If the slope field for has constant slopes where x is fixed, what do we know about ?
A) depends only on y.
B) depends only on x.
C) must be a constant.
D)We can't determine anything about .

Question

If the slope field for  has constant slopes where x is fixed, what do we know about  ?
A) depends only on y. 
B) depends only on x. 
C) must be a constant. 
D)We can't determine anything about .

Quizplus · Accepted Answer

If the slope field for 11eb69ff_fdde_67b1_af94_1b492dcc98a5_TB8190_11 has constant slopes where x is fixed, it means that the derivative with respect to y is constant for each fixed value of x. Therefore, 11eb69ff_fdde_67b2_af94_5549de61edc9_TB8190_11, which represents the slope of the tangent line at any point (x,y), depends only on x. Therefore, the answer is B.

If the Slope Field for Has Constant Slopes Where