माना

A = {1, 2, 3}

तथा

B = {x : x \in N

, और

x

संख्या 5 से छोटी अभाज्य संख्या है

. A \times B

और

B \times A

ज्ञात कीजिए। 8. यदि

A = {1, 4}, B = {2, 3, 6}

और

C = {2, 3, 7}

, तो सत्यापित कीजिए-

Topic:

Application of Derivatives

View solution

Question 8

∣ ∣ 141517182021 ∣ ∣ = 0

(i) यदि

A = [12 2 - 1]

, तो

A^{- 1}

ज्ञात कीजिए। (ii) अन्तराल

[0, 3]

पर

3 x^{4} - 8 x^{3} + 12 x^{2} - 48 x + 25

के उच्चतम मान और निम्नतम मान ज्ञात कीजिए।

Topic:

Application of Derivatives

View solution

Question 9

Summary of the Questions Asked in Previous Exam (24) Check whether the conditions of Rolle's theorem are satisfied by the function

f (x) = (x - 1) (x - 2) (x - 3)

x \in [L .3]

Topic:

Application of Derivatives

View solution

Question 10

I m not going to any coaching. I study from home ( self study) . Can you help me to make perfect Timetable for me?

Topic:

Application of Derivatives

View solution

Found the solution, but did not understand the concept?

Connect with a tutor in less than 60 seconds 24x7

Ask my first question

Question 11

Wallah 32:46 T-O 1e 180-0. Sm(π-0) = Smo Cos (7-0) ton (1-0) = - tam@ ot (70) = =- Coso =-110 (1-0) = - Seco (x-01 = cosecd. or 180+ 0. Sm (1+0)=-Smo ~cos (1+0) = - coso T+0 (No change) tan (1+0) = tamo cot (7+) = coto Sec (+0) = seco Cosec (x+8)= - coseco Q 2:01:38

Topic:

Application of Derivatives

View solution

Question 12

OMAXIMA AND MINIMA (

∠ A Q^{'}

) 59 , 1) If the curved surface of right cincular cylinder inscribed in a sphere of nadius "

γ

" is maximum, shou that the height of cylinder is

0 r

let

h =

height of the cylinder R. Rodius of the cylinder

γ

: Radiur of the sphere from

△ O A B

\frac{h ^{2}}{4} + R^{2} = γ^{2}

R^{2} = r^{2} \cdot \frac{h ^{2}}{4} \to

(i)

\dots .... \to 1 M

Curved surface area of cylinder,

S = 2 π R h

S.O.B.S S^{'} = 4 π^{2} R^{2} h^{'} s^{2} = 4 n^{2} h^{2} (γ^{2} - \frac{h ^{2}}{4}) s^{'} = u π^{2} h^{2} r^{2} - u π^{2} b^{2} \times \frac{h ^{2}}{4} s^{2} = 4 π^{3} h^{2} γ^{2} \cdot π^{2} h^{4} let f (h) = u π^{2} h^{2} γ^{2} \cdot T^{2} h^{4} f^{'} (h) = 4 π^{2} γ^{2} (ν h) - π^{2} (u h^{3}) ⟶ M f^{''} (h) = u π^{'} r^{2} (2) - 4 π^{2} (3 h^{2}) f^{''} (h) = 8 π^{2} r^{2} - 12 π^{2} h^{2} ⟶ M for maxima (0,) minima f^{'} (h) = 0 4 m^{2} r^{2} (Δ h) - π^{2} (u h^{3}) = 0 4 π^{2} h (3 r^{2} - h^{2}) = 0 3 n^{2} - b^{2} = 0 - h^{2} = - 9 r^{2}

Topic:

Application of Derivatives

View solution

Question 13

SUBIECTIVE Problem iff Find the equation of the ellipse having centre at

(1, 2)

, one focus at

(6, 2)

and passing through the point

(4, 6)

Topic:

Application of Derivatives

View 3 solutions

Question 14

Q.1) the srim of absolite minimum and the alyolite manimim walne in the interual

[- 1, 2]

ic. (a)

\frac{17 +}{\frac{17 + 5}{2}}

(b)

\frac{17 + 5}{c) ^{2}}

(1)

\frac{9 - 17}{2}

Topic:

Application of Derivatives

View solution

Question 15

e. Find the equan of ellipse whase te is

(1, 0)

s the directrix

x + y + 1 = 0

whose ecentricity is

\frac{1}{2}

Topic:

Application of Derivatives

View solution

Question 16

(1) रेखा

3 x + 2 y = 5

ग्राफ खीजिए तथा इस रेखा और निदैशांक अक्षो के मध्य के भाग का क्षेत्रफल ज्ञात करो

Topic:

Application of Derivatives

View solution

Question 17

from

x y = 2

d.w.r to

x

\frac{d y}{d x} = 2 (\frac{- 1}{x ^{2}}) m_{1} = \frac{d y}{d x} (- 2, - 1) = 2 (\frac{- 1}{( - 2 ) ^{2}}) = 2 (\frac{- 1}{4}) m_{1} = \frac{- 1}{2}

let' 'o' be the ang then

tan θ

Topic:

Application of Derivatives

View solution

Question 18

190 =

एस बी पी डी पब्लिकेशन्स वित्तीय लेखांकन-X। 6.)5. निम्नलिखित लेन-देनों से के. के. कम्पनी की पुस्तकों में रोजनामचा कर्शिजिए : Prepare Journal in the books of K. K. Co. from the following transactions : 2011 दिसम्बर 1 पूँजी से व्यापार आरख्भ किया (Started business with a capital) 6 बेंक में जमा किया (Paid into Bank) 8 नकद माल खरीदा (Purchased goods for cash) 9 राम को दिया (Paid to Ram) उसने कटौती दी (Discount allowed by him) 10 नकद बिक्री (Cash Sales) 12 हरी को नकद माल बेचा (Sold goods to Hari for Cash) 15 एम से माल खरीदा (Purchased goods from Ram) -- 18 श्रािकों को मजदूरी दी (Paid wages to workers) 20 पंकज से प्राप्त किस्षा (Received from Pankaj) उसे कटौती दी (Allowed him discount) 22 बैंक से निक्राला (Drew from Bank) 25 राम नो चैक से, भुगतान किया (Paid to Ram by Cheque) 27 व्यक्तिगत खर्च के लिए आहरण किग़ा (Drew for personal use) 31 वेतन एवं किरायों क्रमशः ₹ 1,000 एवं ₹ 100 दिया (Paid Salary and Rent ₹ 1,000 and

₹100

respectively) [Aus. Total of Journal ₹ 91,100]

Topic:

Application of Derivatives

View solution

Question 19

24 lim_{x - 0} \frac{s i n 15 x}{s i n 5 x}

lim_{x - 0} \frac{1 - c o s 4 x}{1 - c o s 6 x}

25. Write down the sample space when three coin are tossed simultaneously. OR Write down sample space when 2 dice are thrown. SECTION C 26. The sum of three consecutive number are in AP is 69 and Product of two smaller part are 3 .Find the number. 27 A linespassed through

(3, 4)

and sum of whose intercept is 14 . Find equation. OR Find the value of

k

of the line

2 x - 3 y + k = 0, 3 x - 4 y - 13 =

0 .

8 x - 11 y - 33 = 0

are concurrent.

2816 x^{2} + 25 y^{2} = 400

. Find eccentricity, foci and vertex.

29 y = a Sin x + b Cos x

show that

y^{2} + (\frac{d y}{d x})^{2} = a^{2} + b^{2}

or Find

\frac{d y}{d x}

by first

Topic:

Application of Derivatives

View solution

Question 20

Q. Show that.

9 x^{2} + 4 y^{2} + 36 x - 24 y + 36 = 0

is an cllipse. Alsa find oll tormp

Topic:

Application of Derivatives

View solution

1 2 3 4 5 6 7

Get instant study help from an expert tutor 24/7

Download Filo

Filters

Filters

class

subject

topic

Application Of Derivatives - Mathematics Questions asked by Filo students

Found the solution, but did not understand the concept?

Ask my first question