cide whether the limit exists. If it exists, find its value. lim f(x) and (-1)¯ 6 2 T 09 lim f(x) x-(-1)+ +2 2 4

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point…

A: Given function:- ⇒fx,y,z=xy+yz+zx

Q: B: use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: By using Lagrange interpolation formula to determine the relationship between the force and velocity…

Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 − 3x] + x, 2 x<-2 x ≥ −2…

A:

Q: 9. Find the first four non-zero terms of the Taylor series for f(x) = - centered at %3D

A: We have fx=1x The Taylor series for fx centered at x=a is given by:…

Q: Solve the problem. The population P of elephants in a wild animal preserve changes with time (in…

A:

Q: A graph of a function is given. Use the graph to find the indicated values. y + 0 (a) f-¹(1) (b)…

A: Given

Q: Q4. B. Find the tangential vector (T), normal vector (N) and binomial vector (B) for the position…

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

Q: 5. y = log₂ (sin x) 5. y = sec(In x)

A: Topic = Derivative

Q: Directions: Solve each system of linear equations in two variables. Use your answer to navigate…

A: Solve the given system of linear equation in two variables by the method of substitution or method…

Q: Show that the function f(x)= x^3 − 15 cos(pi x) + 1 has three zeros in the interval [−4, 4]. Do not…

A:

Q: 2. Given: f(x)= 5x² + 13x+6 |x+2| [4 - 3x] + x, if x < -2 if x ≥ -2 Determine if lim f(x) exists. If…

A:

Q: Sketch a graph of f(x) = Which of the following graphs correctly plots this function? 3x - 1 5x

A:

Q: : Fit a second order polynomials to the data in the following: 5 6 12 13 X Y 1 4 3 8 4 10 7 10 8 co…

A: From given data

Q: If f(x) = ƒ'(x) = 4x(sin cosx), find

A:

Q: Solve (a) dy +2 = 4x²; y(1) = 2, (b) av' - 4y = x, (c) dr = (d) dx + 2y cot a = csc a. = 3(y +…

A: Solution is given below:

Q: Let f(x, y, z) = x² - tany² 2xyz Solve for fzzy-

A:

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

A:

Q: Q19

A: Concept Used:  Hyperbola formula:(y-k)2a2-(x-h)2b2=1 The variable h represents the x-offset from the…

Q: Evaluate_lim_ (√√9x² − 5x+1+3x).

A: Replace x with -a and then go ahead.

Q: Let f(x)={x^2+2x-1 Evaluate f (-3) and f(5) if x 0 Graph the function:

A: The given function is as follows: fx=x2+2x-1 To evaluate f-3, substitute x=-3 in fx and to evaluate…

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

A:

Q: - 8(x,y) = { -5x²y³ 3x4+7y6 if (x, y) = (0, if (x )

A: Here given function is g(x,y) and it is defined as 0 at origin(0,0).but it's limiting value is…

Q: Evaluate lim (√9x² V92 _5 +1+ 5x+1+3x). - x418

A: Find limit of function

Q: The graph of f' is shown. Let f be a differentiable function such that f TT/2 TT/3 TT/6 0 -TT/6…

A: Tangent to a curve y=f(x)  at a point (a,b) is given by y-b=f'(a)(x-a)

Q: Evaluate 1 lim x+h h 1 X

A:

Q: Suppose that the functions u and w are defined as follows. u(x)=x+2 w(x) = x² 2 Find the following.

A: NOTE: Refresh your page if you can't see any equations. . . take x=-4

Q: 1. 2x - 1 2x - 3 X x + 1 2x + 1 2x² - x - 3 = 0

A: Given equation:- 2x-12x-3-xx+1-2x+12x2-x-3=0

Q: A. FUNCTIONS, LIMITS AND CONTINUITY 1. For the function f(x) = 3× find f(x+1)/f(x-2). *

A:

Q: Each of the following differential equations has an integrating factor depending on only one…

A: as per company guidelines we solve only first question when multiple question being posted

Q: е 3. S d 5√x é √x eve

A:

Q: 4. Find the Laplace transform of following functions: (i) (ii) (iii) f(t) = 20 f(t) = t - 2et f(t)=…

A: Basic formulae for Laplace Transform are required.

Q: 1.) dy dx 2x-y² 1+2yx = 0

A:

Q: 20. lim 1-1√1 21/2+38-5

A:

Q: Solve the problem. An object of mass m is dropped from a helicopter. Assuming that air resistance is…

A: Topic = Differential equation

Q: Eliminate A and B from the relation y = Ae²+ Bxe²x

A: We are given  y = Ae2x + Bxe2x      y = (A+Bx) e2x     ... @ we have to eliminate A and B from @…

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: 3x³y² +y dy 3y3x2-5x4 dx 2.) + = 0

A:

Q: 3. Find d² d02 sin Ꮎ (1 1+ cos 0 Simplify your answer.

A:

Q: (b) xy' - 4y = x, (c

A:

Q: 1.) An= (n +-4: give the first s terms. 2.) An = 48 26 ; insert 5 terms. 3. Ah = {-13, -6, 1,8,...}…

A:

Q: Q3/ A: Find General Solutions for the following Differential Equations (Use Differential Operators).…

A: Given D2+1y=X2cos5X

Q: Given q(x): -8+√/114 10 Select the correct answer below: 8+√114 10 -5x-4 6x²+3 O8+√114 and 5 8+√114…

A:

Q: For which value of b the boundary value problem BVP y" + 25y = sin x, y(0) = 0, y(b) = 0 does not…

A: The general solution of the higher order differential equation=CF(complementary…

Q: Find k so that the function f(x)= 2x+5 if x ≤2 kx +1 if x > 2 can be defined so that it will be a…

A: Given function, f(x)=2x+5               if x≤2kx+1                if x&gt;2

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

A: Given matrix A=2-3501-3002

Q: 2 Determine the following functions (f+s)(x) = (c-g)(x) = (p * f)(x) = (g / c)(x) = (s + k)(x) =

A: Here ,  We have given some of the functions with some operations between them and now we have to…

Q: Multivariate Calculus

A: We have to find the region bounded by the curves:x+y=2 ,  x=0 , y=0.Here x+y=2⇒y=2-x⇒y=(2-x)2…

Q: ข 4 35 -7 16 2 -2 1

A:

Q: B: Evaluate the following: 2- 6r (5.66) 5r (0.66)

A: Γ(5.66)=67.905 Γ(0.66)=1.366

Q: Solve dy/dx = x² + 2xy + y² + 2x + 2y, y(0) = 0.

A: