3. lim f(x) lim f(x) 4. lim f(x) lim f(x) = -2, = +0, x+3- = 2 and f(2) = 0 = -0O x-2+ x+3+

Q: x2 -4 x2 - x - 2 f(x) %3D (a) State the domain of the function. all real numbers x except x = -1, 2 ...

A: f(x)=x2-4x2-x-2f(x) =x2-4(x-2)(x+1)function is not defined at x=2,-1A) Domain:all real numbers x exc...

Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

A:

Q: Find the Laplace transform of the following: f(t) = sin(5t) cos(5t)

A:

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A: Given that ∫-3023e1xx3dxSolution :∫-3023e1xx3dxlet ,1x=t-1x2dx=dtat x=-3,t=-13x=0,t=∞substituting th...

Q: A software company estimates that the number of copies x, measured in thousands, of its new applicat...

A: To find: The value of dx/dp when the price is $40 per copy and also interpret the result. Given info...

Q: lim x16 x → 0 x2 – 2sinx +2x O 272 O 240 о 1

A: we will solve this using L'Hospitals rule. 

Q: 10. Show that the function f(x, y,z) = 2z³ – 3z(x² + y²) satisfies the Laplace Equation,

A:

Q: Use the graph of the function f shown to estimate the indicated limits and the function value. Compl...

A: The objective is to find the limit of the above function at x equal to 0.

Q: evaluate the given integral

A: The objective is to evaluate the integral.

Q: Question The graph of y =f(x) is shown below (dashed curve). Manipulate the green draggable points t...

A:

Q: For the next three questions, consider the following differential equation: (2y sin x cos x – y + 2y...

A: 2ysinxcosx-y+2y2exy2dx-x-sin2x-4xyexy2dy=0  

Q: What Have I Learned So Far? the letter of the correct answer on the blank. (-2.x, xs-2 1-x²-1,1>-2 1...

A:

Q: If F(x) = f(g(x)), where f(5) = 7, f '(5) = 2, f '(2) = 3, g(2) = 5, and g'(2) = 3, find F '(2). F '...

A:

Q: tollo

A:

Q: Consider the function f(x) = – 4(x – 3)2/3. For this function there are two important open intervals...

A: To find: The value of A which is critical number also need to determine the interval -∞,A,A,∞ at whi...

Q: Find the value of lim f(x). Select the correct choice below and, if necessary, fill in the answer bo...

A: A)from graphlimx→3-f(x) =34B)limx→3+f(x) =-4

Q: (c) Find any vertical or horizontal asymptotes. (Enter your answers as a comma-separated list of equ...

A:

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. Then use the second d...

A:

Q: Please only solve 9,12 by partial fraction

A: We need to solve integrals by using partial fraction method.

Q: Flowers tend to open in the daylight and close in the dark. The percent P of flowers open during a 2...

A:

Q: 5. 4. 3 2- -6 -5 -4 -3 -2 -1 -1 3. -2- -3 -4 - -5+

A: Concept - with the help of graph of Tanx

Q: If f(x) = In(3x + In(x)), find f'(1). f'(1) = 0

A: Given :f(x)=ln(3x+ln(x))

Q: 4. J(2y + 3)? у+2 dy

A: Find your answer below 

Q: Question 1 Classify the stationary point(s) of each of the following functions as convex, concave (s...

A: note: as per our company guidelines we are supposed to answer only 3 subparts of a given question. K...

Q: 12 Find the arc length of y = In(1 – a2) on 0 < æ < 19 No decimal entries. Find the exact value. L

A:

Q: 4. The market for Woozle used to be perfectly competitive, but then Woozlesoft Inc. monopolized prod...

A:

Q: Identify and sketch a) wーg+ 14z?=4 b) 2 2 | 9 16

A: Let's find. 

Q: 7. Determine whether the sequence an = (-1)" is bounded. Determine whether the sequence is monotonic...

A:

Q: The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are g...

A: Given data are,  

Q: 6 1 Determine R(t) if ř'() = (201-4, and R(2) = (3, –5, 0).

A:

Q: 4 f(x)=3sec(x+ Period f(x) Vertical Shift: Horizontal Shift Start End Increments:

A:

Q: With partial fraction decomposition the following rational expression can be expressed in the form x...

A:

Q: QUESTION 19 Define a relation S from R to R by (x, y) ES, if and only if x² + 3y² = 25 %3D (a) List ...

A: A function is a relation which describe that there should be only one output for each input. Or we c...

Q: Four coins are tossed. Let Y be the random variable representing the number of tails that occur. fin...

A:

Q: 9. cos (21) di 10. 11. sin'x cos's de 12.

A:

Q: Find the amplitude, period, and phase shift of f(x) = 2+ cos 2x. Then graph f by hand on the interva...

A:

Q: ACTIVITIES ACTIVITY 1: Practice ! Apply differentiation rules in finding the derivative of the given...

A: 1)y=1/x5 2)f(x)=2/√x 3)g(x)=(2x)3 Repost the next part.

Q: O C. The mean is the most common value in a data set. It is not affected by outliers. O D. The mean ...

A:

Q: e2a d.x et + 3

A: Given ∫e2xex+3dxSubstitute u=ex+3→dudx=ex→dx=e-xdu= ∫u-3udu= ∫1-3udu= ∫1 du-3 ∫1udu

Q: Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - oo and oo wh...

A:

Q: Solve the given differential equation. All solutions should be found. dy = e + 15y da NOTE: Use c fo...

A: Given:- y'=e9x +15y  To find:- General solution for given differential equation

Q: 9. Find all second order partial derivatives for the following functions: a) z = xe-2y + x In(y) + y...

A:

Q: In the 8-puzzle game, assume that the start state is: 2 5 1 4 7 8 An agent is to be designed to solv...

A: 1. In a system, if we can determine the state of the system at all moment then that system is called...

Q: 8. Find the limit, if it exists, or show that it does not exist: 2x-y a) lim (xy)(1,2) 4x2-y2

A:

Q: Find the derivative of the function. h(x) = log,(x + 9) h'(x) = %3!

A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

A: To find the volume.

Q: QUESTION 7 Write the form of the following argument, and prove that following is a vali If 91 is a p...

A: Given: Statement:  prove that following is a vali If 91 is a prime number, then 13 is not a divisor ...

Q: 1. Given the vectors à = (-1, 1, 1), b = (2, 1, –3), and ở = (5, 1, –-7), calculate the value of eac...

A: Note:- according to the company policy we can attempt only three subparts of a question so please up...

Q: 4. Determine the value of n such that Sn can be used to approximate the number of the following seri...

A:

Q: dy = ay + b whose dt Write down a differential equation of the form 17 as t→ oo. 18 solutions all ap...

A: