there a way to check if the equation you find after applying the initial condition is correct?
Q: ӨР dt -10-(0²-81), 0(0) = 1000
A: dθdt=-10-6θ2-81Initial condition : θ0=1000
Q: 17. Given p(x,y,z) = xyz +5, find the surface integral of the normal component of grad o over x² +…
A: Given ϕx,y,z=xyz+5, We need to find surface integral grad ϕ over x2+y2+z2=9.
Q: f(y) - f(z) = [²√ 1 (² + 1 dt = So f(z+t(y-2)) dt = ₁ Df (z+t(y-2)) dt (y-2).
A:
Q: Draw a graph that coordinates with a person going for a jog. Use the following information to help…
A: Given that: The graph is obtained by using the different coordinates and then joining the…
Q: You and a companion are driving a twisty stretch of road in a car with a speedometer but no…
A: The given table is, The interval is 10 seconds. The time is 10 seconds given.Length is obtained by…
Q: Crystal, Incorporated, has prepared the following budgets for March. In March, budgeted production…
A:
Q: (2) Show that L[r²e²](s) = (s-1)³ ·
A: Laplace transform of f(x) is defined as below. L{f(x)} = 0∫∞ e-sx.f(x)dx
Q: Find the abscissa of the centroid of the area bounded by the parabola y = x^2 and the line y = 2x +…
A: x=∫∫R x.ρ(x,y) dA∫∫R ρ(x,y) dA , y=∫∫R y.ρ(x,y) dA∫∫R ρ(x,y) dA Centroid=( x ,y )
Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…
A:
Q: 7. For what value(s) of k will the function f(x) = kx² - 4x + k have no zeros?
A:
Q: Find the Laplace transform of the following function 1. f(t) = sin(2t) cos(2t) Show your complete…
A: The given function is, f(t)=sin(2t) cos2t. The Laplace transform is obtained : By converting the…
Q: a) Patty Stacey deposits $2000 at the end of each of 5 years in an IRA. If she leaves the money that…
A: Formula for the future value of an annuity: FV=Pmt(1+r)n-1r where FV is the future value, Pmt is the…
Q: Show that {1, cos(kx) | k ¤ N} is an orthogonal family on [0, π] with inner product (f,g) = f* f(x)…
A: Since first and second subparts are not interlinked so as per our guideline, we are supposed to…
Q: Enter only the final answer in the space provided. No workings. Consider the following system of…
A: We have to put augmented matrix in row echelon form by using gauss elimination method.
Q: Laplace Transforms Use the integral definition (and show all integration steps) to find £{te-t}
A:
Q: Given the plane in parametric form below, provide the cartesian form. x = s(1, -2,-2)+1(2,0,−1), s,…
A:
Q: Solve the equation Ax=b by using the LU factorization given for A. Also solve Ax=b by ordinary row…
A:
Q: The solution of the recurrence relation in the problem y"+y=0 about x = 0 (for k = 0, 1, 2, ...) is…
A:
Q: Given the limit. Use a sketch to show the meaning of the phrase “ 0 < ∣x − 2∣ < 0.25 implies…
A: 0<|x-2|<0.25 2-0.25<x<2, 2<x<2+0.25 1.75<x<2, 2<x<2.25…
Q: Solve the polynomial congruence: x² + 3x +2=0 (mod 55).
A: The given polynomial is x2 + 3x + 2 ≡ 0 (mod 55) => x2 + x + 2x + 2 ≡ 0 (mod 55)…
Q: Which matrices are in echelon form, reduced echelon and neither? 4 013 001 24 6 00 . 00 . (898). 13…
A: A Matrix is said to be in Echelon form if it has the following properties. (i)zero rows , if any,…
Q: Let f(x,y) = xsiny+ysinx+xy be given. In part (a)-(d), determine which partial derivatives the given…
A:
Q: Question 2. The space C[a, b] for any p≥ 1, define the following 1/p || / | = [/* \(-x) dx]¹/ f ||p=…
A:
Q: Given the second-order difference equation. Yt+2-7Yt+1 + 10Y₁ = 4t + 8t (1) Write down the auxiliary…
A:
Q: A function P(x) is given by the following table find f(3.2) by two different way from the following…
A: 1)By Newtons forward differnce interpolation formula…
Q: Find the Laplace transform of the following function 5. f(t) = [(t² + 4t + 2)e³t] Show your complete…
A:
Q: Find the volume in the first octant bounded by the surfaces x = 1 and x^2 = y + 2z.
A: A solid bounded by x=1 , x2=y+2z=0⇒z=x2-y2. To Find: We need to find the volume of the first octant…
Q: I7 Let C be the curve y = + 4 1.5 43 11 him 41 4 0.9 0.8 47 0.6 0.5 0.4 0.3 0.2 0.50.1 0.75 1 35x5…
A: Given: y=x74+135x5 We will first find y' and simplify 1+y'2 and then use the formula, L=∫ab1+y'2dx
Q: (t) = te²t sin(3t) Show your complete solution: Using the property Ltf(1) =-F'(s) with F(s)= |e² sin…
A:
Q: 5) Consider the following statements: I: If two triangles are congruent, then they have equal…
A: Here are the given statements, If two triangles are congruent, then they have equal defect. If…
Q: Let us build a geometry, S, using the three axioms of incidence geometry with one additional axiom…
A: The elliptic parallel property is true in S.…
Q: A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20…
A: Mix A Mix B Minimum requirement Phosphoric acid 20 10 500 Nitrogen 30 30 990 Potash 5 10…
Q: Let A = 1 -2 -1 -5 -2 5 -2 -2 2 a) Is matrix A diagonalizable? P b) If A is diagonalizable, find an…
A:
Q: 5. a) What is the orthogonal projection ŷ, of y = 1 = ( ² ) U = and the origin? -3 9 onto the line…
A:
Q: b) The rectangles in the graph below illustrate a ? [4, 8]. The value of this Riemann sum is and…
A:
Q: The rabbit population at the city park increases by 3% per year. If there are intially 328 rabbits…
A:
Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…
A:
Q: Solve the given system of equations. 00 || V= -6v-3w=9 |-6v-5w = -5
A:
Q: MY NOTES The data in the following table show the amount of water in milliliters a professional…
A: a) We have to find linear model using given data. b) We have to estimate the required by linear…
Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below.…
A: The given differential equation is: y''-5y'+6y=4te2t, y0=3, y'0=-2. To Do: We have to solve for Ys.
Q: n Problems 1 solve the heat equation (1) subject to the iven conditions. Assume a rod of length L.…
A:
Q: Solve the given differential equation by separation of variables. dS dr = KS
A:
Q: K Prehistoric cave paintings were discovered in a cave in France. The paint contained 23% of the…
A: I have explained everything with in the solution. Please go through that.
Q: A country's population is 2001 and 2012 are given below. Use this information and the exponential…
A: We have to given exponential model A=P(1+r)n for country's population during period 2001 and 2012.…
Q: (c) If the series n=1 an is convergent, then n=1 Final Answer This claim is TRUE 1 sin(an+2) is…
A: Given , Series ∑n=1∞an is convergent . (.) p - series test : - Series ∑n=1∞ 1np is convergent if…
Q: Complete the table by finding the balance A when P dollars is invested at rate r for t years and…
A:
Q: Calculate the volume of the area that lies above the xy-plane and below the graph: z=1-x² 16 y² 2 P…
A:
Q: Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in…
A:
Q: Let f(r) be a polynomial of degree n > 0 in a polynomial ring K[r] a field K. Prove that any element…
A:
Q: 2) Let g(x) = x + 1 sin ( 2 ) be giver on [0₁2]. has at least one fixed point. a) Show that дох) b)…
A:
is there a way to check if the equation you find after applying the initial condition is correct?
Step by step
Solved in 3 steps
