Maths-
General
Easy
Question
does not exist Extreme Values; ![cos space invisible function application x plus sin to the power of 4 space x element of](data:image/png;base64,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)
The correct answer is: ![open square brackets 3 over 4 comma 1 close square brackets](data:image/png;base64,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)
Related Questions to study
Maths-
Maths-General
Maths-
The minimum and maximum values of
are
The minimum and maximum values of
are
Maths-General
Maths-
The minimum and maximum values of
are
The minimum and maximum values of
are
Maths-General
Maths-
Maths-General
physics-
A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is
is
![](data:image/png;base64,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)
A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is
is
![](data:image/png;base64,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)
physics-General
physics-
In a sine wave, position of different particles at time
is shown in figure. The equation for this wave travelling along positive
can be
![](data:image/png;base64,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)
In a sine wave, position of different particles at time
is shown in figure. The equation for this wave travelling along positive
can be
![](data:image/png;base64,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)
physics-General
Maths-
The function ![sin space open parentheses x squared close parentheses](data:image/png;base64,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)
is
The function ![sin space open parentheses x squared close parentheses](data:image/png;base64,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)
is
Maths-General
Maths-
The period of the function
where [.] de-notes the greatest integer function, is
The period of the function
where [.] de-notes the greatest integer function, is
Maths-General
Maths-
The period of the function
is
The period of the function
is
Maths-General
Maths-
In any
=
In any
=
Maths-General
Maths-
In
=
In
=
Maths-General
Maths-
In ![straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals](data:image/png;base64,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)
In ![straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals](data:image/png;base64,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)
Maths-General
Maths-
If the period of
is
then n=
If the period of
is
then n=
Maths-General
Maths-
Let
where
where [ ] is the integral part of x. If the period of f(x) is
, then ![a element of](data:image/png;base64,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)
Let
where
where [ ] is the integral part of x. If the period of f(x) is
, then ![a element of](data:image/png;base64,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)
Maths-General
physics-
Which of the following options is correct for the object having a straight line motion represented by the following graph
![](data:image/png;base64,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)
Which of the following options is correct for the object having a straight line motion represented by the following graph
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUQAAAEqCAMAAABaytneAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////fv787Ozubv70JCQgAAABkQGWNrY729vTExMbWtpQgICIyMlIRjnL1jhHMQUnNjEHMQGUpaUpycnFqMpRnOYxmMY4zOY97e1kIZUjoZEBAZWu8QtRlKUu9aOkJrGe8ZOu+cOu9aEO8ZEO+cEO9aY+8ZY++cY1paWnNzc1rv5r1jpVqt5nMxUnNjMXMxGVrO5lqM5r1a773vY73eMb0Z772cMYzvpRBrGb3OY4zOpSEpKb2UnO8Q5u/eOu9Cte+Ute/eEO9rte/eY4wQhObe5hlrUu9ahO8ZhO+chDo6Mb3FvYSEe++U5u9C5u/mre9r5r0QhMXv5u/ehHtjWhkhGYwQpaVrUlJrzlJrhFLvEKUpUlIpzlIphFKtEKVrGRlrzhlrhBnvEKUpGRkpzhkphBmtEJStzoxrzozvEIwpzoytEIwxhKVKUlJKzlJKhFLOEKUIUlIIzlIIhFKMEKVKGRlKzhlKhBnOEKUIGRkIzhkIhBmMEJSMzoxKzozOEIwIzoyMECnvpSmtpQjvpQitpSnOpSmMpQjOpQiMpe+9rcWt5r3vtYStc70Qpb1rzr3vEL0pzr2tEBBKKe+974StnL0xhMWM5r3vlIStUr1Kzr3OEL0Izr2MEBBKCMVrUlJr71Lvc1JrpVLvMcUpUlIp71IppVKtMVKtc72tcynv5imt5sVrGRlr7xlrpRnvMcUpGRkp7xkppRmtMZSt74wxpaXv5lrvtVqttRnvcxmtc4xr74zvMYwp74ytMYzvc1LOc1KMc72Mcwjv5git5oTv5lrOtcVKUlJK71LvUlJKpVLOMcUIUlII71IIpVKMMVKtUr2tUinO5imM5sVKGRlK7xlKpRnOMcUIGRkI7xkIpRmMMZSM76XO5lrvlFqtlBnvUhmtUoxK74zOMYwI74yMMYzvUlLOUlKMUr2MUgjO5giM5oTO5lrOlISMWsWcxe+9zkJCEL0xpRAIMUIQMYRae73OnO//Ou//vQghEMXO70JCWhkICAgAEOb//wAAAEvhpYgAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAARE0lEQVR4Xu2dS3LiOheAsV6WFI3QRPWvQFqDxp44HpI1/PsfpoDUPbJNwsOA7WB3LOujkwvcru5w+ui8JW0SiUQikUgkVg/C7ZPEaJBV7bPEWLBmW9Q+T4yE24NXaUH/DsUoJaZ9kRiF2VJKvW5fJcZQKA9CPNhkFX/BOylLyoSvklUcTaa9U4xU3p5bxcwgzhFHKGvfSDyCO2fefW6UVWdSRM6zT8aYkO0biQdgrfgGMbcxyv1YRaz3H3bn8i0lyeE8B3MO2shyUD51JsRq6wr4r7GUJYfzlAyD1auFmBXm27UUtmyib+6ZTg6nFyDE2oF8i8uUvpVdzs5WeeIBtSaeg3zZ+mXnkxD7cSNEzkgrOuVzMJqJ51wL0Shm26Wd+yppYi/eWX7hPYzzu2Y1F/aYHEs/ONu1zxp4TvRXeILBO7/XbyWewT8uNVFaK2tNNLuPMsSLiedwyFjOAW/SGELNRMpYegKO5UITK1YF/cNKeJeKtT258s44PzqOOAcZVkmGfeHets9qCkuPn8wztkNJhr250kQj89zm1raGMdELEGITFibGc52xJEaQNPEFJE18Ade5c2IE1xlLYgSgiaGsjTN4/JS3E4Pg3lvnqqqCbzoF2ONAYZCEHo9HT2wlf/pViQFwfwhSpD7nBU4iHMe79zkDIR7IWe85MQyIEzkBGVLKrDapCjsK7neZ9pSAIKnfn8/kJHoT4sQiZ7nOCaxqv9NpN8Fw6rRPkhxhbsHHHH0uiyTGgdRCxNxpiHZkDvHOUYAY2/+Z6EdTgChUPcRktBVgG4lLAeMg2ioO53VBDBd6D6aRCZdM4wDaKg4OY3Y179rComZBG9t3Es9oNfEc5EiwjXvNkxj7AUK8qWxjpEmIvlMS05PrWZwGw6s6bLQVT7bxOfzTdYoJ81wEFxNywSTHJ3TYxAYMwWPwMH6vU9j4hKsJiAsK7UoIG0WuUZLjI+5qYk0hQy548I6Pib5xYZAxK4jbQYiPPiT+TS6IrBeekfizyG7vfA5SIfo+EiWHBTzgmny5J0TsZey62KPvnCFdgqM+igoNaSAgcrQow1iybv8fEb36zgXSNsQ7+75hI/wuSVgzWoYHavACeWITT2BelSHggVywZ9jo6Gk/TPw89s5nYKQEpQdGdJ+MGnNxXM9WX7CJfafCIBfchnjHgm1s37pLocR6FLG/Jgawzn2wjU4+6wsaK1Y0Nz9IiCDG95ALHkNK3b7TjSmZWk+WM1CIELnoHQnxjnvYF0T+tOF3DYyYT8R17ZsK98BRm1UJ8XnGcgs2dS7IRM7vLVnk/6fXM8Z8vbevHxDvBG087O8Nkhnbbps2fAUtr7GTsiDGkAtSoUzXbGihPVMGw+9yK9DInhlLB5ALbkGMnoBtbN86A2vhRVmKcg0l3cHe+QwsXejEQLzTMWJbaCsIIas4RgKE+IvlBss1DImyME52o9BZPQe+Bn6jiQEE2ggeRli14rPFHvVY+oFlLt7ANlajWghR8FtNBDDmOQPL6Nxam9TjvfMZGGlrVSVIdTf6jpoxGUsXSGLpQR1XOZQ3LmPpJAzQH71d4aTtC/f28X3YEsNCKti+sxZeYhMbUNgQc/wUApSxfWslvMA7n6iFSEuN5BqKDueAEF8VJBslGKOhjojMuna4vVATjbZb66lY33mBv89YvilkrqSldH3HwbxQEzFXPFxmsL4bIV7onTF4lI1xjJZrW9CvylgChYEAUQrK1nZU2wszllCKCD4asr8V9ZwDrz+NxIBvseta0C+0iSfCgs5XtaBf6J1PmOCho5+OPQeE+PKyPoIFvV/Tgp5AEze49tAr8i0jZnGegytGxYoW9CvjxB84efs+fX8FvE8y21+3CtYTLE5hE4Eip7SMb0Fn8OhgEpsIcEuPF/eHRYHp3kc/kSZuNvqD+ugWtO6+/WwyIYZmQWT12QzZY30e/jWTCRGHDqqLqguNtaeia4p6KpsIhOwvqrspDahFp85NEyfWIPDQMQWLmIeTl0THwBGfcA8oF4djRPXZpiV8umrlnMlsIlCXc+K5DV750jNC2O01NRPaxFN9Ng6zmJmd0JYpHfbbXYXcU2oixFWQ/e3iECLWTmHFZKbym27mtEKEvzWW+qxR2mzUQW6MvskhphXi5p0caBwXmZtwgID6BINoboYHJ7WJoIoSwoIYPDSup4sqBmnf7cn4E8aJNdgdKYmmnKPeGtd87Vhe2XfuglvK9rGE3LUm3vL6vvMVWH7QaC6KPmniFeBYJv6AJpRzmlspl87XXU2c1DsDdTknkmb+fU2cXEmUh+wvCimCJta35V4xvSaGzP1ARRS+pepInIEXTsreJUN1sBiBc6neOmv1c2giBIthQUfgW+5p4uTeOWDq+uzypVi93fHO02YsLTqK+dkvdUcTp85YGopQzll+yA02sds7T5yxtIRxu+WXc+5p4iw2EYhiQbt/lbG0mKq7U7Yo/mHG0sAtPSy9nPPPcucTGBb0YeGbre5o4sSV7XOwg2Bx0R46NKrapxfMFCfWyC09LHvcTr11FiCmmZTtBktGWa9zff8qdzOWuWwiEAYxSOePsRDu5M4z2kRQxWbcrn11jz+cYt/NWGbUxBDy35mfxRnGuPi5b+xP8qXovTixfTYLYdyuc37WaEsIKffVn44kdffs78xCzDhkfx33h2G+P7Cy9Ez86UjyzuD7rDYRKCpPPzrqs9pajQtUMfKXvfcdUc0ZJ9Y05Zzrn6ZQzQnxkokFhkBTTsp2EzZb3XhovPsI/UCsPvaLFOKsNhEwVRi3a1+cwJaFgR0tyk7398eZ2yYC9YK+8nJmS/c750q/jMOQr2z6/JoIazbUZy/+6TAvKftk7LjM7UP/QIgbXFF6afoKLYRECDlmlzi18y+EuOG2zC8ctHGkVk0uPudp+byWf2ATw+qt1MXps2i3b646d37uYOEVzB4nBrgVpLnavIUTW0/TolxUzTuLYqa+8zlG1htQz4UoWeOuVblfRIhz451nNkIYhQuaLjf9YfWWG5xhTtgimzDgWGb9sYv6IpdrITrKyN4Sb7VZoHOe1ztjbKQVLByCfFFnKHTphQf++EbAbIM7S8YgxPn+7TOklZaQ9l0JMVxibIoCFX9bDbHh3R2ieeNEw1HBt0dGKFmk7cu7pw/mmJS94EtRutWCLND2GWV3nfO+c2csmSSUKWPt4jQRc0e8yHXnzvt5vXPY1bJFmVpedle4I6WMiQ6zOHfGEvr3cvMlF9h9NhXzWnZd3TNzxsLdWz3riZZ4sD7/vOM/5s1YwiZyor9CxNi+syCwZneFOKcmhqL2Ess0NaYSdxRuVu8cTjJf7iwOz+2d6ggIcb6Ire7cd8b8CwBr4u40L+bURBQUsTPkXwTK37sOc87KthZ0wZc7ZMoThTqbkTPGieGooSXve+YkbGjq+gDzTcoa7eFnaF8sESNd3n2/43w2kUPSvPztfZ3MZhOxPsZ2suc3c2liXb1ZbJz9hLmEiHMW7wUjMwkRc0+7J+9jYCabiOyB2vf2RXTMEyeG6k3ENzrMMynLQ5wdrQznsYnFoqs3z5nDJoZzcQ5xHNFUc1P2mkMTQ/WmjNarAHMIUYajheK1iHMIEYeTheK+gm56m5jVh9a1L+Jk+jgREXqsolbE6fvORjPq40qaO7zzxH3n+g6/mL0KAI5l0k8YjiCxF/PZETKxdy6CIsbtVQAQ4pRqYmzEZcRvptVEHLxK51EyUTHtpCzP32h8t/fNmzvjn+pN1K5lSu+cQZwdfXgTmDJjqas30XsVYMqMhcdevTkxXcaShYOE4vMqXUxoE5U/xKmIM3pn8Cp0JRffgxCniT7qIbCIm1PnTKaJYbS48x7fCJmqso3dIarbYB8yUZyIddjCt4bwJjDRpGwRmlOxdkln8s7hTu5FjxYPYxqbyO3hGMftm72YRBPDENgqkuaWSYTItwvewjeCKYRodoySFSniJDYxxNmxXLzZRYd3fnmcWJ/rvorqzYkJJmVDcypmRbzl5TYRhy18kdxz35eX28QiDIHpqPtSN7xcExe9MXwkrxZiuKBPxDxaDEyTO//8qViW1FfrsoivsIm4eJcaUKpSzmlFdutJmlt+HydmhiuX70vh2YEKbnTki7mDV/SdseGyOZ/zE1zK2tYy8Jq+c6HKcDznStrMN4BjeYEmym04nZOW60hUpvDOhbYgwjfPoq46PAKE+LvswkglKGU2J3573y3HncH8UhOxCSKkPkfIku47czH+4+ft/p7fTcoiRcArs1yijcl33a16ZG3saeAvNBH8STi8nZH69jPuumdGTMgD4xfiSG+QIechrvGuPpTT8Dtnc2pSMhb9jqpxGQvmioBP9k42WlZ0yzAze6/JZ+QNl3EZC6zkPIiQPLN2hRYlUsfIY58xGQvGkOUd6BuI8Jnf5UTojWMdtx3GxAib2K5kcVrJD8A6/PEVu3d6YyQM9s4YaRL8SXOVz2MyuRfgs7XI494iCUIc9Pkgx4Ow5rDXvQ7Kzn047I/bPhJfDh3eeYgmQmQIashI1Z2cXIGRp6RSlRUk7gmxIZXtU45ne4kw5Cr+wBh7O7DIt7P0jxNxk+OBMex55D1WbKul1Fzlc55D/Q/oPSl7yvH6O1pkD812cSzZIu+w6U0/m4jDHWcHegA/0VcaWeF8OxqG5Vvcszn9bOJVjtcL6b8ncjiL6jTZMd4Zo5453gWFJN8TOcjmUUfbT4WYYZ6HyFCo3iu5Af9cF5KdPY+RZ0IsuCNHSkvHo7Zqv+OxTYQcb8vogcWVcbycR3EixnWOR7d64EpeGw8mZQtZlSBC0n3e/orp7Z0hMgw53tFHXoB5CfdsotF1H693jrdqOjXxp4+3vgmvMXQJsUBViAy9Q2kl96JDiMjVOd5uSI63bq5tIuR4IawZmOOtiw7vfB4n4ibHOw7O8dbNRd8Z86rp46UcbxBnfefQx4M02du1jhn2AGfwCBPVF0saHEsjsizkeAfKyn59vHViKpfnt1emnbyz4a7O8fr18dZJhpRnAXJVj2mEWBhFQmTYt4+3YLLR2xswJxD3vXOkDlcX9NRCBBE2Od4afHKBR6YQyLLmcBCzZZfbJLi3sJLD1PVqqjWIjwo+cE7bJgeW3l+0OzgjVejIi8hnjs5AKldosBiz9z07zQJzwS6kJcFUghrmK8rxwD+Q4cvOuDJvh9JvNFF+gBbmK4sMjRPC6mGL2hBxkhKW4mo5+2bqusCFwQV8b38BJtIHLjZox0KhzwxoQiImTspbKHE5jMDrjnIn+0i/wncPqRmIccAxC+A8TkI0llxeD2wcIWJ9QEQHQhSq/ymZkn1rHxdX0Tas4gsQPMKvs2/xfWGeM/om1Hv/1Rw0sbWDWB3tSo4ofUShS78dWKp6/2hHiwotVnSq4V2MKsVu6ISVsbQMqoi1X91pKx0YCLZ5MWAl10DmzGzlXF6mUiFIw+hxmQXftiWc9vWagTBxnCZhSLolv7eHMZFILJw03ZBYI6HPmNza70BuT4Zdghj3qPwYCuU/PlhzWkRPcCgUtM8TgKlADRHP3RBnhtwCOmczeufC+h38dXzQHgTMnXVp5P4bXAkiB6f8G0j5iUqL+gSu3pgYXkBCljGRNi8AtQiQ24rvbtk5Rip3S1U/lCN1JySJEcAFfGF1zDtUETn/VleYugmtEFofJPEnmdGv6Fp6qvMWv3CUquRXDyn/D1/wJBzMyKy+aPKuFL2vtKrs3dM0vm4ezbubd+tDLyQtZgBrcfy+6HkAfMvK54dArQUslVZDFQpLl2ueepO/wqjBcp+XBSyRMBuUVvIvSRJMJBIxE5+Jm/kTJR+RSCT+EZvNf3GRSMHokLqhAAAAAElFTkSuQmCC)
physics-General