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AllQuestion and Answers: Page 1844

Question Number 18666 Answers: 1 Comments: 0

An elastic material has a length of 36cm when a load of 40N is hung on it and a length of 45cm when a load of 60N is hung on it. what is the Original length of the string ?

$An elastic material has a length of 36 cm when a load of 40 N is hung on it and$ $a length of 45 cm when a load of 60 N is hung on it . what is the Original$ $length of the string ?$

Question Number 18884 Answers: 1 Comments: 0

Determine the smallest positive integer x, whose last digit is 6 and if we erase this 6 and put it in left most of the number so obtained, the number becomes 4x.

$Determine the smallest positive integer$ $x, whose last digit is 6 and if we erase$ $this 6 and put it in left most of the$ $number so obtained, the number$ $becomes 4 x .$

Question Number 18663 Answers: 1 Comments: 2

Find the product of 101 × 10001 × 100000001 × ... × (1000...01) where the last factor has 2^7 − 1 zeros between the ones. Find the number of ones in the product.

$Find the product of 101 \times 10001 \times$ $100000001 \times . . . \times (1000 . . . 01) where the$ $last factor has 2^{7} - 1 zeros between the$ $ones . Find the number of ones in the$ $product .$

Question Number 18968 Answers: 1 Comments: 1

Find the side lengths of a triangle if side lengths are consecutive integers,and one of whose angles is twice as large as another.

$Find the side lengths of a triangle$ $if side lengths are consecutive$ $integers, and one of whose angles$ $is twice as large as another .$

Question Number 18655 Answers: 0 Comments: 3

Find the number of odd integers between 30,000 and 80,000 in which no digit is repeated.

$Find the number of odd integers$ $between 30, 000 and 80, 000 in which no$ $digit is repeated .$

Question Number 18653 Answers: 1 Comments: 0

Solve the inequality, ∣x − 1∣ + ∣x + 1∣ < 4

$Solve the inequality, ∣ x - 1 ∣ + ∣ x + 1 ∣ < 4$

Question Number 18652 Answers: 1 Comments: 0

Show that for any natural number n, the fraction ((21n + 4)/(14n + 3)) is in its lowest term.

$Show that for any natural number n,$ $the fraction \frac{21 n + 4}{14 n + 3} is in its lowest term .$

Question Number 18650 Answers: 1 Comments: 0

∫dx/x(√(x^4 −1))

$\int d x / x \sqrt{x^{4} - 1}$

Question Number 18645 Answers: 0 Comments: 0

Question Number 18642 Answers: 1 Comments: 0

What is the area of the region bounded by coordinate axis and the line tangent to the graph, y = (1/8)x^2 + (1/2)x + 1, at the point (0, 1)

$What is the area of the region bounded by coordinate axis and the line$ $tangent to the graph, y = \frac{1}{8} x^{2} + \frac{1}{2} x + 1, at the point (0, 1)$

Question Number 18640 Answers: 1 Comments: 1

Question Number 18639 Answers: 0 Comments: 0

∫(√(1+x^4 )) dx please solve this question.

$\int \sqrt{1 + x^{4}} d x$ $p l e a s e s o l v e t h i s q u e s t i o n .$

Question Number 18632 Answers: 0 Comments: 0

x − 5x + 3 = 7 −4x = 4 x = −1

$x - 5 x + 3 = 7$ $- 4 x = 4$ $x = - 1$

Question Number 18625 Answers: 1 Comments: 1

x−5×+3=7

$x - 5 \times + 3 = 7$

Question Number 18624 Answers: 1 Comments: 0

Argon diffuses through a hole under prescribed condition of temperature and pressure at the rate of 3cm^3 per velocity. At what velocity will helium diffuse through the same hole under the same condition (Ar = 29.94 g, He = 4g).

$Argon diffuses through a hole under prescribed condition of temperature$ $and pressure at the rate of {3 cm}^{3} per velocity . At what velocity will helium$ $diffuse through the same hole under the same condition$ $(Ar = 29.94 g, He = 4 g) .$

Question Number 18627 Answers: 1 Comments: 1

lim_(x→0) (((sin x)/x))^((sin x)/(x−sin x))

$\lim_{x \to 0} {(\frac{\sin x}{x})}^{\frac{\sin x}{x - \sin x}}$

Question Number 18614 Answers: 0 Comments: 1

Question Number 18607 Answers: 1 Comments: 1

A block of mass M is pulled vertically upward through a rope of mass m by applying force F on-one end of the rope. What force does the rope exert on the block?

$A block of mass M is pulled vertically$ $upward through a rope of mass m by$ $applying force F on - one end of the rope .$ $What force does the rope exert on the$ $block ?$

Question Number 18606 Answers: 0 Comments: 0

(1/3)+(3/(3×7))+(5/(3×7×11))+(7/(3×7×11×15))+...n terms

$\frac{1}{3} + \frac{3}{3 \times 7} + \frac{5}{3 \times 7 \times 11} + \frac{7}{3 \times 7 \times 11 \times 15} + . . . n$ $t e r m s$

Question Number 18604 Answers: 0 Comments: 0

Question Number 18603 Answers: 0 Comments: 0

The work function of a metal is 4 eV. If light of frequency 2.3 × 10^(15) Hz is incident on metal surface, then, (1) No photoelectron will be ejected (2) 2 photoelectron of zero kinetic energy are ejected (3) 1 photoelectron of zero kinetic energy is ejected (4) 1 photoelectron is ejected, which required the stopping potential of 5.52 volt

$The work function of a metal is 4 eV . If$ $light of frequency 2.3 \times 10^{15} Hz is$ $incident on metal surface, then,$ $(1) No photoelectron will be ejected$ $(2) 2 photoelectron of zero kinetic$ $energy are ejected$ $(3) 1 photoelectron of zero kinetic$ $energy is ejected$ $(4) 1 photoelectron is ejected, which$ $required the stopping potential of 5.52$ $volt$

Question Number 18611 Answers: 1 Comments: 1

Without using L Hospital′s rule prove that lim_(x→0) ((sin x)/x)=1

$Without using L {Hospital}^{'} s$ $rule prove that \lim_{x \to 0} \frac{\sin x}{x} = 1$

Question Number 18593 Answers: 1 Comments: 0

Question Number 18590 Answers: 1 Comments: 0

∫ ((sin x)/(1 + cos^2 x)) dx

$\int \frac{\sin x}{1 + \cos^{2} x} d x$

Question Number 18588 Answers: 1 Comments: 0

sin x = ((2a + 3)/(a + 1)) How many a that can satisfy the equation above?

$\sin x = \frac{2 a + 3}{a + 1}$ $How many a that can satisfy the$ $equation above ?$

Question Number 18587 Answers: 0 Comments: 2

lim_(x→0) ((x . tan x)/(x sin x − cos x + 1))

$\lim_{x \to 0} \frac{x . \tan x}{x \sin x - \cos x + 1}$

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