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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: Here we use basic integral formula of shell method to find the volume.

Q: 2. Prove the following properties of Discrete-time Fourier transform (DTFT). DTFT DTFT DTFT 1 if…

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Q: Question 5 Write down the quadratic form corresponding to the matrix. [1 2 -31 A = 0 3 lo o -2] 2

A: Given A = 12-303200-2

Q: * Solve x(t) and y(t) simultaneously, if the differential equations of a system are defined as…

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Q: - |-- | 3 and Au = | 1 then A(-2ü + 20) = Are the following statements helpful? Proposition 3.19…

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Q: Which of the following is true about the function y=x +1? i. All points on the graph are above the…

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Q: Data were collected to determine the most preferred fast-food chain in the country. Choices were…

A: The candidates are Jollibee(J), McDonald's (M), KFC(K), and Shakey's(S) whose voting table is given…

Q: Find the harmonic conjugate of the harmonic function u = 5ху - 4х + Зу

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Q: Determine the general equation of the plane 2 passing through the point P(1,-4,-5) and parallel to…

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Q: Given: 2a + 5b + 3c = 2 3a + b - 2c = 3 -a + 2b + c = 1 Identify the coefficient matri A and the…

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Q: . Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: Here we use the basic form of revolution of curve around X axis

Q: Let E be the 3 x 3 matrix that corresponds to the row operation R3 = R3 – 3R1 (a) Find E 1. E 1= 26…

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

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Q: -4x1 +5x3 = -3 %3D -3x1 +3x2 + 5x3 3 2x2 + 2xa = -1

A: Write the equations in matrix form as follows -405-335-122x1x2x3=-33-1 (A) Find the inverse as…

Q: (a) Fibonacci posed the following problem: Suppose that rabbits live forever and that every month…

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Q: You are transferring to a new house. You have a collection of books but you cannot take them all…

A: 7 books out of 10 can be selected in C710 ways in the shelf 7 books can be arranged in P57 ways.

Q: Find the solution of the following heat conduction problem using the variable separation method. ôT…

A: The given problem is to solve the given heat conduction problem partial differential equation with…

Q: 2 -31

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Q: Evaluate the double integral where D is the region bounded by the circle z² + y? = 4 above the line…

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Q: Q3: a) Find an equation for the plane through P(0,1,-2) perpendicular to n= 3i- 2j+k

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Q: 4.1 Consider the three permutations in S6: 1 2 3 4 5 6 4 5 6 2) 3 1 1 2 3 4 5 136 5 2 4 1 2 3 4 5 S…

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Q: 2. In the differential equation 4(3x+ y- 2kdx-(3x+ykdy=0, we let the substitution dw=. 3. In the…

A: 2) We have given a differential equation ,  43x + y - 2dx - 3x + ydy = 0 Here , we need to use…

Q: Show that F has a fixed point (b) La B væte 3 x 3-matrisen og la F = By+0 Vis at F har et fikspunkt.…

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Q: 1- Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 - 3j

A: Z=2+5j compare the complex number with z=a+bj a=2b=5 find the modulus r  r=a2+b2=22+52=4+25=29…

Q: Find the z values for each of the following x values for a normal distribution with mean = 30 and a…

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Q: Evaluate the double integral f(r, 0) dA. ' π/2 re dr de

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Q: Find T, N, B, K and t for r(t) = ti +÷e2tj whent = In 2. %3D

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Q: yct)= sin 2t cos 34

A: Given: y(t)=sin2t cos3t

Q: Question no. 3 Use the inversion algorithm to find the inverse of the matrix (if the inverse…

A: Q3 asked and answered.

Q: Given the z value, find the are under the normal curve for the given parameter: To the right z =…

A: From the table values of standard normal variable Z At Z=0.97 The table value is 0.3340 The area to…

Q: y ct) = sin 2t cos 34

A:

Q: 3. Fill the last column of the truth table from top to bottom. (Note: Type your answer WITHOUT…

A: The truth table for Q∧R is shown. Q R Q∧R T T T T F F F T F F F F The truth table for…

Q: Question 4: Let T be defined as T (v1, v2, v3) = (vl1-v2+v3, v2-v3, v1+v2) a) Find the image of (1,…

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Q: Find the solution of the following heat conduction problem using the variable separation method. ôT_…

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Q: Find the z values for each of the following x values for a normal distribution with mean = 30 and a…

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Q: 3. f Ct) 2 (3t-5) e 4t

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Q: 24. Which is the recursive definition of the set of positive integers that are multiples of 4? * aj…

A: We have to find the correct option which represents the set of positive integers that are multiples…

Q: nd r'(t), r"(t), and r'(t) · r"(t). r(t) = 4 cos(t)i + 3 sin(t)j a) r'(t) b) r"(t)

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Q: envector for this eigenvalue. e the following problem WITHOUT computing all eigenvalues. -4 -6 -2 B:…

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Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

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Q: 6. Which of the following statements is false in a metric space (X, d)? (a) Every Cauchy sequence is…

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Q: Q1\calculate x1, x2, xn from the following equations: -3x1 + 9x2 + xn = 2 5x1 - 2x2 + 3xn =-1 %3D…

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Q: Find C(18, 4). 73 440 4 896 3 060 2 400

A: Combination using formula

Q: 1. For the following, show that KB does not entail a: a) KB = {(pVr) =¬q, ¬r = q}; a = (p=r) b) KB =…

A: for the following show that KB does not entail α: a) KB=p∨r⇒¬q , ¬r⇒q ; α=p⇒r b) KB = p⇔q ,¬s∧p  ;…

Q: Here is the region of integration of the integral dz dy dx. Top: y + z 1 Side: y = x2 (-1, 1, 0) (1,…

A: Please post the multiple parts separately. Here I answered 1st three sub parts as per our policy.

Q: . Let 7 = {rn}~ be a sequence of real numbers. Prove that the limitpoint set of T is a closed set.

A: Given that x¯ = xnn=1∞ is a sequence of real numbers . We have to prove that the limit point set of…

Q: (b) L = (xD – 4+ 2i)(xD – 4 – 2i)(xD – 5)² and L[y) = VT + sin(2 ln(x)) + 7x5 |

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Q: Show that the column vectors (1,1,2,4), (2,-1,-5,2), (1,-1,-4,0) and (2,1,1,6) vectors in R are…

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Q: Exercise II.44. Let B be the transformation Rjo T(1.2.0) . B((0,0,0))? Give the 4 x 4 matrix…

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Q: 2] -1 1] a. Find SVD from A 1. A = [4 | b. Find SVD from A invers 2. A = [; : : 8] 1 0 0 0 a. Find…

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