Let I be the line given by the span of -8 in R³. Find a 9 basis for the orthogonal complement L of L. A basis for Lis

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Q: Find (3x + 2y)dA where R is the parallelogram with vertices (0,0), (3,-1), (4,-4), and R (7,-5). Use…

A: Given: R is the parallelogram with vertices 0 , 0 , 3 , -1 , 4 , -4 and 7 , -5. To find: I=∬R 3x+2y…

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A: To determine whether the given series is absolutely convergent or not.  We know that series ∑n=1∞an…

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A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: Find the inverse Z transform using two different methods: a) Partial fractions b) Direct division

A: We have to find the z transform of the given function using partial fraction and direct division.

Q: THEOREM 4.3.3 Tanh z, coth z. sech z, and each z are analytic func tions of z, except for those…

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Q: 2. Show that the set U = {A E Mat 3,3 (R) | AT and its dimension. -A} is a subspace of Mat3,3(R) and…

A: Skew-symmetric matrix: A matrix X is said to be a skew-symmetric matrix if we can write XT=X where…

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A: We will find parametric equations of line segment and then find line integral

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A: Consider an ordered pair as (a,b) a point. • Plot this point on graph.   • To check if it is a…

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Q: Which method is best for the claim: 2^n - 1 is prime for all n=2,3,4,... O induction O…

A: Counter example is best . Take n=11, Then 2^n -1 = 2047= 23*89 Therefore this is not prime.

Q: Find the center, foci, vertices, and asymptotes of the hyperbola. Then sketch the graph. (y-1)² 25 −…

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Q: Given f(x)=3x+1 Find ¹(f(2)). Step 1: Find ¹(x)= Step 2: Find f(2)= Step 3: Find ¹(f(2)) =

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Q: Question 6. If F(s) - -s²4s - 3 is the Laplace transform of f(t), find the following, correct to…

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Q: Let H be an r-by-r square matrix. Prove that (HT)−¹ : (H−¹)T =

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Q: A committee of 4 students is to be selected from 15 students in a fraternity. a. In how many ways…

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Q: Find SS₁ (2x + 3y)dA where R is the parallelogram with vertices (0,0), (-2,-5), (5,1), and R (3,-4).…

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Q: 2A. Solve for y' (x) and y" (x) and transform the given ODE in terms 2B. Determine the…

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Q: Find the scalar potential for the conservative field: F(x, y, z) = 12xyi + (6x² − 6z²)j + (−12zy+9)k…

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Q: Use the multiplication principle to solve. A home improvement store website listed 272 different…

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Q: Suppose T is a transformation from R² to R². Find the matrix A that induces Tif Tis: a) rotation by…

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Q: Question 2. Express the function f(t) = in terms of unit step functions and hence determine F(s),…

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Q: 3 : F = 2yi + 3xj, 6 = ³x³ + 2xy, and h = y — 4x². Let (a) Find each of the following: F-V6 = Vh=…

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Q: Calculate line integral A (−9, 6, −9) to (–9, 8, 3). F. dr of conservative vector field F(x, y, z) =…

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Q: Verify the following equation. F[sin(wot)H(t)] ولا 2 - ل + - [8(w + wo) - 8(w - wo)].

A: The objective is to evaluate convolution of the sine function and Heaviside function with initial…

Q: The graph of a curve C is given below. -5 5 0 5 -5 a. If D is the transformation of curve C created…

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Q: a. Find a logarithmic function that models the rate, y, as a function of the number of years after…

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Q: y = 1 -(x-2) ²-1 F(x) = x² - 6x y = 1 y = I 2x-5

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Q: -8 ‒‒‒ --- I 19 124 Tem A 2 1 2 3 X F FS NK 0 == 00 10 Y

A: 11. Determine the equation of the polynomial function represented by the graph given.

Q: 3. Two ordinary differential equations in terms of unknown functions u(x) and v(x) are given below.…

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Q: e function f(t) is defined by t-4 0<t≤2 5 2 <t<3 =h f(t + 3) = f(t). aluate f(-1.4), f(0), f(4.9),…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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Q: 61 ^-[82]·~-[~-~3] f(t)= 52 A = 13 -5

A: To find the general solution of the non-homogeneous differential equation. by using the method of…

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Q: Evaluate. fos z z sin z dz =

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Q: 9. Find the dot product of the following pairs of vectors. a. u= (1, 3), v = (5,-2) b. = (9,-4), v =…

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Q: For this exercise, round all regression para O 10 20 30 40 The following table shows national health…

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