2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0 3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C) dy x-y = dx x + y

Q: 1. fx² sec x³ tan x³ dx

A:

Q: Evaluate the integral: ³√1 + 100x² da

A: Need to find out the integration.

Q: 5. Let f(x) = 4x²-x+2 √√x Find/ (+)+8+) +g 4 and g(x)=6√x- 1 1 2√x x√x

A: NOTE: Refresh your page if you can't see any equations. . take x=1/4

Q: 11. Prove the identity: tan²x tan²x + 1 = sin²x

A: Simplification

Q: Determine the possible pairs of values (a, b) which make the function below continuous everywhere.…

A:

Q: You will be scheduled to work 40 hours during the first week of summer. You can choose the method of…

A: To get the required answer we need to calculate the total payment in each choice.

Q: The following table gives the number II(t), in millions, of adult Americans with Internet access in…

A: NOTE: Refresh your page if you can't see any equations. . t 2000 2003 2009 I 101 160 190 .…

Q: 1 (x²+4)² dx

A: To find out the integration.

Q: What is the first answer cant read it quite well

A: Let's find 1st answers.

Q: day 2x + 5x dx4 dy 3 dx' - xy = 0

A: To write down the degree and order of the differential equation.

Q: Find the area of the parallelogram whose diagonals are represented by the vectors a =(3,-3,1) and b…

A: See this solution in below

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

A:

Q: L- matrix and U

A: The objective of the question is determine the L- and U- matrix.

Q: x³+4x²+x-6 3 sin(-x)+3x² et f be the function defined at f(x)

A: Function

Q: 6. Write the following power functions in the form f(x) = kx² a. f(x) = -³/3 x3 b. f(x) = ³² c.…

A:

Q: (1) lim,-0 √x+9-3 X (2) lim-0 1–c05x x sinx (3) limx-1 x²+3x-4 x-1

A:

Q: Solve the differential equation by separation of variables: (x²+4) dy + x²y²dx=0 Ⓒ 1 y There is no…

A:

Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): f(x) = m= n= 4 x-2 mx² - nx 2x -…

A: Topic- Limits and continuity

Q: 5 db • ( 0 ) ² + 7 ( 40 ) + 6² - 6 ² - P 5 7 dp b dp4 =

A: To determine the unknown function and the independent variable in the following differential…

Q: Determine whether the three points are collinear. (0,-4), (-3,-6), (2,-2) Are the three points…

A: See this solution in below with details

Q: 6. Let [√16-X² Find y(2√3) 16-x? 2 16

A:

Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

A:

Q: A There is no correct answer from among the given choices. differential equation by separation of…

A:

Q: Simplify tanx (cscx sinx). A B D 0 1 sinx COSX

A:

Q: A V(t) = -1,700t + 32,000; value after 5 years = $23,500

A:

Q: What is the sumation form of the maclaurin series for 1/x*sin(x)? Hint: First find the first few…

A:

Q: -22 the x-axis, x=-1, and x = 1. Use Define R as the region that is bounded by the graph of the…

A: The region R is bounded by the graph of fx=1-x22, the x-axis, x=-1, x=1 The solid is formed by…

Q: f(x) = y 9 8 7 6 5 4 3 2 x + 5 J 5 6 7 8 X 1 2 3 4 Describe the interval(s) on which the function is…

A:

Q: If the general solution of (2x² − 3y²) y'= 2xyisy “¹n|yº| +xª=Cy", what is the value of b? (A) -1 B)…

A: Differential equation

Q: Topic: Differential Equations/Homogeneous equations Please find the particular solution of y2dx+x(…

A:

Q: 2. Describe how the graph of y = 2ƒ (²x) — 3can be produced from the graph of y = f(x). List all

A:

Q: properties

A: Please refer to the image below

Q: You borrowed money and need to pay interest on the loan. You must pay 5% of the $6700 loan to remain…

A:

Q: Find the domain and range of: 1) y = 2) y =√1-x², 3) y = x² - 2

A: We can find the domain and ranges in the below steps.

Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: Solve the differential equation, such that the equation passes through the given point (x, y).…

A:

Q: (a) lim h(x) X--2 (b) lim h(x) x-0 (0, -5) (-2,-7) y y = h(x) X

A: We have to find limit values at given points x= -2 and x=0

Q: Express 2187 as a power of 3

A:

Q: 3 fcsc13 |csc13 x cot® xdæ

A:

Q: 16. For the given periodic function, state: a) the amplitude b) the period -2 4 3 f(x)

A:

Q: Use the spreadsheet to answer the following questions. B3 HNMes 1 A 47 37 94 76 60 Answer: x✓ fx 57…

A: Spreadsheet is given, we have to answer the required values.

Q: To obtain the General Solution of si What will be the form by separation of variables? cosv A)…

A:

Q: Determine the equation of the hypotenuse of the triangle using the given coordinate system…

A:

Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: 5. For what value of k, k> 0, does (6kx-2k) dx = -k³ ? о 1 02

A:

Q: Prove the identity. sin (x-y) = tanx-tany cosx cosy Note that each Statement must be based on a Rule…

A: To prove the identity.

Q: Find the length of the arc in rectangular coordinates. You may need to calculate the value…

A: The given function y=1+6x32 on the interval 0,1 Note:    Multiple questions are given, we are answer…

Q: 3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

A:

Q: 15. Point P(4,-5) is on the terminal arm of an angle of measure in standard position. Determine the…

A:

Q: The following questions should be completed and your answers brought to class. Spending on Baseball…

A: Given graph: The given graph is a bar graph. In bar graph, height or length of the bars are…