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Questions in Grade College

[Done] Find the area bounded by the following functions: [tex] \begin{array}{c} y=\sqrt{x} \\ y=x-2 \\ y=0 \\ \text { Area }=[?] \\ \end{array} [/tex] Round your answer to the nearest thousandth.

[Done] What is the image of point $A(4,2)$ after the composition of transformations defined by $R_{90^{\circ}} \circ r_{y=x}$? 1) $(-4,2)$ 2) $(4,-2)$ 3) $(-4,-2)$ 4) $(2,-4)$

[Done] Fill in the missing values to make the equations true. (a) [tex]$\log _2 5+\log _2 11=\log _2 \square$[/tex] (b) [tex]$\log _5 9-\log _5 \square=\log _5 \frac{9}{11}$[/tex] (c) [tex]$\log _9 25=\square \log _9 5$[/tex]

[Done] Which statements are TRUE? A. The rationalists believe that knowledge solely comes from reason and not based on sense-experiences. B. Rationalism is a school of thought which argues that our knowledge is innate, which means that we already have it at birth or even in our previous life. C. Empiricism is a school of thought which contends that our mind is empty at birth ("tabula rasa"), and that we gain knowledge through sensations: of seeing, hearing, smelling, tasting, and touching. D. Monism is a school of thought in metaphysics which contends that there is only one reality, either material or spiritual (non-material). E. Dualism is a school of thought in metaphysics which argues that there are two realities: the material and spiritual (body and soul, the physical reality & God, etc.). F. Nihilism is a school of thought in metaphysics which contends that there are multiple realities.

[Done] Nativism is the belief that: A. Certain knowledge or abilities are innate B. Knowledge is gained only through experience C. Knowledge is shaped entirely by culture D. Learning depends on sensory input

[Done] The volume of a rectangular prism is $(x^4+4 x^3+3 x^2+8 x+4)$, and the area of its base is $(x^3+3 x^2+8)$. If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? A. $x+1-\frac{4}{x^4+4 x^3+3 x^2+8 x+4}$ B. $x+1+\frac{4}{x^4+4 x^3+3 x^2+8 x+4}$ C. $x+1-\frac{4}{x^3+3 x^2+8}$ D. $x+1+\frac{4}{x^3+3 x^2+8}$

[Done] For [tex]$f(x)=6 x-5$[/tex] and [tex]$g(x)=3 x^2-4$[/tex] find the following. a. [tex]$(f \circ g)(x)$[/tex] b. [tex]$(g \circ f)(x)$[/tex] c. [tex]$(f \circ g)(2)$[/tex] a. What is [tex]$(f \circ g)(x)$[/tex]? [tex]$(f \circ g)(x)=[/tex] $\square$ (Simplify your answer.) b. What is [tex]$(g \circ f)(x)$[/tex]? [tex]$(g \circ f)(x)=[/tex] $\square$ (Simplify your answer.) c. What is [tex]$(f \circ g)(2)$[/tex]? [tex]$(f \circ g)(2)=[/tex] $\square$ (Simplify your answer.)

[Done] Which of the following is TRUE of electricity? A. It occupies space, but has no mass. B. It has mass, but occupies no space. C. It occupies space and has mass. D. It does not occupy space or have mass.

[Done] The part of the plant that functions in elevating the leaves, fruits, and flowers is called the A. pistil B. hull C. root D. stem

[Done] Which one of the following is a benefit of poaching chicken breasts? A. It adds color. B. It breaks down fat. C. It retains the shape. D. It enhances the aroma.