Consider P2 with the inner product given by evaluation at - 2, 0, and 2. Compute ||p|| and ||q|| for p(t) = 4t-² and q(t) = 1+ 312. %3D p| = (Simplify your answer.) llall =D(SimplifY YOur answer)

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: Evaluate as indicated. If z(t)=2x2+7t-4. find z(-6) and z(3)

A: Topic:- algebra

Q: Evaluate. (2x+1)/x2+x-1  with endpoints 3 and 1.

A: Consider the given function: fx=2x+1x2+x-1 Now plug-in the value x=3 in the function. This gives,…

Q: he closed form for an+1 3an + n² with ao = 1. Verify your result.

A:

Q: Find L{t?e-4t - e-2tsin (v2t)}

A:

Q: Find ||v|| . v = 3i - 6j - 2k

A: Given vector is v=3i-6j-2k. To find v. Solution: We know that if vector is v=ai+bj+ck then:…

Q: Rationalize the denomina Vx +1 Vx +2 x +1 /x +2 (Simplify your answer.

A:

Q: Which value(s) of x satisfies the equation Vx? -4x –5 = 2x – 10 {3, 5, 7} {5} {5, 7} O {7}

A: Given an equation x2-4x-5=2x-10 To find the values of x that satisfy the equation

Q: Evaluate x +3 dx (x – 1)(x² + 25)

A:

Q: 2 1 x²dx -3x

A: Given:

Q: Find VW 2x - 7 2x - 14 | U • V. 15

A:

Q: Find ||v||. v = -6i - 12j - 4k

A: if v= xi + yj + zk  where i,j, k are unit vectors given V=-6i-12j-4k  here x= -6 , y= -12 , z= -4.…

Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

A:

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: d.

A:

Q: Find the largest z for which 2x + 4y = 5 and x2 + z2 = 2y.

A: Given- 2x+4y=5 and x2+z2=2y To find- The greatest vlue of z. Concept Used- To find the largest…

Q: i want Z( zero) and Za

A: The known values are, x = 224, n = 237 The sample proportion is,

Q: Find the coefficient of x12y13 from (x + y)25

A: In this question we have to find the coefficient of x12y13 from x+y25