Question and Answers Forum

AllQuestion and Answers: Page 1936

Question Number 9378 Answers: 1 Comments: 0

Solve: x^3 − 18x − 32 = 0

$$\mathrm{Solve}: \\ $$$$\mathrm{x}^{\mathrm{3}} \:−\:\mathrm{18x}\:−\:\mathrm{32}\:=\:\mathrm{0} \\ $$

Question Number 9367 Answers: 1 Comments: 0

Solve simultaneously. 3x^2 + 4xy + 3y^2 = 3 ......... (i) x^2 + y^2 + 3x + 3y = 4 ....... (ii)

$$\mathrm{Solve}\:\mathrm{simultaneously}. \\ $$$$\mathrm{3x}^{\mathrm{2}} \:+\:\mathrm{4xy}\:+\:\mathrm{3y}^{\mathrm{2}} \:=\:\mathrm{3}\:\:\:.........\:\left(\mathrm{i}\right) \\ $$$$\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \:+\:\mathrm{3x}\:+\:\mathrm{3y}\:=\:\mathrm{4}\:\:\:\:.......\:\left(\mathrm{ii}\right) \\ $$

Question Number 9372 Answers: 0 Comments: 1

I was able to discover the conditions for the sum of two irrational numbers be an integer and the conditions for the sum be a finite decimal. But I can not do the same for periodic tithe. Someone can help me, please?

$$\mathrm{I}\:\mathrm{was}\:\mathrm{able}\:\mathrm{to}\:\mathrm{discover}\:\mathrm{the}\:\mathrm{conditions}\:\mathrm{for} \\ $$$$\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{two}\:\mathrm{irrational}\:\mathrm{numbers}\:\mathrm{be}\:\mathrm{an} \\ $$$$\mathrm{integer}\:\mathrm{and}\:\mathrm{the}\:\mathrm{conditions}\:\mathrm{for}\:\mathrm{the}\:\mathrm{sum} \\ $$$$\mathrm{be}\:\mathrm{a}\:\mathrm{finite}\:\mathrm{decimal}. \\ $$$$\mathrm{But}\:\mathrm{I}\:\mathrm{can}\:\mathrm{not}\:\mathrm{do}\:\mathrm{the}\:\mathrm{same}\:\mathrm{for}\:\mathrm{periodic} \\ $$$$\mathrm{tithe}. \\ $$$$\mathrm{Someone}\:\mathrm{can}\:\mathrm{help}\:\mathrm{me},\:\mathrm{please}? \\ $$$$ \\ $$

Question Number 9370 Answers: 2 Comments: 0

Question Number 9387 Answers: 0 Comments: 2

Question Number 9349 Answers: 0 Comments: 0

We know that R=Q∪Q^− ⊂ C. Is there another set V such that C⊂V ?

$$\mathrm{We}\:\mathrm{know}\:\mathrm{that}\:\mathbb{R}=\mathbb{Q}\cup\overset{−} {\mathbb{Q}}\:\subset\:\mathbb{C}.\:\mathrm{Is}\:\mathrm{there}\: \\ $$$$\mathrm{another}\:\mathrm{set}\:\mathbb{V}\:\mathrm{such}\:\mathrm{that}\:\mathbb{C}\subset\mathbb{V}\:? \\ $$$$ \\ $$

Question Number 9348 Answers: 0 Comments: 0

pH = pK_a + lg(C_b /C_a )

$$\mathrm{pH}\:=\:\mathrm{pK}_{\mathrm{a}} \:+\:\mathrm{lg}\frac{\mathrm{C}_{\mathrm{b}} }{\mathrm{C}_{\mathrm{a}} } \\ $$

Question Number 9347 Answers: 0 Comments: 0

pH = (1/2) (14 − pK_b + pK_a )

$$\mathrm{pH}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:\left(\mathrm{14}\:−\:\mathrm{pK}_{\mathrm{b}} \:+\:\mathrm{pK}_{\mathrm{a}} \:\right) \\ $$

Question Number 9346 Answers: 0 Comments: 0

pH = 14 − (1/2) ( pK_b − lgC_b )

$$\mathrm{pH}\:=\:\mathrm{14}\:−\:\frac{\mathrm{1}}{\mathrm{2}}\:\left(\:\mathrm{pK}_{\mathrm{b}} \:\:−\:\:\mathrm{lgC}_{\mathrm{b}} \:\right) \\ $$

Question Number 9342 Answers: 1 Comments: 0

Solve for n n^2 ≥n^3 −1

$$\mathrm{Solve}\:\mathrm{for}\:{n} \\ $$$${n}^{\mathrm{2}} \geqslant{n}^{\mathrm{3}} −\mathrm{1} \\ $$

Question Number 9334 Answers: 1 Comments: 0

express the following in form of log a(f(x)) (i) 4log_a x−log_a (x^2 +x^3 ) (ii) log_a x + log_a (x+3)

$$\mathrm{express}\:\mathrm{the}\:\mathrm{following}\:\mathrm{in}\:\mathrm{form}\:\mathrm{of}\:\mathrm{log}\:\mathrm{a}\left(\mathrm{f}\left(\mathrm{x}\right)\right) \\ $$$$\left(\mathrm{i}\right)\:\mathrm{4log}_{\mathrm{a}} \mathrm{x}−\mathrm{log}_{\mathrm{a}} \left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}^{\mathrm{3}} \right) \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{log}_{\mathrm{a}} \mathrm{x}\:+\:\:\mathrm{log}_{\mathrm{a}} \left(\mathrm{x}+\mathrm{3}\right) \\ $$

Question Number 9333 Answers: 1 Comments: 0

given that log 2=0.3.show that log 5=0.7

$$\mathrm{given}\:\mathrm{that}\:\mathrm{log}\:\mathrm{2}=\mathrm{0}.\mathrm{3}.\mathrm{show}\:\mathrm{that}\:\mathrm{log}\:\mathrm{5}=\mathrm{0}.\mathrm{7} \\ $$

Question Number 9332 Answers: 1 Comments: 0

Question Number 9330 Answers: 0 Comments: 0

Question Number 9325 Answers: 1 Comments: 0

Question Number 9324 Answers: 1 Comments: 0

if x=((a(1−r^n ))/(1−r)) make r the subject of the formula

$${if}\:\:{x}=\frac{{a}\left(\mathrm{1}−{r}^{{n}} \right)}{\mathrm{1}−{r}}\:{make}\:{r}\:{the}\: \\ $$$${subject}\:{of}\:{the}\:{formula} \\ $$

Question Number 9323 Answers: 0 Comments: 1

if x=((a(1−r^n ))/(1−r)) make r the subject of the formula

$${if}\:\:{x}=\frac{{a}\left(\mathrm{1}−{r}^{{n}} \right)}{\mathrm{1}−{r}}\:{make}\:{r}\:{the}\: \\ $$$${subject}\:{of}\:{the}\:{formula} \\ $$

Question Number 9313 Answers: 0 Comments: 1

∫_0 ^∞ {{

$$\int_{\mathrm{0}} ^{\infty} \left\{\left\{\right.\right. \\ $$

Question Number 9314 Answers: 1 Comments: 0

solve for M: c=Mln (z)+q

$${solve}\:{for}\:{M}: \\ $$$$ \\ $$$${c}={M}\mathrm{ln}\:\left({z}\right)+{q} \\ $$

Question Number 9306 Answers: 1 Comments: 0

Differentiate from the first principle: y = tan2x

$$\mathrm{Differentiate}\:\mathrm{from}\:\mathrm{the}\:\mathrm{first}\:\mathrm{principle}: \\ $$$$\mathrm{y}\:=\:\mathrm{tan2x} \\ $$

Question Number 9298 Answers: 1 Comments: 0

Question Number 9312 Answers: 0 Comments: 6

Solve simultaneously xy + x + y = 23 ....... (i) xz + x + z = 41 ........ (ii) yz + y + z = 27 ........ (iii)

$$\mathrm{Solve}\:\mathrm{simultaneously} \\ $$$$\mathrm{xy}\:+\:\mathrm{x}\:+\:\mathrm{y}\:=\:\mathrm{23}\:\:\:\:.......\:\left(\mathrm{i}\right) \\ $$$$\mathrm{xz}\:+\:\mathrm{x}\:+\:\mathrm{z}\:=\:\mathrm{41}\:\:\:\:........\:\left(\mathrm{ii}\right) \\ $$$$\mathrm{yz}\:+\:\mathrm{y}\:+\:\mathrm{z}\:=\:\mathrm{27}\:\:\:\:\:........\:\left(\mathrm{iii}\right) \\ $$

Question Number 9287 Answers: 2 Comments: 0

find the determinant of the matrix below determinant ((0,4,0,0,0),(0,0,0,2,0),(0,0,3,0,0),(0,0,0,0,1),(5,0,0,0,0))

$${find}\:{the}\:{determinant}\:{of}\:{the}\:{matrix}\:{below} \\ $$$$\begin{vmatrix}{\mathrm{0}}&{\mathrm{4}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{2}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{3}}&{\mathrm{0}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{1}}\\{\mathrm{5}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}\end{vmatrix} \\ $$

Question Number 9286 Answers: 1 Comments: 0

find the determinant of the matrix below determinant ((0,0,0,0,1),(0,0,0,2,0),(0,0,3,0,0),(0,4,0,0,0),(5,0,0,0,0))

$${find}\:{the}\:{determinant}\:{of}\:{the}\:{matrix}\:{below} \\ $$$$\begin{vmatrix}{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{1}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{2}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{3}}&{\mathrm{0}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{4}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}\\{\mathrm{5}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}\end{vmatrix} \\ $$

Question Number 9285 Answers: 1 Comments: 0

find the determinant of the matrix below [(1,4,(−3),1),(2,0,6,3),(4,(−1),2,5),(1,0,(−2),4) ]

$${find}\:{the}\:{determinant}\:{of}\:{the}\:{matrix}\:{below} \\ $$$$\begin{bmatrix}{\mathrm{1}}&{\mathrm{4}}&{−\mathrm{3}}&{\mathrm{1}}\\{\mathrm{2}}&{\mathrm{0}}&{\mathrm{6}}&{\mathrm{3}}\\{\mathrm{4}}&{−\mathrm{1}}&{\mathrm{2}}&{\mathrm{5}}\\{\mathrm{1}}&{\mathrm{0}}&{−\mathrm{2}}&{\mathrm{4}}\end{bmatrix} \\ $$

Question Number 9279 Answers: 3 Comments: 0

evalute the value of Σ_(m=2 ) ^5 m^4

$$\mathrm{evalute}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\overset{\mathrm{5}} {\sum}_{\mathrm{m}=\mathrm{2}\:} \mathrm{m}^{\mathrm{4}} \\ $$

Pg 1931 Pg 1932 Pg 1933 Pg 1934 Pg 1935 Pg 1936 Pg 1937 Pg 1938 Pg 1939 Pg 1940

Contact: info@tinkutara.com