solve using ODE from t=0 to 2 when y(0)=1 dy/dt= yt^3 - 1.5y

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A: Let's find. 

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A: Euler deduce that 12=1-1+1-1+1-1+......and-1=1+2+4+8+......by substituing x=-1 and x=2 in the formul...

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A: We can find the answer as below.

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A: Given that: 11+11-12

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Q: 6. у3 2x – Jx² – 1

A: Given function y=12x-x2-1 we want to derivative of given function with respect to x 

Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

A: Basic derivative problem

Q: ydx + x(Inx - lIny - 1) dy = 0, when x = 1, y = e %3D

A: Given :     ydx+xlnx-lny-1dy=0,        when x = 1 , y = e that means y1=e

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A: Given that: 5. g(x)=-x-2+1, x&lt;-2x2+2x+5,     x≥-26. g(x)=Graph is given.7. g(x)=-1x2

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Q: integral f (z+1) e^2z  dz

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Q: integral f y^2 e^5y dy

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Topic = Integration

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A: Area of the circle , A =πr2 ; where, 'r' is the radius.

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A: Consider  ex=9

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A: Topic:- partial derivatives

Q: 8) For this problem, consider the function f(x) = e". (a) Find P3(x), the third-degree Maclaurin pol...

A: Find your answer below 

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A: Please refer to the image below

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A: Taylor polynomial

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Q: 4. Given that ai = 3, > ak = 1 1 and ) bk = 5, it follows that k=1 k=1 Σ Eak and > 2ak + bk k=2 k=1 ...

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

A: Given series ∑n=1∞ n1212nso an=n1212n

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A: Given that: z = 2x2 + y2 - 5y, (1, 2, -4)

Q: S tan -) dx = a) x tan-1 (-) +÷In(x² + 1) + C b) x tan-1 () +글x2-글In(x2 + 1) + C c) x tan-1 (는) +글x2...

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Q: A) What is the point of intersection between the plane x – 2 y +3 z +1 = 0 and the line r = + t? B)...

A: Use substitution method

Q: Evaluate the following expression. arcsec(-1) Give your answer in radians. Provide your answer below...

A: Use inverse trigonometric function

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Q: dentify the level curves of f(x, y, z) = x² + y² + z²

A: Given question:- Identify the level curves of f(x,y,z) = x2+y2+z2

Q: ACTIVITY 1 onl Direction: solve and analyze each of the following problem in neat and orderly manner...

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Q: Find the Taylor series generated by fat x = a. 3 f(x) = a = 1

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Q: Let S = E a, be an infinite series such that SN = 3 - n=1 10 16 (a) What are the values of E an and ...

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Q: Let p (x) be a polynomial. Then limn->o∞ p(n) O Cannot be determined

A: Topic:- calculus

Q: Evaluate the following expression. arcsec (2) Provide your answer below: Radians

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