23-24 How would you "remove the discontinuity" of f? In other words, how would you define f(2) in order to make f continuous at 2? 23. f(x) = x²-x-2 x-2 24. f(x) - x³-8 -4

Q: Find the homogenous liner equation  y = x2sinx + e5x

A: Given, y=x2sin x+e5x

Q: se implicit differentiation to find the equation of the tangent line to the function defined…

A: Given x3-x2y5=-2,point (-1,1) The objective is to find the equation of the tangent line to the…

Q: Q2/ A: Find the Fourier Series of the function : f(x) = X + n if - < X < π and f(x+2n) = f(x)

A:

Q: [200] 020 00 02

A:

Q: A || [3 2 4 2 3 0 2 0 -2 1-3 0 3 2 57 10

A:

Q: 2√x 1. y = 5√x 2. y = e²x+lnx

A: Basic identities of derivative are used after some manipulations.

Q: b. C. x√5x-1 (b) lim x-1 x-3 (c) lim x-4 3x - 12 |x4|

A: From the definition of the limit; The limit limx→afx exists when the left-hand limit and the…

Q: A = [-2 3] 1 4

A: Given, A=-2314 AT=-2134

Q: Evaluate lim √9x² − 5x + 1 + 3x 3x). X118

A:

Q: Solve using integration of parts:  ∫x2 cos x dx

A:

Q: Find all the second-order partial derivatives of the following function. 2 2 w = 2x tan (x

A:

Q: I.B. Sketch the graph of a function f satisfying ALL the given conditions. ● • f(-4)= -2 ● The…

A: Information                                             Graphical interpretation

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 2+ Ⓡ C 1 2

A:

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 EPIC Does not exist 02 0…

A:

Q: For the function g(x,y) → 5.73-x+ 0.27-x² + 5.31-y² +8.43-x-y + 6.58 determine S².S². 2 g(x,y) dx dy

A:

Q: 2x + [2x] x+ 2+ x² + x - 2 Evaluate lim 2x+ [2x] x+ 2 x²+x-2 and lim

A: Given information limx→-2+ 2x+2-xx2+x-2     and    limx→-2- 2x+2-xx2+x-2.

Q: Find the degree of the following differential equations: a. y'" - 2(y")³ = (y')² + 3y b. √√y²-(y')³…

A:

Q: Solve the problem. dP The rate of growth of a population P is given by t =kP+N, where N is a…

A:

Q: Find the following limit: Submit Question lim 2-2 Answer: (The answer will be an integer or whole…

A: Given, limx→2x3+3x2-15x+10x-2

Q: x4+5x+6 x-2x4+5x-6 lim

A: The given limit is a divergent and it does not exists

Q: (√9x²–5x+1+3x). Evaluate_lim (√97²

A: Here we have to use the concept of the limits. I have appended formula used in the solution part

Q: sin cos 0 cos sin

A:

Q: Use the properties of limits to help decide whether each limit exits. If a limit exists, find its…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate lim h→0 cot(+h)-1 h

A:

Q: 3.2 ff (u x + y)² dx dy Ő

A: When integrating with one variable the other variable is treated as a constant. When the limits of…

Q: Consider the vector function given below. r(t) = (5t, 3 cos(t), 3 sin(t)) (a) Find the unit tangent…

A: NOTE: Refresh your page if you can't see any equations. . the unit tangent vector you have already…

Q: Matrix multiplication 21 [4 3 = [₁ ²], B = [1/2 2 1/² ? L3 4 L2 1 1. Ex: Find AB if A =

A:

Q: 2. A circular walkway is to be built around a monument, with the monument as the center. The…

A: Given Coordinates of the monument (0,0) Distance of any point on inner boundary from the monument is…

Q: 3x² + 3x - 1 6x³ - 17x2 - 4x + 3

A:

Q: y = √x = 1 -

A: Let us take f(x)=x-1. Now,            =12x-1x-1' =12x-1· 1=12x-1

Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: Evaluate_lim_ (√9x² − 5x +1+3″

A:

Q: Decompose 4 x³ + x²

A:

Q: following limits, if they exist. lim (x,y) →(0;0) x³ + x²y + 2y³ x² + y² ;

A:

Q: y = -14x+49. X-7

A:

Q: choose the correct answer and answer it all

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

A:

Q: Given the symmetric formula:   (x + 8)/2 = (y − 6)/3 = z − 7   Find the parametric formula of the…

A: The parametric formula can be obtained by equating the equation of given line with t

Q: Given: f(p) = Evaluate lim f(p). p-1 Choices: (2p+3; p 1 a. Limit does not exist b. 5 C. 2 d. 6 ;

A:

Q: го о 0 0 0 1200 0430 1 2 3 8

A:

Q: What is the value of º₂ 6x(−x² + 2)³ dæ? (Hint: let u = −x² + 2)

A: The given integral is ∫-206x-x2+25dx We have find the value of the integral.

Q: [2-3 57 A=0 1-3 0 0 2

A: Given matrix A=2-3501-3002

Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

A:

Q: 3y(x²-1)dx + (x³ + 8y - 3x)dy = 0; when x = 0, y = 1.

A:

Q: Iff and g are continuous functions with ƒ(7) = 10 and limx→7 [2f(x) — g(x)] = 7, find g(7).

A:

Q: 8. Find z₁ if z = xyev, x = rcos (t), y = rsin(t), when r = 2 and t = 516

A:

Q: A = 2 -1 2 5 5 -1 0 43

A:

Q: B) Find the area of the region between the curves x = quardrant. = y² and x = y + 2 in the first

A: The given curves are x=y2 and x=y+2.   Now find the points of intersection between the given curve.…

Q: Find f'(x) at the given value of x using the limit definition. (The limit as h approaches zero of…

A:

Q: 10 07 0 1 0 -5 0 1]

A: