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Calculus and Analysis

Differential equations

Please help solving these section 4.2 #6,16,20,26,34 See attached Find a general solution to the given differential equation. Solve the given initial value problem.

Differential Question

Please show all working for solution. Use the variation of parameters to find a particular solution to the nonhomogeneous equation y''+y=secx Write out the general solution.

Use differentials to approximate.

A boundary stripe 3 inches wide is painted around a rectangle whose dimensions are 100 ft by 200 ft. Use differentials to approximate the number of square feet of paint in the stripe.

Differential equations

Hi, can you please help on the following problems? 3.3 # 8,10,12,15 3.4 # 8,10,18,24 3.5 # 2,4,6,8 thanks

Solving Limits algebraically

I came across the following limit while studying and I'm having trouble doing this algebraically. Please help. lim (3sin4x/sin3x) x->0


Find the gradient of f Evaluate the gradient at the point P Find the rate of change of f at P in the direction of the vector u f(x,y,z)= xy^2z^3, P(1,-2,1), u=<1/squareroot(3), -1/squareroot(3), 1/squareroot(3)>


See file. ' Find the probability that the sum of two randomly chosen positive numbers....

Volume with parametric curves

See attached let W be the region consisting of all the points (x, y) such that -1<=x<=1 and 4/(5+2x+x^2)<=y<=1. Compute the volume of the solid generated when W is rotated about the line y=1. Calculus with parametric curves

Quasilinear equation

I have to solve the following quasilinear equation using the method of characteristics: xu_x + yu_y = xy u|y=x^2 = sinx dx/dt = x gives me lnx = t +c_1 dy/dt= y gives me lny = t + c_2 But what do I do with du/dt = xy - yu? Thank you.

Vector Calculus homework help

Please see the attached document regarding homework specifics. Thank-you for your help. I have attached both versions of Microsoft Word (just in case). Let f: &#8477;3 &#8594; &#8477; be differentiable. Making the substitution x = &#961; cos(&#952;) sin(&#966;), y = &#961; sin(&#952;) sin(&#966;), z = &#961; cos(&#966;)

Multivariate calculus

See attached Determine a vector equation...for the line that passes through the point P(1, 2, 3) and is perpendicular to the plane 4x+5y+6z=7. Consider the planes...If these planes are parallel, determine their distance. Otherwise determine their angle of intersection.

Multivariate calculus

See attached Dot and cross product (3P+3P+2P) Determine all values ...such that the vectors...are orthogonal. Determine a unit vector...that is orthogonal to both...

Differential Equations

Please show all steps to solution. Consider the first-order linear differential equation (see attached) (a) Determine the general solution to the initial-value problem(*) with y(1) =0 (b)Find three initial-conditions y(a) = b,for which the initial-value problem has no solution and a

Differential Equations

Please show all steps to solution. Find three points (a,b) in the plane for which the initial-value problem dy/dx= &#8730;(1-y^2 ) y(a) = b has a unique solution,no solution and an infinite number of solutions,r

Differential equations

Hi please help on these section 2.6 #10,18,22,30 section 3.2 # 6,18,25,26 See attached Use the method discussed under "homogeneous equations" to solve Use the method discussed under "equations of the form dy/dx=G(ax+by)" to solve Use the method discussed under "Bernoulli equations" to solve Use the method discussed

Differenetial equation

Hi, Please help on section 2.4 #1,2,3,4,5,6,7,8,10,18,24,30 section 2.6 #1,2,3,4,5,6,7,8 See attached Classify the equation as separable, linear, exact, or none of these. Determine whether the equation is exact. If it is, then solve it. Solve the initial value problem. Identify the equation as homogeneous, Bernoul

Differential equations

Hi, please help on these problems section 2.3 #1,2,3,4,5,6,10,14,20,31 section 2.5 # 10,14 thanks See attached Determine whether the given equation is separable, linear, neither, or both. Obtain the general solution to the equation. Solve the initial value problem. Identify the equation as separable, linea


1. For the graph (see attached) state the limits of g(x) as x approcahes: 1.x= infinity 2. x=-infinity 3. x=0 4. x=3 5. x=-2+ What are the equations of the asymptotes? 2. write a function that satisfies these conditions: the limit at x=3 is negative infinity the limit as x approaches infinity is 2 f(0)=0

Solving differential equation by method of separation of variables

Solve the differential equation by method of separation of variables csc y dx + sec^2 x dy = 0 I have to use separation of variables to solve this problem. The answer given is: 4 cos y = 2x + sin 2x + C I've worked on this problem for quite a while and cannot come up with the given answer.

Describing a region

Describe in words the region of R^3 represented by the equation. 1.) xy=0 2.) xyz=0

Differential Equations Problem

I must verify that the indicated expression is an IMPLICIT solution to the given first-order differential equation. dX/dt = (X - 1)(1 - 2X); ln(2X - 1)/(x - 1) = t

Laplace Transforms

Multiple choice questions for Laplace Transform problems. Please answer and give detailed solution to better understand material See attached