Question Number 156339 by lapache last updated on 10/Oct/21 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{2}{n}} }{{arcsinx}}{dx}=…??? \\ $$ Answered by ArielVyny last updated on 10/Oct/21 $${t}={arcsinx}\rightarrow{sint}={x} \\ $$$$\int_{\mathrm{0}}…
Question Number 25254 by NECx last updated on 07/Dec/17 $${A}\:{charged}\:{sphere}\:{of}\:{mass}\:\mathrm{3}×\mathrm{10}^{−\mathrm{4}} {kg}\:{is} \\ $$$${suspended}\:{from}\:{a}\:{string}.{An} \\ $$$${electrical}\:{force}\:{acting}\:{horizontally} \\ $$$${on}\:{the}\:{sphere}\:{so}\:{that}\:{the}\:{string} \\ $$$${makes}\:{an}\:{angle}\:\mathrm{37}°\:{with}\:{the}\:{vertical} \\ $$$${when}\:{at}\:{rest}.\:{Find} \\ $$$$\left.{a}\right){magnitude}\:{of}\:{the}\:{electric}\:{force} \\ $$$$\left.{b}\right){the}\:{tension}\:{in}\:{the}\:{string}.…
Question Number 25252 by NECx last updated on 07/Dec/17 $${The}\:{mass}\:{of}\:{earth}\:{is}\:\mathrm{5}.\mathrm{98}×\mathrm{10}^{\mathrm{24}} {kg}. \\ $$$${If}\:{the}\:{earth}'{s}\:{gravitational}\:{force} \\ $$$${causes}\:{a}\:\mathrm{60}{kg}\:{student}\:{to}\:{accelerate} \\ $$$${downwards}\:{at}\:\mathrm{9}.\mathrm{8}{m}/{s}^{\mathrm{2}} .{Calculate} \\ $$$${the}\:{upward}\:{acceleration}\:{of}\:{the} \\ $$$${earth}\:{resulting}\:{from}\:{the}\:{student}'{s} \\ $$$${gravitational}\:{reaction}\:{force}\:{actinv} \\…
Question Number 25253 by NECx last updated on 07/Dec/17 $${A}\:\mathrm{100}{kg}\:{man}\:{lowers}\:{himself}\:{to} \\ $$$${the}\:{ground}\:{from}\:{a}\:{height}\:{of}\:\mathrm{10}{m} \\ $$$${by}\:{means}\:{of}\:{a}\:{rope}\:{passed}\:{over}\:{a} \\ $$$${frictionless}\:{pulley}\:{and}\:{the}\:{other} \\ $$$${end}\:{attached}\:{to}\:{a}\:\mathrm{70}{kg}\:{sandbag}. \\ $$$$\left.{a}\right){with}\:{what}\:{speed}\:{does}\:{the}\:{man}\: \\ $$$${hit}\:{the}\:{ground}? \\ $$$$\left.{b}\right){could}\:{he}\:{have}\:{done}\:{anything}\:{to} \\…
Question Number 90787 by Maclaurin Stickker last updated on 26/Apr/20 $${Find}\:{the}\:{infinite}\:{sum} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{2}{n}−\mathrm{1}\right)\left(\mathrm{2}{n}+\mathrm{1}\right)\left(\mathrm{2}{n}+\mathrm{3}\right)} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 25230 by naka3546 last updated on 06/Dec/17 $${Let}\:\:{X}\:\:{is}\:{natural}\:\:{number}\:. \\ $$$${Multification}\:\:{of}\:\:{its}\:\:{digits}\:\:{is}\:\:{X}^{\mathrm{2}} \:−\:\mathrm{97}{X}\:+\:\mathrm{2020}\:. \\ $$$${Find}\:\:{the}\:\:{value}\:\:{of}\:\:{X}_{{maximum}} \:\:+\:\:{X}_{{minimum}} \:\:. \\ $$ Answered by Rasheed.Sindhi last updated on…
Question Number 156281 by SANOGO last updated on 09/Oct/21 $$\int_{−\mathrm{3}} ^{\mathrm{5}} \:\sqrt{\mid{x}\mid^{\mathrm{3}} }{dx} \\ $$ Answered by MathsFan last updated on 09/Oct/21 $$\mathrm{28}.\mathrm{596} \\ $$…
Question Number 25188 by lucky singh last updated on 05/Dec/17 $${the}\:{straight}\:{line}\:{x}+{y}=\mathrm{0}\:\: \\ $$$$\mathrm{3}{x}+{y}−\mathrm{4}{i}=\mathrm{0} \\ $$$${and}\:{x}+\mathrm{3}{y}−\mathrm{4}=\mathrm{0}\:{forms}\:{a}\:{triangle}\:{which}\:{triangle}\: \\ $$$${it}\:{is} \\ $$ Commented by prakash jain last updated…
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Question Number 25187 by lucky singh last updated on 05/Dec/17 $${if}\:{in}\:{a}\:{quadratic}\:{eqution}\:{x}^{\mathrm{2}} +{ax}+{b}=\mathrm{0} \\ $$$${and}\:{x}^{\mathrm{2}} +{bx}+{a}=\mathrm{0}\:{have}\:{a}\:{common}\:{root} \\ $$$${then}\:{the}\:{numerical}\:{value}\:{of}\:\left({a}+{b}\right)\:{is} \\ $$ Commented by prakash jain last updated…