[[F(x, R th limits of integration B D -IT² f(x, y) dA = f(r cos(0), r sin(0)) r dr de (Click on graph to enlarge)

Q: A triangular sandpit having side lengths 5 m, 4 m and 8 m is to be constructed to a depth of 20 cm.…

A: The volume of a solid is calculated by multiplying the area of the base by the height/depth. The…

Q: Solve the system u = 3x-y, v= 3x + 2y for x and y in terms of u and v. Then find a(x,y) the value of…

A: The given system of equations is: u=3x-y and v=3x+2y Subtract u from v:…

Q: (D² - 4D + 4)y = 0; when x = 0, y = 1, Dy = - 1.

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Q: Draw a Venn diagram to represent each relationship. 1. Some people check out books 2. There are no…

A: We have "There are no freshmen in AP Economics" So, we need to have a Venn diagram such that…

Q: Determine the values of a where the function f (x) is not continuous. Label each discontinuity as…

A: Given function is continous for all real values of x.  As per given instructions,  Enter NA in both…

Q: 7. Prove that if v >-1/2 ; p) = L{xvJ, (; = xı-at-a) H

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Q: 1) 0.7 Estimate f(x) dx, 0 from the graph of f. Use the Trapezoid Rule. a) 2 b) 2.25 c) O 22.5 d)…

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Q: Find the average value of F(x,y,z)=x² + y² + z² over the rectangular solic irst octant bounded by…

A: Introduction: The formula of the average value of the function f(x,y,z) in the region E is given by,…

Q: 8. Let a be the plane that goes through the origin and has normal (1,2,3) and let 3 be the plane…

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Q: On January 1, 2022, Marites deposited P15,000 in a bank that offered 2.5% annual interest compounded…

A: Given that, Amount deposited on January 1, 2022 = 15000 rate (r) = 2.5% compounded monthly, So, n=12…

Q: 8. a n n+al |a b a-d+g b-e+h c-f+ i| If d 41-7771 e f = 3, find d e f h i h i

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Q: 3. Which is NOT the correct statement of a degree of a vertex? B F A) d(E)=6 B) (B) = 4 OC) d (C)-3…

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Q: 4-Let (Z12, +12) be a group and let S={4,6}, find subgroup H generated by S. if exist

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: As per the question we are given a 3d region S defined as the interior of the surfaces : z=x2 ,…

Q: Consider the constrained optimization problem: min f(x), subject to ||ï||₁ ≤ 1. We apply a projected…

A: Solutions

Q: Consider these functions: f(x) = 3 and g(x) = 3+2-5

A: Given,          f(x)=3x,   and     g(x)=3x+2-5

Q: 3. Let R be the region below bounded by the parabola y = 4 - 2² and the lines 3x - 2y +3=0 and y =…

A: Given the region below bounded by the parabola y=4-x2 and the lines 3x-2y+3=0 and y=0.

Q: Use Ackermann's Formula to find the observer gain L so that the eigenvalues of A-LC are placed at -3…

A:

Q: X 1 4 7 9 11 f(x) 12 -23 -15 33 -13

A: Lagrange's interpolation polynomial for n points can be defined as:…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Find the dimension of the splitting field of each of polynomials x+1 and x² - 2.

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Q: 5.1.7. (-) Construct a graph G that is neither a clique nor an odd cycle but has a vertex ordering…

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Q: [2 + m 3 1. Given A= 1 a. (AB)¹ - A b. |4A-¹ + 2B-¹| a. 2AB-¹ 1 2 -1 -1 4 5+ ml and B = [-1-m 2 91 3…

A:

Q: y'(0) = 1. y'(0) = -0.5 y'(0) = 0. y'(0) = 7. '0) = 0. )) = 4. )) = 2. y₂ (0)=0. x: (0)1 23) 4y"-8y…

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Q: Evaluate the integral L I sin (y²) dy dr.

A:

Q: 3. Suppose A € M5,5 (R) and det(A) = -3. Find each of the following: (a) det(A¹), det (A-¹),…

A: Given  matrix   A∈M5x5  and  det (A) = -3  i.e.    A = -3 (.)  If  any two rows ( columns ) of a…

Q: 5- prove that FR strºs de casºs de cosPᎾ sin Ꮎ 1 Add File

A:

Q: Find the solution. (4D³-3D + 1)y=0 A y = (₁+₂) ²¹/²+c₂e² Get ® By y = (c₁ + ₁₂x) e */2² + c₂e²r x/2…

A:

Q: e² = 4 cos(x) in [-1,1]

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to approximate the root of the equation:…

Q: la² + 2a 2a + 1 1 2a +1 a+2 1 31 3= (a- 1)³ 1

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Q: d) The open intervals on which f is concave down.         e) The inflection points.…

A: This is the application of Calculus.

Q: Use the three-point Gauss-Legendre formula to evaluate the integral dx Ső (2x + 1)²

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Q: II. Solve the following problems. Enclose final answer. 4 4. Given z = Find az/ax x+y "

A: Solution:-

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Consider the following LP problem: max 4x₁ + 3x2, subject to 3x₁ + x₂ ≤9, 3x₁ + 2x₂ ≤ 10, x₁ + x₂ ≤…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESU 4. Lim (2 4 Arctanx.

A: Solution:-

Q: 3. Let R be the region below bounded by the parabola y = 4 - 2² and the lines 3x - 2y +3=0 and y =…

A: The region R is bounded by the parabola y=4-x2 and the line 3x-2y+3=0 and y=0.

Q: 7.Find xy of z = 2x³-5xy²

A: ∂2z∂x∂y of z = 2x3-5xy2 This means Partial differentiation of z with respect to y and then with…

Q: List all the ordered pairs in the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6}

A:

Q: Construct a truth table to verify the following implication. p⇒pvq Construct a truth table for the…

A: p⇒p∨q

Q: 3. Let R1 = {(1, 2), (2, 3), (3, 4)} and R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3,…

A:

Q: 10. (a) Find two lines that are parallel to the plane (x, y, z) = (1, 0, 2) +t₁ (1, 2, 3) + t₂(4, 5,…

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Q: x(y" + 1) + y² = 0.

A: we have to solve given problems:

Q: 2. Evaluate: v2-du

A: A definite integral of a real valued function fx is the area under the curve y=fx between the two…

Q: The Laplace transform of the function u: [0, ∞) → R [(t-2)² + (t-2) sin(5(t-2)), for t > 2, =…

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Q: Q.10. Let [a, b] be an interval of R. Let f:[a,b]→R be a function such that f is M-times…

A:

Q: 8. Using the Runge-Kutta method of the fourth, solve y" = y + xy', y(0) = 1, y'(0) = 0 to find…

A: We take y'=z the Given equation is y''=y+xz,y(0)=1,y'(0)=0,y(0.2)=?…

Q: C64220 4) Find the volume of the solid whose base is the triangular region with vertices (0, 0), (0,…

A: We will find cross sectional area and then use integral to find volume

Q: Determine the equation of the radical function represented by the graph. +

A: The given graph as