Solve the seperable differential equation for. dy 1+ x ;x > 0 xy5 dx Use the following initial condition: y(1) = 4.

Q: The length l, width w, and height h of a box change with time. At a certain instant the dimentions a...

A: The given data is: l=1 mw= 2mh= 2m And, dldt=-2m/sdwdt=-2m/sdhdt=3m/s  To find the rate at which the...

Q: Let f(x, y) = xy – y + cos x. af Find (a) fe dy and (c) the mixed partial fæy. (b) O (a) xy - y (b) ...

A: Find your answer below 

Q: The monthly water charge for a farmer based on his consumption can be calculated using this function...

A:

Q: - Is the given point a Solution to this graph? (-1,–2)

A:

Q: Use any appropriate method in finding the indicated solution of the following differential equations...

A:

Q: 1. Write the equation for Sn, the nth term in the sequence of partial sums. Then determine the sum o...

A: follow next step

Q: Find for F(X,)= Sin xy+ T Y²-x = 0

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

Q: Current Attempt in Progress An oil slick on a lake is surrounded by a floating circular containment ...

A:

Q: 7. Which of the following functions is defined implicitly? 2х-1 b. y = c. (x - 1)2 + y2 = 4 d. y = c...

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

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: In Exercises 1-4, use the comparison test to confirm the statement. 1. 2 diverges, so diverges. n-3 ...

A:

Q: Q2: Find the solution of the following Differential Equations 1. dx2 d²y dy – 6y = 0 - - dx 2. y" + ...

A:

Q: A radar follows a plane moving overhead. When the radar has an angle of π/6 with the ground the dist...

A: Speed

Q: (a) Using a function of the form y = a*b^x, with x = 0 in 1900 and y equal to the national debt in b...

A: Here are the answers  1) y=1.595(1.086)x  2) 29522.6038 3) 2034  Here is the complete answer for the...

Q: The region bounded by the curve ×=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A: We have to find volume. 

Q: cos x dx Sx x sinx cosx dx 4. 3.

A:

Q: 2. For the following complex numbers; perform the indicated operations. Expressresults in rectangula...

A: Given: za=-2-5izb=2.15e4.18izc=1.75cos165°+isin165°zd=0.745∠-36°ze=1+3izf=0.953cos324°+isin324°zg=2....

Q: 4. Determination of Integrating Factors: Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 O 2r? ...

A:

Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 8j + k v = 8i - 9j (a) radi...

A:

Q: Approximate the sum of the series correct to within 0.00001. (-1)" n= 1

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: topic - vectors

Q: Which of the following is equivalent to the surface area of rotation of the function y on the interv...

A:

Q: (y² – xy) dx – x²dy = 0 Ix-

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: 1 dx V1 –x²

A:

Q: its principal argument. 12. Suppose the complex number z is situated along the real x axis, then the...

A:

Q: Jse cylindrical coordinates to calculate fSfw f(x, y, z) dV for the given function and region: f(r, ...

A: We need to evaluate integral using cylindrical coordinates.

Q: c notation and fractions where needed.)

A:

Q: Approximate the sum of the series correct to within 0.00001. (-1)" Σ n6" n = 1

A:

Q: 4. Find a polar equation in the form r = f(0) of the ellipse with eccentricity e = - such that one o...

A:

Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

A:

Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Let's find. 

Q: Solve the following: a) [4/(x+ 1)] – [2 / (2x – 1) b) (1/y)+(1/2y)+ (2/3y) c) (2a²b³/3z²)÷ (ab²/2z) ...

A:

Q: b) | sin “ xdx d) [ /tan x sec“ ,

A: Given problem:- b.   ∫ sin4(x) dx  d.   ∫√tanx sec4(x) dx

Q: 6. |x²e-2*dx

A: Solved below

Q: Prove the following: sin² 0 – cos² 0 = 1– 2cos² 0 %3D

A:

Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 4j + k v = 4i – 6j (a) radi...

A: The objectives to find the angle between the vectors in radians and degrees.

Q: Express the parametric y = 2 +9 in the Cartesian form y f(x). curve x = t + 6

A: This question can be solved by eliminating t from both the equation.

Q: The next step is to find du = g'(x) dx. First find g'(x). %3D g(x) = x° + 8x g'(x) = Therefore, we h...

A: We can find the required answer in the following steps

Q: In the process of solving the differential equation g" – 5x'y = cos(5x), x > 0, - which of the follo...

A:

Q: - 322 - 4x - 5 Set up but do not evaluate the integral to find the length of the arc of the curve y ...

A: Given query is to find the integral form arc length.

Q: 2. Tell one Solution to this graph. 1.

A: topic- inequality

Q: 4. DETAILS LARAPCALC10 3.2.004.EP. Consider the following. f(x) = -4x + 3x + 2 Find f'(x). f'(x) -8x...

A:

Q: 10. y-5dy -y-4dx = xdx; when x=y%3D0

A:

Q: Find an equation of the tangent line to the graph of f(x) = xe¯X at its inflection point. y =

A:

Q: Exact equations: Solve * (2x + 3y) dx + (3x + y - 1) dy = 0 O x* + 6xy + y² – 2y = c O y2 + y* = c

A:

Q: 3. A jar sauce. How many cups of spaghetti sauce do 4 jars contain?

A:

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y = ...

A: We have to solve above derivative 

Q: (b) For the matrix 1 -2 A = 3 -2 -1 \12 3 -5. (i) (ii) (ii) Determine the characteristic equation an...

A: