How many 7 digit numbers can be formed using the numbers 0-9 if the first and 5th digit can only be 7 and 9?

Q: Exercise 1: Directions: Evaluate the following integrals. Show your complete solutions. Identify the...

A:

Q: 1. Find the inverse Laplace transform for the following; In(s) Y(s) = s2 [Hint: L[In(t)] = -}(y+In(s...

A: We need to find Inverse Laplace Transform of , Y(s) = ln(s)s2 We have given that ,  Lln(t) = -1sγ + ...

Q: Find the value of a. -3t L = a VE Vs +3

A:

Q: 8. S 4 csc² 4x dx

A:

Q: 9. S(9 + 8y – y²)? dy 10. S (e*–2)² dx e 2x + 4

A:

Q: 4. Define the followings:            i) Forward and backward difference operator            ii) ...

A:

Q: The system x E 3 mod 9, x E 2 mod 4, has O A. no solution. O B. Unique solution. O C. finitely many ...

A: Introduction: The Chinese remainder theorem is very significant in solving a system of linear congru...

Q: 122 Compute 127

A:

Q: A tank initially contains 180 L of pure water. A mixture containing a concentration of y g/L of salt...

A:

Q: Find h t Trans form of decivative for d²f and d' f dt3

A:

Q: Determine whether the series converges, and if so, find its sum. (-)*". k-1 Ek=1 Determine whether t...

A:

Q: 1 Let an n > 3. n vln n +00 Use the Integral Test to determine if the series An converges or diverge...

A:

Q: reduce to firs oreler and solve (It

A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy problems....

Q: (x+2y-)み + (2メ+y+)dy-o let メーuー1, dx = du yev-l, dy edy UNE 1 LINE 2 レINE 3 (1-1+ 2y- 2-1) du + (2u-...

A:

Q: Find the ExPa enien in Po wers ofx of Sinhx Vx each the -1KX<I Ənd find the Valee of

A:

Q: Let f(x, y, z) = In (x² + y + z?). The level surface f (x, y, z) = In 4 is a: Elliptical cone around...

A: Given  f (x,y,z) = ln( x2+ y+z2),To find : level surface f= ln4

Q: Solve the given initial-value problem. y" + x(y')? = 0, y(1) = 4, y'(1) = 2 %3D y =

A: We have given that, initial value problem, y'' + xy'2 = 0 , y(1) = 4 , y'(1) = 2 Divide both sides b...

Q: Use the Method of Lagrange Multipliers to find the minimum and maximum values of the function f (x, ...

A:

Q: Find the absolute extrema of the function f(x) = x³ 23-a on the interval

A:

Q: 2.it gad Ca,b) = t, prove that god (a be) = gedca,c).

A:

Q: Use the First Derivative Test to find relative (local) maximum points or mini points, if any, of the...

A: Let us find the local maximum points or minimum points of the given functions and  determine the ope...

Q: Define the line Lo to be a = xo + at, y = yo + bt, z = z0 + ct. If Lo passes through the origin, the...

A:

Q: Let X be a continuous random variable with pdf 0 <x <1 1<x < 2 2 < x < 3 ax a f(x) = -ax + 3a otherw...

A: (i) As if f(x) is a pdf then ∫-∞∞f(x)dx = 1⇒ ∫01axdx + ∫12adx + ∫23(-ax + 3a)dx = 1⇒ ax2201 + ax12 +...

Q: V5 and an+1 = 5an. Find lim an. Let {an}1 be a convergent sequence defined by a1 =

A:

Q: You have 20 pennies, 30 nickels, and 40 dimes. Assume that the pennies are identical, the nickels ar...

A:

Q: Tank A contains 499 litres of brine holding 192 N of dissolved salt, and tank B contains 499 litres ...

A:

Q: Create a euler diagram to verify if the arguments are valid or invalid p: Some NBA players have a h...

A:

Q: Find the smallest value of k, k EN, for which the average value of f(x) = 12 x +k %3D on the interva...

A:

Q: Consider the homogeneous ordinary differential equation x² dy with y(x) as a general solution. Given...

A: Cauchy differential equation

Q: Evaluate the definite integral using the Newton-Cotes quadrature formula (Trapezoidal Rule and Simps...

A: According to the fundamental theorem of calculus ∫abf(x)dx=F(b)-F(a), where  dFdx=f(x). The function...

Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt 2 C,e * =0 Cos (a, x + E) cos ...

A:

Q: Evaluate [(z -z+2)dz from i to 1 along the contour C given in Figure. i 1

A: Any complex number is of the form z=x+iy The complex integral is converted into the integral of one ...

Q: Divisibility (Absthraed Algebia) Show that iF 79-5 is a mulh ple of 3 2. Then a8a-13a -5 Is a mulhpl...

A:

Q: Twelve increased by a number

A: We know that Let a number x  1) If x is increase a number a then we get x+a 2) If x is decrease a nu...

Q: 9.13 Solve: X1 + x2 - x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + X3 = 1 with (a) naive Gauss eliminati...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: P(-3,1,8), A(1,1,0), and B(-2,3,-4)

Q: See equation below. Find the value of a + b. (Answer must be an integer) 1 1 sint (a — аcost) (s2 + ...

A:

Q: Find the solution set of the following inequalities: (x+3)(x-2) > 0 1. (x+2)(x-1)

A:

Q: A function has a Laplace transform of F(s) = If this function is %3D s2-36 multiplied by t², what wi...

A:

Q: Good morning, could you help me solve the following problem?: First of all, Thanks. Find a different...

A:

Q: Hi I hope it's in written in clear hand  - Determine whether the following relation is i) an equiv...

A: A relation is said to be an equivalence relation if it is reflexive, symmetric, and transitive. A re...

Q: Use substitution to change the integral SS(3x + 4y)dA over the parallelogram with corners (0, 0), (...

A:

Q: 1 2 2 1 4 2 7 5 2 -1 4 -6 3 1.

A: Upper triangular matrix is a matrix in which the elements below the main diagonal elements are neces...

Q: Let m be a non-zero real parameter, x?e" – myze* = -m defines z as a differentiable function of x an...

A:

Q: v² dx + x(xt y) dx = 0 LINE 1 let x= v2, dx = yda+ zdy y2 (ydz + zdv) + xz(vz +Y)dy= 0 vz (vdz t zdv...

A:

Q: 16.7. Use Green's Theorem to show that Area of D zdz.

A:

Q: iz + 5i + 7 For questions 4 & 5: I = -dz, C traversed CCW z2 - 4z + 4+ 2i Question 4) Find I for C :...

A:

Q: You and your classmates want to earn extra income this summer. To do this, you will sell Summer Fun ...

A:

Q: (7) Show that the given functionis an integrationy factory Solves a) Sinydx+ Cosydy =0(e), b)(a+i)Yd...

A:

Q: 5s-1 JA function has a Laplace transform of F(s) : If this function is %3D s²-1 multiplied by e', wh...

A: