Example 8.13. Use Simpson's 1/3rd rule to find dx by taking seven ordinates.

Q: Q2: Use the shell method to find the volumes of the solids generated by revolving the regions about…

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Q: 2. y" - y = x, y(0) = 1, y'(0) = −2, h = 0.1 from x = 0 to 1.

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Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: We have to Find the hydrostatic force on one end of the trough.

Q: The following data define the sea-level concentration of dissolved oxygen for fresh water as a…

A: (a) Find the Newton's forward difference table.

Q: Which first order DE is variable separable? dy dx =y²cosx-y²sinx = 1 + xy =ycosx-xsiny =(x-y)² dy dx…

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Q: Txample 8.9. Find the maximum and minimum value of y from the following data : =2 0 1 2 4 2 - 0.25 0…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y = 4 is…

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Q: [x√1 + x² dx Find the integration in the Simpsons method when n=3 Then compare the integral with the…

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Q: the volume of the solid in the first octant bounded by using z = 1+x² + y² and z = 4 using…

A: The volume is the amount of space occupied by the closed surface. It is measured in terms of the…

Q: 1. Find all solutions to the system of congruence. (Use CRT) x = 1 (mod 2) x = 2 (mod 3) x = 3 (mod…

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Q: The region E between the paraboloid z = 1 - 2² - y² and the plane z = 0 is shown in the 3D model…

A: We will use cylindrical co ordinate system to find volume

Q: the volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: If K is a finite field extension of a field F and L is a finite field extension of K. then L is a…

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Q: 1. Which of the following has an asymptote and which has a hole? Why? (Hint: Use desmos and look at…

A: We will use condition for hole and asymptotes to find which function have hole and which have…

Q: Let (₹1, ₹2, ₹3, ₹4, 25, 26} be the standard basis in Rº. Find the length of the vector x = -22₁ +…

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Q: Exercise 4. Show that the function f is not differentiable at (0,0) f(x, y) = x³ + y³

A: We have given that ,  fx , y = x3 + y33 Here , ∂f∂x = 3x23x3 + y323 ∂f∂x = x2x3 + y323 At , x , y =…

Q: spac (a- Open and not closed, b- closed and not open, c- open and closed, d- Not open and not…

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Q: Evaluate the following definite Integrals by using Gamma or Beta Functions: 5 (a) [√4x In (V√x)] idx…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: 1. Verify that y = e²x + 3xe²x is a solution of the ODE y" - 4y + 4y = 0. (Show all work when…

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Q: 5 6. (s+3)² 7. 3 s2-32 8. L{f(t)}: 3s²-1 s²+8+1

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Q: Use secant method to find the root of x^3 –x^2 – 3x – 3 with two initial points xa=3 and xb=2 and ∈=…

A: Ffind the root of equation using secant method

Q: Example 10.17. Apply Runge-Kutta method to find approximate value of y for x = 0.2 in steps of 0.1,.…

A: Probem is solved using runge kutta method.

Q: Let F be a field, and let f(x) be a nonzero polynomial in F [x]. Then splitting field of f(x) is an…

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Q: 0 9. f(t)=t-n 0 if t 2π

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Q: 2: Find the first 4 terms of the Taylor series for: f(x)=sin лx near a=0.5

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Q: I'h[f(xo) + f(xi) hip. + fino T p1- 호 Fer

A: We derive the trapezoidal rule for approximating                               ∫abf(x)dx

Q: dy Example 10.24. If dx mula by calculating y(1), y(2) and y(3) using Euler's modified formula. = 2e…

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Q: Exercises To Solve [No.5] Lim 9-5 -4 S= a dx -x²-8x-15 of Los x Sinx+25inx+5 ka

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Q: Example 10.5. Employ Taylor's method to obtain approximate value of y at x = 0.2 fc the differential…

A: Problem can be solved using taylor's method.

Q: Question 17 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: To find the inner radius of the circular ring.

Q: Sketch the region of integration and set up iterated integrals for both type I and type II orders of…

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Q: Given two functions, what can be said of the continuity of their sum? Their product? Their quotient?…

A: Let f and g are continuous function on I ( subset of real number)  ,then i) f + g is also continous…

Q: 6. 7. 5 (s+3)² 3 s2-32

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Q: 3. Make drawings on a separate page to show your calculation a. I have R249.50. Tickets cost R10,00…

A: # as per the guidelines we are entitled to solve one question(maximum three subparts) at a time,…

Q: ▪ Solve the following SLEs in a clean sheet of paper (preferably bond paper). ▪ Show a complete,…

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Q: The linear transformation Z: M2x2 (R)→ M2x2 (R) satisfies z = [₁₁3] ² [²D=[²₁²] ² D=[¹² 1. Solve for…

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Q: 2. Determining whether odd or even function, state the period. a.) b.) .

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Q: 1. Which of the following has an asymptote and which has a hole? Why? (Hint: Use desmos and look at…

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Q: By using the method of least squares, find the best line through the points: (2,-3), (-2,0), (1,-1).…

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Q: This figure IS drawn to scale. If the radius of the circle is given by the expression (2x-4), what…

A: The very first task is to find the radius of the circle.

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: We will use integral to find force on trough . 1st will find force on a horizontal slice of trough…

Q: A Norman window is in the shape of a rectangle surmounted by a semi-circle.

A: We have to solve given problems:

Q: Let F be a field and let f(x) be an irreducible polynomial in F[x]. Then f (x) has a multiple root…

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Q: c-4546-4311-8422-60296621821 ny values in the data set are between 5.5 and 7.5?

A: In given histogram Values 5.5 to 6.5 Frequency is 3 And values 6.5 to 7.5 Frequency is 3

Q: Using an appropriate triple integral, evaluate the volume of: [Verify using Mathematica] . ii).…

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Q: x1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: u= 4u -du 4-4² S-…

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Q: Example 10.25. Solve the initial value problem dy/dx=x-y², y(0) = 1 to find y(0.4) by Adam's method.…

A: We will use runge-kutta 4th order method to solve given problem.

Q: Let S be the solid inside the sphere p = 6cos and below the cone Ø = π/4 Set-up the iterated triple…

A: We have to Set-up the iterated triple integral representing the volume S using Cartesian…

Q: 9.M.3 A 2 × 2 matrix A is symmetric, and has eigenvalues 3 and -2. A 3-eigenvector is [3]. 5 Find A.…

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