Find and graph the solution to the IVP y'+ p(x)y = 0, y(0) = 3 %3D Where if 0 < x < 1 if 1 < x < 3 2х — 1 p(x) = {0 if 3 < x < 4 -

Q: y = In (x* + 5)³

A:

Q: If f(-1) = 4 and f'(x) ≤ 5 for all x, what is the largest possible value of f(6)?

A:

Q: Given f'(x) = 5e* + 8x and f(0) = 2 find f. %3D

A: We are given that f'(x)=5ex+8x and f(0)=2. So,

Q: √√3+ rdr then 0 (2)=√√3+230 I X

A:

Q: { 1/(x + 2) , x2 , sin(x – 1)/(x - 1) , x 1. y = F(x) =

A:

Q: 5. Find y' if y = [ln(x² + 3)]³/².

A:

Q: 3x + 7 If f(x) = find: %3D 3x + 5 f'(x) = %3D f'(1) =

A:

Q: If f (x) = 2", which equation represents a function that has been reflected over the x-axis, has a…

A: Definition and the knowledge of the functions help to find the required function. When a function…

Q: find the pauticuler soluhion fr + loy = x'_e*sin(8x)

A: Solve particular integral in above differential equations.

Q: 4x + 6 If f(x) = find: 7x + 4 f'(x) = %3D f'(1) =

A:

Q: ax? If f(x) = if x > 1 then the bæ + 2 if a<1 values of a and b such that f is differentiable on…

A: For function to be continuous

Q: If f(4) = 3 and f '(x) ≥ 3 for 4 ≤ x ≤ 7, how small can f(7) possibly be?

A: We have to find the smallest value of f(7)

Q: 8. Find f'(x) for (a) f(x)=(x² +3x+1)(2x+3) 2x-3x+1 (b) ƒ(x)= %3D

A: We need to find the derivative of the given functions. For (a),

Q: Suppose that a revenue function is given by R(x) = 100x – 6x² + 10e0.2z + 25. What is the correct…

A:

Q: Differentiate. f(x) = 7+ 3e5x f(x) = 7+15e5x O f (x) = 7+ 5e3x f (x) = 0+15e5x

A: Differentiate the above function.

Q: Not sure how to start problem

A: Given functions are We find g(f(x)) by replacing x by f(x) in g(x)

Q: 9-16 Find f'(x). 1 9. f(x) = x-3+ x7 %3D 11. f(x) = -3x-8+2x %3D

A:

Q: If f(4) = 5 and f'(x) 2 2 for 4 s xS 9, how small can f(9) possibly be? %3D

A: Mean Value Theorem   Let f(x) be a function that satisfies the following hypotheses: a) f(x) is…

Q: 2x-3 3x (x-3)2 find the x-value(s) where k'(x) is (are) undefined. If k' (x) : for all x in the…

A:

Q: Differentiate: g(x)= (2x³ – 1)(x³ + 2) g'(x) = 10x* (2r³ – 1) + 3r²(r³ + 2) g'(x) = 10x“(2³ + 2) –…

A:

Q: 1, 0 2

A:

Q: Find h' (2) given that f(2) = -3, g(2) = 4 , f (2) = -2 and g ' (2) = 7 such that h (x) = f (x) *g…

A: The solution are next step

Q: If f'(x) = 2x³ + 3x² − 4x + 5 and f(0) = 1 and f'(0) = 2 find f.

A:

Q: X If (fog) (₂2/₂) = x- -2, 2x-4 x+5 and f(x) = 3 x-2' find g(x)

A: If f∘gxx-2=2x-4x+5 and fx=3x-2, then to find gx.

Q: According to Massachusetts bay transportation authority (MBTA) budget deficits with 160 million…

A: The function d(t) represents the budget deficit according to the Massachusetts Bay Transportation…

Q: 7. 1 (x) == x¹- -2x³ + x-10. Find the hypercritical value(s) of f(x)=

A:

Q: If f(4) = 9 and f'(x) > 2 for 4

A: Solution: Given that f(4) = 9 and f'(x) 2 for all 4  x  6 If a function is continuous on some…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.