(a) The first four Hermite polynomials are 1,2t,−2+4t2, and −12t+8t3. These polynomials arise naturally in the study of certain important differential equations in mathematical physics. Show that the first four Hermite polynomials form a basis of P3.(b) The first four Laguerre polynomials are 1,1−t,2−4t+t2, and 6−18t+9t2−t3. Show that these four Laguerre polynomials form a basis of P3.

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what is the image?

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

it is contrapositive

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c. histogram

step-by-step explanation: