Solve the differential equation 2xy + y²) dx + (x² + 2xy-y²) dy = 0

Q: Find the general solution to the differential equation y''+5y'+6y=et

A:

Q: 37. v = (60, 11}

A: Unit vector n→ in the direction of a vector v→ is given by, n→=v→v→, where v→ is the length of the…

Q: Find the equation of the final function after all the following transformations have been made on y…

A: The below image has all the steps

Q: 19x + 50 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: 2. [ID # ending in 4 or 7] 2 av Determine (+) ax if v csch y = e*x² . дх ду ду

A:

Q: Given the series E Vn9 +1 Vn9 1. n=1 Explain why the limit comparison test is applicable to check…

A: Using limit comparision and p test.

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 11)i + tj; t = 11 T(11) : N(11)

A:

Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

A: Given that the sum of two number is S

Q: Below is a graph of f(x) = sin x. Find the total area trapped between the curve f(x), the x-axis,…

A: Follow the procedure given below.

Q: A radar, using the polar coordinate system, detects that an airplane is currently located at the…

A:

Q: Let u =, v = where A and B are some constants. Given that ú + 90 = find the value of the product…

A:

Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

A:

Q: (x+1) dx 13 (メ-

A: We have to solve above question

Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: The amount of garbe, G produced by a city with population p is given by G = per week, andp is…

A: As per our guidelines, we can help you in solving only first problem, rest of the problems you have…

Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: This is a function problem

Q: Use the table to evaluate the expression. 1 2 3 4 f(x) g(x) 3 1 6 3 4. (g o f)(2)

A: Here (g∘f)(2)=g(f(2))But f(2)=3(g∘f)(2)=g(3)and g(3)=6Therefore(g∘f)(2)=6

Q: 2. Use the following partial graph of f(x) to answer the next question. f (x)' 10. The value of (f…

A: First we find f(x). Here f(x) is straight line which are passing through the point (4,0) and (0,6).…

Q: The non-homogenous solution of the following equation by using variation of parameter method y" +y =…

A:

Q: A rectangular solid (with a square base) has a surface area of 37.5 square centimeters. Find the…

A:

Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

A:

Q: Find dy/dx: 1. y= "(*++ dx 3 y = ," (x* + )

A:

Q: The temperature in degrees Celsius (C) in Toronto starting on March 1** can be represented by the…

A:

Q: Find dy/dx: 1. y = J" cos t dt

A: Given

Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. Am 0.5 0.5

A: This question is based on graphing a function using horizontal asymptote.

Q: Find fr(r, y) and fy(x, y) given f(r, y) = tan r - cos(r² – y²).

A:

Q: Solve the linear differential equation dy 2y x2 dx 1+x2 x2 y = x? tan-1(x) + c y 1+ x2 =1+x² +…

A:

Q: 4.0 mR/h = A. 0.004 R/h B. 0.04 R/h C. 400 R/h D. 4000 R/h

A: Problem statement is not given so considering unit conversion by given options.

Q: In order to solve with we first write and Setting to get sin 2xdx + cos 3ydy = 0 y(π/2) = π/3 cos…

A:

Q: 4) A degree 3 polynomial function, P(x) has zeros x 2, x = 1, x = m and a leading coefficient of 1.…

A: Here, the polynomial P(x) is of degree 3 and has three zeros x=2,1 &amp; m and the leading…

Q: write the sum in summation notation, using the given lower bound   1/2+2/3+3/4+4/5+5/6=

A: Given:  12+23+34+45+56 If we see the pattern we can say that numerator and denominator of the nth…

Q: The u(x) that converts the equation below into an exact equation x\dy + (2x?e" + 1) = 0 ey + y) dx…

A: Let's find.

Q: suppose f(x)= x^3+ax+b where a<0 and has stationary points at (-2,3) find a and b and find position…

A:

Q: 1. Find the area bounded by a curve v? = 9 – x and the y – axis.

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: 14x + 1250 The average cost for a company to produce x units of a product is given by the function…

A:

Q: Determine the position function if the acceleration function is a(t) = 6sin t+5, the initial…

A:

Q: Investigate the given two parameter family of functions. Assume that a and b are positive. f) =…

A: We will plug the values of a and b to do the analysis.

Q: 22// use the tests indicated in front of each of the series ollowing to determine if the series…

A: 1. Summation of (k+1)/(k2-1) from k=2 to infinity.  2. Summation of 1/(5k+1) from k=1 to infinity.

Q: determine which statement is true

A: Follow the procedure given below.

Q: determine maximum/mininum local values and its saddle points for this function  f(x,y) = 3x^4 +…

A:

Q: Which of the following is the Taylor series expansion of the function (x) =ex? with center at 0. 00…

A: Taylor Series representation of e-x about x=0 is given by, e-x=∑n=0∞-1nxnn!....(i)

Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

A:

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A:

Q: QI// Find the Area bounded by: x = -y2 and x =y-2

A:

Q: 3 S(x) = 6x² + x – 7 Find the coordinates of the point of inflection on and prove that it is a point…

A:

Q: 6. A parallelogram is defined by the vectors (4, 3) and (1, 2). Determine the perimeter of the…

A: The parallelogram is defined by the vectors (4,3) and (1,2)  We have to determine the perimeter of…

Q: Solve the system using Cramer's Rule. - 6z + 2y + 6z = – 14 - 3z - 4y + 5z = – 6 - 5z + 3y –2z = 1…

A: To solve the following system of equations bu using Cramer's…

Q: x²+x dx (x²+1)(x+2)

A:

Q: Weather condition Sunny Cloudy Rainy Snowy Percentage of days 42% 31% 18% 9% A) 1240 B) 3300 C) 2100…

A: Number of days in 2008 = 366 ( leap year ) Number of sunny days  =42%*366=0.42*366 Number of people…

Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

A: