3) Consider the IVP y' = x − 2y, y(0) = 1/2. Determine which of the two curves shown in the figure is the only plausible solution curve. Explain your reasoning. (0,-/-)

Q: et #4.) a Given the function f(x)= x, solve the equation f'(x)=0 b> Discuss the significance of the…

A: We have to use a concept of derivatives

Q: Find the tangent line to the ellipse 0y-x-8 0,-1,-√7 y = 14 0y=-√14x-7 O None of these ○ y = √7x-8 1…

A:

Q: graph of (x) = x' - 2 is shown in the figure. Find 6 such that if0 2 ]x - 4] 2 8, then IAX) - A. ô =…

A:

Q: Find equations for two lines through the origin that are tang net to the curve x²-4x+y²+3=0 .

A: We have given equation of curve x2-4x+y2+3=0. We also know that the slope of the line will be the…

Q: (4) M" - afg' -4fg= 0; Y@-1, g'()=0

A:

Q: Find x?dA where R = {(x, y) | 9æ² + 36y? < 324} Round your answer to four decimal places.

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Ans 1: (d) Degree of polynomial is 6Ans 2 : (b) Function changes its sign at x =…

Q: Construct a Sign Chart for the following polynomial function and state the intervals where this…

A: The given polynomial function is fx=-23-2xx-32x2+1. Determine the intervals where fx is positive and…

Q: Find the line tangent to the curve x 3 + y 3 4 at the point (-3/3, –1). V3 y = 3 x – 4 V3 4 - 3 -V3…

A:

Q: e an is a solution or dirrerential equation y'ray=20* how?

A:

Q: how

A: Que seems some data missing. Though I have simplified the given expression as much as possible.…

Q: 10) Find the tangent line to the curve 16 1 at the point (4 23).

A:

Q: Find y in terms of x. dy 2=x* (32 - x). curve passes through (2,2) dx The solution is y=|

A:

Q: Let f (x) = (x³ –- 2x + 2)° Lans(1) = (x' – 2x + 2)' ma g(x) = 5" (x) and 8 (x) = f¯l (x). What is…

A: The slope of the curve g(x) at a point will be the derivative of the function, g'(x) at that point.