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Questions in Grade College

[Free] Use logarithmic differentiation to find the derivative of the function. $y=\left(x^5+2\right)^2\left(x^4+4\right)^4$ $y^{\prime}(x)=$ $\square$

[Free] Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona's circle? A. $7 \pi m^2$ B. $14 \pi m^2$ C. $28 \pi m^2$ D. $49 \pi m^2$

[Free] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Free] {Continued from the previous question} A botanist used a completely randomized design to allocate 45 individually potted eggplant plants to five different soil treatments. The observed variable was the total plant dry weight without roots (g) after 31 days of growth. The treatment means were as shown in the table. The [tex]$SS _{ E }\left(= SS _{\text {within }}\right)$[/tex] of this dataset was 8.9840. | | A | B | C | D | E | | :---- | :---- | :---- | :---- | :---- | :---- | | Mean | 4.37 | 4.76 | 3.70 | 5.41 | 5.38 | | [tex]$n$[/tex] | 9 | 9 | 9 | 9 | 9 | (c) What's the Tukey's critical value at alpha [tex]$=0.05$[/tex] for this problem? Use the Tukey table shown in class. (d) Next, use the Tukey's table value to calculate the "critical" value for pairwise mean comparison. A. 4.04; 0.6382 B. [tex]$3.79 ; 0.2246$[/tex] C. [tex]$4.23 ; 0.3478$[/tex] D. [tex]$4.04 ; 0.1008$[/tex]

[Free] What does the biblical commandment to "love your neighbor as yourself" demonstrate, according to Freud? A. That humans are aggressive. B. That education is the key to overcoming hate. C. That religion is the path to true community. D. That humans are naturally loving.

[Free] Simplify. $\sqrt{63}$ = ? $\sqrt{}$

[Free] Which of the following best describes how HMO eligibility is divided? A. By preferred physician availability B. By household income C. By health history D. By geographic boundaries

[Free] Solve the equation for the given variable: [tex]$-20 x+8=-2 x+15$[/tex] If your answer is a fraction, write it in fraction form and reduce it completely. Do NOT convert to decimals. Answer: [tex]$x=$[/tex] $\square$

[Free] A rectangle has an area of 40 square units. The length is 6 units greater than the width. What are the dimensions of the rectangle? A. 8 by 5 B. 10 by 4 C. 11 by 9 D. 13 by 7

[Free] Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a maximum of 150 feet of fencing. The system of inequalities that models the possible lengths, [tex]$l$[/tex], and widths, [tex]$w$[/tex], of her garden is shown. [tex] \begin{aligned} w & \geq 10 \\ 2 l+2 w & \leq 150 \end{aligned} [/tex] Which length and width are possible dimensions for the garden? A. [tex]$l=20 ft ; w=5 ft$[/tex] B. [tex]$l=20 ft ; w=10 ft$[/tex] C. [tex]$l=60 ft ; w=20 ft$[/tex] D. [tex]$I=55 ft ; w=30 ft$[/tex]