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Find derivatives of using multiple formulae

Version B\newline77. Solve \newline△ABC\triangle ABC using the diagram and the given measurements. (The triangle is not drawn to scale.) Round answers to the nearest tenth. \newlineA=44∘A=44^\circ, a=7a=7\newline88. Find one positive angle and one negative angle that is coterminal with \newline−118∘-118^\circ.\newline(11 pt each)\newlinePositive Angle: \newline\quad Negative Angle: \newline\quad\newline99. Which pair of angles is coterminal?\newline\quad ( 22 pts)\newlineA. \newline30∘\quad30^\circ and \newline−30∘-30^\circ\newlineC. \newline−330∘\quad-330^\circ and \newline−30∘-30^\circ\newlineB. \newline30∘\quad30^\circ and \newlineA=44∘A=44^\circ22\newlineD. None of the Above\newline1010. Convert \newlineA=44∘A=44^\circ33 to radians.\newline\quad (22pts)\newlineA. \newlineA=44∘A=44^\circ55\newlineC. \newlineA=44∘A=44^\circ66\newlineB.\newlineA=44∘A=44^\circ77\newlineD.\newlineA=44∘A=44^\circ88
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Проводится ПФЈ 23 2^{3} для установления зависимости отклика от указанных факторов (таблица по № варианта x1,x2,x3 \mathrm{x}_{1}, \mathrm{x}_{2}, \mathrm{x}_{3} - факторы, yi \mathrm{y}_{\mathrm{i}} -отклик, і-число повторений оныта). Требуется:\newline11. опрелелить основной уровень и интерналы нарьирования факторов\newline22. перейти от натуральных переменных к кодированным\newline33. получить линейное уравнение регрессии y^=b0+b1x1+b2x2+b3x3 \hat{y}=b_{0}+b_{1} x_{1}+b_{2} x_{2}+b_{3} x_{3} (если это возможно)\newline44. получить уравнение вида y^=b0+b1,2x1x2+b2,2x22 \hat{y}=b_{0}+b_{1,2} x_{1} x_{2}+b_{2,2} x_{2}^{2} (если это возможно) в кодированных и натуральных переменных\newline55. получить кналратичное уравнение регрессии (если это возможно) в кодированных и натуральных переменных\newline66. получить уравнение y^=b0+b1x1+b2x2+b1,1x12 \hat{y}=b_{0}+b_{1} x_{1}+b_{2} x_{2}+b_{1,1} x_{1}^{2} (если это возможно) в кодированных и натуральных переменных\newline77. проверить гипотезу о воспроизводимости эксперимента при уровне значимости α=0,05 \alpha=0,05 \newline88. проверить алекнатность уравнения регрессии при уровне значимости α=0,05 \alpha=0,05 (лля пункюов 3,4,5,6 3,4,5,6 )\newlineВариант 1010\newline\begin{tabular}{|c|c|c|c|c|c|c|c|c|}\newline\hlinex1 x_{1} & 00 & 00 & 00 & 00 & 2525 & 2525 & 2525 & 2525 \\\newline\hlinex1,x2,x3 \mathrm{x}_{1}, \mathrm{x}_{2}, \mathrm{x}_{3} 00 & 1010 & 1010 & 3030 & 3030 & 1010 & 1010 & 3030 & 3030 \\\newline\hlinex1,x2,x3 \mathrm{x}_{1}, \mathrm{x}_{2}, \mathrm{x}_{3} 11 & 11 & 99 & 11 & 99 & 11 & 99 & 11 & 99 \\\newline\hlinex1,x2,x3 \mathrm{x}_{1}, \mathrm{x}_{2}, \mathrm{x}_{3} 22 & 1111 & 1010 & 1515 & 1212 & 1313 & 1818 & 1717 & 2020 \\\newline\hlinex1,x2,x3 \mathrm{x}_{1}, \mathrm{x}_{2}, \mathrm{x}_{3} 33 & 1313 & 99 & 1414 & 1313 & 1414 & 2020 & 1919 & 2020 \\\newline\hlinex1,x2,x3 \mathrm{x}_{1}, \mathrm{x}_{2}, \mathrm{x}_{3} 44 & 88 & 1111 & 1414 & 1111 & 1414 & 2020 & 1818 & 1818 \\\newline\hlinex1,x2,x3 \mathrm{x}_{1}, \mathrm{x}_{2}, \mathrm{x}_{3} 55 & 1414 & 99 & 1616 & 1313 & 1212 & 1616 & 1616 & 2222 \\\newline\hlinex1,x2,x3 \mathrm{x}_{1}, \mathrm{x}_{2}, \mathrm{x}_{3} 66 & 88 & 1111 & 1414 & 1111 & 1414 & 2020 & 1818 & 1818 \\\newline\hline\newline\end{tabular}
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UNIVERSITY OF THEPUNJAB\newlineB.S. 44 Years Program / First Semester-Fall 20222022\newlineRoll N\newlineRoll.....\newlineTime: 33\newlineCalculus - 11\newlineCourse Code: MATH−1001-1001\newlineTHE ANSWERS MUST BE ATTEMPTED ON THE ANSWER SHEET PROVIDE\newlineQ.11. Solve the following:\newline(66\times55=3030)\newline\newline(i)\newlineReplace the polar equation by equivalent Cartesian equations, and identify the\newlinegraphs. \newliner=42cos⁡θ−sin⁡θr=\frac{4}{2\cos \theta-\sin \theta}\newline\newline(ii)\newlineEvaluate the integral \newline∫r21−t2dr=?\int\frac{r^{2}}{\sqrt{1-t^{2}}}dr=?\newline\newline(iii)\newlineFind the values of \newlinexx for which \newlinef(x)f(x) is continuous: \newlinef(x)=x4+205x(x−2)f(x)=\frac{x^{4}+20}{5x(x-2)}.\newline\newline(iv)\newlineFind derivative of \newlinef(x)f(x) if \newlinef(x)=(sin⁡x1+cos⁡x)2f(x)=\left(\frac{\sin x}{1+\cos x}\right)^{2}.\newline\newline(v)\newlineSolve : \newlinelim⁡x→0(1sin⁡x−1x)\lim_{x \to 0}\left(\frac{1}{\sin x}-\frac{1}{x}\right).\newline\newline(vi)\newlineFind \newlinedydx\frac{dy}{dx} if \newliney=∫1x2cos⁡tdty=\int_{1}^{x^{2}}\cos tdt.\newline\newlineSolve the following:\newline(55\times66=3030)\newline\newlineQ. 22\newlineEvaluate the integral \newline∫r21−t2dr=?\int\frac{r^{2}}{\sqrt{1-t^{2}}}dr=?00.\newlineQ. 33\newlineFind the intervals on which the function \newline∫r21−t2dr=?\int\frac{r^{2}}{\sqrt{1-t^{2}}}dr=?11 is increasing and decreasing\newlineQ. 44\newlineFind the area enclosed by parabola \newline∫r21−t2dr=?\int\frac{r^{2}}{\sqrt{1-t^{2}}}dr=?22 and the line \newline∫r21−t2dr=?\int\frac{r^{2}}{\sqrt{1-t^{2}}}dr=?33.\newlineQ. 55\newlineFind \newline∫r21−t2dr=?\int\frac{r^{2}}{\sqrt{1-t^{2}}}dr=?44 of \newline∫r21−t2dr=?\int\frac{r^{2}}{\sqrt{1-t^{2}}}dr=?55.\newlineQ. 66\newlineSolve the integral \newline∫r21−t2dr=?\int\frac{r^{2}}{\sqrt{1-t^{2}}}dr=?66.
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UNIVERSITY OF THEPUNJAB\newlineB.S. 44 Years Program / First Semester-Fall 20222022\newlineRoll N\newlineRoll\newlineTime: 33\newlineCalculus - 11\newlineCourse Code: MATH−1001-1001\newlineTHE ANSWERS MUST BE ATTEMPTED ON THE ANSWER SHEET PROVIDEI\newlineQ.11. Solve the following:\newline(6×5=30) (6 \times 5=30) \newline\begin{tabular}{|l|l|}\newline\hline (i) & \begin{tabular}{l} \newlineReplace the polar equation by equivalent Cartesian equations, and identify the \\\newlinegraphs. r=42cos⁡θ−sin⁡θ \mathrm{r}=\frac{4}{2 \cos \theta-\sin \theta} \newline\end{tabular} \\\newline\hline (ii) & Evaluate the integral ∫r21−r2dr=? \int \frac{r^{2}}{\sqrt{1-r^{2}}} d r=? \\\newline\hline (iii) & Find the values of x \mathrm{x} for which f(x) \mathrm{f}(\mathrm{x}) is continuous: f(x)=x4+205x(x−2) f(x)=\frac{x^{4}+20}{5 x(x-2)} . \\\newline\hline (iv) & Find derivative of f(x) \mathrm{f}(\mathrm{x}) if :f(x)=(sin⁡x1+cos⁡x)2 : f(x)=\left(\frac{\sin x}{1+\cos x}\right)^{2} . \\\newline\hline (v) & Solve: lim⁡x→0(1sin⁡x−1x) \lim _{x \rightarrow 0}\left(\frac{1}{\sin x}-\frac{1}{x}\right) . \\\newline\hline (vi) & Find dydx \frac{d y}{d x} if y=∫1x2cos⁡tdt y=\int_{1}^{x^{2}} \cos t d t . \\\newline\hline\newline\end{tabular}\newlineSolve the following:\newline∫r21−r2dr=? \int \frac{r^{2}}{\sqrt{1-r^{2}}} d r=? 00\newline\begin{tabular}{|l|l|}\newline\hline Q. 22 & Evaluate the integral ∫r21−r2dr=? \int \frac{r^{2}}{\sqrt{1-r^{2}}} d r=? 11. \\\newline\hline Q. 33 & Find the intervals on which the function ∫r21−r2dr=? \int \frac{r^{2}}{\sqrt{1-r^{2}}} d r=? 22 is increasing and decreasing. \\\newline\hline Q. 44 & Find the area enclosed by parabola ∫r21−r2dr=? \int \frac{r^{2}}{\sqrt{1-r^{2}}} d r=? 33 and the line ∫r21−r2dr=? \int \frac{r^{2}}{\sqrt{1-r^{2}}} d r=? 44. \\\newline\hline Q. 55 & Find ∫r21−r2dr=? \int \frac{r^{2}}{\sqrt{1-r^{2}}} d r=? 55 of ∫r21−r2dr=? \int \frac{r^{2}}{\sqrt{1-r^{2}}} d r=? 66. \\\newline\hline Q. 66 & Solve the integral ∫r21−r2dr=? \int \frac{r^{2}}{\sqrt{1-r^{2}}} d r=? 77. \\\newline\hline\newline\end{tabular}
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2323 gram sodyum elementi mm gram su ile etkileşime girerek 4040 gram kostik ve 11 gram hidrojen gazı oluşturmaktadır. Buna göre, mm değeri kaçtır?\newlineA) 1212\newlineB) 1818\newlineC) 4141\newlineD) 6464\newlineE) 7575
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Algebea 22\newlineName\newlineDamie Faidriy\newline1010: 11\newlineRational Expressions / Equations QUVZ\newlineDeve 5131202451312024 Ferios 88\newline11) p2−6p−27p2−17p+72 \frac{p^{2}-6 p-27}{p^{2}-17 p+72} \newlineA) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} \newlineB) 9p2p+8;{1,−8} \frac{9 p^{2}}{p+8} ;\{1,-8\} \newlineC) p(p+1)5p+6;(−65) \frac{p(p+1)}{5 p+6} ;\left(-\frac{6}{5}\right) \newlineD) p+3p−8;{9,8} \frac{p+3}{p-8} ;\{9,8\} \newlineSimplify each expression.\newline22) 2b+1+3b−5 \frac{2}{b+1}+\frac{3}{b-5} \newline33) 6n−2−5n+3 \frac{6}{n-2}-\frac{5}{n+3} \newlineA) 18b+5−2b26b(b−1) \frac{18 b+5-2 b^{2}}{6 b(b-1)} \newlineA) 25−4n3+12n210n \frac{25-4 n^{3}+12 n^{2}}{10 n} \newlineB) 23b+5−4b26b(b−1) \frac{23 b+5-4 b^{2}}{6 b(b-1)} \newlineB) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} 00\newlineC) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} 11\newlineC) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} 22\newlineD) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} 33\newlineD) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} 44\newline44) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} 55\newlineA) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} 66\newlineB) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} 77\newlineC) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} 88\newlineD) p−8p+3;{9,−3} \frac{p-8}{p+3} ;\{9,-3\} 99\newline55) 9p2p+8;{1,−8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 00\newlineA) 99\newlineB) 9p2p+8;{1,−8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 11\newlineC) 9p2p+8;{1,−8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 22\newlineD) 9p2p+8;{1,−8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 33\newline9p2p+8;{1,−8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 44
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Algebra 22\newlineName\newlineDamie Taidrik\newlineID: 11\newlineRational Expressions / Equations QUIZ\newlineDate \newline55//33//20242024 Period 88\newlinep2−6p−27p2−17p+72\frac{p^{2}-6p-27}{p^{2}-17 p+72}\newlineA) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}\newlineB) \newline9p2p+8;{1,−8}\frac{9p^{2}}{p+8};\{1,-8\}\newlineC) \newline7(p+1)5p+6;{−65}\frac{7(p+1)}{5p+6};\left\{-\frac{6}{5}\right\}\newlineD) \newlinep+3p−8;{9,8}\frac{p+3}{p-8};\{9,8\}\newlineSimplify each expression.\newline22) \newline2b+1+3b−5\frac{2}{b+1}+\frac{3}{b-5}\newlineA) \newline18b+5−2b26b(b−1)\frac{18 b+5-2b^{2}}{6b(b-1)}\newlineB) \newline23b+5−4b26b(b−1)\frac{23 b+5-4b^{2}}{6b(b-1)}\newlineC) \newline15b+5−2b26b(b−1)\frac{15 b+5-2b^{2}}{6b(b-1)}\newline33) \newline6n−2−5n+3\frac{6}{n-2}-\frac{5}{n+3}\newlineA) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}00\newlineB) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}11\newlineD) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}22\newlineC) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}33\newlineD) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}44\newline44) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}55\newline55) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}66\newlineA) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}77\newlineB) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}88\newlineA) 99\newlineB) \newlinep−8p+3;{9,−3}\frac{p-8}{p+3};\{9,-3\}99\newlineC) \newline9p2p+8;{1,−8}\frac{9p^{2}}{p+8};\{1,-8\}00\newlineD) \newline9p2p+8;{1,−8}\frac{9p^{2}}{p+8};\{1,-8\}11\newlineC) \newline9p2p+8;{1,−8}\frac{9p^{2}}{p+8};\{1,-8\}22\newlineD) \newline9p2p+8;{1,−8}\frac{9p^{2}}{p+8};\{1,-8\}33
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Calculate the ratio for tan⁡16∘ \tan 16^{\circ} in the triangle to the right. Do not use the trigonometric function keys on a calculator.\newlineWhich ratio is used to calculate tan⁡16∘ \boldsymbol{\operatorname { t a n }} 16^{\circ} ?\newlineA. tan⁡16∘=2425 \tan 16^{\circ}=\frac{24}{25} \newlineB. tan⁡16∘=725 \tan 16^{\circ}=\frac{7}{25} \newlineC. tan⁡16∘=724 \tan 16^{\circ}=\frac{7}{24} \newlineD. tan⁡16∘=247 \tan 16^{\circ}=\frac{24}{7}
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