3. Check for homogeneity and obtain the general solution. (Let 4C=C) (x² + y²)dx + xy dy = 0

Q: Find the tangential component of acceleration for a moving particle if its position function is r(t)…

A:

Q: (0) +27= 10; 7(0) = 0,

A:

Q: A chemical reaction converts a certain chemical into another chemical, and the rate at which the…

A:

Q: 17.) Find the derivative using the quotient rule. f(x)

A:

Q: Use the Chain Rule to find dz/dt. z = xy² - x²y, x=t² + 1, y = t²2² - 1

A:

Q: Q4/ The region between the curve y=√x, 0≤x≤4, and the x-axis is revolved about the x-axis to…

A: We need to find volume.

Q: Find the limit x + 3 lim x 5 x²-3x + 5

A:

Q: 1. Use separation of variables to find an explicit form of the solution to the following ODES. Do…

A:

Q: Evaluate 9x³ cos² (¹) dx ·f92³

A:

Q: Q4. B. Find the tangential vector (T), normal vector (N) and binomial vector (B) for the position…

A: Find tangential, normal component

Q: Find A n B. (Enter your answer in roster notation. Enter EMPTY or Ø for the empty set.) A = {b, j,…

A:

Q: Find the General Solution G.S. 1. (y² - 2xy + 6x)dx - (x² - 2xy + 2)dy = 0

A:

Q: Given: f(x)= = 1 2¹ and g(x)=√x +3 2-x Find the domain of f(g(x))

A:

Q: Consider the rectangular box to the right, and suppose that it has no top (a)Write an expression for…

A:

Q: (cos x-cosy-cotx) dx-sinxsiny dy=0

A:

Q: 3x Solve for the complete solution of the differential equation: y" — 6y' + 9y = e³x Inx. What is…

A:

Q: Find the horizontal and vertical asymptotes of the graph of the function f(x) = 3x³ √16x6 + 1

A: We need to find out the Vertical and Horizontal asymptotes of the function given below:

Q: Solved the following set of equations 16x + 2y 2z = 16 2x 14y + 4z = -8 4x + 2y + 18z = 24 Using…

A: The solution is given by below steps

Q: Evaluate Lycos cos x sin³ x dx.

A:

Q: I--2+ b. lim (x+3) --2 2+2 |z+21 2+2 5 2+0+ cos 2-1/ b. lim cos z-1 2-0 cos 2-1/

A:

Q: = Find a function of the form y function shown below: A sin(kx) + Cor y =…

A:

Q: Eliminate the arbitrary constants. y = We-x + Ve³x

A:

Q: 4. Determine the domain ONLY of f(x) = 4-x x²_9

A:

Q: The daily cost per unit of producing a product by the Ace Company is 35+ 0.2x dollars and the price…

A: To find out the revenue function, cost function, profit function, marginal profit.

Q: ул -5 -5-4-3-2-1 -5 45

A:

Q: Solve (e) (1-x²)y' = 4y; y(0) = 1.

A:

Q: Algebra An airplane's altitude declines steadily by 29,750 feet over a 14 -minute period. Find the…

A:

Q: K Use the graph of y=f(x) to graph the function g(x) = -f(x). y = f(x) Ay ~ 12 E Choose the correct…

A:

Q: Determine algebraically whether the function is even, odd, or neither even nor odd f(x) = - 0.72x^2…

A:

Q: Let g(x, y) = cos(x + 4y). (a) Evaluate g(8, -2). g(8, -2) = (b) Find the domain of g. 0 - 1 ≤ x +…

A:

Q: 1) Use the equation y = f(x) from part 1) and solve for x = g(y) as a function of y. = f(x)=7x=49…

A: We have to use the equation y=f(x) and solve for x=g(y) then we have to find L

Q: Simplify and write the trigonometric expression in terms of sine and cosine: tan x csc x=1/f(x)…

A:

Q: Evaluate 10 ļ 1 7ln x X dx.

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitue take…

Q: 6.) Find the limit (if it exists). 6x² + 3x + 10x²+x+ lim x+²)

A:

Q: rdp-(p+√√pr)dr=0

A:

Q: Find the derivative of the function. y=2xe-3x −3ex4 dy dx ||

A: Given query is to find the the derivative of the function.

Q: (y²_2xy +6x) dx=(x² - 2xy + 2) dy=0

A:

Q: (a) Find the general solution of dy/dx = 8x³-4x+1. (b) Determine the particular solution such that…

A:

Q: 1. Graph the following function on the board: f(x)= 0 -∞<x<-1 1+x -1<x<0 1-x 0 0≤x<+1 +1<x<+∞o

A: Please see the below picture for detailed solution.

Q: dy 3. Let y = (f(x) + 5x2)4 and suppose that f(-1) = -4 and = 3 when x = -1. Find f'(-1). dx

A: Given that y=fx+5x24 along with it when x=-1, there will be f-1=-4, dydx=3 We have to find the value…

Q: Find dy dt || dy dt for y = sin 2 (3nt – 4).

A:

Q: Calculate the points of intersection of the curves y=2x-x² and Y=x² and determine the area enclosed…

A: Are of intersection can be found by solving both equations by putting value of   Y from any one…

Q: 5 7 s(%)+{db)+ 6- 63-р +)+6=65 = p P 5

A: Given a differential equation.

Q: Determine if the improper integral converges or diverges. 6- sin p 62 converges Odiverges do

A: We need to choose correct option.

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

A:

Q: Use the graph of y=f(x) shown to the right to graph the following function g g(x) = -f Choose the…

A: see below the answer and explanation

Q: Iff and g are continuous functions with ƒ(7) = 10 and limx→7 [2f(x) — g(x)] = 7, find g(7).

A:

Q: 20. 8] n=1 2² 5n+10

A: D'Alembert Test: Let ∑n=1∞un be a series such that, limn→∞un+1un&lt;1 Then this series is…

Q: A person places Php 85,000 in a savings account which pays 13 percent interest per annum, compounded…

A: The formula for continuous compound interest formula is given by A=Pert where, A= final amount at…

Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {6,…

A: