solve this equation dy -= 4 e0.8t - 0.5 y dt where y (0) = 2 and h = 1 using fourth order Runge Kutte Method for t = 2, 3, 4. and then find the error in each value using exact solution 4 (e0.8t el-0.5 t))+2 el-0.5 t) 1.3 EXACT SOLUTION : y = -

Q: (a) / Use the Shell Method to find the volume of the solid generated by revolving the region bounded…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: x² e¹7x dx l 2 [x²e

A:

Q: Solve the given linear programming problem using the table method Maximize P=7x₁ +6x₂ subject to:…

A: Given LPP is max P=7x1+6x2subject to:3x1+x2≤21x1+x2≤10x1+2x2≤12x1,x2≥0 Now using slack  variable max…

Q: Y=

A: Given equation : y=cos2xx2+Y2-x=2

Q: 6. A golf ball is hit from the top of a cliff and lands on the green located the bottom of the…

A: Given: A Golf ball is hit from the top of a cliff, The path of the height of the ball is modeled by…

Q: The graph of f(x) is shown (see figure). 7x² x² +9 f(x) = = (a) Find the following limit. L = lim…

A:

Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤y≤16, 0≤z≤ with √√y density…

A:

Q: Find the value of the line integral foF dr without using Green's Theorem, where F(x, y) = (x + y)i +…

A:

Q: Find the solution of the differential equation dy dx x+1 (x ≥ 0, y > 0) Y subject to the initial…

A: given differential equation dydx=x+1y    x≥0, y>0 subject to initial condition y(0)=2

Q: sent that by a positiv ntity N(0) is 2.

A: Given as, dNdt=?N0=?

Q: 3- solve the following system of linear equations using Gaussian elimination approach (backward…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: (1-3) (x+y) - 4 Find حرقیم CR لا لا للمعاد لك - 031- ans:- X 1

A: You posted multiple questions. As per our policies solving first question.

Q: Find the maximum value of integral over a simple closed curve in a plane oriented counterclockwise…

A: Given,             F→=9xy2i^+4z-9xy2j^+5y-3x2yk^ and C is a simple closed curve in the plane…

Q: 5. Find the equation of the hyperbola with vertices at (3, 3) and (-13, 3), and passes through the…

A: Equation for a horizontal hyperbola: (x-h)^2/a^2-(y-k)^2/b^2=1 with  center: (h,k) vertices:…

Q: (A): Solve the following linear equations by Crame x +y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: given linear system x+y+2z=12x-y-z=0x+2y-z=4 matrix form 1122-1-112-1xyz=104

Q: A swimming pool is 8 meters long, 6 meters wide, and 2 meters deep. The water- resistant paint…

A: Introduction: When a rectangle has a height along with its length and breadth, it becomes a…

Q: The budget for a project on voting trends includes $3400 for hiring undergraduate students, graduate…

A: Let x be the number of undergraduate students and y be the number of graduate students and z be the…

Q: o find the smallest positive root of tan x-x=0 which of the following re-arrangemen propriate? e the…

A:

Q: Volume of the function g(x, y)=√64-x²-y² over the semicircle bounded by x² + y² ≤ 64, x≥0. 2-

A:

Q: 2 0 f(x)=√4-x 2 4 6 - Suppose that the region bounded by f(x), the x - axis and the y axis is to…

A: The given region is   To find: the formula to find the volume of revolution.

Q: gh school's student council wants to purchase spirit shirts for its upcoming homecoming event.…

A:

Q: y!!(t) — 10y(t) + 9y¹(t) — 90y sec(3t) =

A:

Q: 3. F. da. Donde, F(x, y, z) = (y² - 2², 2² — x², x² - y²) y C es la inter- sección de [0, 1]³…

A:

Q: Let P2 be the vector space of all polynomials of degree ≤ 2 with coefficients in R, and S= {1 + 2x,…

A: The basis for the vector space P2 is 1, x, x2. We have to write the matrix form for the set S. We…

Q: the following system of linear equations using Gaussian elimination approach (backwa tion). 1 3 3 -1…

A: Since  you have posted a multi subparts question according to guildlines I will solve first(1,2,3)…

Q: You receive a pay raise of 8%, followed by a pay cut of 8% is it true that after the two changes in…

A: Let us take our initial salary as $1000.

Q: In exercises 17 to 18. Use the data in the table and by inductive reasoning , answer the following…

A: Introduction: The linear function is nothing but a one degree polynomial function. The rate of…

Q: Let z = exsec y Find d²z dxdy and d²z dydx

A: .

Q: Use the model for projectile motion, assuming there is no air resistance and g - 32 feet per second…

A:

Q: (3) 24

A: # As per the guidelines we are entitled to solve one question at a time. The indices of first two…

Q: 3 where do the curve of y = cosx and y = x³ -1 intersect?

A:

Q: Find the solution of the given initial value problem. y(4) - 8y" + 16y" = 0; y(1) = 10 + e¹, y'(1) =…

A:

Q: The multiplicative inverse of x² + x in Z₂ [x]/ is: Ο Ο Ο Ο O x+1 None X^4 X^3

A: We know that ,  ℤ2x/x3 + x + 1 = fx +x3 + x + 1 / fx∈ ℤ2x We need to find multiplicative Inverse of…

Q: Solve the system by graphing. 5x-2y = 20 10x - 4y = -40 Use the graphing tool to graph the system.…

A: The given system of equation is as follows 5x-2y=2010x-4y=-40 Plot the first equation on graph  Make…

Q: Let g=yf(xy). Show that: - дд у ду дд - Х = g дх -

A:

Q: 3. Consider the optimization problem z* = min f(x) = x₁ + x² + x² x1 + x₂ 21 Formulate the Lagrange…

A:

Q: Calculate the distance between the two variables given below using the most common method of…

A: Given that: S.No. Variable-1 Variable-2 1 21 82 2 31 46 3 91 42 4 80 53 5 30 15 6 80…

Q: Solution by Diagonalization: In Problem below, find the general solution of the given system. X'

A:

Q: Solve the heat equation u = 12u, 'XX' u(x,0)=(x-8). 8 ○ Au(x, t) = 2/7/7 | e-120²₁ sin[(x-8)]d w. 2A…

A: Introduction: The heat equation is a very important partial differential equation. The method of…

Q: 40. The cubic x³ - 2x² - x + 1 has three real roots; one is negative. a. Find a rearrangement that…

A:

Q: 72 n²+1 7. Given a series En=1(-1)"-1 a. Determine whether the series absolutely converges or not.…

A:

Q: 1. Let S = {a, b, c), and let be the binary operation on S defined by the following table: 98 ★ a b…

A:

Q: Now compute the roots of the following equations: 1. f(x)=x²-cos(x) 2. f(x)=x-e* 3. f(x)=x²-12x³ +…

A: Note:- Equation (1) and (2) have trigonometric term so either we can solve this problem using…

Q: Find the volume V of the solid below the paraboloid z = 4-x² - y² and above the following region. R=…

A:

Q: Suppose you make deposits into an investment account. These deposits occur in a sequence that are…

A:

Q: 1. Let A = (a)nxn be symmetric and positive definite. Show that a) a>0, i=1,2,..., n. 1 b) |a₁|< (a,…

A:

Q: 5. Determine whether the series converges or diverges. b. Σ... (1+2n)" a ΤΟ n=1

A:

Q: Suppose, and no are the smallest of two positive integers so that 300x is a perfect square and 300y…

A: The given problem is to find the values of x and y and sum of value of x+y for which smallest…

Q: What is the equation of the asymptotes of the hyperbola defined by x²- - 4y² 4y + 4x + 40y - 920

A: There are two asymptotes of a hyperbola. The hyperbola touches its asymptotes at infinity.

Q: Integrate f (x,y,₁/2) = 2² +12y +7 over the cuna 7 (t) = (²1 +31²) + (1², 1st sz - 6+² try to sketch…

A: