Which of the following subsets of p2 are subspaces of p2? (p2 denotes the set of polynomials of degree 2 or less.) a. {p(t) | p′(2)=p(4)}{p(t) | p′(2)=p(4)} b. {p(t) | p(8)=2}{p(t) | p(8)=2} c. {p(t) | p′(t){p(t) | p′(t) is constant }} d. {p(t) | p′(t)+9p(t)+6=0}{p(t) | p′(t)+9p(t)+6=0} e. {p(t) | p(6)=0}{p(t) | p(6)=0} f. {p(t) | ∫30p(t)dt=0}{p(t) | ∫03p(t)dt=0}

Which statements are true? check all that apply. the line x = 0 is perpendicular to the line y = –3. all lines that are parallel to the y-axis are vertical lines. all lines that are perpendicular to the x-axis have a slope of 0. the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %

Select all of the following expressions that are equal to 2.5.