Use the inner product (f,9) = f(z)g(x) dz in the vector space C"0, 1] of continuous functions on the domain [0, 1] to find (f, g), || f ||, |g||, and the angle afg between f(z) and g(z) for f(x) =-5x2- 3 and g(z) = 9z- 7. (f,9) !! || f|| = Il|| a f,g

Q: Let A = {1,{2,3}}. Find P(A), n(A) and n (P(A)).

A: The power set of a set is the set of its subsets. The expression nA represents the number of…

Q: 5(18)

A: To find5(18)

Q: Find the Laurent series expansions of the following functions in the regions indicated: 2+1 (a) in 0…

A:

Q: 31/2 / 1/2

A:

Q: Write the binomial expansion for (x + 2)°. (x+ 2)° =D

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: Solve the given initial value problem. y' + 8y' = 0; y(0) = - 10, y'(0) = 24 What is the auxiliary…

A:

Q: 12 wikon 3.

A:

Q: Find L¹ 1 5 (s²-25) Do not expand. Use a property from 7.4.

A:

Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

A:

Q: 9 tmes 8

A: 9 times 8 means adding 8 upto 9 times or multiply 8 by 9.

Q: 6. Using the data from the contingency table, obtain the value of the test statistic of our test. 7.…

A: Step 1: Given: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored…

Q: 5. Calculate the p-value of the test. 6. Interpret the p-value. 7. State the conclusion of the test…

A: 5. The P-value is obtained below: P-Value: From the given information, the value of the test…

Q: 23 and 24

A: given,