2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

Q: 2-]x³.e* dx 3- S x².cosx dx

A:

Q: Suppose you go to a company that pays $0.04 for the first day, $0.08 for the second day, $0.16 for…

A:

Q: Use the line sketch tool to draw the horizontal and T vertical components of this vector. Write this…

A: here red show horizontal i component brown show verticle j component

Q: - The demand for your item is given by the following function 2 - 8z (z-8)(z² + 3) Find what number…

A: The given demand function Dx=-x2-8xx-8x2+3+100, so, x≥0. To find the number of products to be sold…

Q: 2. (sec 5x t C9C 5x) dx

A:

Q: QUESTION 6 Determine the unique solution of the following differential equation by using Laplace…

A: Let's solve given diffrential equation by using laplace transform method.

Q: Find the partial fraction decomposition of 2 + 2x-8

A:

Q: Evaluate: x - 4 lim x-4x2 - 8x + 16 O Limit does not exist O 4 O1

A:

Q: Velocity 3.5 3 2.5 2 1.5 1 0.5 1 2 3 5 6 Time (s) Velocity (m/s) 4.

A:

Q: 4)3y-4z = -2 3x-4y+z=-9 3-3x-2y-2z = -5 %3D |

A:

Q: Find the distance from the point (0, -1, -2) to the plane - 4y – 4z = 5.

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: The height(cm) of the candle is a linear function of the amount of time (in hours) it has been…

Q: Find f, fy. f- f(x.y.z) = 3x - 4y 2. 2 +z?

A:

Q: Evaluate the following integral. Answer in 3 significant figure, exponential form, no units, no…

A:

Q: Number

A: Please refer to the image below

Q: The population of Canada geese in the Niagara region is increasing at 2% every year. In 2003 it was…

A:

Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

A: Let's find dimension for minimum cost of given rectangular box.

Q: Find the area of the surface generated by revolving the curve about the given axis. x = 2 cos(0), y…

A:

Q: 10. lim, -6(x-sin'x)(cs scx)' X)( csC X

A: A detailed solution is given below.

Q: dy Find Y dx (x- 2) - (2x+1)4 if y= | Use logarithmic differentiation. x=0 e2x. Vx+8

A:

Q: 8. f2*Inx dx(ו1 + In)x

A:

Q: Find f(t) ( Inverse Laplace Transform )of the following functions пп s+1 1. F(s) 2.F(s) (s +2)´+n²n²…

A: As per Bartleby guidelines we are supposed to answer only first question. Please post other question…

Q: 42 2.

A:

Q: Suppose f(x, y) : where x = r cos 0 and y = r sin 0. 4 af af and ar Find when r 1, 0 -

A:

Q: Q6: Solve Nhe Complex equation a, z+z + Iti = 0 3 b. Z°+ z+ Z +1 = 0 where Z= x

A: Concept: Complex numbers: A complicated equation is one that requires the use of complex numbers to…

Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. b.…

A:

Q: d³x d?x dx dt3 dt² dt (D3 – 2D? – 5D + 6)y = 0 ; when x = 0, y = 1, y' = -7, y" = -1 (4D5 – 23D3 –…

A:

Q: polar of a point are giv the pon R/2 R/2 6f 4 4 2 2 -6 -2 4 6 -2 -4 R/2 R/2 6. 4 4 -6 -4 2 -6 -2…

A: Topic = Geometry

Q: -3x+5 if x ≤ 0 Let f(x) = 4x²-3x+1 if x > 0 Determine each of the following and match your answers…

A:

Q: 26 The sum of two numbers is 40. Find the product of the numbers if their product is to be the…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: af af Find and for the following function. Əx ду f(x,y) = x² - 2xy +9y² af ?x II

A: This question is related to partial differentiation, We will solve it using given information.

Q: 3) Evalnete the itevated integral by Converting the to polar corrdinate, a) dy dx

A:

Q: Answer the question in the space provided and in full details. Show ALL your steps and your…

A:

Q: Solve for x. Leave answers in exact values. a) In(e**) = 25 b) 20 = 4e-2x c) eln(ax) = In e %3D

A:

Q: A statue 4.5m high is standing on a base of 5.5m high. If an observer's eye is on an average…

A:

Q: (D4 – 2D3 + 5D² – 8D + 4)y = 0 (D3 – D² + D – 1)y = 0 (4D3 + 12D2 + 13D + 10)y = 0 (D5 + D4 – 7D3 –…

A: Given

Q: Graph the damped vibration curve for 0 ≤t≤. -t/ (5) d(t) = e cos (2t) Choose the correct graph of…

A:

Q: 2. Let f(x)=x²-5x. Find the difference quotient for f(-2+h)-f(-2) h

A:

Q: When fully multiplied out, what is the 8th term of (x – 3y)'³?

A:

Q: 3. Accumulate P2,500 at 5-% simple interest from November 6, 1988 to April 11, 1989. 12

A: Given :Principal = P2500Rate =535=285%Time : Nov 6, 1988 to April 11, 1989

Q: For an arithmetic sequence a31=67 . if the common difference is (-4), find a1 and the sum of the…

A:

Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

Q: Suppose f(x, y) = xy² + 4. Compute the following values:

A:

Q: Compute for the indicated power of the following: (-võ + iv2)*

A: Please refer to the image below

Q: 7. (a) y(4) when y 2ln 30 1 (b) y() when y= %3D In 2t %3D

A:

Q: For the function f(x): - 3x + 10, evaluate and simplify the difference quotient. Question Help:…

A: The difference quotient of a function f(x) is given by, f(x+h)-f(x)h

Q: Water is leaking out of an inverted conical tank at a rate of 7900 cubic centimeters per min at the…

A: We have to find the water is being pumped

Q: aplace Ul 1. f(t) = t 0 <t< 2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

A: