Set up a sum of definite integral(s) that is equal to the volume of the solid whose base is R and whose cross-sections perpendicular to the x-axis as equilateral triangles.

Q: Newton Raphson ● Solve for the root of f(x) = 5x5 4x³ + 2x1 where xo = 11 3x²-1 Solve for the root…

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Q: The following are pen-tracing puzzles. For each shape, can you find a way to trace the shape without…

A: We need to determine if we can trace the given curve without repeating the same line twice. We can…

Q: computations and the sketch of the graphs 1. F velution formes by retal bour ah is. -U₁ and y = 10…

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Q: Find the Laplace transform of the following: t, 1. g(t): (t - 4)², (9t - e20-4t t<3 3 ≤t<5 t≥ 5

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Q: 16. The graph below has an A) Euler Tour OB) Hamiltonian Cycle OC) Both D) Neither

A: The given graph is

Q: Convert each pair of polar coordinates to rectangular coordinates. 5π 7) 2, 3π 2 8) 1,

A: To convert each pair of coordinates to rectangular coordinates.

Q: Let X be a set. Let P be a set of subsets of X such that: • ØEP; • the union of all sets A E P is X.…

A: Solution:-

Q: Let X be a set. Let P be a set of subsets of X such that: • if A and B are distinct elements of P,…

A: This is a problem of set and Relation.

Q: 4. A rectangular box has sides of length x cm, y cm and z cm. Sides x and z are expanding at rates…

A: Solution

Q: H.W (2) Find Laplace Transform for 1-f(t) = 2t³; 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 3–f(t)=sinh(2t);…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Using Trapezoidal method ²x³dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: To estimate the integral using Trapezoidal rule.

Q: What is the equation of the graph below? 1 3 r = 1-2 cos 0 Option 2 r=2-2 sin 0 Option 3 r = 1 + 2…

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Q: Let (G, 0) be a group and x € G. Suppose H is a subgroup of G that contains x. Which of the…

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

Q: = a) (x² - 4xy - 2y²)dx + (y² - 4xy – 2x²)dy

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Q: Derive interpolating polynomial for log₁0 1=0, log₁, 2=0.3010, log, 3=0.4771, and hence calculate…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 2. g(t) t, (t-7)², (11t-e21-30, t< 4 4≤t<7 t27

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Q: Find the minimal polynomial of 2^(1/3) + i over Q.

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Q: Nina would like to buy burger. She went to the restaurant and has been offered to buy a meal-deal.…

A: As per the question we have to find the number of ways a meal-deal can be formed if Nina prefer : A…

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

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Q: 4. Find the inverse z-transform of X(Z) = (22-4) (2+3) Xx and also find o, 1,

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Q: 3. y"-y'-6y=t²e³t-4t², y(0) = 0, y' (0) = -1

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Q: Given the following: xex - COs x = 0

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Q: Approximate the volume of the solid in the first octant bounded by the sphere x² + y² + z² = 64, the…

A: We have to find an approximate the volume of the solid in the first octant bounded by the sphere…

Q: A particle is moving along the path given by R(t) = (sin(In t), cos (Int), √3 lnt). (a)…

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Q: f(x) = 4xe-2x+3x √5x ; ƒ' (2)

A: Use the following finite difference formulae, to compute the first derivative of the function fx.…

Q: Show that Lij = (0²/jq). n=- - (aj q). din. This shows that the derivatives of the normal can be…

A: As per the question we have to show the given relation between the derivative of the normal and the…

Q: Which among the equation represents for equating the coefficient of x form 3x+2 = (A+B+C) x^2 +…

A: To find The equation that represents for equating the coefficient of x. And to find the value of x.

Q: A faucet is turned on and water flows out at a rate of gallons per minute, where t is the number of…

A: We need to use integration to find total volume of  water comes flows out . To find value of…

Q: Use the matrix 1 0 11 E -1 1 0 0 1 2 to obtain the Hill cipher for the plaintext message "HELP ME".

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Q: Find the Laplace transform of the following: 4. y + 2y" - 11y' - 12y = 11t-9, y(0) = 0, y' (0) = 0,…

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Q: 17-18. cos30°sin45° + sin30°tan30°

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Q: Q1. Find the Lagrange interpolation polynomial for the function y = f(x),and find the value of…

A: Introduction: Polynomial interpolation is the interpolation of a given records set via way of means…

Q: Simple problem using inverse of matrix with solution

A: We have to write a problem of the system of linear equations and we will find the solution of the…

Q: The two vectors s= (3,2,-1) and t = (-2, 1,4) define a plane. (a) Determine the unit vector normal…

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Q: Problem 2: Evaluate the integral using the composite trapezoidal rule with the indicated number of…

A: The trapezoidal rule states that: ∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn), where h=b-an and n is the…

Q: @ Fs [ f ² (x)} = √√ = Pf (o) - P² Fs {f(x)} proof: How.

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Q: Let f(x) be an irreducible ow that all roots of f(x) =

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Q: 7. The lower quartile of 50 students in their final test in Mathematics 10 is 20. Which of the…

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Q: Choose the CORRECT statements for the differential equation: y" -8y' + 16y = 0. I. The…

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Q: r = sin +2cos²

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Q: 12. The position of a particle moving along a straight line is given by the function S(t) = 2sint +…

A: s(t) = 2sint + 5cos2t

Q: lim (sin() + cos (+))* x →∞

A: We have to find value of given Limit.

Q: 2. y'" - 4y" + 5y' – 2y = 7t — 5, y(0) = 0, y'(0) = 0, y'(0) = −2

A: 2

Q: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

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Q: Name the characteristics of the graph that is created by the equation below. Remember that…

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Q: Find Maclaurin series for the following functions 1) e-sx Ans. n=0 (-5.x)" n!

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Q: 4. Find the solution for the following y""+y"+ 2y = 3 y(0)= 1, y(0)=1,y)=1

A: Solution :-

Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. Any point in…

Q: Let w=f(u) + g (v) s where u = x+iy and V-X-iy, show that w Satisfies the Laplace ear. Wxx + Wyy=0…

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Q: Q1) Consider the group (Z). Define the map f: Z× Z → Z by f(a, b) =a₂ (1) Show that f is a…

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