Suppose that X, Y C U. If Pr(X) = 0.3, Pr(Y) = 0.32, and Pr(X n Y) = 0.08, what is Pr(X' U Y)?

Q: Consider the function y = 2e4. Which of the following statements is true for y? O y'=y Oy = /v O…

A: given,

Q: = f(x) g(x) If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = y 6…

A: The given graph of the functions is shown as,Let,Note:  As mentioned in the instruction, we are…

Q: If a(x) = 2 – 8x, what is an equation for a (x)? O A. a-1(x) 2. 8. O B. a '(x) = ?= 2 8 al(z) = ", 으…

A: The given equation for a(x) is: a(x)=2-8x

Q: 6. If g(x) = x'+x²+ g"(2). find the value of

A: see 2nd step.

Q: Let c =3 If f (x) : Cind f! (0

A: The function given is fx=x2-cx+1 The value of c given is 3. Substitute the value of c in the given…

Q: 77. Use substitution with u = x² + 4x + 3, = (x +2) dx.

A:

Q: 12) [f x e dxdy

A: See the details solution in below

Q: +4x –1 dx x' - x 2.

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: question

A:

Q: 3. If f(x) = sinx ex find f'(0).

A: fx=sinxex

Q: 1. Find y'. (2) y=

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

Q: . If f(x) = V4x – 7, find f'(x).

A: we have ;  f(x)=4x-7;  we have to find f-1(x)

Q: In Exercises 29-32, the graph of a function f(y) is given. Sketch the phase line for the autonomous…

A: As shown in figure f(y) is zero at the point y=a,b,c,d

Q: A 2xe ²x² B Xex² Ⓒ2e+² D 2xex² Let f(x)= ex², find f'(x)

A: given  f(x)=ex2d dx(ex)=exd dx(xn)=nxn-1

Q: B. Find f(x) if f

A: Solution of the problem as follows

Q: Ex. 4) For F and G functions and given that: F(5) =-1,F'(5) =-3 G(5) = 4 G'(5) = 2 a) If P(x)= F(x)·…

A:

Q: 11. V =tr²h (h) constant as A) ans :V' (h) = tr²h 3.

A:

Q: 5b. Find y' when =etet ey

A: The equation is given by y = e2+ex2+ey2…

Q: (tanx) y' = y, y(플) = 플 T

A: Given differential equation:- tanxy'=y

Q: Find the derivative of y with respect to x.

A:

Q: If x' x= [(-₁)] and x(0) = [] x what is X(T)?

A: Given: x'=01-10x and x(0)=01. To find: x(π)

Q: Choose True if the statement is correct, otherwise False. If f(x)dx is to be integrated and u =…

A:

Q: 12. Find the second derivative for the function f (x)=4x+12x²-20x-18 and solve the equation f"(x)=0.…

A:

Q: 2. If g(x) = (ƒ 03ƒ •4f)(x) = ƒ (3ƒ (4ƒ(x)). Determine gʻ(3), given f(3) = 1, ƒ(4)=1, ƒ'(3) = 2 and…

A:

Q: Let f(x) = sin(4g(x)). Evaluate f'(x).

A:

Q: Use L and L to solue y' t 3y= f4) y)=5, where f4), (32)

A:

Q: Suppose F(8) = 5, F(9)= -23, and - 9 f6f (x) d Your Answer: Answer dx= F'(x) = f(x).

A:

Q: 3. Suppose that f(1) = 2, f(4) 7, f'(1) 5, f'(4) = 3, and f" is continu- %3D | af" (x) da. ous. Find…

A: The given data is: f1=2f4=7f'1=5f'4=3  f'' is continuous  To find the value of ∫14xf''xdx.

Q: x) such that f"(x)=2r' +3x-4

A: Integration: f''(x)=2x3+3x2-4x+5; f0=2, f1=0 ∫xndx=xn+1n+1+c

Q: If f(x)- Vu² - 1 du, then what is f'(3)?

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find y as a function of x if y" + 16y' = 0, y(0) = 0, y'(0) = 4, y'(0) = -32. y(x) =

A:

Q: Let f(x) = X x - a Find the value of a so that f'(1) = 1 - 4

A: This question is based on Quotient rule of differentiation.

Q: Given that f(u) = ln7 + 4u - 15e9 - 7u-3. Determine the value of f''(0).

A: Given;

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.