Using the Ritz method to find an approximate solution with degree 2 polynomial for the nonlinear problem. After you have previously put the equation in the variational form. y" =y² 2 with boundary conditions : y(0) = 0, y(1)=1

Q: The slope to the tangent line of a curve is given by f(x) = x2 -9x + 12. If the point (0, 9) is on…

A: Given that slope equation and we find the equation of curve. I.e.  df(x)/dx = x2 - 9x + 12. And also…

Q: Graph ƒ(x) = 1/(1 - x) and its quadratic approximation at x = 0. Then zoom in on the two graphs at…

A: Given:

Q: The graph of a derivative f' (x) is shown in the figure below.

A:

Q: Erik is throwing a ball up a long ramp. The slope of the ramp can be approximated by the equation y…

A:

Q: Pure Water Enterprises finds that the marginal profit, in dollars, from drilling a well that is x…

A: The marginal profit is defined as the first order derivative of the profit function. So, we can…

Q: 4. y = In(8x – 3) (2x + 1)

A:

Q: Given these functions m(x) -1, n(x) = 3x + 5 , Find the equation below Find n(m (x)) =

A:

Q: the optim

A: Let point on the curve y=x is (x,x). Then the distance between the points (x,x) and (5,0) is…

Q: would I get the equation with this graph? The anchor point is (4,0) and I tried the equation…

A: Given query is to find the equation of the graph.

Q: How do I solve this? Please show steps. Differentiate: F(y) : y4

A:

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: のfc2)=x?+2%-8 b) £cx)=32°+ムつレー4 (0) E(x)= qx²-3x-2

A: Apply the quadratic formula to find the roots algebraically.

Q: What is the minimum point of the curve y = x2 – 6x + 4? Solution must be in detail

A:

Q: The robotic arm you are working with extends to pick up components at various speeds. Its extension…

A: Step 1: Step 2: Step 3: Step 4:

Q: Mayzie the bird flies takes off the tree and lands on the ground. Her altitude in meters as a…

A:

Q: (3) The demand curve of a firm is p =1200–21q and its total cost is C(q) = 2q° – 66q +600q+1000…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.