Match each general antiderivative with its rule a. e b. dr, n+ – 1 C. 0 a +1 d. Ip エ+1 dr e. kr feaz a f. In(a) k dr g. (n+ 1)r" +1 1. n+1 j a In(a)

Q: Evaluate z= X-μ b √n if x = 18.3, μ = 16.5, o=5.1, and n = 53. z=0 (Type an integer or decimal…

A: Mean18.3population mean()=16.5standard deviation()=5.1sample size(n)=53

Q: Which of the following is an antiderivative of (x² + 1)²? I. +x2_1 x III. 5 X +x2+In. +x² +In|x²|+3…

A: To find the antiderivative of (x2+(1/x))2 Expand it and then integrate each term separately. Here's…

Q: 12. Evaluate the following: (b) (a) V1- dz 13 V16 – z dz

A:

Q: Evaluate the integral [18e⁹x+5dx. $18e⁹x+5dx =

A: To evaluate the following integral.  ∫18e9x+5 dx

Q: Evaluate z=x−μσn if x=92.4​, μ=17.8​, σ=1.2​, and n=63

A: Given, n=63, x=92.4​, μ=17.8​, and σ=1.2​

Q: 45 15/2 y X = Y = Z = 9. II || || х я N

A:

Q: Calculate the following antiderivatives: (8)/2º dr- = (b)/22/1³ dr= (c) +C. +C. +C.

A: Step 1:Step 2:

Q: 4. Is Aut(Z/8Z) isomorphic to Aut(Z/10Z)? Why?

A: Aut(Zn) isomorphic to U(n) , where n is a natural numberU(2r) isomorphic Z2XZ2r-2 , wher r>2U(2)…

Q: An unstretched spring is 20 cm in length. If it is stretched to 30 cm, 40 N of force must be…

A: Solved below.