f any arrangement of letters is considered a word, and there are 21 consonants and 5 vowels to choose from, how many words consist of 5 unique consonants and 3 unique vowels such that no two consecutive letters are vowels?

Q: Show that the function f(z) = sin x cosh y + i cos x sinh y is continuous as well as analytic every ...

A: The given function is: f(z)=sinxcoshy+icosxsinhy

Q: In solving for the root of a single equation, the approximate value obtained after the third iterati...

A:

Q: (a) Find the projection matrix P describing the projection of R4 onto V = span{

A:

Q: Using Bisection method find the solution of h (x) = 2x2 – 3x + x sin x = 8. Stop iteration as soon a...

A: The complete solutions are given below

Q: What is the dividend if the divisor is x- 3, the quotient is -2x* + 4x* – 6x + 3, and the remainder ...

A:

Q: Abigail and her children went into a movie theater and she bought $71.50 worth of drinks and pretzel...

A: Given Abigail and her children went to a movie theater and she brought $71.50 worth of the drinks an...

Q: 12. If (f, 0) is the focus of the parabola given by y? = 12x, and (h, k) is the center of the hyperb...

A:

Q: What is the real number of z= -1 +2i ? Select the correct response: O Re (z)=1 O Re (z) = -1 O Re (z...

A: A complex number is a number of the form a+ib. It contains two parts, the real part and the imaginar...

Q: 2. Find the sum of the coefficients of the polynomial obtained by fully expanding (x - 2). С. 1 А.-2...

A:

Q: Simplify (금아 (-금-))" Gois (-)) (2- v3 – )* 4.17 (-) 3.89 2 TC 3.63 Z 3.89 2-지

A: Use the following formulae, to obtain the solution. The polar form of the complex number z=x+jy is ...

Q: Given that f(x) = 4x +2 and g(x) = 9-x, calculate (a) f(g(0))= (b) g(f(0))=

A: Solution :-

Q: A bag of gumballs contains 10 green gumballs, 8 orange gumballs, 12 pink gumballs and 15 red gumball...

A: Given: Total Green gumballs = 10 Orage Gumballs = 8 Pink gumballs = 12 Red gumballs = 15 Total gumba...

Q: How many different patchwork quilts, four patches long and three patches wide, can be made from five...

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts tha...

Q: • Formulate the problem as an LP. • Write the dual LP. • Derive the units on the dual variables and ...

A:

Q: 2. Sarah drew the graph of y + x 2 as shown on the graph below. On the same ax she wants to draw the...

A: a) x -3 0 3 2x -6 0 6 -1 -1 -1 -1 y -7 -1 5

Q: 2. Method of variation of parameters x" + 2x' + 8x = 2e-2t – e-t,x(0) = 1,x'(0) = 0 t+1 2x" + x' + 8...

A:

Q: Approximate the integral | dx using 4 trapezoids .2 1

A: Introduction: The formula for the trapezoidal rule is given by, ∫aby(x)dx=h2y0+yn+2(y1+y2+...+yn-1)

Q: One well-known bread store is franchising in Metro, they sell their bread depending on the taste of ...

A:

Q: 9. When -6x - 7x + qx- 12 is divided by 3x - 4, the remainder is 0. Find the val

A:

Q: Find the inverse, if it exists, of each of the following: 1 2 0 -2 0 1 -2 1 1 0 (a) A= 1 3 2 1

A:

Q: (X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 – 3x...

A:

Q: 2) Let R be a commutative ring and a,b e R. Show by induction on n the binomial formula (a + b)" = E...

A:

Q: When the two columns of a matrix are interchanged, the determinant of the first matrix is the second...

A:

Q: Guided Practice #2 For each given sequence: • Find the next three terms in the sequence • Write a se...

A: Introduction: When the ratio of two successive terms of a sequence is constant throughout the sequen...

Q: Consider the following system of lincar equations: I1 + 3r2 2r1 + 6r2 + 13 4r. -1 I3 - 6r4 = 2 2r3 +...

A:

Q: What is the derivative and second derivative of S = KBln [(NcNC ) / (mm(Nc-m)(Nc-m)] ? Showing that ...

A:

Q: I. For z = 3 – j5 and z2 = -2 +, find the rectangular form of the following: a. z1 + z2 b. Z1 – -- c...

A:

Q: 2. Find a formula for curl(curl(u)) in terms of (x1,02, X3) and (e, e2, e3) if u = uje1 + Uze2 + Uze...

A: We will use the basics of vector calculus to answer this question in detail. Below is the step-by-st...

Q: Convert each equation from rectangular to polar form. 5) (x – 1)° + (y + 1)² = 2 6) x = y 7) x = y 8...

A: Solution :-

Q: Let m ≥ 2 be an integer. If [a]m does not = [b]m Show that [a]m ∩ [b]m = Ø.

A:

Q: 7. The graph shown is the result of transformations applied to y = x". Determine the equation of thi...

A:

Q: d. Ris a relation on Z* such that (x, y) e R if and only if there is a positive integer n such that ...

A:

Q: Which of the following sets is NOT an empty set? Select one: a. The set of natural numbers less than...

A:

Q: 2. 27x + 6y - z = 85, x+y + 542 = 110, 6x + 15y + 22 = 72.

A: Given system of equations is27x+6y-z=85x+y+54z=1106x+15y+2z=72Here the coefficient matrix of the giv...

Q: 4. (a) Consider the linear transformation T: R + R? that sends (E) - B- - (E) -F)- T Write down the ...

A:

Q: Which of the following is always equal to a. A c. A b. d. A

A: We have to find from given options which is equal to AT-1.

Q: 3) Let R be a commutative ring. An elementre R is called nilpotent if rm = 0 for some m e N. Show th...

A: Commutative ring and ideal

Q: 3.) The Holiday Meal Turkey Ranch is considering buying two different brands of turkey feed and blen...

A:

Q: 7. The number 2022 has three distinct prime factors, a, b, and c. The number 2022! can be factored a...

A:

Q: Let f(x) = 5x + 3. Determine (ƒ o fo f)(x). (fofo )(2) - %3D

A:

Q: Explain in a sentence how to use a natural deduction proof to show that a  sentence of TFL is a theo...

A:

Q: 2 1 Hence the adjoint of 3 4 is 4 6 3

A: Let us consider a matrix Mij The cofactor matrix is obtained as Cij=(-1)i+jMij  where Mij  is minor ...

Q: Q3) The component of national economy is as follows: Y= 5000 C= 1800 T= 1400 C= 500+(1/2)(Y-T) |= 19...

A:

Q: Solve the following equations in Z6 with x expressed in both standard and non-standard names: (i) xx...

A:

Q: The systems of linear equation below is diagonally dominant. 5x1 +7x2 + 13x3 = 76 %3D + 5x2 + 3x3 = ...

A: Interchange equation (1) and(3)                     12X1+3X2-5X3=1.                                 ...

Q: Let P(x) be the predicate “x > 1/x.” a) Write P(2), P( 1/2 ), P(−1), P(−1/2 ), and P(−8), and indica...

A:

Q: Prove that for all real numbers Ex)y= -(1u)

A: We have to prove that for all real numbers (- x)y= - (xy)

Q: Identify the center and radius of the circle with the following equations then graph the circle. x^2...

A:

Q: Find the inverse's of -6854 modulo 979 (note that 0 <= s <979). Justify the existence of the inverse...

A: Given:  the inverse's of -6854 modulo 979 

Q: 5. Find the inverse, if it exists, of each of the following: 1 2 0 -2 0 1 -2 2 1 1 1 (a) A= 1 0. 3 1...

A: