Determine the y-coordinate of the centroid of the shaded area shown. 12" Parabolic 5" Answer: y = i 8" 1x in.

Q: Determine the x- and y-coordinates of the centroid of the shaded area shown. 8" 17" 3",3" -1.50" 17"…

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Q: Suppose V is a vector space and S, T = L(V, V) are such that Range Scker T=null T. Prove that (ST)²…

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Q: Consider the equation where x1,x2,...,x9 € N. How many solutions are there if: a) b) c) Xi 9 for all…

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Q: 011: Use Euler's method to calculate the first three approximations to the given initial value…

A: According to Euler's method, for a differential equation of the form; dydx=f(x,y)…

Q: Q4. (a) The diagram shows a triangle ABC. A (ii) 5 cm C 6 cm B The lengths of AC and BC are 5 cm and…

A: For the given problem  Angle ACB= 123.6 Deg. Side AB=9.70 cm

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Q: Find the required probabilities using the exponential density function RE), (0.-). The time t (in…

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Q: Question 13 Suppose f: RR is continuous, and let a, b, E R. For which choices of a,b is the function…

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Q: Use separation of variables to find the general implicit solution to the differential equation. 4…

A: Given that:  4dydθ = ey sin2θy sec(θ) So, by using variable separable, we getyey dy = 14. sin2θ…

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Q: QUESTION 4 Using the definition of convolution find the convolution of the following functions (f*g)…

A: We find required Convolution.

Q: ght adults were asked how many different jobs they have had. Their answers are shown in the line…

A: 0

Q: The paths of two dolphins playing in the ocean were recorder some biologists. The first dolphin's…

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Q: Consider the subspaces of R5 U = span {⃗u1 = (1, 3, −2, 2, 3), ⃗u2 = (1, 4, −3, 4, 2), ⃗u3 = (2, 3,…

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Q: Given the recursive formula, ƒ (n) = f (n − 1) + f (n − 2), n ≥ 3, and f(1) = f (2) = 1. What is f…

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Q: la survey, 200 shoppers were asked whether they have access to a computer at home and if they have a…

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Q: y"-2my' + m²: = memx √x

A: Use m = 7 in given differential equation Then we find genral solution of thet diferential equation…

Q: Determine the height h above the base of the centroid of the Assume a = 11.60 in., b = 13.10 in., c…

A: given a=11.60 inb=13.10 inc=1.49 ind=5.49 ine=0.59 in determine the height h above the base of the…

Q: Q14: Use Euler's method to calculate the first three approximations to the given initia value…

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Q: find the fundamental group of X := {(x, y, z) = R³|(x² + y²) (y² + z²)(x² + z² − 1) = 0}

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Q: The points A, B and C have coordinates (3, -2, 4), (5, 4, 0) and (11, 6, -4) respectively. Find the…

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A: Please look into the next step for details

Q: STQM2103 Discrete Structure 10. Let A = {a,b,c,d,e), R and S are two relations on A as defined…

A: Since you have posted mulipart questions, according to our guidelines we will so be first three part…

Q: 9. [Ine Z) is a subgroup of GL2(R) under multiplication. a) Prove that H = { b) Show that His…

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Q: If sin(x) = (in Quadrant 2), find 9 10 Give exact answers. sin(2x) = cos(2x) = = tan(2x) Submit…

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Q: What is the general process to fit random 3D points to a surface?

A: Hint: Here 3D points are given we need to plot them on a surface. Write the general process to plot…

Q: Sketch the region of integration and evaluate the following integral. SS- R 4+ -dA, R={(r,0):…

A: We have to evaluate the integral

Q: A= 2. Give an example of a matrix, A, whose column space is in R³ and whose null space is in Rº. T-2…

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Q: 1. Given: [(4x + 3)²D² - 12(4x + 3)Dx+64]y = 16[(4x + 3)² sec² (In 4x +31)], what special case is…

A: 1. Given [4x+32Dx2-124x+3Dx+64]y=164x+32 sec2ln4x+3 what special case is this?   2. Given…

Q: 1. Let A be the surface with the equation given by 4x² - 9y² = 9 (z²+ 4). a. View A as a surface of…

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Q: (i) (ii) Calculate (2 + i√5)(√5 - i). Hence verify that (√5 - i) is a root of the equa (2 + i√5)2 =…

A: (a) The given expression is 2+i55-i Multiply the terms in the given expression…

Q: 6. Find the value (7) for a solution (x) to the initial value problem: y” + y = sec³ x; y(0) = 1,…

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: 24. Let S denote the multiset {o e₁,00 e2, ∞ ek}. Determine the exponential where ho 1 and,…

A: Let us write  the multiset first...and name it as S Then we will define g(x) Given h0=1 n>=1…

Q: Suppose that v1=(2,1,0,3), v2=(3,-1,5,2), and v3=(-1,0,2,1).  Which of the following vectors are in…

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Q: 1. Prove (An B) SAUB No. 1. 2. 3. 4. 5. 6. 7. Statement EAN B rEA and EB 2. EA or re B Reason Given…

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Q: (a) Find x, y, z and B, where Го 3 A = 1 -3 y 4 4 ; A² = 1 ; c(4+1)+3BT = 2A and I: unit matrix

A: (a) To Find: x, y, z, and B, where A=0x31-3yz44;   A2=I;     cA+I+3BT=2A and I:unit matrix

Q: 30. (i) Verify that Hall's marriage condition is satisfied for the family {A₁, A₂, A3, A4, A5, A6}…

A: Hall's marriage condition is defined as  let S be the family of finite subsets of X, where the…

Q: r = 3cm 1 cm 10 cm a) How much liquid candy must be poured to create the candy portion of the…

A: We can see that the shape is a combination of a thin cylinder and a rectangular prism.

Q: 1a. Set up the characteristic equation and own value for A 1b. Set up a diagonalmatrix D and an…

A: Given that A be                        344-3

Q: 8. Solve the linear congruence, 30k + 14 = 5(mod 11).

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Q: 1. 1 3 2 3 1 6 5 4 5 39785 Given the matrix A= 2 (a) Find a basis each for N(A) and C(A). What is…

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Q: Let u= (1,-1,0,4) and = (1,-1,2,0). Find a vector WE R4 that satisfies - 2 w). 4u wü.v(u =

A: The explanation is as follows

Q: Considering 5uxx+2Uxy+3Uy+4U-9xyu,+7u=0, (6) Identify the type of the partial differential equation.…

A: Given :    5uxx+2uxy+3uyy+4ux-3xyuy+7u=0 To Find : (a) Type of partial differential equation…

Q: If sin(x) = = Give exact answers. sin(2x) = = cos(2x) = tan(2x) 9 16 = (in Quadrant 4), find

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Q: The velocity of a falling parachutist is given by the function. Using Newton-Raphson method compute…

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Q: Consider the smooth parametric curve C₁ defined by equations t³-t²- 2t Xx y = = (161²- 48t +35) NIW…

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Q: Problem 2. Let A be a 3 x 3 matrix and b € R³. The solution set of the lin (written as matrix…

A: Given that A is a 3×3 matrix and b∈ℝ3. The solution set of the linear system (written as matrix…