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AllQuestion and Answers: Page 1931

Question Number 15572 Answers: 2 Comments: 1

Question Number 15570 Answers: 2 Comments: 1

Solve: 2^x = x^4

$$\mathrm{Solve}:\:\:\:\mathrm{2}^{\mathrm{x}} \:=\:\mathrm{x}^{\mathrm{4}} \\ $$

Question Number 15567 Answers: 2 Comments: 3

Question Number 15561 Answers: 0 Comments: 3

Question Number 15558 Answers: 1 Comments: 1

Question Number 15555 Answers: 1 Comments: 0

Prove that ((cos 8x − cos 7x)/(1 + 2 cos 5x)) = cos 3x − cos 2x

$$\mathrm{Prove}\:\mathrm{that} \\ $$$$\frac{\mathrm{cos}\:\mathrm{8}{x}\:−\:\mathrm{cos}\:\mathrm{7}{x}}{\mathrm{1}\:+\:\mathrm{2}\:\mathrm{cos}\:\mathrm{5}{x}}\:=\:\mathrm{cos}\:\mathrm{3}{x}\:−\:\mathrm{cos}\:\mathrm{2}{x} \\ $$

Question Number 15543 Answers: 2 Comments: 0

Q#13724 Reposted. E_ ^ xpansion of 1000! has 24 0′s at the end. Find the first non- zero digit from right. 1000!=....d0000...0 What is the the value of d?

$$\mathrm{Q}#\mathrm{13724}\:\mathcal{R}{eposted}. \\ $$$$\mathcal{E}_{\:} ^{\:} \mathrm{xpansion}\:\mathrm{of}\:\mathrm{1000}! \\ $$$$\mathrm{has}\:\mathrm{24}\:\:\mathrm{0}'\mathrm{s}\:\mathrm{at}\:\mathrm{the}\:\mathrm{end}.\:\mathrm{Find} \\ $$$$\mathrm{the}\:\mathrm{first}\:\mathrm{non}-\:\mathrm{zero}\:\mathrm{digit}\: \\ $$$$\mathrm{from}\:\mathrm{right}. \\ $$$$\mathrm{1000}!=....\mathrm{d0000}...\mathrm{0} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{d}? \\ $$$$ \\ $$

Question Number 15541 Answers: 0 Comments: 1

If θ lies in the first quadrant which of the following is not true?

$$\mathrm{If}\:\theta\:\mathrm{lies}\:\mathrm{in}\:\mathrm{the}\:\mathrm{first}\:\mathrm{quadrant}\:\mathrm{which}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{following}\:\mathrm{is}\:\mathrm{not}\:\mathrm{true}? \\ $$

Question Number 15539 Answers: 0 Comments: 0

Question Number 15538 Answers: 0 Comments: 0

Question Number 15534 Answers: 1 Comments: 1

Question Number 15504 Answers: 1 Comments: 3

Solve ⌈x^2 ⌉=(⌊x⌋)^2 +2x

$$\mathrm{Solve}\:\lceil{x}^{\mathrm{2}} \rceil=\left(\lfloor{x}\rfloor\right)^{\mathrm{2}} +\mathrm{2}{x} \\ $$

Question Number 15501 Answers: 1 Comments: 0

Solve x^3 −⌊x⌋=3

$$\mathrm{Solve} \\ $$$${x}^{\mathrm{3}} −\lfloor{x}\rfloor=\mathrm{3} \\ $$

Question Number 15497 Answers: 1 Comments: 5

P=Σ_(n∈P) ^∞ n Q=Σ_(n∉P) ^∞ n P=2+3+5+7+... Q=1+4+6+8+... Is P>Q? Is Q>P?

$${P}=\underset{{n}\in\mathbb{P}} {\overset{\infty} {\sum}}{n}\:\:\:\:\:\:\:\:\:\:\:\:\:\:{Q}=\underset{{n}\notin\mathbb{P}} {\overset{\infty} {\sum}}{n} \\ $$$${P}=\mathrm{2}+\mathrm{3}+\mathrm{5}+\mathrm{7}+... \\ $$$${Q}=\mathrm{1}+\mathrm{4}+\mathrm{6}+\mathrm{8}+... \\ $$$$\: \\ $$$$\mathrm{Is}\:{P}>{Q}?\:\:\:\mathrm{Is}\:{Q}>{P}? \\ $$

Question Number 15495 Answers: 0 Comments: 2

Question Number 15485 Answers: 1 Comments: 0

Question Number 15480 Answers: 1 Comments: 1

Question Number 15471 Answers: 1 Comments: 0

Question Number 15470 Answers: 0 Comments: 0

Question Number 15474 Answers: 0 Comments: 0

Question Number 15473 Answers: 0 Comments: 0

Question Number 16613 Answers: 1 Comments: 2

Question Number 15463 Answers: 1 Comments: 0

Find the domain and range of a function for which f(x)=((1+2x)/x).

$${Find}\:{the}\:{domain}\:{and}\:{range}\:{of}\:{a}\:{function}\:{for}\:{which}\:{f}\left({x}\right)=\frac{\mathrm{1}+\mathrm{2}{x}}{{x}}. \\ $$

Question Number 15452 Answers: 1 Comments: 0

Question Number 15448 Answers: 0 Comments: 2

A vector A^→ of magnitude A is turned through an angle θ. Calculate the change in the magnitude of vector.

$$\mathrm{A}\:\mathrm{vector}\:\overset{\rightarrow} {{A}}\:\mathrm{of}\:\mathrm{magnitude}\:{A}\:\mathrm{is}\:\mathrm{turned} \\ $$$$\mathrm{through}\:\mathrm{an}\:\mathrm{angle}\:\theta.\:\mathrm{Calculate}\:\mathrm{the} \\ $$$$\mathrm{change}\:\mathrm{in}\:\mathrm{the}\:\mathrm{magnitude}\:\mathrm{of}\:\mathrm{vector}. \\ $$

Question Number 15440 Answers: 3 Comments: 9

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