5. M = 3₁ 0² = 9₁ P/²6 < X < 12) a. Determine Plμ -ko < X < µ + ko ) 2 1 - 1 / / / k²

Q: 4) In each part, determine whether the integral is convergent or divergent. 5 3 D 00 √x dx b) 0 - dx…

A: Solution to the integrals.

Q: 3 - Find the bounded ly y=2x-2, x=-1, x= 2 3 area y=2X - 2, x=-I, x= 2 4- Find the anea bondol .

A: Integrate the given parabola from x=-1 to x=2

Q: Q4: A) solve: 1+xsin 1) lim- y0 1+xcos sin 2) lim -2m 20-4

A: Note: We are entitled to solve only one question at a time. To Find: i. limy→01+xsin1x1+xcos1xii.…

Q: The integral factor of the following O.D.E [ ( 3*(x^2)*y)+(y^3)+(2*x*y) ]dx :+ [(x^2)+ (y^2)]dy =O…

A:

Q: 8) GIVEN THAT F-x²yax -yay, FIND&F-d/ WHERE L IS THE COUNTOUR SHOWN IN THE FIEURE. 3 2 1 2 3 4

A:

Q: Prove that L ={(1Z*)"10" | n e N}is not regular.

A: The given language: Then, the above language can be rewritten as, To prove that L is not regular.…

Q: {: 2s-3 "hat is L- { equal to? s2-12s+13

A:

Q: (LO16) Find all of the zeros of f (x) = x³ – 4x² + 2x + 4. A) x = 2, x = 1 ± i C) x = 2,x = 1+ V3 B)…

A: If you like the solution then please give it a thumbs up.. The Answer is:       x=2,x=1±3 So, Option…

Q: How many real-valued solutions over (-1,1) are there to the following ODE? y = x /1- y + y…

A: Given - Given ODE : y' = x1 - y' + ylnlny' + eπxy To find - How many real-valued solutions over (-1,…

Q: lim x→0* √√x ln x

A: The given limit is

Q: Express 455.4 < μ < 708.4 in the form of a ± b.

A: Given Information:  455.4 &lt; μ &lt; 708.4

Q: How large should n be to guarantee that the Simpsons Rule approximation to -1 [(-2² -5 - 2 12x³…

A: ∫-5-1-x4-12x3-30x2-5x-5dx

Q: alas 2(-0,03) Ans. : # units sold: max. prof. = %3D 6. Use long division to divide (6x + 7x - 15x +…

A:

Q: In(2x + 2) · dx a) Use Trapezoidal rule with n=4 to approximate the integration b) Estimate the…

A: Given function is ∫04ln2x+2·dx   a) fx=ln2x+2 h=b-an=4-04=1 The function values are  x 0 1 2 3 4…

Q: Evaluate thne integrat -6 to -10. A. 21/2 B. 1/2 C. In 3

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to -1 -5 -x¹ – 12x³ -…

A: ∫-5-1-x4-12x3-30x2-5x-5dx

Q: 4. Any number in radix-r with n digits in the integer part and m digits in the fractional part can…

A:

Q: Estimate the integral of 0 to 7 based on this graph

A: Here we have to find estimate the integral 0 to 7 by using the given graph.

Q: 14 - If P(x) = 1/10, x = 10, then E(X) is: a) Zero b) -1 C) 6/8 d) 311 1

A: The formula of expected value is: E(X) = X*P(X) Given: X=10 P(X) =1/10

Q: 4. a) Solve the equation 5sin-'x- 2n = 2sin-'x-3n 6) Graph, find x where f(x) = g(x), bounded by…

A:

Q: What is the formula for the total distance traveled by an object with a velocity v(t) = −3+² +9 on…

A:

Q: iid, Let X1, , X"N(u,0²). Which is more efficient i, = X + }X,or îz =* (a) lz for n>5 (c )µz for all…

A: An estimator is said to efficient estimator if the variance of that estimator is less than the other…

Q: solve the single unknown for part C

A: Given expression: To find:the value of unknown x.We will use the value of R =