ALL Problems

Topic	Problem	Solution
None	$2 5$ points An atom of uranium-235 (of…	Since momentum is conserved, we have $m_{Th} v_{Th} = m_{He} v_{He}$ .
None	find the zeros of $3 x^{2} + 13 x - 10 = 0$	$Δ = b^{2} - 4 a c$
None	$7^{3 x - 6} + 100 = 101$	$7^{3 x - 6} = 1$
None	If the central angle whose measure \( 110^{\circ}…	$Central angle = 110^{\circ}$
None	$0 \div 9 =$ $\frac{0}{6} =$	$\frac{0}{9} = 0$
None	A bag with 8 marbles has 4 fed -marbles, 3 bluo f…	1. Calculate total number of marbles: 4 red + 3 blue + 1 yellow = 8
None	Solve and graph the solution: \[ \|3 x+4\| \geq 13 …	1. $3 x + 4 \geq 13$ or $3 x + 4 \leq - 13$
None	Write the number in standard (decimal) notation: …	$9.73 \times 10^{- 2}$
None	Write the number in scientific notation: \[ 0.091…	$0.0913 = 9.13 \times 10^{- 2}$
None	$\int (\sqrt[3]{x} \cdot \sqrt[2]{x}) x d x$	$= \int (x^{\frac{1}{3}} \cdot x^{\frac{1}{2}}) d x$
None	A number $b$ is at most 18 .	$b \leq 18$
None	If a $15 kg$ ball takes 54 seconds …	1. $t = 54 s$
None	Roll two dice virtually (by calculator: [APP] 10.…	Roll the two dice virtually for $n$ times, where $n = 36, 50, 100, 1000, 10000$ . Record the…
None	Find the equation of the tangent line to \( g(x)=…	$g^{'} (x) = 3 x^{2}$
None	A particle moves according to the equation \( x=1…	$v (t) = \frac{d x}{d t} = 144 t^{8}$
None	The position of a particle moving along $x$ a…	$x (t) = t^{3} + 8 t^{2} + 35$
None	[2] \( \int\left(4 \sqrt{x}+\frac{8}{\sqrt{x}}\ri…	$\int (4 \sqrt{x} + \frac{8}{\sqrt{x}}) d x = \int (4 x^{\frac{1}{2}} + 8 x^{- \frac{1}{2}}) d x$
None	Find the surface area of the surface generated by…	\int_{0}^{1} 2\pi y \sqrt{1+{\left( \frac{dy}{dx} \right)}^2} dx
None	$_{7}^{14} N$ How many neutrons …	$N - Z$
None	$_{6}^{13} C$ What is the atomic mass of t…	$_{6}^{13} C$

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