Question and Answers Forum

AllQuestion and Answers: Page 1189

Question Number 89834 Answers: 1 Comments: 1

Find x e^x = x^2 −1 anyother method apart from Newton′s

$${Find}\:{x}\: \\ $$$$\boldsymbol{{e}}^{\boldsymbol{{x}}} =\:\boldsymbol{{x}}^{\mathrm{2}} −\mathrm{1} \\ $$$$\boldsymbol{{anyother}}\:\boldsymbol{{method}}\:\boldsymbol{{apart}}\:\boldsymbol{{from}}\:\boldsymbol{{N}}{ewton}'{s} \\ $$

Question Number 89829 Answers: 0 Comments: 9

Question Number 89826 Answers: 0 Comments: 0

Solve the equation: x^2 + xy + y^2 = 7 ...... (i) y^2 + yz + z^2 = 3 ...... (ii) z^2 + xz + x^2 = 1 ..... (iii)

$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{equation}: \\ $$$$\:\:\:\:\:\:\mathrm{x}^{\mathrm{2}} \:\:+\:\:\mathrm{xy}\:\:+\:\:\mathrm{y}^{\mathrm{2}} \:\:\:=\:\:\:\mathrm{7}\:\:\:\:\:\:\:\:\:......\:\left(\mathrm{i}\right) \\ $$$$\:\:\:\:\:\:\mathrm{y}^{\mathrm{2}} \:\:+\:\:\mathrm{yz}\:\:+\:\:\mathrm{z}^{\mathrm{2}} \:\:\:=\:\:\:\mathrm{3}\:\:\:\:\:\:\:\:\:\:......\:\left(\mathrm{ii}\right) \\ $$$$\:\:\:\:\:\:\mathrm{z}^{\mathrm{2}} \:\:+\:\:\mathrm{xz}\:\:+\:\:\mathrm{x}^{\mathrm{2}} \:\:\:=\:\:\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:.....\:\left(\mathrm{iii}\right) \\ $$

Question Number 89809 Answers: 3 Comments: 0

(dy/dx) = (y^2 /(xy−x^2 ))

$$\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{y}^{\mathrm{2}} }{\mathrm{xy}−\mathrm{x}^{\mathrm{2}} } \\ $$

Question Number 89805 Answers: 1 Comments: 3

find minimum and maximum value of f(x,y) = x^2 −y^2 with constraint x^2 +y^2 = 1 with Lagrange method

$$\mathrm{find}\:\mathrm{minimum}\:\mathrm{and}\:\mathrm{maximum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)\:=\:\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} \\ $$$$\mathrm{with}\:\mathrm{constraint}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{1} \\ $$$$\mathrm{with}\:\mathrm{Lagrange}\:\mathrm{method} \\ $$

Question Number 89804 Answers: 1 Comments: 0

Question Number 89816 Answers: 0 Comments: 3

Question Number 89817 Answers: 0 Comments: 0

Question Number 89795 Answers: 1 Comments: 0

Question Number 89794 Answers: 0 Comments: 1

true or false (1+(1/1^3 ))(1+(1/2^3 ))(1+(1/3^3 )).....(1+(1/n^3 ))<3

$${true}\:{or}\:{false} \\ $$$$\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}^{\mathrm{3}} }\right)\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{3}} }\right)\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{3}^{\mathrm{3}} }\right).....\left(\mathrm{1}+\frac{\mathrm{1}}{{n}^{\mathrm{3}} }\right)<\mathrm{3} \\ $$

Question Number 89781 Answers: 0 Comments: 8

Question Number 89776 Answers: 0 Comments: 2

what is the stability of the following function (dy/dt) = y^3 −2y^2 + y

$${what}\:{is}\:{the}\:{stability}\:{of}\:{the}\: \\ $$$${following}\:{function}\: \\ $$$$\frac{{dy}}{{dt}}\:=\:{y}^{\mathrm{3}} \:−\mathrm{2}{y}^{\mathrm{2}} \:+\:{y}\: \\ $$

Question Number 89768 Answers: 2 Comments: 0

t(n) − t(n−1) = n for n > 0 and t(0) = 1 find t(n)

$${t}\left({n}\right)\:−\:{t}\left({n}−\mathrm{1}\right)\:=\:{n}\:\: \\ $$$${for}\:{n}\:>\:\mathrm{0}\:{and}\:{t}\left(\mathrm{0}\right)\:=\:\mathrm{1}\: \\ $$$${find}\:{t}\left({n}\right)\: \\ $$

Question Number 89755 Answers: 1 Comments: 1

Question Number 89753 Answers: 1 Comments: 6

(d/dx) (Π_(k = 1) ^(16) (x+(1/k)))∣_( x = 0) = ?

$$\frac{\mathrm{d}}{\mathrm{dx}}\:\left(\underset{\mathrm{k}\:=\:\mathrm{1}} {\overset{\mathrm{16}} {\prod}}\left(\mathrm{x}+\frac{\mathrm{1}}{\mathrm{k}}\right)\right)\underset{\:\mathrm{x}\:=\:\mathrm{0}} {\mid}\:=\:? \\ $$

Question Number 89749 Answers: 0 Comments: 4

Question Number 89748 Answers: 0 Comments: 4

dx = (1+2xtan y) dy

$$\mathrm{dx}\:=\:\left(\mathrm{1}+\mathrm{2xtan}\:\mathrm{y}\right)\:\mathrm{dy}\: \\ $$

Question Number 89745 Answers: 0 Comments: 2

f(x) = f(x+((3π)/8)) , ∀x∈ R if ∫_0 ^(3π/8) f(x) dx = t , then ∫_π ^(5π/2) f(x−π) dx = A. 2t B. 3t C. 4t D. 6t E. 8t

$$\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{f}\left(\mathrm{x}+\frac{\mathrm{3}\pi}{\mathrm{8}}\right)\:,\:\forall\mathrm{x}\in\:\mathbb{R} \\ $$$$\mathrm{if}\:\underset{\mathrm{0}} {\overset{\mathrm{3}\pi/\mathrm{8}} {\int}}\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{dx}\:=\:\mathrm{t}\:,\:\mathrm{then}\: \\ $$$$\underset{\pi} {\overset{\mathrm{5}\pi/\mathrm{2}} {\int}}\mathrm{f}\left(\mathrm{x}−\pi\right)\:\mathrm{dx}\:=\: \\ $$$$\mathrm{A}.\:\mathrm{2t}\:\:\:\:\:\:\:\mathrm{B}.\:\mathrm{3t}\:\:\:\:\:\:\:\mathrm{C}.\:\mathrm{4t}\:\:\:\:\:\:\:\mathrm{D}.\:\mathrm{6t} \\ $$$$\mathrm{E}.\:\mathrm{8t}\: \\ $$

Question Number 89920 Answers: 0 Comments: 1

x=(1/(1+(1/(1+x)))) and y=(2/(2+(1/(1+y )))) find x+y

$${x}=\frac{\mathrm{1}}{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{1}+{x}}}\:{and}\:{y}=\frac{\mathrm{2}}{\mathrm{2}+\frac{\mathrm{1}}{\mathrm{1}+{y}\:}}\:{find}\:{x}+{y} \\ $$

Question Number 89741 Answers: 0 Comments: 1

Question Number 89737 Answers: 0 Comments: 0

Question Number 89736 Answers: 0 Comments: 1

Question Number 89735 Answers: 0 Comments: 1

Question Number 89732 Answers: 0 Comments: 0

Question Number 89728 Answers: 1 Comments: 0

Find the area bounded by 3x+4y=12 and the coordinate axes?

$${Find}\:{the}\:{area}\:{bounded}\:{by}\:\mathrm{3}{x}+\mathrm{4}{y}=\mathrm{12} \\ $$$${and}\:{the}\:{coordinate}\:{axes}? \\ $$

Question Number 89726 Answers: 0 Comments: 0

∫_0 ^1 6(√(x/(x^2 +1))) dx

$$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{6}\sqrt{\frac{{x}}{{x}^{\mathrm{2}} +\mathrm{1}}}\:{dx} \\ $$

Pg 1184 Pg 1185 Pg 1186 Pg 1187 Pg 1188 Pg 1189 Pg 1190 Pg 1191 Pg 1192 Pg 1193

Contact: info@tinkutara.com