the deflection of differential equation shown 26. dy a d'y = w(x) on 0

Q: (x - 2)² 22 2. Find (algebraically) the absolute maximum and minimum values of f(r): interval (0,…

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Q: Solve the differential equation. ý + xe = |-In ( ½-² + c) | 2 x

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Q: The position function of a particle is given by s(t) = t³ - 2t2 - 7t, t20 where s is measured in…

A: Here is the solution:

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Q: What is the equation of the tangent line to the curve y=In(x++1) at x = 1 ?

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Q: The volume of a cylinder of height 10 inches and radius 7 inches is given by the formula V = 10mr².…

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Q: x - 2y - 4z = 2 2x-3y-6z = 4 -3x + 6y + 13z = -1 Solve the system of linear equations using the…

A: The given system of linear equations:x-2y-4z=22x-3y-6z=4-3x+6y+13z=-1

Q: Set up a triple integral in spherical coordinates that would determine the exact volume outside the…

A: The given spheres are:7x2+7y2+7z2=27x2+7y2+7z2=5y≥0   and   z≤0

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Q: Textbook -5-4-3 a < X < 56 4 3 2 mpy 2 -3 -4 Videos 2 3 The function graphed above is decreasing on…

A: The Solution is given below

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A: Given that :  f(x) =2x + cos(x)  is one to one    To find : (f-1)1 using the formula (f-1)'(x)…

Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 6a³ + 45x² + 108. g'(x) =…

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Q: 4. If ij,k are mutually perpendicular unit vectors and u is an arbitrary vector, prove that (i-u)(i…

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Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: Given y'=x2y-y22    , y(0)=3    , h=0.2

Q: -4-x² - y² 4 component. For the function f(x, y) (-3, -3) that has a positive find a unit tangent…

A: Let's find unit tangent vector.

Q: Determine if the following series is absolutely convergent, conditionally convergent, or divergent.…

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Q: Assume that the side of an equilateral triangle is measured with a percentage error of at most 1%.…

A: Assume that the side of an equilateral triangle is measured with a percentage error of at most 1%.…

Q: The world population is approximately 6.1 billion, and can be modeled by the function P(t) =…

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Q: n ²+1

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Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x a = b =

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Q: (6) Determine if the alternating series converges Σ(-1)"+1. ∞ n=2

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Q: I want to know why the absolute minumum value is -6.35.

A: Let's solve for absolute minimum value.

Q: 2. Suppose that f(1) = 2, f(4) = 7, f '(1) = 5, f '(4) = 3, and f" is continuous. Find the value of…

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Q: Analyze the function f(x) = {. No 12 -10 if z < 6 +7 if x ≥ 6 √6 Your classmates may be analyzing…

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Q: 4. Use the Root Test to determine the converge or divergence of the series. " b. 21(3n+1)" a Σ=1…

A: The given series, a) ∑n=1∞n2n+1n b) ∑n=1∞2n+1n-1n c) ∑n=1∞n3n We have to test the convergence of…

Q: The radius of a sphere is decreasing at a rate of 2 meters per minute. When the radius is 12 meters,…

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Q: (1) Find the summation of the series +++++

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Q: Suppose s=1³-91²+241-5 (meters) is the position of a particle at any time t (seconds). Determine the…

A: Concept: The velocity vector is given by the derivative of position vector v(t)=s'(t) Where v(t) is…

Q: Estimate using linear Approximation. 3 19.2 - 13 19

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Q: 5 Find (7-2i) i=1 First write out the summation: Find the answer: Submit Question

A: Note : Since you are sending 2 different questions so as per policy I can solve only one question.

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 2 x-intercepts…

A: Given: vertical asymptote at x = -1, x = 2 x-intercepts at (-2, 0) and (-3, 0) Horizontal asymptote…

Q: What is the normal line to the curve 9x²+4y²=36 at (0,3) ?

A: To determine the equation of normal line to the given curve.

Q: Course: Calculus I Suppose second derivative of a function is known: d2 f(x) /dx2 = x2 - 5 It is…

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Q: The side of an equilateral triangle is found to be 6 inches in length with a possible error of no…

A: Topic = Triangle

Q: Let G₂ be the solid above the xy-plane that is inside the sphere x² + y² + ² = 16 but outside the…

A: Solution is in second step.

Q: standing 27 from casts an 8-foot shadow. A 6-foot person a street light casts 6 ft 27 ft 8 ft is the…

A: this is the question of application of trigonometry and geometry here triangle formed and we have to…

Q: 1. In all parts of this problem you will be evaluating the definite integral ſ² f(x) dx where f(x)…

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Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. 10 √100-x² S - 10…

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Q: Solve the equation. (Enter your answers as a comma-separated list. Round your answers to three…

A: Given14e-4t = 0.9

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Q: Expand the expression using the Binomial Theorem: x5+ 405 x+ 270 (3x - 1)5 = 243 15 x+ 1 x³+90 x² +

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Q: Question Let f(x) = (6+5)* f(x) has one critical value at A = For a A, f(x) is Question Help: Video…

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Q: Q5.2 You have been. given the equation Find a particular following differential solution. for it…

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Q: Find the orthogonal trajectories of the family of curves. y² = kx³ Graph several members of each…

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Q: how did the operation change right after you equated dA/dL to 0

A: For finding maximum or minimum , firstly find critical point . For critical point , equate first…

Q: WE Σ n=1 4 3" +1

A: Given query is to find series converges or diverges.

Q: Find the slope of the tangent line to the curve defined by 2x² - xy + 3y³ = -1034 at the point…

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Q: A marlin swims at a constant rate. The table shows the proportional relationship between the time in…

A: Find the constant

Q: Represent f(x) = cosx. as the sum of its Taylor series centered at π/6.

A: we will find the required taylor series .