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Evaluate rational exponentsright chevron icon

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Let x2−y2=28 x^{2}-y^{2}=28 .\newlineWhat is the value of d2ydx2 \frac{d^{2} y}{d x^{2}} at the point (8,−6) (8,-6) ?\newlineGive an exact number.
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Posted 3 months ago

Question
Let f(x)=2cos⁡(x2) f(x)=2 \cos \left(\frac{x}{2}\right) .\newlineFind f′′(x) f^{\prime \prime}(x) .\newlineChoose 11 answer:\newline(A) −cos⁡(x2) -\cos \left(\frac{x}{2}\right) \newline(B) −sin⁡(x2) -\sin \left(\frac{x}{2}\right) \newline(C) −8cos⁡(x2) -8 \cos \left(\frac{x}{2}\right) \newline(D) −12cos⁡(x2) -\frac{1}{2} \cos \left(\frac{x}{2}\right)
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Posted 3 months ago

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Last week, the thickness of the ice on a lake increased by 25t+3 \frac{25}{t+3} centimeters per day (where t t is the number of days since the ice first formed).\newlineBy how many centimeters did the thickness of the ice increase between t=0 t=0 and t=4 t=4 ?\newlineChoose 11 answer:\newline(A) 1,000441 \frac{1,000}{441} \newline(B) 10021 \frac{100}{21} \newline(C) 25ln⁡(73) 25 \ln \left(\frac{7}{3}\right) \newline(D) 25ln⁡(4) 25 \ln (4)
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Posted 3 months ago

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What is the area of the region bound by the graphs of f(x)=−x2,g(x)=3x−10 f(x)=-x^{2}, g(x)=3 x-10 , and x=0 x=0 in quadrant IV?\newlineChoose 11 answer:\newline22\newline83 \frac{8}{3} \newline(C) 163 \frac{16}{3} \newline(D) 343 \frac{34}{3}
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Posted 3 months ago

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Let f f be a twice differentiable function, and let f(1)=−7 f(1)=-7 , f′(1)=0 f^{\prime}(1)=0 , and f′′(1)=−2 f^{\prime \prime}(1)=-2 .\newlineWhat occurs in the graph of f f at the point (1,−7) (1,-7) ?\newlineChoose 11 answer:\newline(A) (1,−7) (1,-7) is a minimum point.\newline(B) (1,−7) (1,-7) is a maximum point.\newline(C) There's not enough information to tell.
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Posted 3 months ago

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Let f f be a twice differentiable function, and let f(−3)=−4 f(-3)=-4 , f′(−3)=0 f^{\prime}(-3)=0 , and f′′(−3)=1 f^{\prime \prime}(-3)=1 .\newlineWhat occurs in the graph of f f at the point (−3,−4) (-3,-4) ?\newlineChoose 11 answer:\newline(A) (−3,−4) (-3,-4) is a minimum point.\newline(B) (−3,−4) (-3,-4) is a maximum point.\newline(C) There's not enough information to tell.
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Posted 3 months ago

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What is the area of the region between the graphs of f(x)=x2−4x+1 f(x)=x^{2}-4 x+1 and g(x)=3x−5 g(x)=3 x-5 from x=1 x=1 to x=4 x=4 ?\newlineChoose 11 answer:\newline(A) 1256 \frac{125}{6} \newline(B) 272 \frac{27}{2} \newline(C) 44\newline(D) 812 \frac{81}{2}
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Posted 3 months ago

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What is the area of the region between the graphs of f(x)=x2−3x f(x)=x^{2}-3 x and g(x)=2x g(x)=2 x from x=0 x=0 to x=5 x=5 ?\newlineChoose 11 answer:\newline(A) 1756 \frac{175}{6} \newline(B) 2525\newline(C) 3256 \frac{325}{6} \newline(D) 1256 \frac{125}{6}
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Posted 3 months ago

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What is the area of the region bound by the graphs of f(x)=x−2,g(x)=14−x f(x)=\sqrt{x-2}, g(x)=14-x , and x=2 x=2 ?\newlineChoose 11 answer:\newline(A) 992 \frac{99}{2} \newline(B) 196 \frac{19}{6} \newline(C) 1512 \frac{151}{2} \newline(D) 452 \frac{45}{2}
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Posted 3 months ago

Question
ddx[x3sin⁡(x)]= \frac{d}{d x}\left[\frac{x^{3}}{\sin (x)}\right]=
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Posted 3 months ago

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