Find y as a function of t if 9y" +12y + 29y = 0,

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A: Given Power series,∑n=1+∞x+1n3nn2 + 1

Q: Find the general solution of the differential equation. y(5) — 11y(4) + 29y"″ − 11y" + 28y' = 0.…

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Q: 3 4 L2 3 2 2 2 4 D-1 b 3 2 51ra- 2 3. 3c ||

A: Understanding of Cramer's Rule is required to solve this problem.

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A: If 0&lt;x-8&lt;δ, then -4x+32&lt;ε

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A: The function is  y=ln(x2-x-6)

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Q: Complete detailed solution. What is the derivative of 1 1(x) = (2+²+ -x)(-+1+√x²) x+1

A: To determine the derivative of fx=12x-2-x-1+x4x+1

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Q: 2. A ball is dropped from a 20-foot building with a constant acceleration due to gravity of 9.8m/s².…

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Q: Q.7 Find the eigen vectors of the matrix: 1-(1 2) Your answer Q.8 Find the maximum and minimum…

A: As per the request of the student , (7) The matrix is given as , A=5412

Q: Using Integration by Parts, the integral [(x8. is equal to x10 5 - the above + 2x⁹) In x dx…

A: Given: I=∫x8+2x9lnxdx   Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu

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Q: 7. Two part question: a. Determine the equation for the slope of the secant line between the point…

A: The given problem is solved below in detail.

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Q: uestion 3 Find f(x+h)-f(x) given the following function. Answer f(x+h)-f(x) = | کے f(x) = 8x² + 5x

A: The solution is given below

Q: 6. Find the value of 2-x² 2-2 I = [₁ ²2² (2² +1²) dy dx + [ ²7 ( 2² + y²) dy dz √2J-√√2-1² by…

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Q: A rectangular page is to contain 89 square inches of print. The margins on each side are 1 inch.…

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Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: Given:    z = x2 + y2  Point: ( 5, 0, 0 )

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: 8. Find the local maximum and minimum values and saddle points of the function f(x,y)=2x + 4y +3x²…

A: This is a problem related to maxima and minima. Please follow the procedure given below.

Q: Consider the relation R defined on the set X={a,b,c,d} and Y={1,2,3,4} from X to Y, where R= {(?,…

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

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Q: (a) Show that the function f(x) = x² 2 n! n = 0 is a solution of the differential equation f'(x) =…

A: The Solution is given below

Q: f(x)=√x² - 6x. Use interval notation to indicate the domain of f(x). Note: When entering interval…

A: We have to find the domain of f(x) = x2-6x4.

Q: What is the circumference of the circle with a diameter of 4 cm?

A: circle is given  diameter of circle = 4 cm  we have to find circumference of circle  formula of…

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Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to

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Q: 1- Consider the following nonlinear 10x - 3+e-³-2³ sin(x) = 0. a) Prove that the nonlinear equation…

A: GIVEN:- 10x-3+e^(-3x)-x^3sin(x)=0

Q: A vendor at a carnival sells cotton candy and caramel apples for $3 each. The vendor is charged $275…

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 10 = 1 (No Response) dy dx

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Q: J 2 On the first day of a zombie outbreak, there are five zombies. A scientist wants to look at how…

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Q: Find y as a function of t if y(0) = 7, 3/(0) = 6. y(t) = 49y" + 140y + 136y = 0,

A: The given DE is: 49y''+140y'+136y=0 So, the auxiliary equation of it is:…

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The objective of the question is evaluate the directional derivative at the given point and…

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Q: Evaluate the following integral. 7x²2 dx S- (225+x²)²

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Q: Evaluate the following integrals sin³ (x) cos³(x) dx

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Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)