Find the derivative of the function y = 8t' – 8/t + y (t) =

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A: x2-1dy=x2+1-2ydx

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Q: (D²+1) y 4 see X . ニ

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Q: DEGREE

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A: For finding orthogonal Trajectories :step 1 : Let f(x,y,c)=0 be the equation of the given family of ...

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A: integration with subsitution 

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A: I am attaching image so that you understand each and every step.

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A: Let's find. 

Q: using undetermined coefficients (D^2-2D+2)y=24e^x sin3x

A: Given: (D2  -2D+2)y=24ex sin3x

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Q: Show complete and detailed solution of the differential equations 1. x(dy/dx)+(1+x)y=e-xsin2x

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Q: A. (xey + x)dx – (x²ev + 4e')dy = 0

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Q: Find f'(x) from first principles, given f(x) is: a) x b) 1 c) -x^2 d) 2x^3

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Q: 40. 1 1+ 1/n n = 1 n

A: According to our policies we are allowed to solve one question at a time so kindly repost the other ...

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A: Solution of the problem is follows

Q: handwritten The derivative of the function

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Q: Evaluate the integral : 8x²+10x-6 S (x–1)(x+1)? dx (x-1)(x+1)² +C

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Q: Using the notations A, BA, B and CC to denote the angular measure of the interior angles of the tria...

A: We know, 2ab cos C = a² + b² - c²  So, 2ab (- sin C) (∂C/∂c) = - 2c  So, (ab sin C) (∂C/∂c) = c  So,...

Q: C. . Solve the initial value problem: 2xydx + (2y2 – 3x²)dy; y(0) = –1.

A: C is homogeneous Differential equation

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Q: sin 7x 2: lim 0 4x

A: Topic = Limits

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A: Given query is to find the marginal profit on production level of 60 items.

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Q: (b) Find an operator A that annihlates the following functions. i. In(x) ii. to , α ε R iii. sin(3 I...

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Q: A triangle has been drawn on the unit grid. Which is the area of the triangle?

A: Find area of triangle ?

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Q: Solve using method of undetermined coefficients. (D2 - 2D + 2) y = 24exsin3x

A: Let's find. 

Q: 11. у" - у" - у +у%3D0

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Q: -e4 lim x→2 x2-2x

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Q: Suppose that f ‘(x) is negative for x 1. Does f have a local minimum or maximum value at x = 1?

A: The answer is 'YES' Let see how it is YES in next step.

Q: Use integration by parts to evaluate the integral:

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Q: A topographic globe has a radius of 33 cm. Find the volume of this sphere. Use n 3.14. ... The volum...

A: Given query is to find the volume of the sphere.

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Q: 1 Solve the equation: 1 x + 3 1/4

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Q: g (x) = -2x3 Vx²+1

A: Topic = Functions