given value of x. Show your complete solution.

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Q: Solve the differential equation y''''+y''=3x2+sinx-2cosx a) what is the complementary solution b)…

A: We have to solve the differential equation y'''' + y'' = 3x2 + sinx - 2cosx a) Complementary…

Q: 1 83 -8 14(e++e²¹) Option 1 - 1 + ½ (0²¹ + ²) Option 2 1+1(e²¹+ e²) Option 3 - -/-(e²+ + e²) 1.…

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A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

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Q: Question 5 Use the rules of differentiation to find the derivative of the function y = x(6x + 1)5.…

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Q: Evaluate lim f(x), f(x) = (3x² + 5x − 1, (7x² - 2x - 3, x ≤ 2 x > 2

A: Topic:-  limit and continuity

Q: Test the convergence of the following: n 3n+1 1- an 3n-1

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Q: 1. Solve the following equations: c) (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: (-3, 3) & (0, 0) Y₁ = X₁ = ; X₂ = Trend: m = 3 Y₂ = Final answer:

A: Solving the problem by finding the slope and trend.

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Q: t(0-28 m/s) (x) (400m) (x) Candidate Car model (x) 1994 Ford SVT Boss Mustang 10.0L Concept 1.9…

A: We need to find acceleration.

Q: 4.3√√√7

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Q: SOLVE NUMERICALLY USING (a) TRAPEZOIDAL RULE AND (b) SIMPSON RULE. USE (a) n = 4, and (b) n = 8.…

A: This is a problem related to numerical integration. Based on the general formula and concepts we…

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: 2. x² + 4xy + y² = 1

A: Differentiation

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Q: D in one polar plane, plet the following points a.) (4, π/3) bi) (-3, - STT) d.) (21-77) 4 e) (-1.5,…

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Q: 1. If f(x) = 5x4 - 6x² + 4x - 2 find f'(x) and f'(2).

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Q: 1-12 Find the area of the surface. 1. The part of the plane x + 2y + 3z = 1 that lies inside the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Consider the following double integral 1= dy dx. By reversing the order of integration of I, we…

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Q: Evaluate the triple integral a dV where E is the solid bounded by the paraboloid a = 10y² + 102² and…

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Q: 1. x Cos² y dx + tan y dy = 0 2.2 x yy' = 1 + y² @ a given condition x = 2, y = 3

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Q: Find the average rate of change of the function over the given interval. f(t) = 13+ sint a. 0, 플] п…

A: As we know that; The average rate of change between the interval t1≤t≤t2 is given by: Average rate…

Q: Write the form of the partial fraction decomposition of the function. Do not determine the numerical…

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Q: Find all the possible x-values of f(x)=√x - 2

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Q: 3) For parabolas, consider the following graphs E

A: Solution of given question is written in below steps.

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: 0 x cos nx dx X

A: Topic: Definite integral

Q: J 2+2 cot (2²+42 - 3) -dz

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Q: Determine the constant a so that the vector V = (x+3y)i + (y-2z)j + (x+az)k is solenoidal.

A: Follow the procedure given below.

Q: Carbon extracted from an ancient skull combined only one-sixth as much as C14 as carbon extracted…

A: Let's find age of skull.

Q: 1 6x² ex³ dx

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Q: a. x K=I 34 K!

A: We can solve this as follows:

Q: Find the derivative of the function. - 5x - 4 e to y=xe dy dx ||

A: Finding the derivative of the function

Q: 2. Use geometry to evaluate (2 (2x+6)dx. You need to draw a graph.

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Q: Laplace transform of the following functions a) cos2tcos5t b) cos3t c) (e^(2t)-e^(-2t))^2

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get…

Q: Find the volume of the solid generated by revolving the region bounded by y=3/(2√x), y=0 & 1s XS4.

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Q: In the following problem, begin by drawing a diagram that shows the relations among the variables.…

A: Use partial derivatives

Q: 1-Show that У +їх ave X + iy =/=1 where Complex numbers ? X+iy and

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Q: The average rate of change of f(x) = sin(x) with respect to x as a changes from 0.5 to 1 is O 1 0 2…

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Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: Əw ax Find a. y dw ax (-1, -2,2π) a. and b. = Əw at the point (x,y,z) = (- л₁ − 2,2µ) if w = x² + y²…

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Q: Can you elaborate you answer in b>? I cdont understand whiy it became 4

A: We have to elaborate why the angle is 4π3.

Q: Find at least 5 distinct rational points on the unit circle in the first quadrant of the plane.

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Q: If given f(3) = -1 and f'(3)=5, the tangent line to the graph y = f(x) at x=3 is y = 5x +16. (a)…

A: This question is based on finding tangent equation at a point on function.

Q: Given f(x) = x" ; n=1,2,3,....... Determine f(n)(x). (a) fm) (x)=n(n-1)(n-2)....∞ (b) sol…

A: We know, d/dx(xn)= nxn-1 for any real number n.