Suppose that Pr[A|B] = *, Pr[A] = %3D 24 , and Pr[B'] = ? . Find Pr[B|A']. %3D

Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

Q: S(x*+1)(x* + 5x)'dx 11.

A:

Q: Differentiate. x2 -9 f(x) = In f'(x) = O

A: Explanation: Given that,  f(x)=lnx2-9x

Q: Shouldn't the 6 be divided by a two, so f'(c) = 3?

A:

Q: Find d can'(x²cosbx) clx

A: To find:- Derivative of tan-1(x2 cos(x))

Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

Q: If P(A) = 0.35, P(B) = 0.87, and P(A or B) = 0.93, then P(A/B) = (Please round to two decimal…

A: According to the given information in this question We need to find the following probability

Q: 1/(x−7)>5

A: Given inequality is,

Q: Let x +3 f(x) = x + 7 f(-2) = %3D

A: Solution )

Q: 1 If f(x,y,z)= of then x-y-3-

A:

Q: Let f(x)=V2x/x. Then f"(1)= Select one: 3 16 3 8/2 - 36 7 21 O None of the above

A:

Q: Evaluate f, Iz2 – 4| dz

A:

Q: 3 In Oregon, of the soft drink bottles are recycled each year. A bottling company there produces 1.2…

A: Given, 35 of the soft drink bottle are recycles each year and x year later the number of bottles…

Q: Suppose that Var(X) = 934.93, Var(Y) = 11297.02, and Cov(X,Y) = 2912.35. What is Var(.87X + .13Y)?

A: The given .The aim is to find the .The formula used .

Q: Determine p' (x) if p(x) = (5x)" and a = 4. .

A:

Q: du _ dv dy dx If f(z) =z²+z - ,2

A: Take z= X+iY and proceed

Q: let hG) = f(x) %3D where f(-3) = 7, f'(-3)= - 9, g(-3) = -2 and gʻ(-3) = 1. What is b'(-3)? %3D %3D

A:

Q: 3s+7, Find L'f 's2+9*

A:

Q: Suppose that Var(X) = 879.05, Var(Y) = 8681.72, and Cov(X,Y) = 2281.58. What is Var(.08X + .92Y)?

A: The objective of the question is to find the variance of the linear combination of two random…

Q: 1 Evaluate 1 e ,2

A:

Q: Americans receive an average of 17 Christmas cards each year. Suppose the cards is normally…

A: Note: As per the guidelines, we are only allowed to solve three subparts, please post the other…

Q: Ex: EVALUATE Γ (2.5)

A:

Q: ſ csc' xdx

A: Solution is written in below steps.

Q: Find dy of

A: Use the chain rule of differentiation and simplifie the result.

Q: 17. S(p) = /p - p %3D

A:

Q: Evaluate x' V1+x? xp=

A:

Q: 35. f'(8) = - 64 64

A: Consider the following equation: y=-164x+14 Differentiate y with respect to x:…

Q: (x*. In x dx = ?

A: Solution

Q: solve for x if CDy=4(x-E)

A:

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.