Solve the equation by completing the square.x2 + 14x + 34 = 0

A. {-7 - , -7 + }
B. {7 + }
C. {-14 + }
D. {7 - , 7 + }


Answer: A

Mathematics

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Find all the first order partial derivatives for the following function.f(x, y) = ln 

A. fx(x, y) = - ; fy(x, y) = 
B. fx(x, y) = ; fy(x, y) = 
C. fx(x, y) = -ln  ; fy(x, y) = ln 
D. fx(x, y) = -ln ; fy(x, y) = ln 

Mathematics

Use a product-to-sum identity to rewrite the expression.sin 35° cos 16°

A. 0.5(cos(19°)  - cos(51°) ) B. 0.5(cos(51°)  + cos(19°) ) C. 0.5(sin(51°)  + sin(19°) ) D. 0.5(sin(19°)  + sin(51°) )

Mathematics

Solve. = -8

A. x = -24 B. x = 24 C. x = -11 D. x = 11

Mathematics

The intensityIof light (in lumens) at a distancexmeters below the surface is given by , whereI0 is the intensity at the surface andkdepends on the clarity of the water. At one location in the Arctic Ocean,and

src="https://sciemce.com/media/3/ppg__cognero__5.2_Applications_of_Exponential_Functions__media__b7039acf-3880-4a5e-a8dc-7067bdabeed3.PNG" class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_45dc1d5a52ac4f57af8e2e9cb" />. Find the intensity at a depth of 3 meters. ? Please enter your answer as a number without the units, rounded to two decimal places. Fill in the blank(s) with the appropriate word(s).

Mathematics