the centroid z of the frustum of the right-circular cone.

Q: 3 Factorise completely the expression 2x³-11x²-20x-7.

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Q: H.w 3: Apply the Trapezoidal rule to evaluate Sofia+ 2xydxdy (1+x²)(1+y²)' 2030 10+ PILO)S…

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Q: * Consider the following matrices 1 0 0 1 1/2 3 4 ^ - (-:2 7) ³ - († ;) -- (6 47² : ;) -- () - (::…

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Q: Given the following data. 1 1.5 2.2 2.5 3 Y 4.5 5.501 11.248 15.625 26 i. The relationship of x and…

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Q: 8: What are the values of k E R for which the function f(X) = -2kx² + x₁x² + 4x will have a strict…

A: Let us solve the calculus problem in the next steps.

Q: (2x + 1)2y" - 6(2x + 1)y' + 16y= 8(2x + 1)²

A: To Solve: The differential equation (2x+1)2y''-6(2x+1)y'+16y=8(2x+1)2.

Q: x1 + x2 + x3 = 0 x4+x₂+2x3 = 0

A:

Q: gi are stuck in Borderland and are now asked by t olves 4 doors. Arisu must decide between the lig…

A: "Nash equilibrium is computed from a payoff matrix which represents the payoffs of each players from…

Q: k It is known that ( + (₁ ²₁₂) + (k) = (²+¹) (k + 1). Prove that r - 2 (k) + ( k + ¹ ) + ( k + ²) +…

A: We will use given formula and value of nr . nr=n!r!×n-r!

Q: x³y" + xy' - y = 0 ; y=x

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Q: -31 B -9 .The QR factorization of -6 [/²/3 - 1/√√/2] 3√√2 = √2 2 0 - 1/2 √2) (a) Applying the QR…

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Q: 11: Given the function f(x) = 8x² - 4x₁x₂ + 5x² and Xo = [5 2]. Then G¹g at Xo is equal (( G is the…

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Q: Find the Fourier transform of 6e-lt

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Q: Consider the differential equation dy (yt)¹/5 (y>0, t≥ 0) = dt (a) State the form of the…

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Q: Express the signal, ?(?) shown below as a sum of Fourier series and then in terms of the sin-cos…

A: Given that: The minimum and maximum values are -1 and 1. The objective is to express the signal. Now…

Q: Find the Z-transform of the following sequence/function (with ROC). Show complete solution. 2. x(n)…

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Q: 23 22 - - (4 + 6i) z² − (5 - 10i)z = 0.

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Q: 4: Which of the following functions has gradient vector [4x₁x₂2 2x² 3x3]¹? A: f(x) = 2x³ + 2x³ +…

A: To find: Which of the given functions has the gradient ∇f=4x1x2  , 2x12, 3x32T.

Q: Evaluate the integral by completing the square and using trigonometric substitution. dx s √5 + x −…

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Q: Find r'(t). cos 4 cos³(t)i + 2 sin³ (t)j + k r(t) = 4

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Q: Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of…

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Q: 3. Find the volume of the solid generated when the region enclosed by y = √2x+8, y = x, x = 0 is…

A: To find the volume of solid generated when the region enclosed by y=2x+8, y=x, x=0 is revolved about…

Q: find range of y 1 1 X-2 R/{1,2} O R/{2} O R/{1} O R/{0,1} O 1-

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Q: 12: Apply Newton's method with line search for f(x) = x₁-x2 + 2x² + 2x₁x₂ + x2 with a starting point…

A: We have f(X) = x1-x2+2x12+2x1x2+x22

Q: Let V be a n-dimensional vector space over F. Suppose W1 and W2 are two (n − 1)-dimensional…

A: It is given that V be an n-dimensional vector space over F and W1 , W2 are two (n-1)-dimensional…

Q: temperature T of a heated circular plate with the origin being at the center 64 T(x, y): = x² + y² +…

A: The given problem is to find the rate of change of temperature equation from the given point and in…

Q: Determine S10 for the series 200 +100 + 50 +....

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Q: 2. Consider the plane z = 4 - x - 2y. (a) Please find the distance from (1,0, −2) to a point (x, y,…

A: The given plane is z=4-x-2y To find: (a) the distance from (1,0,-2) to the point (x,y,z) on the…

Q: 22. Represent the graph of the following functions using a sine and cosine function. 323 124 10 8 m…

A: The general form of the function is f(x) = Asinkx+M or f(x) = Acoskx-π2+M Where M is the midline, A…

Q: 0.7 0.6 H.w1: evaluate fofex siny dx dy J0.2 i) using the trapizodial rule in both direction, Ax =…

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Q: 6. Find the derivative of y= 2x² (3x-4). A. 6x³8x² B. 18x² - 16x 7. Find the derivative: f(x) =…

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). please solve in steps…

A:

Q: Consider the differential equation dx t5 = dt t6 +3 (a) State the form of the differential equation…

A: There are many different methods that are used to solve a first order ordinary differential…

Q: Find the common solutions to the congruences 2x 3x 1 (mod 5) (mod 6) 1 (mod 7). 9 4x

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Q: Find the line that best fit the data 2 [8] [8] [3]- "

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Q: A group of 12 students have to decide among three types of pizza: sausage (S), mushroom (M), and…

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Q: If f(X) is a convex function, then ef(x) is also convex function. O True

A: We have to check whether if f(x) is a convex function then ef(x) also convex. As per policy…

Q: *Consider the following matrices 3 A=(-₂3³) B-(²5) C- (1²82) B= C= D (1)-( : ) E 0 1 0 9 30 2, (a)…

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Q: f(X) is a convex function, then ef(x) is also convex function. True

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Q: 5. i) A population of yeast cells can triple every 4 hours. Assume an initial population of 20…

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). please solve in steps…

A:

Q: Given three matrices 1 A (3) 05 02 c-(; 3) C = 1 1 1 D -(0) Determine the matrix B such that (A + B)…

A: Matrix B is found by comparing entries

Q: A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29° and 53° with…

A: We have to find tension in cable.

Q: mperature T of a heated circular plate with the origin being at the ce 64 T(x,y) = x² + y² + 2 point…

A:

Q: 6: [1 The rank of the matrix A = 4 15 True O False 2 2 5 7 31 6 is equal to 3. 9

A:

Q: Give all the integer solutions of the congruence 56x-12=0 (mod 23).

A: Given congruence 56x-12 ≡ 0 (mod 23) i.e., 56x ≡ 12 (mod 23) i.e., 10x ≡ 12 (mod 23) We know that,…

Q: 6. Given the function ƒ (x) = x² + x − 3, find f (x + 1). 7. h(x) = 2x+ 1, find h(3) 1 8. Given f…

A:

Q: s ago, he has not finished his thesis yet. nce between the brackets, correct? If

A: To explain the true or false as,

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). please solve in steps

A:

Q: x=3 Qs. A: Find * x²dx by using Riemann integral.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…