3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 − 3x] + x, 2 x<-2 x ≥ −2 Determine if lim f(x) exists. If it does, what is the limit? x4-2 3

Q: Find the solution of the differential equation (x + 3y)dx − xdy = 0. a. 2y - x = Cx³ b. 2y + x = Cx³…

A:

Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) 15(855) +…

A: F(s)=15(s-55)+80

Q: If f(x) ƒ'(x) = | = 4x sin cos x, find Find f '(1) =

A:

Q: The number N of US cellular phone subscribers (in millions) by year (t) is shown in the table.…

A: As per guidelines we can solve only one question at a time and maximum three subpart at a time, so…

Q: Draw a fraction-circle diagram that illustrates 5 ·

A: Since you have posted multiple questions, according to Bartleby's policy, we'll solve the first…

Q: 3. Given the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all…

A: Given :fx=x2-1x-1

Q: Use Secant method to find the solution of e-2 – – sin r + 2 = 0 accurate to within 10-5. Take po =…

A: The given equation is e-2x-x-sinx+2=0 and initial conditions are:p0=0.5 ,p1=1.0 The formula of…

Q: Use the given graph to estimate the value of each derivative. (a) f(-3) (b) f'(-2) (c) f'(-1) y =…

A:

Q: Find the solution of the differential equation dx 2y +x+ xy3

A:

Q: dz Find where z = 3x²y³,x = t¹ and y = t² dt

A:

Q: 2√x 1. y = 5√x 2. y = e²x+lnx

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

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

A:

Q: B: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 10 69 8…

A:

Q: Exercise 1 Find the differential equations of the following by eliminating the arbitrary constants:…

A: I am attaching image so that you understand each and every step.

Q: 5. S sin(3 ln x) X dx

A: Need to find out the integration.

Q: Decompose 4 x³ + x²

A:

Q: y' + y² sin x = 0 Ans: y + cos x = c

A:

Q: The following information is given about the function 9 (*): lim, 8- g(x) = 5 lim 8+ g(x) = 5 X- g…

A:

Q: (D³ – D² – 6D)y = 12x − 2 + 5e³x – 18 sin(3x) - -

A:

Q: 6. f10e* √1+2e¹dx

A:

Q: A mummy was recently discovered. It now contains 66.7% of its original Carbon 14. About how old is…

A:

Q: Exercise 3 nd the order of the following differential equations: a.) y" - 2(y")² = (y'-2y)³ d²y V…

A:

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

A:

Q: Find the equation of a plane that is perpendicular to the vector 57- 2j+ kand passing through the…

A:

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) 2…

A:

Q: ข 4 35 -7 16 2 -2 1

A:

Q: The equation of motion of a particle is s= t3 - 27t, where s is in meters and it is in seconds.…

A:

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A: Given ,the representation of even number is 2k, and that for odd is 2k-1 or 2k+1,for some integer k.

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: Urgent!!!

A: Given :-U=set of all real numbersp(x): x≥0q(x): x2≥0r(x): x2-3x-4=0s(x): x2-3&gt;0

Q: Find the equation of the line with slope m = 1 that contains the point (-6, –4). Provide your answer…

A:

Q: Decompose 2x + 5 2x2 - 11x +5

A: A detailed solution is given below.

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 the determinant, given that a b de c e f h i 9 '|| -6

A: We know that if all element of any row is added to the corresponding element of any other row then…

Q: A certain retailers will buy 22 cordless phones from a supplier if the price is $72 each but only 35…

A: This question can be solved by applying the concept of linear equation.

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

A: We can solve the given equation by using the cross multiplication method.

Q: Eliminate A and B from the relation y = Ae²x + Bxe²x

A: Given:y=Ae2x+Bxe2x...................(1)

Q: 9. x², Let f(x)=sin(x), x < 0 0≤x<π/2 x-π/2, x≥π/2 (a) Graph f. Your graph should be accurate with…

A: See this solution in below.

Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Since, you have posted a question with multiple sub-parts, as per company policy we will solve first…

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

A: Given fx, y, z=xy+yz+zx Point P0=1, -1, 2 Equation of the line is x-310=y-211=1-z2

Q: 15. Find f'(x) using the limit definition of the derivative. f(x)=√2-x

A: As we know from the definition of the derivative; The expression for the derivative of the function…

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: f(500) = f(1000) = (10000) = Graph f(x) using the graphing utility. f(x) = -10 &x+1 √4x +9 -5 y…

A:

Q: A = 2001 810 -536

A: We know that if det(A) =0 then matrix A is not invertible, Given A=200810-536

Q: A hardware store purchased a tool at P20,000 per unit. At what price should the tool be sold so that…

A:

Q: (5, 4) and 6 = ( − 7, 8). Compute the following vector projections. Let a = proja b proj; a =

A:

Q: 2. Consider the function f whose graph is below. 1 0 (a) What is the domain of f? (b) Explain why f…

A: Graph of the function is given We have to find its domain and one to one function. Note:    Since…

Q: Inverse mutual funds, sometime referred to as “bear market” or “short” funds, seek to deliver the…

A: A total amount of $9,000 was invested with equal amounts in RYURX and RYIHX and the year-to-date…