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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

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

Question Number 89719 Answers: 0 Comments: 0

find ∫_1 ^(+∞) ((arctan(ln(x)))/(4+x^2 ))dx

$${find}\:\int_{\mathrm{1}} ^{+\infty} \:\frac{{arctan}\left({ln}\left({x}\right)\right)}{\mathrm{4}+{x}^{\mathrm{2}} }{dx} \\ $$

Question Number 89718 Answers: 0 Comments: 0

let f(x)=(√(2x+1))−(√(2x−1)) find f^((n)) by recurence

$${let}\:{f}\left({x}\right)=\sqrt{\mathrm{2}{x}+\mathrm{1}}−\sqrt{\mathrm{2}{x}−\mathrm{1}} \\ $$$${find}\:{f}^{\left({n}\right)} \:{by}\:{recurence} \\ $$

Question Number 89717 Answers: 1 Comments: 0

let f(x)=2x−(√(x−1)) find ∫ ((f^(−1) (x))/(f(x)))dx

$${let}\:\:{f}\left({x}\right)=\mathrm{2}{x}−\sqrt{{x}−\mathrm{1}} \\ $$$${find}\:\int\:\:\:\frac{{f}^{−\mathrm{1}} \left({x}\right)}{{f}\left({x}\right)}{dx}\:\: \\ $$

Question Number 89716 Answers: 0 Comments: 0

calculate A_n =∫_0 ^∞ e^(−n[x]) sin((([x])/n))dx find nature of Σ n^2 A_n

$${calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{n}\left[{x}\right]} \:{sin}\left(\frac{\left[{x}\right]}{{n}}\right){dx} \\ $$$${find}\:{nature}\:{of}\:\Sigma\:{n}^{\mathrm{2}} \:{A}_{{n}} \\ $$

Question Number 89714 Answers: 1 Comments: 1

calculate ∫_0 ^∞ (dx/((1+(√(2+x^2 )))^2 ))

$${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dx}}{\left(\mathrm{1}+\sqrt{\mathrm{2}+{x}^{\mathrm{2}} }\right)^{\mathrm{2}} } \\ $$

Question Number 89712 Answers: 0 Comments: 1

Question Number 89702 Answers: 1 Comments: 0

3^(2t+1) +3^(t+2) =((10)/3)

$$\mathrm{3}^{\mathrm{2}{t}+\mathrm{1}} +\mathrm{3}^{{t}+\mathrm{2}} =\frac{\mathrm{10}}{\mathrm{3}} \\ $$

Question Number 89687 Answers: 1 Comments: 3

x^3 +x−16=0

$${x}^{\mathrm{3}} +{x}−\mathrm{16}=\mathrm{0} \\ $$

Question Number 89698 Answers: 1 Comments: 4

hi everyone what is the definition of the tangent straight line to the curve without relying to the derivitve because the derivative is the slope and thanx for all

$${hi}\:{everyone} \\ $$$${what}\:{is}\:{the}\:{definition}\:{of}\:{the}\:{tangent} \\ $$$${straight}\:{line}\:{to}\:{the}\:{curve}\:{without}\:{relying} \\ $$$${to}\:\:{the}\:{derivitve}\: \\ $$$${because}\:{the}\:{derivative}\:{is}\:{the}\:{slope} \\ $$$${and}\:{thanx}\:{for}\:{all} \\ $$

Question Number 89668 Answers: 1 Comments: 1

what is the first three smallest positive integer that leaves a reminder of 1. when divided by 3 and 5 qnd 7?

$${what}\:{is}\:{the}\:{first}\:{three}\:{smallest}\:{positive}\: \\ $$$${integer}\:{that}\:{leaves}\:{a}\:{reminder}\:{of}\:\mathrm{1}.\:{when} \\ $$$${divided}\:{by}\:\mathrm{3}\:{and}\:\mathrm{5}\:{qnd}\:\mathrm{7}? \\ $$

Question Number 89666 Answers: 0 Comments: 0

tentukan solusi umum dari persamaan diferensial parsial berikut ini 7u_x +3u_y +u=x+y

$${tentukan}\:{solusi}\:{umum}\:{dari}\:{persamaan}\:{diferensial}\:{parsial}\:{berikut}\:{ini}\:\mathrm{7}{u}_{{x}} +\mathrm{3}{u}_{{y}} +{u}={x}+{y} \\ $$

Question Number 89662 Answers: 1 Comments: 0

Given that sin A=(1/2) and sin C=((√3)/2) without u using calculator solve a) tan (A+C) b) cos(A−C)

$${Given}\:{that}\:\mathrm{sin}\:{A}=\frac{\mathrm{1}}{\mathrm{2}}\:{and}\:\mathrm{sin}\:{C}=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\:{without}\:{u} \\ $$$${using}\:{calculator}\:{solve} \\ $$$$\left.{a}\right)\:\mathrm{tan}\:\left({A}+{C}\right) \\ $$$$\left.{b}\right)\:{cos}\left({A}−{C}\right) \\ $$

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