solve the following differential equation 1. (x2+ 1)y' + 4xy = 3x

Q: 7) Use the method of Undetermined Coefficients to solve y) +2y"+y = 3 sint - 5 cost. You can use…

A: Please see the below picture for detailed solution.

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (3z-2x³-2y²-2) b.…

A:

Q: Find a possible formula for the graph of a function G(x) above: G(x) =

A:

Q: By considering different paths of approach, show that the function below has no limit as…

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: Complete the parametric equations for the line where the planes 10x - 11y - z = 9 and 12x 13y + 3z =…

A:

Q: AB3: Evaluate [² xf² (4-x²) dx =-5 AB4: Using a trapezoidal approximation with the three…

A: Note:- Kindly check the answer again i am giving best from my side.

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A:

Q: sinh(4ln(4x))

A: Given query is to simplify the expression.

Q: Find the minimum cost of a rectangular box of volume 190 cm³ whose top and bottom cost 4 cents per…

A:

Q: Suppose f(x) = x³ + 6x-404. A root exists between x = 7✔ 7 and x = 88 (Enter consecutive integers,…

A:

Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

A:

Q: 1. Given f(x) x+3 (a) Find f'(x) by the definition of derivative. (b) Write an equation for the…

A:

Q: Find 3 4 [² 6² ² 2 2 x + y dydx.

A:

Q: Selected measurements of a continuous function f are given in the table, Use Simpson's Rule to…

A:

Q: Evaluate the integral using partial fraction method (x² + 5) (x² + 1) (x − 9) (x − 8) J dx

A: Given integral:- ∫x2+5x2+1x-9x-8dx

Q: 1 // √₂²²² + 3² + ²² dV, where E lies between the spheres x² + y² + z² = 16 and E Evaluate x² + y²…

A:

Q: The graph of y=f(x) (solid) and its tangent line at (0, 2) (dashed) is shown. 10-9-8-7-6-5 10- 9 8 7…

A:

Q: EC1: Find a member of the family of solutions of ry"+y+√ = 0whose graph is tangent to the x axis at…

A: Solution: Consider  Substituting  gives,

Q: (b) Indicate whether the first function of each of the following pairs has a smaller, same or larger…

A: (i) n(3n+7) = 1021n2          Because  3n2 +7n = 1021n2  , here, first function and second function…

Q: at satisfy the conclusion of the Mean Value Theorem for the following function and interval. Enter…

A:

Q: An object oscillates up and down on the end of a spring, with acceleration (in m/s²) given by the…

A: Here we have to find the velocity and distance function.

Q: Suppose that f(x, y) = eª/y on the domain D = {(x, y) | 0 ≤ y ≤ 1,0 ≤ x ≤ y³}. D Q Then the double…

A: The given function is: fx,y=exy 0≤y≤1, 0≤x≤y3 To find ∫∫Dfx,ydxdy

Q: Find the limit of the sequence: 01 DNE e (-1)") In n

A:

Q: An object is moving with velocity (in ft/sec) v(t) = t² – 3t+4. At t = 0, the object has a position…

A:

Q: Make a table of values and sketch the graph of the equation. x + y² = 9 y

A:

Q: Find and sketch the domain of the function. f(x,y)=√y-x-3

A:

Q: how do I find the inverse of f(x) = 2(√x) + x^3

A:

Q: Find y as a function of x if y" - 7y" +12y = 18e", y(0) = 25, y'(0) = 26, y'(0) = 25.

A:

Q: 6л Graph the set of points whose polar coordinates satisfy the equation 0= 7 бл Choose the graph…

A:

Q: sin 0 cos² 0-cos 0-2 2. S. de 3. fx² tan-1 (1) dx 4. f(cot ¹ x + tan-¹ x) dx

A: The given integral is;  3) x2tan-1(x/2) 4) cot-1x+tan-1x.

Q: Find a function f(x) such that f'(x) = 7e² + 4x and f(0) = −2 f(x) =

A: We need to find out the function.

Q: Given an acceleration vector, initial velocity (uo.Vo,wo), and initial position (Xo YoZo), find the…

A:

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1,100- dv V…

A:

Q: Use the first derivative to find all critical points and use the second derivative to find all…

A: Given:   fx=x4-18x2+4 To Find:  By using the first derivative test to find all critical points  and…

Q: Find a function f: R → R that is continuous at exactly one point.

A: We will find the required.

Q: ) (a) Let f(x) = 6 + f'(x) and f'(4). f'(x) = ƒ'(4) = - x + C 6 Find

A: As per the guidelines  we are supposed to answer only one question at a time. If you want answers of…

Q: At what points is the function y= cos X 6x + 12 continuous? Describe the set of x-values where the…

A:

Q: Find the solution of the following initial value problem. = 9x (x² - 1); g'(x) = 9x xo The solution…

A:

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

A:

Q: Given the function f(x) = −2x² Find the difference quotient f(x+h)-f(x) h Find f'(x) by determining…

A: Please see the below picture for detailed solution.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: 5) x² √2x - x² S√zi

A: ∫x22x-x2dx since you have posted multiple question i can answer first question as per our company…

Q: How much work is done lifting a 10 pound object from the ground to the top of a 25 foot building if…

A: Given :   Cable weight used 1.5 pounds per foot

Q: An employee's monthly productivity M, in number of units produced, found to be a function of the…

A: Given query is to find the year when maximum productivity achieved.

Q: Determine if the following are linear, or non-linear systems: a) y(t) = 2t + x(t) b) y(t) = sin(x…

A:

Q: Evaluate sinh -1(4/3)

A: Given: sinh-1(4/3)

Q: Given the the function y₁ = 4 is a particular solution of the differential equation x2y" - 7xy +…

A:

Q: Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the…

A:

Q: During a walk-a-thon, Noah's time in hours, t, and distance in miles, d, are related by the equation…

A: The equation is given as , 13d=t where t is time in hours and d is distance in miles.