1) Write a differential equation describing this system. This implies that you need to find the equation of the line on the graph. df = dx 2) Find the general solution to this differential equation. Find the function f(x) whose derivative is the equation of the line graphed. The general solution is: f(x) = +C 3) Now given that graph of the function f(x) includes the point (0, 100) find the specific solution of the differential equation found in 1). i.e, in addition to the general solution you will have to find specific value of the arbitrary constant C. The speicifc solution is: f(x) = 4) Now find the specific solution of the differential equation found in 1) given that the graph of the function f(x) includes the point (2,0). The specific solution is: f(x) =

Q: and (a) (b) (c) f: R² → R² (x,y) → (y,x) g: R² (x,y) → R² (x+3, y - 4). Describe the geometric…

A:

Q: The general solution to the equation y'' + 4y' + 3y = 0 has the form c₁eat + c₂ebt where a < b. a =…

A: (a)  The given differential equation is                         y''+4y'+3y=0      The auxiliary…

Q: if 2 = 1n (x²2y), and X=u+* Усе (chain rule) find 27 and az 2v fe

A:

Q: 1. Let A=M(f) be the matrix associated with the linear map B f(x,y,z) = (3x-y+4z,y+z-x,x+y+z)…

A:

Q: The system of first order differential equations y₁ = -4y1 +9y2 + 1 Y2 = 9y₁ − 4y2 + 1 where y₁ (0)…

A: We solve it by eigenvalue and eigenvector method.

Q: Question 39 1. Let A=MB (f) be the matrix associated with the linear map f(x,y,z) = (3x-y +…

A:

Q: Using resolution refutation prove + (-p V q) → (p →q)

A: To prove: ⊢¬p∨q→p→q, using resolution refutation.

Q: Consider the periodic function f(t) defined as follows: f(t)=4-3e for 0 < t <2, and f(t + 2) = f(t).…

A:

Q: -10 -8 -6 -4 -2 10 8 6 2 2 f -8 Y 10 2 6 8 +x 10 Identify the x-coordinate of the absolute minimum…

A: We know that an absolute minimum is a point where the function obtains its minimum possible value.

Q: a) Find a point-normal form of the equation of the plane passing through the point P =(4,-2,1) and…

A:

Q: Determine whether the following series converges. 4(-1)k 2k +9 k=0 OB. The series diverges because…

A: I have given the answer in the next step. Hope you understand that

Q: In the Euclidean inner product space R4 with an orthonormal basis B=(1.1.1.1.1.1.-1,-1),…

A: Given: Euclidean inner product space ℝ4 with an orthonormal basis:B=121,1,1,1, 121,1,-1,-1,…

Q: 1.Let A=M®.() be the matrix associated with the linear map f(x,y,z) = (2x-2y+ 2, x-4y+z,x-y-z)…

A:

Q: Let A be the set of all binary strings of length 3. Let ≼be a relation on A such that for any s ∈A…

A: Given A is a set of all binary strings of length 3. Given ≼ is a relation on A such that for any s…

Q: Use the ordinary interest method to compute the time (in years) for the loan. Round your answer up…

A: Principal Amount (p) = $25, 000 Interest (I) = $ 6,450 Rate (r) = 8.6% We have to find time (in…

Q: 4.3.27. Find the QR factorization of the following matrices: 2 0 -1 1 1 -1 −1 3 1 0 1 2 -1 1 1 -1 1…

A: This is a question of linear algebra.

Q: 3 (d²x)². 7 2 y (dx)² + y ² (dx) ² + 3y || 5x

A: Order of a differential equation  The order of the differential equation is highest order of the…

Q: Show the (sum of) integral/s equal to the length of the portion of  from X to Y traced…

A:

Q: Teams in an adventure race earn 3 points for each flag they find. Each team loses 4 points for each…

A: Player Flag Time (minutes) Point gain Point Lose Total point A 25 91 75 8 67 B 30 101 90 48 42…

Q: THEOREM 4.2.4 If z = x + iy, then sin z = sin x cosh y + i cos x sinh y, cos 2 = cos x cosh y − i…

A:

Q: 6 7 A) y=e+e B) y=e" C) y=e+e D) y = ex By using a suitable substitution, the non-separable ODE…

A:

Q: Again consider the game: Action Low Price High Price Firm A Low Price 0,0 Firm B High Price -30,40 O…

A:

Q: Let T: R³-R² be a linear transformation. If it is known that Nuc(T) = CL is true? 25 a{(5.). (²5.)…

A: Let us consider the linear transformation T:V→W The Rank nullity theorem states that…

Q: okay can you also do part b now.

A:

Q: have the following theorem. THEOREM 4.3.2 The zeros of sinh zand cosh z are given, respectively, by…

A:

Q: solve #4 please, Show all of your work on pictures and explain each step you make. Thank you!

A:

Q: Find the distance between the point P = (-3,2,1) and the plane 3x-2y+z-6=0.

A: We know that the distance of the plane ax+by+cz+d=0 from the point x0,y0,z0 is…

Q: A possible solution to the differential equation ydy = xdx is A. x² - y² = 4 B. x² + y² = 4 C. y² =…

A:

Q: Consider the function f(x) = x²e5. f(x) has two inflection points at x = C and x = D with C < D…

A:

Q: System: x²=5-y² y+1=x² Solve the given system of non-linear equations using appropriate numerical…

A: The given system of equations are x2=5-y2 and y+1=x2. The objective is to solve the system.

Q: A man wants to set up 529 college savings account for his daughter . How much would he need to…

A: Given that a man wants to set up 529 college savings account for his daughter and the account in…

Q: Consider the Euclidean inner product space R³ with a basis B = {(1,1,1),(0,1,1),(0,0,1)}. 3

A:

Q: Classify the differential equation + x²y = xe*. dx .. partial differential equation 3. ordinary…

A:

Q: Suppose Vf(x, y) = 3y sin(xy)i + 3x sin(xy)], F = ▼ ƒ(x, y), and C is the segment of the parabola y…

A:

Q: 1 28

A: A fraction means a part from the whole. It is denoted as partWhole

Q: dy Solve the differential equation = : 3y. dx A. y = Ce ³x B. y² + 3y = C C. y² + 3x = C D. y = 3x +…

A:

Q: Consider the Euclidean inner product space B={(1,1,1),(0,1,1).(0,0,1)}. Find an orthonormal basis of…

A:

Q: 11. The basic unit of length in the metric system in the by alowercase Use the ruler and line below…

A: This is a question of counting and finite math.

Q: The radius of a sphere is 9 m with a possible error of 0.05 m. Use differentials to approximate the…

A: Error, in applied mathematics can be defined as the difference between a true value and an estimate,…

Q: 3. We have the following function == -2r² - 4x - + 4y + 4xy (a) Find the stationary point (b)…

A:

Q: Suppose you want to have $800,000 for retirement in 30 years. Your account earns 9% interest. How…

A: Given, Future value (FV) = $800,000 Rate of interest (r) = 9% Time (t) = 30 years n = 12 ( months)…

Q: Solve the one-dimensional Laplace equation for the equilibrium temperature distribution in a finite…

A:

Q: 17. Find the following. a. The first seven terms of the Fibonacci-like sequence with seeds 1, 2 b.…

A:

Q: The Euclidean inner product (2u-v, 3u +4v) 4v)=

A:

Q: 00 01 02 0 3 Consider the linear map fƒ : R³ → R³ with f(x, y, z) = (x−y, y-z, z-x). What is the…

A:

Q: 2 + y = u B) sin(x)y+iy' +3=0 C)sin(x)(y') + y = 0 D) sin(x) Find the general solution of y'+…

A:

Q: The best method to solve the differential equation A. exact B. homogenous r di dt 10t = 2 is C.…

A:

Q: 6.25 1+z6 as a power series. 2. Using your answer in 1, write In |1 + x| as a power series. 1. Write

A:

Q: 1 0 (¹²2₁) 1 1 of the matrix B x A? Let A = 00 01 02 03 O-1 O-2 O-3 and B = 2 1 (GD -1 0 1 What is…

A:

Q: The graph of a derivative f' (x) is shown in the figure below. 9 1 X 2 f (x) 3 Enter the exact…

A: