Q5) Solve the following using Trapezoidal rule with n6 f(x) = f*xinx. dx

Q: Let y = 5x³(x7 - 5) Calculate the derivative using the product rule. f(x) = and g(x) = which means…

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Q: find y dy dx 2x-1 x-3 for the following functions b) y = x³e-x

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Q: 5. Find the volume of the solid generated by revolving the area of a circle: (x - 2)² + y² = 4;…

A: In this question, we need to find the volume of solid generated by revolving the area of the given…

Q: Find a particular solution yp of the following equation. Primes denote the derivatives with respect…

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Q: Find the volume of: the area bounded by the curve y2 = 9x and the line x = 4 revolved about x = 4.

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Q: Solve the following initial value problem. y"-2y' + 2y = 7x+1; y(0)=3, y'(0) = 0

A: The given initial value problem,y''-2y'+2y=7x+1; y0=3, y'0=0

Q: Find fog and go f. f(x)=√√x-6, g(x) = x³ + 1 (a) fog (b) gof Find the domain of each function and…

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Q: Find the B-matrix for the transformation x-Ax when B= (b₁,b₂, b). -7-72-18 A= 1 17 5. b₁ = HOHOH…

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Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of co will the solution…

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Q: for the function below, the domain and the range is respectively -2+√1-x

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Q: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) = n = 4 x + 1 P4(x) =

A: A Maclaurin polynomial of nth order  for the function f(x) is               f(x) = ∑n=0∞fn(0)n!xn,…

Q: 13. Find the volume of the solid generated by revolving the area of a circle: (x − 2)² + y² = 4;…

A: The volume of the revolution of the function y=fx from x=a to x=b about the x-axis is: V=∫abπy2dx…

Q: Problem 7. The base of a 50-foot ladder is being pulled away from a wall at a rate of 10 feet per…

A: Given: Length of ladder = 50 foot Rate at which it is pulled, VC = 10 feet/sec

Q: Show * ਤੇ t [s² (s²-2)] sinh42, 2√2

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Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of zo will the solution…

A: This question can be solved using the concept of differential equation.

Q: Q5) Evaluate the following integrals: 1. ƒ (1+√3)³ d -dx √x 2.JxỏeXdx 3.f (x+3) dx 2x³-8x

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first part. If you…

Q: Find derivative of the 6tanx following function d d.x

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Q: A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b)]…

A: We have to verify that A =12B×r is a vector potential, where r = x,y,0     Given that B = 0,0,b…

Q: Q5) Solve the following using Trapezoidal rule with n=6 2 f(x) = [²xtnx. dx 0

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Q: 16x² +25y²-32x+50y+16=0

A: Given that a equation and we find the centre , vertices and foci and eccentricity of the ellipse and…

Q: 1. Mark on an Argand diagram the points representing the following numbers: (a) 2 (b) 3i (c)-i (d)…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: the square. Be sure to show all Solve the following equation by steps and round final solutions to 3…

A: Given equation  6x2+24x-18=0Here a=6, b=24, c=-18Use quadratic formula with a=6, b=24,…

Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

Q: Calculate the amount of money Manvir had to deposit in an investment fund growing at an interest…

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Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: In(x² + 4)dx

A: Let's solve given integration.

Q: Evaluate the indefinite integral. Use C as the constant of integration. -3+ 6 cos 0 do 02 sin 0

A: To Find: ∫-3+6cosθθ-2sinθdθ

Q: 1505 152 mxa 081 dial 3a. Find the coordinates of the relative maximum and relative minimum of the…

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Q: which means that and thus 2x 5x + 3 and g(x)= and g'(x) = D II 5x + 3

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Q: The area of the region between the x-axis and the graph of the function shown below and the lines…

A: First I have drawn the region between given curve and lines and then find its bounded region,…

Q: Use the price-demand function below, to answer parts (A), (B), and (C). p(x)=85-3x 1 ≤x≤25 (A) What…

A: Given data÷

Q: S =/2e-3x/4 3x -3x/4 (A) 4 2x - 3x/4 (B) 3 (C) - 1/2 e X (D) 1/2 e e e ₂-3x/4 - 3x/4 dx + + 3 - & e…

A: By see this solution

Q: Find all values of m so that the function y = ex is a solution of the given differential equation.…

A: We need to find values of m.

Q: Does the equation specify a function with independent variable x? If so, find the domain of the…

A: Given: 8x+17y=31To Find: does given equation is function of x

Q: b. lim a-1 ²ln(1-x) X -dx

A: Given

Q: show that (to) arg = = argz

A: We have to show that  arg z¯ = -arg z.        ...A     Let us first see what is z¯, z¯ is conjugate…

Q: 3- show that the diff. equ. is homogeneous and Salve it (2x+34) dx +(y-x)dy = 0

A: To solve the given differential equation

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Compute the following limts. If the limit does not exist as a finite umber, please state so. In that…

A: Here we have to find the limit of a function.

Q: dy dx x3 2+y²

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Q: 3. (8x³ + 6x²5x +11) dx

A: integration

Q: Which of the following differential equations are separable? Select all that apply. 0 U 0 dy (y - 1)…

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Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function, f(x)=4x3-6x2-10x+1 Aim: To find  a such  function , whose derivative is f(x),…

Q: Solve the differential equation: dx || y+1 *

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Q: Write the solution statement for all of the solutions to the equation 6√√2csc(0) - 4√6=0

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Q: ....... ds. By the same way find the power series of coshix. ..

A: ex = 1+x+x22!+x33!+x44!+...

Q: Q1) Test the convergence and divergence n 1) {( {1}}=1 n+1 210 – Vn 2) Σ n2+n+2 n=0 8 6n² 3) Σ n³ +1…

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Q: Find the values of a and b such that the following function a² cos(x − 2) — 26(³-x), if x 2, is…

A: Topic = Limits

Q: a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 20…

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