Find a general solution to the given equation for t < 0. 9 26 y"(t) - —y' (t) + 2y(t) = 0 The general solution is y(t) = (Use parentheses to clearly denote the argument of each function.)

Q: y-(x-5)2 + Sin-l XY 4.

A: To expand: y-(x-5)2+sin-1xyx+5.

Q: 1. Find the derivative of the following 9x²-4x+9 a)y = 2(x²-3)²√√3x-1

A: We know that the derivative of a function fx is the rate of change of that function with respect to…

Q: Determine the derivative of the following implicit functions Show your complete and detailed…

A:

Q: 1. Approximate the roots of the following functions. (a) f(z)=r³ +x – 1 (b) f(z)=r³+I-3 (c) f(z) =…

A:

Q: B. Find the first and second derivatives of i- y =-10x+3cosx+(2x+3)(5x-4x) 5x+1 ii- y= 2x

A:

Q: Write an equation for a quadratic func 1 and shifted up 9 uni 5' by a factor of O f(z) = 9+ 5(- x)…

A: Graph

Q: Find y as a function of t if y(0) = 4, y(0) = 1. y(t): = 64y" - 144y + 81y = 0,

A: Given: The characteristics equation is             64m2-144m+81=0⇒m=--144±-1442-4· 64· 812·…

Q: 2. Use first principles to find the derivative of each. a) f(x) = √2x-1 b) y = ///

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x the derivative is…

Q: 5. Solve the cubic equation by trial and error or by factoring. x³ + x² - 4x -4 = 0

A: Note: Hi! Thank you for the question As per the honour code, We’ll answer the first question since…

Q: Problem 3: Find (i) f'(x) and (ii) f"(x) of the following functions. 6x4-√x , c) ƒ(x) = e4 – 5e-5x -…

A: As per the rules of the company we can answer only the first question and rest can be reposted.

Q: 2. Given the function f (x) = sinx and g(x) = x², find the value of g(fG)

A: Given function are f(x) = sin x   and g(x) = x2 We have to find the value gfπ4

Q: Find the derivatives of the function y defined implicitly by each of the following equation…

A: Solution: The objective is to find the derivative of the given function implicitly

Q: a) Show that the function given by f(x) = x* + x – I has exactly one zero b in the interval What is…

A: a)Given that fx=x4+x-1     →1f-2=-24-2-1=16-3=13f-1=-14-1-1=+-1-1=-1 The equation of tangent to…

Q: f (x) = x³ + 4xª + 3x³ – x² + & 1. ,2 -

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: I. Find the derivatives of the following functions: 4. -3xy? + 5x²y² = 2x² %3D

A:

Q: Convert the formula f(t) = 187e¯0.1t to the form f(t) = ab’. Write your answer using function…

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