Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy - + y = f(x), y(0) = 1, where f(x) = {_1₁ 1, 0≤x≤ 1 x > 1 dx y(x) = O Use a graphing utility to graph the continuous function y(x). y 4 2 y 2 1 2 0 ≤ x ≤ 1 2 , x> 1 3 4 4 5 5 X X 2 0-2 1 2 3 4 5 y 3 2 1 2 3 4 5 X

Q: Sketch a possible graph of a function with the following properties: x-intercepts: -1, 1 Critical…

A:

Q: Which type of discontinuity does the function exhibit at x = 3? %3D (-x2 + 1, -1 sx<0 2х, f(x) =…

A:

Q: If the graph of Y=f{X) contains the point (0,2), dy dx and f(X) > 0 for all X, then yet? f(x) =

A:

Q: Where does the relative maximum value of f occur when f'(x) = x³ - x? (a). -1 (b). 0 (c). 1 (d). 2

A: concept first find x when f'( x ) = 0 if f''( x ) &lt; 0 then maxima will occurs if f''( x ) &gt; 0…

Q: The graph shown below is f(x) = √√2x - 2. If g(x) = f(t) dt, what is g' (2)? 543-2-112345 -24 00 o…

A:

Q: Suppose that a continuous function g satisfies: g(x)dr = 30 and g(2x)dx = 3. 0. 2 Find r9(3x²)dx.

A: Suppose that a continuous function g satisfies: ∫03gxdx=30 and ∫06g2xdx=3. The, we have to find the…

Q: Suppose f, f', g, and g' have the following values: 1 2 3 f(x) 4 - 2 - 2 7 4 f'(x) 9 2 5 - 9 (x)6…

A:

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 4x/3 on the interval [0,…

A:

Q: Si s(2x)dx = 23. If f is a continuous fiunction and if F'(x) = ƒ(x) for all real numbers x, then (A)…

A:

Q: = Söf(t)d t, find g'(2) Y -2 8- 6+ 4 2+ (2)=4 2 4 st

A:

Q: 5. Sketch the graph of one function f(x) that has all of the following properties: a.) f(-2) 0 b.)…

A: As per our guidelines we are supposed to answer  only one question. Here question 5) answer.

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 16/x on the interval [0,…

A: