Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If an answer does not exist, enter DNE.) x+1-V x²+3x-1 lim x- 2 6-3x

Q: sociated series. 1. (5)"

A:

Q: p. Based on your table in part (a), complete the following statements. i. As x → – x, f(x) → - Previ...

A: b) i) As x tends to -infinity , f(x) tends to 0 .  as 1/-infinity =0

Q: The edges of a cube are expanding at a rate of 6.452 centimeters per second. How fast is the surface...

A:

Q: 1. Prove that the sum of the consecutive cubes is given by this formula: n²(n+1) 4 13 + 23 + 33 +..+...

A: Given; 1) 13+23+33+...+n3=n2(n+1)2/4 Repost the next questions.

Q: Find the derivative of y = arctan² (x³)

A: This is a problem of differentiation of the function. Based on general formula we will solve this pr...

Q: 3.1 (x+1) (x'+5x+2) ふeren ta ee

A: Topic = Derivative As per guidelines , At a time only one question can be answered.

Q: differential equations solve by bernoulli differential equation xy=(x^2+2y^2)y'

A:

Q: PLEASE HELP ME ANSWER WITH SOLUTION 2 1. A farmer plans to fence a rectangular pasture adjacent t...

A: 2. A rectangular page is to contain 50 square inches of print. The margins on each side are 1 inch.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: f(x) = 1- (1/(x+2)^2)  find f(-x) and f(x+k)

A:

Q: Which of the following is the general solution to the differential equation y(2xy + 1)dx- xdy -07

A:

Q: 32т + 4 Σ (8) Does the series converge or diverge? Justify your answer. TAn+1 n=1

A:

Q: 4. Which of the following represents the differential equation of the family of parabola having thei...

A: Follow the procedure given below.

Q: ende *Related Rates A. Directions. Find the required valucs of and dx assuming that x and at at y ar...

A:

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answ...

A: gx=x2+4x23,  -7≤ x≤8

Q: 7. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 if the digi...

A:

Q: What is the area of the integral of f(x) = 13 – 3x within the interval [1, 3]? AY 14 12 10 8+ 4 2- 0...

A: Integrate f(x) over interval [1,3].

Q: ting factor for the given differential equation is

A:

Q: Given cost function C(q) = q° - 125q“ + 2500q, what quantity minimizes average cost? It would be ite...

A:

Q: 7x + 6y For the function h(x.y)= 9xy - 7° find and dh dy

A:

Q: of (x)} = h %3D a Find leughth

A: Length=integration of  square root of 1+(f'(x)) 2

Q: 1 (a) 2 k* + 9k + 1 k=1 This series 1 (b) > k=1 (2 + k)²/5 This series converges. diverges. eTextbo ...

A: Given; a) Summation of 1/(k4+9k+1) ; k from 1 to infinity. b) Summation of 1/(2+k)2/5 ; k from 1 to ...

Q: Evaluate the following limits 2x2 – 3x + 2 1) lim x-3 2x3 - 3x + 1 z2 – 25 2) lim z--5 z+5 x² – 3x –...

A:

Q: 1) Find the area of the region bounded by the curve y=3x•e-2* and the x-axis, for x>0. i) Rou imal

A:

Q: The demand functions for two products are given below. p1, p2, q1, and q2 are the prices (in dollars...

A:

Q: What is the area of the integral of f (x) = 2within the interval [1, 4]?

A:

Q: Consider the following function. g(v) = v3 - 75v + 7 Find the derivative of the function. g'(v) = Fi...

A:

Q: x 2 x = 2 cx + 9, d Find the values of c and d that make f(x) continuous at x=2. c= d= (If the valu...

A: Topic = Functions c=5 d=19

Q: HELP

A: Please refer to the image below

Q: 4. Expand the binomial; (3x – y)* 12 5. Find the middle term in the expansion of;

A: According to Bartleby only first question can be solved at a time. But I solved first two please lik...

Q: Evaluate the integral (exact value). e6sin (87) + C e6x sin(8x) dx 7

A: We can find the integral as below using integration by parts as below.

Q: Select the correct graph, showingf and g are inverse functions. f(x) = Vx - 3, g(x) = x² + 3, x 2 0 ...

A: two function is inverse if f(g(x)) = g(f(x) = x so f(g(x)) = f(x2 + 3)           = x2 +3-3          ...

Q: w.6 Fwe cars A +B move tersect at right angleftewards the intersection paint AL 25 mi/tr and 30 mi/h...

A:

Q: Find the derivatives of the following functions. 1. y = (4x - 5) ⁶

A:

Q: . Get the derivative of the given function. 2. y - In 7x

A: Solving the problem by finding the derivative of the function.

Q: . Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of rad...

A: Given problem Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 1...

Q: Consider the following matrix. 1 k 2 -5 6 1 Assume that the matrix is the augmented matrix of a syst...

A:

Q: 1 If the given values in a right triangle are cos A = * and a = 2, find the hypotenuse c 3/2 2/2 D. ...

A: For the solution follow the next step.

Q: y (2xy +1) = xy)

A:

Q: Given the the parametric curve S2(t) 1e2t – 12e* + 32t 1. y(t) t5 – 6t + 10 dy (a) Find an expressio...

A:

Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the...

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A:

Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. n4 ens n...

A:

Q: 3. f(x)=(3x' +2):

A:

Q: S sin*x cos³ x dx sin³x sin'x + C 7. C sin*x__sin'x 7. B sin x cos'x. + C 7 sin x cos'x - + C 7. O E...

A:

Q: 6. у" — 2у' %3D 5

A:

Q: Tπ L2 sin3xdx Tπ 4

A:

Q: C. Find the values of the constants c and k that make the function continuous at every number. [3x +...

A:

Q: Determine the equation of the parabola whose graph is given below. Write the equation in general for...

A: Solving the problem by finding the equation of the parabola.

Q: B. Study the solutions of the derivative of the following functions. Underline the term(s) the error...

A: