A new cell phone is introduced into the market. It is predicted that sales will grow logistically. The manufacturer estimates that they can sell a maximum of 100 thousand cell phones. After 42 thousand cell phones have been sold, sales are increasing by 2 thousand phones per month. Find the differential equation describing the cell phone sales, where y(t) is the number of cell phones (in thousands) sold after t months. dy dt Enter at least 3 decimal places for the constants.

Q: Q1) For the following functions, find fxx, fyy, fxy and fyx. 1. f(x, y) = e* + x In y + y In x

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

Q: » fee'a

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Determine whether the definite integral converges or diverges and evaluate it if it's convergent im...

A: ∫0∞ xx+1dx

Q: Find the domain and range of the function h(x, y) = 4\/-5y + 15x“. %3D Indicate the domain of h in e...

A:

Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

A: Both the questions are based on partial fraction.

Q: y"(x) – 4y '(x) + 4y(x) = 4e²x; y(0) = -1, y'(0) = -4 Answer: y(x) = e?x (2x² – 2x – 1)

A:

Q: The integral dz is equal to 2e + C. Select one O True OFalse

A:

Q: using seperation of variable method, solve dy/dx=x3y2

A:

Q: about lim f(x, y)? (x,y)-(0.0) Using the two-path test, lim (xy)-(0,0) f(x, y) = 1. lim f(x, y) exis...

A:

Q: What is the particular solution to the differential equation = (x³ – 1)(2 – y) dx with the initial c...

A:

Q: 2020, the population of Ethiopia was 1.65 times as large as the population of Thailand. We can also ...

A: Given query is to find the population of Ethiopia in terms of percentage of population of Thailand.

Q: True or False: If dx =In|x-3|+B In|x+2|+C %3D (x-3)(x+2) then B = 5° Select one: O True O False

A:

Q: Consider the function f(r) %3D f(1) has two inflection points at x = C and x D with C <D where C is ...

A: Given problem:-

Q: Write the differential equation modeling this situation. dy dt

A:

Q: 2. Use the Integral Test to determine if the series 1 (n+ 2)/4 n=1 converges or diverges.

A: Given problem:-

Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second derivat...

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1) 

Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range 

Q: manufacturer believes that the cost function C(x)= 5/2 x^2+ 125x +860 approximates the dollar cost o...

A: Given query is to find the production level when marginal cost is $335.

Q: Let fx) = 10x +4-15 ex, Then the equation of the tangent line to the graph of fa) at the point (0,-1...

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

Q: 28. 50 n=0 4/3

A:

Q: Solve log3 (2 – æ) = 3. |

A: Solution: log3(2-x)=3

Q: Choose the correct graph of the function (in blue) and its derivative (in red) below. O B. c.

A: We will use the fact that where the function has maxima and minima derivative graph will show value ...

Q: An equation of the plane passing through A(2,1, –1), B(0,–2,0), and С (1,-1,2) is: 7х — 5у — z %3 10...

A: We have to find an equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2).

Q: Use L'Hopitals's rule to find lim (2 – x)tan(ra/2). (Tx x→1

A: We use elogu=u and l- hospital rules in this question to find limit.

Q: When a particular amount of money P, called the principal, is invested at the interest rate r and is...

A: Given interest is compounded annually, therefore n=1

Q: The slope of the tangent line to the parabola y = 2a2 + 2a + 6 at the point ( – 2, 10) is: The equat...

A:

Q: he demand, D, for a new rollerball pen is given by D = 0.006p° - 0.4p + 180p, wherep is the price in...

A: Since you have asked multiple question, we will solve the first 3 part of the question for you as pe...

Q: (3tanx-2cosy)sec²xdx

A: We will solve the differential equation. 

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

A:

Q: find the second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

Q: c) : Evaluate the integral xp- x2-4x-5

A:

Q: The range of the function f(x, y) =16-4x² -9y is equal to: [0, 4] [0, 16[ O This option O This optio...

A:

Q: Let the region R be the area enclosed by the function f(x) = x³, the horizontal line y = –1 and the ...

A: NOTE: Refresh your page if you can't see any equations. . here we have the region is bounded by the ...

Q: x'- x - 3x - 2 dx 4 x* - x' + 4x- 4x .3 |

A: To find out the integration of the function given. 

Q: 6. Use the Method of Substitution to find the indefinite integrals: et*dt b) /; 9 xp=

A:

Q: Evaluate the integral .8 xV x+1 dx

A:

Q: २२ 221 find the Pur Pe

A: In this question we will use basic concepts of calculus i.e concepts of limits and continuity. Solut...

Q: Find a solution to the differential equation dy 4x3 dx ey which satisfies the initial condition y(0)...

A:

Q: Evaluate the integral: 1 2x + 4 dx x² +1/

A:

Q: Solve the given initial-value problem. (Use x as the independent variable.) 2y'y" = 1, y(0) = 2, y'(...

A: Here we have to solve the given initial-value problem.    2y'y"=1 , y(0)=2 , y'(0)=1 

Q: Given f(æ, y) = a° + 3ry* – 2y%, find f-(x, y) : fy(x, y) = %3D

A:

Q: owner of a ranch has 1900 yards of fencing material with which to enclose a rectangular piece of gra...

A: Given query is to find the dimensions for maximum area.

Q: 2. Calculate the double integral 2ry dA, where R is the triangular region with vertices (0,0), R (1,...

A:

Q: S (1 – cot² x) dx b)

A:

Q: suppose a baby food company has determined that its total revenue R for its food is given by R= -x^...

A:

Q: suppose for a particular commodity, e=.25 and that currently 90,000 units are selling for $6 each. H...

A:

Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

A: The given data is: C'x=-0.00001x2-0.02x+46 for x≤1300 Approximate the total cost of manufacturing 13...

Q: 3. Find the arc length of y = 3x3/2 on the interval 1<x< 3 %3D

A:

Q: lim ("V52"-1 52n-1

A: F