8 B =|-3 4 1. 4 -4 5] • Find adj B •Compute determinant Show that the B (adj B) = (adj B) B= det (B)., Find the inverse of matrix B using the adj B.

Q: Determine the value of k such that the system of linear equation has infinite number of solution. 4x…

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Q: By rewriting the summation of the power series E(n- 1)C,„,x" + E, 2nC,x-1 +E C,x+1 = 0, we obtain:…

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Q: 9 Il%) l-10) -51[X1 6. -7||x2 = 9 I[x3. -3 4 1 -8- 2 -2 -10] Solve for the unknown values using…

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Q: Use the following methods to solve for the root of the equation f (x) = xe* – sin?x

A: The False Position (also known as Regula Falsi) method uses the formula:…

Q: Question 1: Let y(r, t) = x'tº + 2x – 3t (a) What is du/az? (b) What is du/a?

A: We have , yx , t = x7 t9 + 2x - 3t We need to find , ∂y∂x and ∂y∂t. We know that , partial…

Q: 3. A farmer has 1,200 meter of fencing and wants to fence off a rectangular field that borders a…

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Q: In(x®y²) = x² +y³

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Q: y" + 12y" + 36y' = 0, y(0) = 0, y'(0) = 1, y"(0) = -7. %3D

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Q: Determine the value of k such that the system of linear equation has infinite number of solution. 4x…

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Q: 4 The integral " L* 1 dzdodr can be used to find the volume of a cylinder. Select one: True False

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Q: Given the tree below, find the following  a) Which vertex is the root? b) Which vertices are…

A: Here we use basic defnitions of tree

Q: g. L[cos(3t – 4)] h. L[t³sin(2t)cos(2t)] i. [[te-atsin(at)]

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate. dx 1) S V1+x2 n = 4 2) S dx n = 4…

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Q: Find the equation of the plane passing through three points A (-1, 2, 1), B (1,0, -2) , C(1, –1,1)

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Q: Give the adjacency matrix of the graph below.

A: The entries of the matrix are the number of edges from a vertex to another vertex.

Q: Determine all the values that will make the equation true. Express answer in rectangular form. 6z8 +…

A: We will use the basic knowledge of complex numbers and arithmetic to answer this question completely…

Q: 10. From a partially destroyed lab data, following results Lines of regression are: were retrieved:…

A: Solution:

Q: 2х + бу 3D 16 Solve —3х — 9у %3D — 24 by Gauss-Jordan method а. (5, 1) b. (9t – 24, t) с. (16— 6t,…

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Q: *Use the following graphs to answer the next question* Graph 1 Graph 2 Graph 3 Graph 4 NR4. Follow…

A: The graph of the function are  y=ax,a>1 y=ax,0<a<1 y=logax,a>1…

Q: Figure out the following limits, i they exist.(No L'Hopild Ioing Rale) in a) lim n- b) lim n² sin n-

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Q: 4. Let f:A-→R and g:B–→R where f(A) CB. Explain to prove that if f is continuous at Ce A and g is…

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Q: Differentiate the following using (a) forward difference method; (b) backward difference method; (c)…

A: We are given the following function.      f(x)=12 sinh(x) at x=1 Note: We will be taking the step…

Q: a) Find the Laplace transform of the following expression by using transform tables. f (t) = t³ +…

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Q: Find the values of x does the power series converge? п! n=0

A: Given:                          The power series ∑n=0∞xnn!

Q: In the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the angle a = angle…

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Q: Sol vet he Vol terra integral equationof first kind g(t) g(x-t)dt = 16 sin 4.æ.

A: Solution:-

Q: " IF R= 5B-2C find the value of the following r21 10 13 16 r31 11 #14 r22 #17 r32 12 15 r23 18

A: To find the elements of the matrix R .

Q: Given the quadric surface z = * + draw level curves (contour lines) for the heights c = 0,5, 10, 15,…

A: Given surface z =x24+y22 To draw , level curves for c = 0, 5, 10, 15, 20

Q: Use the root test to determine whether the series 8n° – n – 2 converges or diverges. 2n2 +n+ 2 n=1…

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Q: 1. A periodic function f(t) is given by a function where f(t)=. 3t for 0<t<3 For the given function…

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Q: az dz Suppose z is a function of r and y, and tan vy? +x2 3D "e6y. Solve for and

A: If x, y, z are related with the equation  fx,y,z=0then ∂z∂x=-∂f∂x∂f∂zand ∂z∂x=-∂f∂y∂f∂z

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: We consider the linear transformation T : R3 ------R 3 T(x,y,z) = ( x + 2y - z , -y + 4z ,5z) 1.…

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

Q: 3. Find the moving trihedral and the curvature at any point of R(t) = (ln(6t), e²¬t,5t).

A: Given R⇀(t) = ln(6t),e1-t,5t …………………………(1) The moving trihedral of R⇀(t)  at point t=1 (as in…

Q: Which one of the terms below best describes the data above Category • Numerical Qualitative

A: Let us solve the problem in the next step.

Q: Secant Method@x1 = 2; x2 = 2.5

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: Student Name : Compute the work done by the force along the curve (use defini- tion): F = [3r - y 12…

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Q: The indicial equation of the differential equation x2y" – x²y' + (1 +x)y-0 is: O r(r-2)=0 O…

A: Here we use basic formula of indicial equation

Q: 4. Fit a second degree parabola y = a + bx + cx? to the following data 2. 8. 10 y 3.07 12.85 31.47…

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Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations x –…

A: Here we can use following formula  AB→=B-A Angle between two vectors a→ and b→ is…

Q: Evaluate: e da using 1/3 and 3/8 Simpson's rule. Round off to 6 decimal places.

A: Using Simpsons 1/3 and 3/8 rule with 6 decimal places

Q: please re

A: Given: Function g(x,y)=cos(πxy)+1log3(x-y). To find: a) The value of ∂2g∂y∂x              b)…

Q: Evaluate F(1) e-2t Given: f (t)

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Q: Consider the differential equation (E): 2x²y" – xy' – 2y = 0. Given that y, = x2 is a solution of…

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Q: The weights of 40 pupils are shown below 35 43 52 39 62 54 58 37 44 62 43 48 53 42 55 37 45 50 40 46…

A: Making use of Tally method.

Q: 3 -3 Find AA if A = 5 4 -2

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Q: (b) Prove by Induction that (3i – 1)(3i +2) = 3n +6n2 +n for n21 i=1

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Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: