Solve the initial value problem with y(0) = 1. y = help (formulas) dy = + 2y 40 sin(x) + 30 cos(x) dx Reminder: To find the anti-derivative of something like e" sin(u), the trick is to do integration by parts twice. Book: Section 1.4 of Notes on Diffy Qs

Q: Plese solve witgout AI, handwritten is prefered

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Q: please utilise implicit differentiation to calculate dy/dx if you are given:  a) (x^2)+(y^2)+xy=3…

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Q: 7. In a certain country, the number of people (in millions) using their mobile phones to check…

A: Given query is to find the derivative of the function at different points.

Q: 33-34 For what values of x does the graph of f have a horizontal tangent? Hercnt 33. f(x) = x + 2…

A: we have f(x) = x+2sin x

Q: can you help with this practice problem

A: Step 1: Step 2: Step 3: Step 4:

Q: en+1=Xn+1-r=Xn- = en By Taylor's Theorem, we have f(xn) f'(xn) Putting this in Equation (2) leads to…

A: In this problem we are to check if the Newton's formula was changed to Xn+1= Xn- f(Xn)/f'(X0)We will…

Q: Find dy/dx by implicit differentiation. 5x + y = 8 + x²y²

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Solve Sin (3x) %3D cos (2x)

A: to find derivative of y=sin3xcos2x

Q: Find dx dx || by implicit differentiation. 6x² + 7xy - y² = 8

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Part 1 Find the equation of the tangent line to the curve a(x) = 3 sin x+In(x2 - 5x +1) – e-6z at a…

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Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c