Question and Answers Forum

AllQuestion and Answers: Page 1961

Question Number 12303 Answers: 1 Comments: 0

What is∫_1 ^3 ∣1−x^4 ∣dx equal to? (a) −232/5 (b) −116/5 (c) 116/5 (d) 232/5

$${What}\:{is}\underset{\mathrm{1}} {\overset{\mathrm{3}} {\int}}\mid\mathrm{1}−{x}^{\mathrm{4}} \:\mid{dx}\:{equal}\:{to}? \\ $$$$\left({a}\right)\:\:−\mathrm{232}/\mathrm{5} \\ $$$$\left({b}\right)\:\:−\mathrm{116}/\mathrm{5} \\ $$$$\left({c}\right)\:\:\:\mathrm{116}/\mathrm{5} \\ $$$$\left({d}\right)\:\:\:\mathrm{232}/\mathrm{5} \\ $$

Question Number 12302 Answers: 1 Comments: 0

Let f(x) be a function such that f′(1/x)+x^3 f′(x)=0. What is ∫_(−1) ^1 f(x)dx equal to? (a) 2f(1) (b) 0 (c) 2f(−1) (d) 4f(1)

$${Let}\:{f}\left({x}\right)\:{be}\:{a}\:{function}\:{such}\:{that} \\ $$$${f}'\left(\mathrm{1}/{x}\right)+{x}^{\mathrm{3}} {f}'\left({x}\right)=\mathrm{0}. \\ $$$${What}\:{is}\:\underset{−\mathrm{1}} {\overset{\mathrm{1}} {\int}}{f}\left({x}\right){dx}\:{equal}\:{to}? \\ $$$$\left({a}\right)\:\:\mathrm{2}{f}\left(\mathrm{1}\right) \\ $$$$\left({b}\right)\:\:\mathrm{0} \\ $$$$\left({c}\right)\:\:\mathrm{2}{f}\left(−\mathrm{1}\right) \\ $$$$\left({d}\right)\:\:\mathrm{4}{f}\left(\mathrm{1}\right) \\ $$

Question Number 12300 Answers: 1 Comments: 0

{ ((x+y=5)),((2x−y=1)) :}

$$\begin{cases}{{x}+{y}=\mathrm{5}}\\{\mathrm{2}{x}−{y}=\mathrm{1}}\end{cases} \\ $$

Question Number 12292 Answers: 2 Comments: 0

Question Number 12284 Answers: 2 Comments: 0

Question Number 12279 Answers: 0 Comments: 4

i guess i posted this question but didnt really get much response. pls help out if 8log_2 x + (x−1)log_x 2 =3^x find x.

$$\mathrm{i}\:\mathrm{guess}\:\mathrm{i}\:\mathrm{posted}\:\mathrm{this}\:\mathrm{question}\:\mathrm{but} \\ $$$$\mathrm{didnt}\:\mathrm{really}\:\mathrm{get}\:\mathrm{much}\:\mathrm{response}. \\ $$$$\mathrm{pls}\:\mathrm{help}\:\mathrm{out} \\ $$$$ \\ $$$$\mathrm{if}\:\mathrm{8log}_{\mathrm{2}} \:\mathrm{x}\:+\:\left(\mathrm{x}−\mathrm{1}\right)\mathrm{log}_{\mathrm{x}} \:\mathrm{2}\:=\mathrm{3}^{\mathrm{x}} \: \\ $$$$\mathrm{find}\:\mathrm{x}. \\ $$

Question Number 12275 Answers: 0 Comments: 0

∮(x)=(x/(1−x)). ∮′(2)=?.

$$\oint\left(\boldsymbol{\mathrm{x}}\right)=\frac{\boldsymbol{\mathrm{x}}}{\mathrm{1}−\boldsymbol{\mathrm{x}}}.\:\:\:\:\:\oint'\left(\mathrm{2}\right)=?. \\ $$

Question Number 12267 Answers: 2 Comments: 0

Find the nth term of the sequence 1) (1/3) , (1/(15)) , (1/(35)) , (1/(63)) , (1/(99)) 2) (1/2), (1/6), (1/(12)), (1/(20)), (1/(30))

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sequence} \\ $$$$\left.\mathrm{1}\right)\:\:\:\frac{\mathrm{1}}{\mathrm{3}}\:,\:\frac{\mathrm{1}}{\mathrm{15}}\:,\:\frac{\mathrm{1}}{\mathrm{35}}\:,\:\frac{\mathrm{1}}{\mathrm{63}}\:,\:\frac{\mathrm{1}}{\mathrm{99}} \\ $$$$\left.\mathrm{2}\right)\:\:\:\:\frac{\mathrm{1}}{\mathrm{2}},\:\frac{\mathrm{1}}{\mathrm{6}},\:\frac{\mathrm{1}}{\mathrm{12}},\:\frac{\mathrm{1}}{\mathrm{20}},\:\frac{\mathrm{1}}{\mathrm{30}} \\ $$

Question Number 12265 Answers: 0 Comments: 2

Determinant method can be used to solve the system below?, if yes solve by determinant method and if no solve by another method x+y−z=8 2x+y−2z=3 (give clear reason for your answer)

$${Determinant}\:{method}\:{can}\:{be}\:{used}\:{to}\:{solve} \\ $$$${the}\:{system}\:{below}?,\:\mathrm{if}\:\mathrm{yes}\:\mathrm{solve}\:\mathrm{by}\:\mathrm{determinant}\:\mathrm{method}\:\mathrm{and} \\ $$$$\:\mathrm{if}\:\mathrm{no}\:\mathrm{solve}\:\mathrm{by}\:\mathrm{another}\:\mathrm{method} \\ $$$$\:\:\:\:\:\:\:\:\: \\ $$$${x}+{y}−{z}=\mathrm{8} \\ $$$$\mathrm{2}{x}+{y}−\mathrm{2}{z}=\mathrm{3} \\ $$$$\left({give}\:{clear}\:{reason}\:{for}\:{your}\:{answer}\right) \\ $$

Question Number 12261 Answers: 1 Comments: 0

find the value of a b and c a+b+c=4 a^2 +b^2 +c^2 =66 a^3 +b^3 +c^3 =280

$${find}\:{the}\:{value}\:{of}\:{a}\:{b}\:{and}\:{c} \\ $$$$\:{a}+{b}+{c}=\mathrm{4} \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} =\mathrm{66} \\ $$$${a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} =\mathrm{280} \\ $$

Question Number 12257 Answers: 1 Comments: 0

Question Number 12255 Answers: 2 Comments: 0

Question Number 12254 Answers: 0 Comments: 0

Question Number 12246 Answers: 1 Comments: 0

Let g(x) be an ininitely differentiable function , such that g(2x + 6) = g^′ (3x − 1) for all x. given that g(((44)/3)) = 33 . find g′′(8)

$$\mathrm{Let}\:\:\mathrm{g}\left(\mathrm{x}\right)\:\mathrm{be}\:\mathrm{an}\:\mathrm{ininitely}\:\mathrm{differentiable}\:\mathrm{function}\:,\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{g}\left(\mathrm{2x}\:+\:\mathrm{6}\right)\:=\:\mathrm{g}^{'} \left(\mathrm{3x}\:−\:\mathrm{1}\right)\:\mathrm{for}\:\mathrm{all}\:\mathrm{x}. \\ $$$$\mathrm{given}\:\mathrm{that}\:\:\mathrm{g}\left(\frac{\mathrm{44}}{\mathrm{3}}\right)\:=\:\mathrm{33}\:.\:\:\mathrm{find}\:\:\:\mathrm{g}''\left(\mathrm{8}\right) \\ $$

Question Number 12245 Answers: 1 Comments: 0

Solve the differential equation (dy/dx) = ((4x + 2y − 3)/(8x − 4y + 5))

$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equation} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{4x}\:+\:\mathrm{2y}\:−\:\mathrm{3}}{\mathrm{8x}\:−\:\mathrm{4y}\:+\:\mathrm{5}} \\ $$

Question Number 12228 Answers: 2 Comments: 0

Solve the differential equation (dy/dx) = ((2xy)/(x^2 + y^2 ))

$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equation} \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{2xy}}{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} } \\ $$

Question Number 12226 Answers: 2 Comments: 0

Find the nth term of this sequence 3, 18, 45, 84, 135 ...

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{this}\:\mathrm{sequence} \\ $$$$\mathrm{3},\:\mathrm{18},\:\mathrm{45},\:\mathrm{84},\:\mathrm{135}\:... \\ $$

Question Number 12218 Answers: 1 Comments: 3

5!! = ?

$$\mathrm{5}!!\:=\:? \\ $$

Question Number 12209 Answers: 1 Comments: 1

For all n ≥ 1 , n ∈ Z, prove that, p(n) : 4 + 8 + ... + 4n = 2n(n + 1)

$$\mathrm{For}\:\mathrm{all}\:\mathrm{n}\:\geqslant\:\mathrm{1}\:,\:\:\mathrm{n}\:\in\:\mathrm{Z},\:\:\mathrm{prove}\:\mathrm{that},\: \\ $$$$\mathrm{p}\left(\mathrm{n}\right)\::\:\mathrm{4}\:+\:\mathrm{8}\:+\:...\:+\:\mathrm{4n}\:=\:\mathrm{2n}\left(\mathrm{n}\:+\:\mathrm{1}\right) \\ $$

Question Number 12207 Answers: 0 Comments: 0

Multi−point ∮(x)=x^3 well be equal to the values of the function ant its harvest.

Question Number 12197 Answers: 0 Comments: 8

Question Number 12190 Answers: 1 Comments: 0

Show that, 0.9999999999999 ...... ∞ is equal to 1

$$\mathrm{Show}\:\mathrm{that},\:\:\mathrm{0}.\mathrm{9999999999999}\:......\:\infty\:\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{1} \\ $$

Question Number 12189 Answers: 1 Comments: 0

Find the fraction to the below deimal 4.4444444444444....... ∞

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{fraction}\:\mathrm{to}\:\mathrm{the}\:\mathrm{below}\:\mathrm{deimal} \\ $$$$\mathrm{4}.\mathrm{4444444444444}.......\:\infty \\ $$

Question Number 12185 Answers: 1 Comments: 0

A particle is moving with velocity v=K(yi^ +xj^ ) prove that y^2 =x^2 +constant

$$\mathrm{A}\:\mathrm{particle}\:\mathrm{is}\:\mathrm{moving}\:\mathrm{with}\:\mathrm{velocity} \\ $$$${v}={K}\left({y}\hat {{i}}+{x}\hat {{j}}\right) \\ $$$${prove}\:{that} \\ $$$${y}^{\mathrm{2}} ={x}^{\mathrm{2}} +{constant} \\ $$

Question Number 12201 Answers: 3 Comments: 0

∫(1/(sin(x)))dx

$$\int\frac{\mathrm{1}}{{sin}\left({x}\right)}{dx} \\ $$

Question Number 12291 Answers: 1 Comments: 0

Pg 1956 Pg 1957 Pg 1958 Pg 1959 Pg 1960 Pg 1961 Pg 1962 Pg 1963 Pg 1964 Pg 1965

Contact: info@tinkutara.com