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Questions in Grade College

[Done] Prove the following equation by using the method of this example. [tex]\tanh ^{-1}(x)=\frac{1}{2} \ln \left(\frac{1+x}{1-x}\right) \quad-1

[Done] Which option is being utilized when the insurer accumulates dividends at interest and then uses the accumulated dividends, plus interest, and the policy cash value to pay the policy up early? A. Paid-up additions B. Paid-up option C. Accumulation at interest D. Dividend accumulation option

[Done] Differentiate. [tex]f(x)=\ln \left(\frac{x^2-10}{x}\right)[/tex] [tex]f^{\prime}(x)=[/tex]

[Done] $\frac{(m+n)^2}{m^2-n^2}+\frac{m^2+m n}{n^2-m n}$

[Done] What proportion of global maternal deaths occurred in LMICs in 2020? A. 55 percent B. 75 percent C. 95 percent

[Done] Which statement best describes how globalization is affecting the world? A. Globalization is growing less important as time passes. B. The world is becoming more globalized and connected. C. Globalization has resulted in fewer connections among countries. D. Countries are growing less likely to trade with one another.

[Done] Autocratic leaders encourage group participation in decision-making. A. True B. False

[Done] Which chemical or physical change is an exothermic process? A. the baking of cookies B. a glass C. the combustion of gasoline D. the evaporation of water from a pool E. the cold pack reaction [tex]$\left( NH _4 NO _3+ H _2 O +\right.$[/tex] heat [tex]$\rightarrow NH _4 OH + HNO _3$[/tex] )

[Done] Find an equation for the tangent line to the following curve, [tex]$h(x)=18 x-2 \ln x$[/tex]

[Done] Determine whether the following function has a maximum, a minimum, or neither. If it has either a maximum or a minimum, find what that value is and where it occurs. Reduce all fractions to lowest terms. [tex]f(x)=13 x-2[/tex]