Find A-1 and det(A) A = -24 -18 -20 -15 -5 -4 5 4 1

Q: (a) (b) (c) Consider the vector field F(x, y) = (2xy, x²). Show that this vector field is…

A:

Q: 2. a) Find the Fourier cosine integral of ƒ(x) = { b)Find the Fourier sine integral of f(x) ={…

A:

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Anu a)Find the…

A: a) To find the Taylor series generated by g(x) = 1/√x centered at 1, we can use the formula: f(x) =…

Q: K Solve the given initial value problem. dx dt dy dt = 6x + y; = - 2x + 3y; x(0) = 3 y(0)=0 The…

A:

Q: Let p be a prime of er, 1 < a <p-1. 7 Hulo p.

A: According to the question, Let's start by clarifying some terms A quadratic residue is an integer…

Q: Find the directional derivative of the scalar field = xy + 4xz at the point (2, -2, 4) along the…

A:

Q: A can of soda is placed inside a cooler. As the soda cools, its temperature C (t) in degrees Celsius…

A:

Q: A rectangular box, open at the top, has a volume of 256 cubic units. a) What must be the dimensions…

A:

Q: Solve the differential equation dy dx = 6y, and find the particular solution satisfying the initial…

A:

Q: Given Ollowing: ar right) mg (x) 3 10 8 ( x ) = ²x²-7x² - 6x² + ²x +_ find the (far left) lim g (x)

A:

Q: Evaluate the value of I = f(e²y — 4x) dx + (2xe²y + y)dy, where C is the parabola C y = x²5x from…

A: It is given that the equation of the parabola is y=x2-5x. It is from (0,0) to (0,5) To determine the…

Q: Evaluate the value of I = (4,0). I = Sleby. r 3x) dx + (6xe6y + y)dy, where I is the straight line…

A:

Q: Given Rn n 5 1 = [(+¹²)*(1+¹)] - n a = b 7+i- that is provide a, b and f(x) in the expression = cos…

A:

Q: For the system below a. Find the equilibrium points. b. For the equilibrium point (0,50) find the…

A:

Q: 2 dy =x Y dx Which of the following equations would produce the direction field above? dy dx dy dx…

A: The given differential equations are:

Q: Determine the inverse Laplace transform of each of the following: 3e-2 F(s)=2-9 (a). (b). F(s) =…

A: We have to find out inverse Laplace transform for given functions.

Q: 3. Given the system of differential equations in matrix form below: x = (1 ¹) x a. Solve the…

A:

Q: 6. Find the MacLaurin series for x² sin(2x³). Express your answer in Σ notation. MacLauren Series is…

A: The given problem is to find the Maclaurin series of the given function. Given function, x2sin(2x3).

Q: . Let C = {0, 1, 2, 3} and f : C → C, g : C → C with f = {(0, 2),(1, 2),(2, 3),(3, 0)}, g = {(0,…

A:

Q: 2. Fit a trend line to the following data. Year: 1973, 1974, 1975, 1976, 1977, 1978. 92, 83, 94, 99,…

A: Year 1973 1974 1975 1976 1977 1978 Production 92 83 94 99 92 100 Note: According to the…

Q: Data have been accumulated on the heights of children relative to their parents. Suppose that the…

A: As per guidelines,we are supposed to solve first 3 subparts only.

Q: Question (2) Consider an EOY geometric gradient, which lasts for eight years, whose initial value at…

A:

Q: he initial value problem below using the method of Laplace transforms. +6y' + 5y = 160e³t, y(0) =…

A:

Q: 2:40 D 7. Integrating Factor.pdf GIVEN 1 y dx-x dy + log x dx = 0 1 y = X + X ANSWERS (1 + log x) =…

A: Given problems are individual questions.So I solve first question only.

Q: How long will it take $2,000 to grow to $18,000 if it is invested at 4% compounded monthly? years…

A:

Q: Write the equation that represents all of the points (-3,3), (3,3) where the difference between the…

A: Given that: The given points are (-3,3)  and (3,3). The distance between points is 3.5. The equation…

Q: √10 ✓ 10-x² "ANTO NO If the integral √20-x²-y² √x²+y² ·b₁ b₂ pb3 [Cr f(x,y,z) dzdydx is rewritten in…

A:

Q: c. Limt S F(S) S 0 2 S (S²-3S+40)

A: Function means that the special type of relationship between the input values and the output values…

Q: K Given that n(An B)-5, n(An BnC)-3, n(An C) =5, n(BnC)-3, n(An C)-9, n(B n C)-5, n(C)-11, and n(A'…

A:

Q: 2. Use the Fourier series of to prove the identities and Σ n=1 f(x)=x₁ == // < x < 1/1 (-1)"+1 2n-1…

A: The given function is  fx = x,   -12 ≤ x ≤ 12        Since fx is an odd function in -12 , 12…

Q: What is the minimum value of the total surface area of the box?

A: Let the dimensions of the box be       Length = l unit      Breadth = b unit      Height = h unit…

Q: B a=2, A-35°; Find b, c, and B. OA. b 2.86. c-4.49 B-65° information given. Round answers to two…

A:

Q: a) please I did get eigenvalues 2 +/- 2i and the corresponding eigenvectors but I don't understand…

A: Here A= 1-513,Auxiliary equation: (1-λ)(3-λ)+5=0λ2-4λ+8=0λ=4±16-322=2±2i.Corresponding eigen vectors…

Q: Show that (0, 0) is a critical point of f(x, y) = ey and classify it.

A: To show that (0,0) is a critical point of f(x,y)=exy2, we need to check if the partial derivatives…

Q: A college foundation raises funds by selling 600 raffle tickets for a new car worth $32,000 at ​$100…

A:

Q: = 9-2² - y². Include a sketch of the slices in the ry, yz and rz planes. Sketch z=

A: The given surface is z=9-x2-y2. We need to sketch the surface z=9-x2-y2.

Q: How many units must be sold to break even on this​ product?

A:

Q: integer n with n ≥ 1 Prove by using mathematical induction that for any 1+2³+3³ +...+ n²³: - n² (n +…

A: We will use mathematical induction to prove that for any integer n greater than or equal to 1, the…

Q: Question 1 Find a QR factorization of the matrix A. [10-15] A = -5 45 0-15

A:

Q: 7.27. Theorem. Let p be a prime and let i and j be natural numbers with i ‡ j satisfying 1<i,j<.…

A: Suppose, i2≡j2 (mod p)⇒i2-j2 ≡0 (mod p)⇒(i+j)(i-j)≡0 (mod p)⇒p|i+j or p|i-j⇒p≤i+j or p≤i-j

Q: For each expression, select all equivalent expressions from the list. (a) 8(3x-2) (b) 8y+4y+9y…

A: The given expressions, a) 83x-2 b) 8y+4y+9y. We have to find the equivalent expressions.

Q: Find the general linear equation (Ax+By+C =0) of a straight line that passes 1 and sketch the line.…

A: I have explained everything with in the solution. Please go through that

Q: Determine whether the given relation defines y as a function of x. y=16x5 Is y a function of x? O No…

A: given that y =16x^5 for all real values of x , 16x^5 is also real  Also every real number x has…

Q: 3. A farmer with 3000 meters of fencing wants to enclose a rectangular plot that borders on a…

A: Let l and w be the length and width of the rectangular plot. Use the formula A=lw, to find the area…

Q: 4) Let H and K be two subgroups of a group, G. We have seen that HUK is not, in general, a subgroup…

A:

Q: Show the first three iterations in detail, and then tabulate all of your results. Stop iteration…

A: A matrix is the rectangular arrangement of the numbers, symbols and the expressions in rows and…

Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

A:

Q: In our Discrete Maths class of 100 students, 40 students own a laptop, 25 students own a tablet and…

A: Let, X denote the set of students in the class.     Then, |X| = 100. Let, A and B denote the set of…

Q: 3. Let arctan(2)dx. -S² x (a) Find the Taylor polynomial of order 2, P₂(x), about x = 0 for the…

A:

Q: Use the following function to find f(9) and f(0). f(x) = 4x - 3 f(9) = f(0) =

A: To find f(9) and f(0) , we need to replace x by 9 and 0 in given function.