Calculate how many different sequences can be formed that use the letters of the given word. Leave your answer as a product of terms of the form C(n,r). HINT [Decide where, for example, all the s's will go, rather than what will go in each position.] mesopotamia O C(11, 2)C(9, 1)C(8, 1)C(7, 2)C(5, 1)C(4, 1)C(3, 2)C(1, 1) 11. C(11, 2)C(9, 1)C(8, 1)C(7, 2)C(5, 1)C(4, 1)C(3, 2)C(1, 1) C(11, 8) O C(2, 11)C(1, 9)C(1, 8)C(2, 7)C(1, 5)C(1, 4)C(2, 3)C(1, 1) O C(11, 2)C(10, 1)C(9, 1)C(8, 1)C(7, 1)C(6, 1)C(5, 1)C(4, 1)C(3, 1)C(2, 1)C(1, 1)

Q: GIVEN SSS √√x² + y² dv WITERE & IS REGION THAT LIES UNDER 2-9, ABOVE THE PARABOLOID Z= x² + y² AND…

A:

Q: Some values of a function and its 3-unit moving average are given. Supply the missing information. X…

A:

Q: Let g be the function defined by g(x)=√6z. Let R be the region in the first quadrant bounded above…

A: Let g be a function defined as gx=6x and R be the region in the first quadrant bounded above by the…

Q: Fit a second-degree parabola - curve fitting using least square method from the data below:  x 1 2…

A: X Y 1 40 2 52 3 62 4 58 5 60 Fit a second-degree parabola: Fit a second-degree parabola…

Q: A contour diagram of function Z = f(x, y) is given below. Determine the sign of the second partial…

A: Given graph is The above diagram z=f(x,y) denotes the contour diagram.

Q: 1. (Section 17.2, 17.3) Find the work done by F(x,y) = -2yi-2zj in moving a particle along y - 4-2r²…

A:

Q: 4. Find a global minimum point of the function over z, y, z E R. f(x, y, z)=2x² + xy + y² + y²…

A:

Q: 3. (Sec. 3.5) Consider the nonhomogeneous second order linear DE Ly] =y" +p(t)y' + g(t)y=g(t), where…

A:

Q: Let A m 11 11 1 m 1-1 0 and A-1 = - N 234 Find m and n:

A:

Q: Determine the area in the first quadrant bound by the polar function r(0) = sin (0) – 1.

A: Here, since the area is in the first quadrant, we can calculate the area with the help of integral…

Q: (1) Give an inverse for each function if it exists, or else say why there is no inverse: (a) f(x) =…

A: Two real-valued functions and one physical scenario are given.

Q: Write the components of OA: O y

A: Write the component of given vector OA→ .

Q: Given the following PDE: ua tuy tru = 4x Using the change of variables method find the general…

A:

Q: A surgical procedure requires choosing among four alternative methodologies. The first can result in…

A: Given that, A surgical procedure requires choosing among four alternative methodologies.   First…

Q: A colony of bacteria is increasing at the rate of 15% each hour. There are 2,500 bacteria in the…

A: Given that, the initial amount of bacteria in the colony = 2500 rate of growth = 15% per hour

Q: If $800 is borrowed and the interest after 6 months is $72, what is the annual interest rate for a…

A:

Q: (a)Calculate the amount of reimbursement (in $) you expect to receive from the NSLP for last month.…

A:

Q: Find the first three nonzero terms, or as many as exist, in the series expansion about x=0 for a…

A:

Q: Solve the problem maxx + 4y + z subject to x² + y² + z² = 216 and x + 2y + 3z = 0

A: Dur to insufficient information of part (b) ,we will provide the solution only part(a) .

Q: How many different six-letter sequences can be formed from the letters a, a, a, a, a, b? HINT [See…

A: Given that: Letters a, a, a, a, a, and b.  To find: Six different letters sequence.

Q: Given the function f(x) = cos(2), compute the right-endpoint (Riemann) sum using n = 5 on the…

A:

Q: - Consider vectors in R³ = --·-·- Does belong to the span(ū₁, 2)? If yes, find coefficients C₁, C2…

A: The information about this question is given below.

Q: For what values of x, the series converges? Σ-1 (In x)"

A: The series ∑n=1∞(lnx)n is a geometric series with common ratio lnx. As the geometric series are of…

Q: In each of Problems 9 through 11, solve the given initial value problem. Sketch the graph of the…

A: The given differential equation is 9y" - 12y' + 4y = 0  with y(0) = 2, y'(0) = - 1.

Q: 5. Dwayne is a plumber. He is installing a new drain system. The drop must be at least 6 mm for…

A: The required drop must be at least 6mm for every 300 mm of pipe length. So, the required slope is at…

Q: The function f is defined by f(x) = 2- cp 3 for x>, where p is a constant. C cam Pidgepapers.n (b)…

A:

Q: Question #1. Express the following as a partial fractions and hence find the inverse Laplace…

A: This question is about to evaluate inverse Laplace transform.

Q: Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How…

A:

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = (15/x) on the…

A: The given function is f(x)=15x, and the interval is [3,7]. Rectangles for left-endpoint and…

Q: Determine whether the alternating series M8 ΣΗ- n=1 (-1)^+1) 12 n converges or diverges. Choose the…

A:

Q: (a) Solve the problem max x² + y² + z² subject to x² + y² + 4z² = 1 and x + 3y + 2z = 0 (b) Suppose…

A: Given information: Maximize fx,y,z=x2+y2+z2 subject to  gx,y,z=x2+y2+4z2-1 hx,y,z=x+3y+2z To find:…

Q: The number of salmon swimming upstream to spawn, N, is approximated by the function N(t) = −t³ + 3t²…

A: Given  Nt = -t3 + 3t2 + 864t + 5000                              dNdt = -3t2 + 6t +…

Q: Evaluate Sz+1) dz, where C is the straight line path from I to 2.

A:

Q: x 2 1.5 1 050-05-17.82 Y -2 -1.5 -1 -0.50 0.5 1 1.5 2 13 12 11 Z 10 Find the surface area of the…

A:

Q: Find the rank. Find a basis for the row space. Find a basis for the column space. Hint. Row-reduce…

A: Given matrix is   5 -2 1 0   A= -2 0 -4 1     1 -4 -11 2     0 1 2 0   Now, reduce the…

Q: A company sells one of its products for $10.10 per unit. Its fixed costs are $728.00 per month, and…

A:

Q: Prove that: V- A = -VA

A:

Q: Compute the Laplace transform of f(t) = ( 6, if 0 ≤ x < 12 4t, if 12 ≤ x < ∞

A:

Q: +I) (P)

A: A complex number is given in its power form. We need to simplify it.

Q: At time t = 0, a bacterial culture weighs 2 grams. Three hours later, the culture weighs 5 grams.…

A:

Q: Sketch the curve with equation x2/3+ y2/3 = 1 and use symmetry to find its length.

A:

Q: Miss Morrison has a test bank of multiple choice questions. 15 questions are combinations, and 12…

A:

Q: 2. Let G = {5|n € Z}. a. Show that G is a group under the multiplication operation. b. Determine a…

A: 2: a)To show that G is a group under the multiplication operation, we need to verify four group…

Q: Suppose a Fast Action dishwashing liquid costs $1.33 for 26 oz and Super dishwashing liquid costs…

A: The fast action dishwashing liquid costs $1.33 for 26 oz.     So, the cost per ounce for this fast…

Q: .: Remind that the set F of all functions from R to R is a vector space. Prove that the set E of…

A: We know that If W is a subset of a vector space V , then W is a subspace of V if and only if the…

Q: Let R = {(a, b) | a = b (mod 3)} be an equivalence relation on the set of integers Z. What are the…

A:

Q: For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum…

A:

Q: A vortex that rotates at constant angular velocity w about the z-axis has velocity vector field =…

A: Given: A vertex that rotates at a sustained angular velocity ω about the z-axis has a velocity…

Q: Solve using Real roots: 1.365230013 a. Bisection Method I a b x³ + 4x² - 10 = 0 (1-2) x f(x)

A:

Q: Figure 1 4 Which of the following is the function in Figure 1? OH(t-4)-4 2-H(t-4) e 2 O4H(t-2)H(t-4)…

A: