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MATH 212 Graphs
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Terms in this set (6)
Cone
z²/c² = (x²/a²) + (y²/b²)
Elliptic Paraboloid
z/c = (x²/a²) + (y²/b²)
Hyperboloid of One Sheet
(x²/a²) + (y²/b²) - (z²/c²) = 1
Hyperboloid of Two Sheets
-x²/a² - y²/b² + z²/c² = 1
Hyperbolic Paraboloid
z/c = (x²/a²) - (y²/b²)
Ellipsoid
(x²/a²) + (y²/b²) + (z²/c²) = 1
Verified questions
linear algebra
In each case, show that U is T-invariant, use it to find a block upper triangular matrix for T, and use that to compute $$ c _ { T } ( x ) $$ . (a) $$ T : \mathbf { P } _ { 2 } \rightarrow \mathbf { P } _ { 2 } , T \left( a + b x + c x ^ { 2 } \right) = ( - a + 2 b + c ) + ( a + 3 b + c ) x + ( a + 4 b ) x ^ { 2 }, U = \operatorname { span } \left\{ 1 , x + x ^ { 2 } \right\} $$ , (b) $$ T : \mathbf { P } _ { 2 } \rightarrow \mathbf { P } _ { 2 } , T \left( a + b x + c x ^ { 2 } \right) = ( 5 a - 2 b + c ) + ( 5 a - b + c ) x + ( a + 2 c ) x ^ { 2 }, U = \operatorname { span } \left\{ 1 - 2 x ^ { 2 } , x + x ^ { 2 } \right\} $$
pre algebra
Write each fraction as a percent. Round to the nearest tenth of a percent where necessary. $$ \frac { 5 } { 6 } $$
algebra
Write the equation of the line parallel to the given line and passing through the given point. Check your answer by graphing the lines. $y = 2 x - 3 ; ( 6,2 )$
algebra
Use the Factor Theorem to show that the statement in the exercise is true. Show that x + 4 is a factor of the polynomial $P(x)=x^{5}+4 x^{4}-7 x^{3}-23 x^{2}+23 x+12$
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