Use Euler’s explicit method to solve the ODE dy/dx= -1.4 + 8e^ -0.3x from x= 0 to x= 2.4 with the initial condition y= 4 at x=0. Use h= 0.4 .

Q: 1 6. Suppose A is a 3 x 5 matrix. Find a 3 x 3 matrix E, such that EA is the result of multiplying…

A: 6. Taking a 3×5 matrix A as                  A=a11a12a13a14a15a21a22a23a24a25a31a32a33a34a35

Q: y (4) + y" +y" = 0, where y(0) = y'(0) = y″(0) = 0, y″(0) = 1

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Q: Determine whether the following systems have unique solution, infinitely many solutions or no…

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Q: 1. In the Taylor series expansion of e* about x = 2, the coefficient of (x - 2)4 is (a) 24 (b) 4! 4!…

A: The Taylor series expansion of a function f(x) about the point x=a is…

Q: In formal symbolic logic, show that [P&∼P]⊃Q is a theorem.

A: This is a problem of Logic.

Q: 3.4.6 Evaluate the line integral [sin y dx + (x- cos y) dy] taken in the anticlockwise sense, where…

A: Green's Theorem States that  Let C be the positively oriented, smooth, and simple closed curve in a…

Q: 14. Give the general solution to the differential equation: d5y d'y d³y d²y - 3 dx5 dx4 +3 = 0 dx3…

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Q: 1. What is the order of the permutation (1 3 2 5 6) (23) (4 6 5 1 2)? a. 3 b. 6 C. 5 d. 10

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Q: 5 0-[4] 4) and C 4 4 -1 5 0 -1 3 For the following items, consider A = +-+* -[ B 1 2 3 -1 0 -2 2 1…

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Q: (3) Find the formula for the number of ways for putting n identical balls into k distinct boxes so…

A: Solution:-

Q: Find the line integral F.dr of the vector field F=ax] over a curve C defined by a C rectangle in the…

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Q: For the function i. ii. iii. Z Z 1 1 (1+z)(3+z)_2\1+z_3+z, the region |z| 3. find the Laurent series…

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Q: Determine y(t) 2. 18y" +27y" + 13y' + 2y = 0, where y(0) = y'(0) = 0, y" (0) = 1

A: To find the solution of the given differential equation :-

Q: what is the log trans formed. form of t

A: Given,         V=aPb

Q: 2. Let N (x) be the statement "x has visited North Dakot where the domain consists of the students…

A: There exists a student who has visited North Dakota

Q: Evaluate x+y JF dx dy x² + y² + a² over the portion of the first quadrant lying inside the circle x²…

A: Answer is given using polar coordinates.

Q: In how many different ways 'CORPORATION' be arranged? can the letters of the word

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Q: (B) let y 3sin5x - 2cos5x = show that y + 25y = 0

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Q: Let X = (6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 zc N₁ x + z = y), where…

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Q: Compute T₂(x) at x = 0.8 for y = e* and use a calculator to compute the error |eº – T₂(x)| at x =…

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Q: (a) Compute the Jacobi symbol (237), showing all working.

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Q: Question a) ( What is the equation for curvature for the curve y = sin(x)?

A: Equation of curvature of a curve y=f(x) k=f''x1+f'x232

Q: Find the orthogonal trajectories of the family of curves: Ellipses with centers at (0,0) and two…

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Q: Denote the Euler-method solution of the initial- value problem dx dt x(1) = 1.2 In x using step size…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

A: Region B is bounded by the Red Colour graph.

Q: to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt (B) Use Tabular integration

A: By using tabular integration , integrate the given problem...

Q: =2) Calculate & ydx + xz² dy - zy³ dz, where c is the circle x² + y² = 4, Z=3 (conterclockwise)…

A: We will use stokes theorem to find integral

Q: Find the value of X(0.3) for the initial-value problem dx dt = -xt, x(0)=1 using Euler's method with…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: Given: y=x3+2 To find: Area of the surface obtained by revolving the curve on the interval 1, 8…

Q: By using polar coordinates, evaluate the double integral -y²dx dy x² + y² over the region in the…

A: Answer is given using polar coordinates.

Q: H.W: Use the chain rule to find the derivative === with x = cos² t, y = sin² t, z = - at t = 3 dw xy…

A: Solution :

Q: Find the Half-range Sine series of f(x) = rsin(r) on (0,2).

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Q: 5-Given n+1 data pairs, a unique polynomial of degree.........passes through n +1 data point. a-n +1…

A: This question is based on the topic interpolation in Numerical Analysis.

Q: a. Consider the function f(x, y) = ex²-² 1 1 i. Sketch level curves f(x, y) = k for k = and 1 on the…

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Q: Evaluate: (2) A5₁ Clearly showing your working

A: We need to evaluate i. The meaning of a5(2) is the present value of an immediate annuity of an…

Q: Write a Riemann sum and then a definite integral representing the volume of the region, using the…

A: Note that the given cone can be obtained by rotating a line by the axis of the cone. Using slice…

Q: If v (x, y, z) = 6i-12j+7k find 1) Divergence of v. 2) curl of v.

A: v(x, y, z)=6i-12j+7k

Q: (B) let y = 3sin5x-2cos5x show that y + 25y = 0

A: Here we use basic differentiation to prove this

Q: 8. f(x, y) = (x³ + (y/2))²/3 10. f(x, y) = x/(x² + y²)

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Q: Sketch the domains of integration of the double integrals (a) Laxf dx xydy √(1+y) 0 R/2 (b) dy (cos…

A: Here, we need to sketch the domains of integration.

Q: 3.4.4 Sketch the domain of integration and evaluate 2x 1-x dy (a) dx (b) Laxf d.x 2 Xx² + y²² dx dy…

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Q: Your parents helped you buy a car. You were supposed to pay then back $2000 sixty days ago and $1800…

A: Solution:-

Q: all parts if quesion thanks

A: a. (i) Given,              ∫14x2+9dx

Q: (MATRICES) Solve the following problems as directed. Show complete solutions and box the final…

A: We can solve this using given information

Q: Brandon is on one side of a river that is 70 m wide and wants to reach a point 250 m downstream on…

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Q: Calculate the convolution (f+g)(x) of the following functions f(x) and g(x): 0 (x < 0) f(x) = = {²-²…

A: Convolution of two function f(x) and g(x) over infinite range can be given by  f*gx=∫-∞∞ft ×gx-tdt

Q: Problem 9. and cookies. A baker uses the same symmetric cookie cutter to make both cakes (a). When…

A: As per the question we are given a closed area (shaded portion on the graph), along with its…

Q: Problem 2. Short question (Please give short explanations for each part.) Compute ||2||2, ||||,and…

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Q: 7. Assume that there are only two age groups ("young" and "old"). Among Argentine immigrants in the…

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Q: Let X (6, 7, 8, 9) and let the relation R on X be given by R= {(x, y): 3 z e N₁ x + z = y}, where N…

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