A 10-year-old child received an inheritance of $6000 per year. This was to be invested and allowed to accumulate until the child reached 21 years of age. The first payment was made on the child's 10th birthday and the last on the 21st birthday. If the money was invested at 4.7% compounded annually, what did the child receive at age 21? (Round your final answer to two decimal places.) $

Q: Given that cos(8√t) √nt find the Laplace transform of√√cos (8√t). {√² cos(8√7)} = 0 = e-16/s √s

A:

Q: Find inverse relation of f(x)= 4x^2 -8x+11

A:

Q: Use a power series to solve 2y" — y = 0, - Find the radius of convergence. y(0) = 4, y'(0) = -9.

A:

Q: Question 12 Use a power series to solve 2y" - y = 0, Find the radius of convergence. y(0) = 4, y'(0)…

A:

Q: 65 7 4 8 9 10 12, 11 13 14 171 15 16

A: The UCS origin (0, 0), which is the point where the X and Y axes meet, serves as the starting point…

Q: Question 2. Find the largest interval of existence and uniqueness of solution for the IVP 1 tx" +…

A:

Q: Find the number c that satisfes the conclusion of the Mean Value Theorem on the function f(x) = x³…

A: Given f(x)=x^3 on [0,4] Here we have to apply the Lagrange's mean value theorem to find the c value.

Q: Question 4. Apply the reduction of order method to find the general solution of tx" − (2+t)x' + 2x =…

A:

Q: (Growth and Decay) A culture initially has No number of bacteria. At t = 1 hour the number of…

A:

Q: 1 {}} = [ S8 L-1

A: Given function is 1s9

Q: Find all solutions to the equation below in the interval [0, 2π). Give all answers as decimals…

A:

Q: Determine

A: We use definition of linearly independent set.

Q: Find a subset of the vectors that forms a basis for the space spanned by the vectors, then express…

A:

Q: Question 5 Calculate _{te® sinh(4t)}

A:

Q: Q3:a\ Solve, the following 1st-order linear initial value problem differential equations, using the…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: The solution of the system X 42 -(-438)x; X(0)-(1) is Select the correct answer. O a. -2 *x-[(²)…

A:

Q: F(s) = 1 T√5(S + 5.5)5.5

A: Inverse Laplace transform

Q: F (s) = (32 2 s)(2s 1)(3s + 2)

A:

Q: 59. Solve for the slope of the line at any point on the circle x² + y² = 25 a. y = x/y b. y'=y/x Cy'…

A:

Q: Find the coordinates of the centroid of the region bounded by y=10x² and y=2x². The region is…

A:

Q: Find the area bounded by y² = 4a(y-x), y² = 2a(x+2y-3a) and the x-axis

A:

Q: 10. A farmer in Wood County has 900 acres of land. She is going to plant each acre with corn,…

A:

Q: Q4/A/ The mechanical system consists of two bodies of mass 1 on three springs of the same spring…

A: Given: Let us consider the given ODE, y1ιι=-ky1+ky2-y1y2ιι=-ky2-y1-ky2 and the initial conditions,…

Q: Use the Divergence Theorem to evaluate [/F. F. NdS and find the outward flux of F through the…

A: We will use divergence theorem  For a  simple solid region E bounded by surface S  with positive…

Q: Let A = {h,1,o}, B = {7,8), C = {7}. AXBXC = { CXBXA = { BXBXB={

A:

Q: Question 9 Solve the initial-value problem y" - y = tet

A: Given differential equation is y'''−y'=tet. Solve the given differential equation. Write the…

Q: This was not the correct quadratic model for data

A: Sol:- Consider   at 9 Am , t= 0  The equation is y=a+bx+cx2 and the normal equations are…

Q: Maximize Subject to · P= 30x +4082 2x₁+x₂ ≤ 30 X₁ + X₂ ≤21 *₁+2x₂ ≤ 36 X₁ X₂ 20

A:

Q: ! Let D the region bounded below by the cone z = √3x² + 3y2 and above by the paraboloid z = 4-x² -…

A: The given problem is to find the z limits for the integration to find the volume of the solid D…

Q: Show that for any x, y E R2 we have doo (x,y) ≤ d₂(x, y) ≤ d₁(x, y). Under what conditions on x and…

A: We have to show that for any (x, y)∈ℝ2 ,  d∞(x, y)≤d2(x, y)≤d1(x, y) And under what conditions,…

Q: please explain step by step why 1/2 is the answer

A:

Q: 2y-3a) and the x-axis 2. Find the area enclosed by r = a cos 30 II YOLUMES OF REVOLUTION

A:

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: We use definition of Laplace Transform.

Q: Solve the partial differential equation a²u 1 0²u = ox² c² dt² u(0, t) = u(1, t)=0 u(x,0)=1 and…

A: Given :                ∂2u∂x2=1c2∂2u∂t2     u 0 ,t  =u 1 ,t  =0         u x ,0  =1  and ∂ux , 0∂t=x…

Q: (x, y) = x¹ 3 1 0 120 001 y, x, y = R³

A: The function <x,y> will be inner product if  1) Non negetivity: <x,x> ≥ 0, for all x and…

Q: Question 10 Use Gaussian Quadrature of order 5 to approximate 2 6 4 x-1 To how many decimal places…

A:

Q: IV. View S as a surface of revolution. Find an equation of a generating curve on the xy-plane which,…

A:

Q: Question 5. Find the solution of t²x" tx' - 3x = 0 when x(1) = 0, x′(1) = 1

A:

Q: 1. Fourier coefficients shall be determined by numerical methods when the values of the F(t)…

A: Numerical methods for a function can be used when function are available in discrete values of t.

Q: Let A be the set of all constant sequences in R^N. Prove that A is a closed set relative to the box…

A:

Q: 5. If  Z ~ N(0,1) with  P(Z < a) = 0.7 and P(Z < b) = 0.8122. a. Find P(a <Z < b) b. Find the…

A:

Q: Graph to the image below and find the volume of the area bounded by y = (x^2 - 4)^2 and the x-axis,…

A:

Q: What is the equat here? y=3+3* Oy=3·2x Oy=2·3x 2, 6X

A: We want to find the equation of given graph.

Q: 3. Solve the following problems: 1. Find the area of the figure shown using: 12.22 11.32 8.82…

A: The integrals in the form ∫abfxdx represent the area between the curve y=fx and x-axis from x=a to…

Q: Here, g(x, y) = z = 9x(x, y) = gy(x, y) = + y2. Find the partial derivatives gx(x, y) and gy(x, y).…

A: Given function is g(x, y) = x2 + y2

Q: (i) morphisms 3. State what it means for a sequence of left R-module M N P Q to be "exact". (ii) Let…

A: 3) (i) To Explain: The meaning of exact sequence. (ii) The given sequence ℤ2→fℤ2→gℤ→00 where,…

Q: Find the eigenvalues and eigenvectors of the given matrix. - - 30 6 [4] 5 -1 The eigenvalue(s)…

A:

Q: Using the traces obtained in IV.1., provide a hand-drawn sketch of S3. Label all important points…

A: The equation of the surface given is as follows: 4x2-9y2=9z2+4 (3) The graph of the traces obtained…

Q: 3. Given set A-{1,2,3,4,5) and let R and S be a binary relation on set A. R= {(a,b) e AxA | bla} and…

A:

Q: H3. Show that the convolution of class functions is a class function.

A: We have to show that,  The convolution of class functions is a class functions. Therefore,  by the…