Difference between revisions of "Multivariate Calculus 10B, Problem 1"

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Line 7: Line 7:
 
'''a'''
 
'''a'''
  
  :: <span class+"line"><math>/draw [thick] (-2,2) % Draws a line
+
  :: <span class="line"><math>/draw [thick] (-2,2) % Draws a line  
 
       to [out=10,in=190] (2,2)
 
       to [out=10,in=190] (2,2)
 
       to [out=10,in=90] (6,0)  
 
       to [out=10,in=90] (6,0)  
 
       to [out=-90,in=30] (-2,-2);</math>
 
       to [out=-90,in=30] (-2,-2);</math>

Revision as of 01:30, 7 February 2016

Calculate the following integrals

a) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int _0^1 \int_y^1 e^{\frac{y}{x}}~dxdy}
b) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int_0^1 \int_0^{cos^{-1}(y)} e^{2x-y}~dxdy}

solution:

a

:: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle /draw [thick] (-2,2) % Draws a line        to [out=10,in=190] (2,2)       to [out=10,in=90] (6,0)        to [out=-90,in=30] (-2,-2);}