df dx = + Phys 23, Spring 2012a Basic Math Print LAST Name: RJ Bieniek Rec Sec Letter MiniTest Print First Name: Answers

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1 Phs 23, Spring 2012a asic Math Print ST Name: RJ ieniek Rec Sec etter MiniTest Print First Name: nswers When ou answer, put the requested quantit on the left side of an equal sign & O it and our answer on a single line 0 points for an incorrect answer Simplif our answers 1. Solve for : 2 + Y = 4 2Y = 5 = 1 2. Two right triangles have some sides that are perpendicular to one another, as shown in the figure. Epress the length in terms of length and angle. = = csc( ) sin( ) R 3. What is the derivative of f() = ( 1+ e 2 ) 5 with respect to? df 10e 1 d = + ( e ) If C= for the vectors shown in the diagram at the right, what is C in terms of and the magnitudes of and? C = sin( ) +

2 Phs 23, Spring 2012 asic Math Print ST Name: RJ ieniek Rec Sec etter MiniTest Print First Name: nswers When ou answer, put the requested quantit on the left side of an equal sign & O it and our answer on a single line 0 points for an incorrect answer Simplif our answers 1. Solve for : 2 + Y = 5 + 2Y = 5 = 3 2. Two right triangles have some sides that are perpendicular to one another, as shown in the figure. Epress the length R in terms of length and angle. R= = sec( ) cos( ) R 3. What is the derivative of f() = (1+ e 5 ) 2 with respect to? df 10e ( 1 e ) 10e 10e d = + = If C= + for the vectors shown in the diagram at the right, what is C in terms of and the magnitudes of and? C = + sin( )

3 Phs 23, Spring 2012b asic Math Print ST Name: RJ ieniek Rec Sec etter MiniTest Print First Name: nswers When ou answer, put the requested quantit on the left side of an equal sign & O it and our answer on a single line 0 points for an incorrect answer Simplif our answers 1. Solve for : + 2 = = =10 2. Two right triangles have some sides that are perpendicular to one another, as shown in the figure. Epress the length in terms of and. = = cot( ) tan( ) 3. What is the derivative of (t) = ( ) 3 2+ sin(2 t) with respect to t? d 6cos(2 t) 2 sin(2 ) dt = + ( t ) 2 4. If C= + 2 for the vectors shown in the diagram at the right, what is C in terms of and the magnitudes of and? C = 2cos( )

4 Phs 23, Spring 2012 asic Math Print ST Name: RJ ieniek Rec Sec etter MiniTest Print First Name: nswers When ou answer, put the requested quantit on the left side of an equal sign & O it and our answer on a single line 0 points for an incorrect answer Simplif our answers 1. Solve for : + 2 = = 4 = 3/2 2. Two right triangles have some sides that are perpendicular to one another, as shown in the figure. Epress the length in terms of and. = tan( ) 3. What is the derivative of (t) = ( ) 2 2+ sin(3 t) with respect to t? d 6cos(3 t) 2 sin(3 ) dt = + ( t ) 4. If C = for the vectors shown in the diagram at the right, what is C in terms of and the magnitudes of and? C = + cos( )

5 Phs 23, Spring 2012c asic Math Print ST Name: RJ ieniek Rec Sec etter MiniTest Print First Name: nswers When ou answer, put the requested quantit on the left side of an equal sign & O it and our answer on a single line 0 points for an incorrect answer Simplif our answers 1. and T are OTH negative numbers. Write the algebraic equation that is equivalent to the verbal statement F has the same the value as twice subtracted from T. F = T 2 = 2 + T 2. Two right triangles have some sides that are perpendicular to one another, as shown in the figure. Epress the length in terms of length and angle. = cos( ) 3. What is the derivative of () =( ) 3 2+ cos(2 ) with respect to? d 6sin(2 ) 2 cos(2 ) d = + ( ) 2 4. If C= 2 for the vectors shown in the diagram at the right, what is C in terms of and the magnitudes of and? C = 2+ cos( )

6 Phs 23, Spring 2012C asic Math Print ST Name: RJ ieniek Rec Sec etter MiniTest Print First Name: nswers When ou answer, put the requested quantit on the left side of an equal sign & O it and our answer on a single line 0 points for an incorrect answer Simplif our answers 1. and T are OTH negative numbers. Write the algebraic equation that is equivalent to the verbal statement F has the same the value as twice T added to. F = + 2T = 2T + 2. Two right triangles have some sides that are perpendicular to one another as shown in the figure. Epress the length in terms of length and angle. = = sec( ) cos( ) 3. What is the derivative of () = ( ) 2 2+ cos(3 ) with respect to? d = 6sin(3 ) 2+ cos(3 ) d ( ) 3 4. If C = 2 for the vectors shown in the diagram at the right, what is C in terms of and the magnitudes of and? C = 2cos( )

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