3. For each of the following inner product spaces V and linear operators T on V, evaluate T* at the given vector in V. (a) VR2, T(a, b) = (2a + b, a 3b), x = (3, 5). (b) V = C², T(21, 22) = (221 + iz2, (1 − i)z1), x = (3 — i, 1 + 2i). - (c) V=P₁(R) with (f,g) = {* f(t)g(t) dt, T(f) = ƒ' +3f, f(t)=4-2t

Q: csc y

A: In a right angle triangle,It is given base side=x,hypotenuse=1one angle=y°So,opposite side of the…

Q: 9w2=12w+5

A:

Q: A wooden beam needs to be carried horizontally around the corner of a hallway (diagram provided on…

A:

Q: (4x)2

A: To evaluate(4x)2

Q: 1. For what values of a does the function f have a local (relative) maximum on (0,8)? Answer…

A: 1. For x= 3, the function  f(x) has a local maximum in the interval (0,8) 2. For x=2  , the function…

Q: Evaluate 8r-rs when r=6 and s=5

A: 8r-rs.........A given r=6 s=5  put r and s value in A

Q: 1 2e10 - 3 da e5z

A:

Q: 2 V ² +1 dx

A:

Q: X5 y / x4 y6

A: Given: x5yx4y6

Q: 7x4 28x7

A: Given that,       7x428x7 = 14x3     (By exponent rule    xmxn=xm-n)

Q: C 15x8 226

A: Step 1: In the given figure, AB is a chord and CD is the tangent to the circle Measure of arc…

Q: 4j - 8 = 12 + 9j

A:

Q: 2a+3a=c

A:

Q: бу 16y + 8 12y +6 7

A: