Find an approximation using linearization techniques. Please do not use the table of values. sin(3.19) =

Q: Find the general solution to the homogeneous system of DE: -3 x' = Ax where A = 3 15 -3 3 18

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Q: Question 28 Let W be the subspace of R with basis {(1,-1,1,1), (1, 1,-1,1)}. Find the projection of…

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Q: The eigenvalues of A will be complex conjugates. Analyze the stability of equilibrium (0,0). Is it a…

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Q: 1 s S xe^ dx dy xy 0 0 –1 2.

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Q: , Find and classify all critical points of the function f(z.y, z, w) = + +322 + u + 3ry + 6zz + 5zw…

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Q: log (a cos 6+6° sin 8) do=T log a+b a>0, b>0.

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Q: 6. Compute the projections of [1, – 1,0, 1] on the vector [0, 1,0, 2]. |

A: Let v = [1, -1, 0, 1] and u = [0, 1, 0, 2]

Q: s3-2s2+5s-9 a) R(s) = s2 (s+3)(s+1)

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Q: Given T-1 = (2 + y)i + (x – 3y)j what is the value of det T|? 07 O-7 O 17 O -1/7

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Q: i need the answer quickly

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Q: Let V = M2x2 with inner product (A, B) = trace(B" A). LetA= B 4 0. -2. Then (A, B) and ||B|| All…

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Q: Let F be a field and letIc F[X] be the subset of the polynomials for which -1 is a root of…

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Q: Using Simpson's rule, what is the approximate value of ſ dx with n 10?

A: Given that, the integral is ∫0211+x3dx and the value of n=10. Note that, the Simpson's rule…

Q: Consider the following functions T :R³ → R². Show that each is a linear transformation and determine…

A: We have to show that T : ℝ3→ℝ2 is a linear transformation. We have to determine the matrix A such…

Q: (b) x" – 2x' + x = 4e'.

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Q: Find the Inverse of the following matrix: 1 07 A = -1 2 -2 A-1 = NOTE: the entries in the inverse…

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Q: 4. In each part below, give an example of a function which satisfies the given criteria. Justify…

A: (i) Find an example for a function f whose domain is -1, 1 such that limx→0+fx=3 and limx→0-fx=-2.…

Q: Which of the following is the shortest distance? * 80,000 feet 30 kms 50,000 yards 28 miles

A: We have to find shortest distance.

Q: (a) Graph G, Graph G2 (b) Graph H, Graph H2 Figure 7-58 Graphs for Exercise 1. 2. Explain why graphs…

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Q: Question 6 7 0 0. Consider the matrix A = 0. 0. -5 State a basis for the eigensnace co

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Q: For the maximum flow network diagram shown below, what node is the source and what node sink? 23 11…

A: We are given the directed graph.

Q: Determine the domain and range of the given functions. Then sketch the contour plot of function…

A: We have to find the domain and range of the function fx, y=2y2+6x2+32+6. The domain of the function…

Q: 1. a) Convert the hexadecimal number 2AC.5 to decimal. b) Use the Euclidean algorithm to find the…

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Q: Construct the LP model in standard form depieted in the following figure. (0,0) (6, 0) (2, -1) (6,…

A: Objective line is passing through 6,0 and 0,-5. So, Z = 5x-6y-30 Equation of line passing through…

Q: 2. Show that (p→r) v (g→r) and (p ^ q) → rare logically equivalent.

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Q: A certain cake recipe is to be baked at a temperature of at least 360 degree Fahrenheit, but not…

A: 360°F<Temp<450°F Change this range to celsius.

Q: f(x, y) dy dx y 2.0 1.5 8 10 1.0 4 0.5 6. 2 3 0.5

A: In the given question, the area of integration is applied. Integration Integration is a method of…

Q: a) Show that the distance between the parallel planes Ax + By + Cz = D1 and Ax + By + Cz = D2 is |D1…

A: (a) To show that the distance between two parallel planes Ax+By+Cz=D1 and Ax+By+Cz=D2 is…

Q: Find the Taylor series centered at x for the given function. f (x) = cos(4x) = COS

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Q: -2 3 Consider the matrix A = 4. %3D 1 Which of the following statements are True? Select ALL that…

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Q: Question 24 Let A be a square matrix with characteristic polynomial det (A) = (X+2)X(X-2). Which of…

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Q: All prime numbers greater than two are odd. 3 is a prime number greater than two. Therefore, 3 is an…

A: Let us define some predicate variables.  Prime(x) = x is prime Gtwo(x) = x is greater than two…

Q: In the set A = {1,2, 3, 4} is defined a relation R by ? = {(1,1), (1,3), (3, 4), (4, 3)}. ndicate…

A: Given A = {1, 2, 3, 4} R = {(1, 1), (1, 3), (3, 4), (4, 3)}

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: We have given a series , ∑n=1∞ -1n-1 6n4 We need to find how many terms of the series do we need to…

Q: 0. 4 9. Consider the Leslie matrix that represent the development of a population of a 0.7 0.3 0…

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Q: Let R be the region bounded by the curves y? = k(x- 1) and y = m(x- 2) as 2. shown in Figure 1. y? =…

A: We will use given relation between m and k and intersecting point to find values of m and k  . To…

Q: find the mode of 9,12,15,15,19,20

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Q: 0 2 1 f). y" + 4y = g(x) ;y(0) = 3 and y'(0) = 0 where g(x) {-1

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Q: Let u = (-3, 2), v = (2,-2) and A= NOTE: Give eract answers. (a) Find u relative to the inner…

A: Here given u=-3, 2, v=2, -2 and  A=1121

Q: Find the Taylor series centered at x 3 for the given function. f (x) = In(x + 2)

A: We have to find the Taylor series of f(x) at the centered at x = 3.

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A: To find the fluid force on the vertical side of the tank, where dimensions are given in feet.

Q: Which of the following is longer than 600 meters? * 60 dekameters 23,000 inches 2,000 feet 600 yards

A: Solution

Q: Find the general solution to the DE using the method of Variation of Parameters 8 у" — 4у 3D e 2x +…

A: Introduction: The formula of the particular solution by the variation of the parameter of the…

Q: Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z? =…

A: The function in the form f(x,y,z)=C is called a multivariable function. If z=g(x,y), then the…

Q: Let S be the subspace of P3(R) consisting of all polynomials p(r) such that p(0) = 0, and let T be…

A: The given vector space is ℙ3ℝ. The standard basis of the vector space is p1x=1, p2x=x, p3x=x2,…

Q: he face of the right triangular

A: Given,

Q: Show that if u, v, w, and r are any vectors, then a) u x (v x w) + v × (w × u) + w × (u x v) = 0 b)…

A: Given a u×v×w+v×w×u+w×u×v=0b u×v=u.v×ii+u.v×jj+u.v×kkc u×v.w×r=u.wv.wu.rv.r

Q: hold for the funct terval 1 < x < 2 at

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Q: . Suppose you want to have $400,000 for retirement in 20 years. Your account earns 5% interest…

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Q: be a field and A be the subset ol the polynomials Tor which -1 is a rool of multiplicity 2 2022.…

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