Question and Answers Forum

AllQuestion and Answers: Page 353

Question Number 174683 Answers: 2 Comments: 0

lim_(x→0) [(x^2 /(sinx tanx ))] [∙] greatest integer function

$$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left[\frac{{x}^{\mathrm{2}} }{\mathrm{sin}{x}\:\mathrm{tan}{x}\:}\right] \\ $$$$\left[\centerdot\right]\:{greatest}\:{integer}\:{function} \\ $$

Question Number 174684 Answers: 1 Comments: 0

Q: I , J are two ideals of commutative ring , ( R ,⊕, ) .prove that : (√( I ∩ J )) =^? (√( I )) ∩ (√( J )) m.n note : (√(I )) = { x ∈ R ∣ ∃ n∈ N , x^( n) ∈ I }

Question Number 174681 Answers: 0 Comments: 0

In a game of lotto, balls are numbered 1 through to 90. They are placed in a barrel and five balls are drawn out without replacement. The balls are of the same size and are equally like to be drawn. The first five balls drawn out are 28 - 06 - 27 - 54 - 86. What is the probability that the next ball drawn out will be number 18?

Question Number 174677 Answers: 0 Comments: 1

Question Number 174674 Answers: 0 Comments: 0

In △ABC the following relationship holds: a^4 < (b^2 + c^2 )^2 + 9R^4

$$\mathrm{In}\:\:\bigtriangleup\mathrm{ABC}\:\:\mathrm{the}\:\mathrm{following}\:\mathrm{relationship}\:\mathrm{holds}: \\ $$$$\mathrm{a}^{\mathrm{4}} \:<\:\left(\mathrm{b}^{\mathrm{2}} \:+\:\mathrm{c}^{\mathrm{2}} \right)^{\mathrm{2}} \:+\:\mathrm{9R}^{\mathrm{4}} \\ $$

Question Number 174673 Answers: 0 Comments: 0

Question Number 174672 Answers: 1 Comments: 0

for what values a and b is the function differentiable at x=2? 4x−2x^(2 ) x≤2 ax^(3 ) +bx,x>2

$${for}\:{what}\:{values}\:{a}\:{and}\:{b}\:{is}\:{the}\: \\ $$$${function}\:{differentiable}\:{at}\:{x}=\mathrm{2}? \\ $$$$\mathrm{4}{x}−\mathrm{2}{x}^{\mathrm{2}\:} {x}\leqslant\mathrm{2} \\ $$$${ax}^{\mathrm{3}\:} +{bx},{x}>\mathrm{2} \\ $$

Question Number 174668 Answers: 1 Comments: 0

Question Number 174666 Answers: 1 Comments: 0

Question Number 174665 Answers: 0 Comments: 0

find the domain and range of tbe following 1) y = cot(2x+1) 2) y = sin∣x∣ 3) ∣y∣ = cosx 4) y = cos(cosx) 5) y =∣cscx∣ −1 6) y = sin(sinx)

$${find}\:{the}\:{domain}\:{and}\:{range}\:{of}\:{tbe}\:{following} \\ $$$$ \\ $$$$\left.\mathrm{1}\right)\:{y}\:=\:{cot}\left(\mathrm{2}{x}+\mathrm{1}\right) \\ $$$$\left.\mathrm{2}\right)\:{y}\:=\:{sin}\mid{x}\mid \\ $$$$\left.\mathrm{3}\right)\:\mid{y}\mid\:=\:{cosx} \\ $$$$\left.\mathrm{4}\right)\:{y}\:=\:{cos}\left({cosx}\right) \\ $$$$\left.\mathrm{5}\right)\:{y}\:=\mid{cscx}\mid\:−\mathrm{1} \\ $$$$\left.\mathrm{6}\right)\:{y}\:=\:{sin}\left({sinx}\right) \\ $$

Question Number 174664 Answers: 1 Comments: 0

Question Number 174661 Answers: 1 Comments: 0

After being marked down 20 percent. a calculator sells for $10. The Original selling price was ?

$$\mathrm{After}\:\mathrm{being}\:\mathrm{marked}\:\mathrm{down}\:\mathrm{20}\:\mathrm{percent}. \\ $$$$\mathrm{a}\:\mathrm{calculator}\:\mathrm{sells}\:\mathrm{for}\:\$\mathrm{10}.\:\mathrm{The}\:\mathrm{Original} \\ $$$$\mathrm{selling}\:\mathrm{price}\:\mathrm{was}\:? \\ $$

Question Number 174655 Answers: 1 Comments: 0

Factorize a^3 − 16a − 3

$$\mathrm{Factorize}\:{a}^{\mathrm{3}} \:−\:\mathrm{16}{a}\:−\:\mathrm{3} \\ $$

Question Number 174654 Answers: 0 Comments: 1

Factorize x^9 + x^7 + 1

$$\mathrm{Factorize}\:{x}^{\mathrm{9}} \:+\:{x}^{\mathrm{7}} \:+\:\mathrm{1} \\ $$

Question Number 174649 Answers: 0 Comments: 3

Question Number 174647 Answers: 0 Comments: 0

Question Number 174635 Answers: 2 Comments: 0

Question Number 174628 Answers: 1 Comments: 2

Ω = ∫ (x/(1+csc x)) dx =?

$$\:\:\:\Omega\:=\:\int\:\frac{{x}}{\mathrm{1}+\mathrm{csc}\:{x}}\:{dx}\:=? \\ $$

Question Number 174627 Answers: 0 Comments: 0

Question Number 174626 Answers: 0 Comments: 0

Question Number 174625 Answers: 0 Comments: 0

Question Number 174624 Answers: 0 Comments: 0

Question Number 174622 Answers: 0 Comments: 1

Question Number 174620 Answers: 0 Comments: 1

Question Number 174619 Answers: 2 Comments: 0

Question Number 174613 Answers: 1 Comments: 0

In a mixture of Skettles and M&M′s, 80% of the pieces are M&M′s. A fourth of this mixture is replaced by a second mixture, resulting in combination which contain 16% Skittles in total. What was the percentage of Skittles in the second mixture?

$$\mathrm{In}\:\mathrm{a}\:\mathrm{mixture}\:\mathrm{of}\:\:\mathrm{Skettles}\:\mathrm{and}\:\mathrm{M\&M}'\mathrm{s}, \\ $$$$\mathrm{80\%}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pieces}\:\mathrm{are}\:\mathrm{M\&M}'\mathrm{s}.\:\mathrm{A}\:\mathrm{fourth} \\ $$$$\mathrm{of}\:\mathrm{this}\:\mathrm{mixture}\:\mathrm{is}\:\mathrm{replaced}\:\mathrm{by}\:\mathrm{a}\:\mathrm{second} \\ $$$$\mathrm{mixture},\:\mathrm{resulting}\:\mathrm{in}\:\mathrm{combination} \\ $$$$\mathrm{which}\:\mathrm{contain}\:\mathrm{16\%}\:\mathrm{Skittles}\:\mathrm{in}\:\mathrm{total}. \\ $$$$\mathrm{What}\:\mathrm{was}\:\mathrm{the}\:\mathrm{percentage}\:\mathrm{of}\:\mathrm{Skittles} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{second}\:\mathrm{mixture}? \\ $$

Pg 348 Pg 349 Pg 350 Pg 351 Pg 352 Pg 353 Pg 354 Pg 355 Pg 356 Pg 357

Contact: info@tinkutara.com