13. y=√√x-1, x = 5, y = 0; about x = 5

Q: Consider the linear transformation T: M₂x2 (R) → M2x2 (R) satisfying 2 1 T = T = T = (9)-3CD-303-3…

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Q: 2y"-3y"- 3y + 2y = (e*+ex)²

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Q: Arithmetic between 30 and 75

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A: The tank of diameter 4m is half of water Water density ρ=9800 N/m3 Radius R=D2=42=2m ∵  work =F×…

Q: 6. 7. 5 (s+3)² 3 s2-32

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Q: Maximise 1170x1 + 1110x2 Subject to: 9x1 + 5x2 ≥ 500 7x1 + 9x2 ≥ 300 5x1 + 3x2 ≤ 1500 7x1 + 9x2 ≤…

A: Graph all the inequalities using a tool.

Q: 5) Suppose that f(0.75) = f(0.25) = ß if the composite trapezoidal rule with n=2 gives the value 4…

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Q: 1.4 Compute the value of ₂ (sin x − log x+.e* ) dx using Simpson's th rule. 8 0.2

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Q: 1. Evaluate the iterated integrals a) Ans: p²sing dpdedo 97 √√3 2 2 b) ² sing dpdøde Ans: 14/3 T

A: The solution is given as

Q: Consider the equation ad-2y = 0, y(0) = a. Let I = (-1,1). Which statement below is NOT true? (A)…

A: Solution : Given , xdydx-2y=0 y(0)=α I=(-1,1) Solving the equation: xdydx-2y=0 ⇒dydx=2yx ⇒dy2y=dxx…

Q: 1) 2-log₂ y = 2log₂ (x+y) log₂ (x+y)+ log₂ (x² − xy + y²)=1

A: We have to solve given problems:

Q: Prove 10^47+67 is not a prime(use Fermat's). Thank you :)

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Q: a. Find whether the following graph is Euler Graph or not. If it's an Euler Graph then find out…

A: We need to determine whether the given graph is Eulerian or not. We know that , a connected graph G…

Q: Craig, Daniel and Edward shared an amount of money. Craig took 1/3 of the total amount of money.…

A: Let x be some number  1n of the number means 1n x Twice of the number is 2x

Q: 2°) Write the volume integral of the solid bounded by 2 = √ x² + y²² and 2= √√2-x²-y²¹, in a)…

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Q: Let f(x) = STA 0, if if xe Q or x = 0 m x = in lowest term' n . Compute for ff.

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Q: Example 10.23. Given dx = 1.979, evaluate y(1.4) by Adams-Bashforth method. = x²(1 + y) and y(1) =…

A: Problem is solved using Adams-Bashforth Method.

Q: x100 why lim- X-400100

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Q: Rearrange lim x* so that we can apply L'hopital's rule. *→0+

A: Follow the steps.

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: In Problems 17-20, expand f(z) = annular domain 0 <z - 2 <3 N (z + 1)(z-2) in a Laurent series valid…

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Q: d plans to increase output eks 1; 5; 10; 15. Estimate t

A: Here company A increase its production by 200 each week and company B increase its production by…

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: Example 11.1. Classify the following equations : au a²u d²u du (i) +4 0x2 +4 Əxdy 2 ông Ôx ди +2- =…

A: Given the second order partial derivatives; ∂2u∂x2+4∂2u∂x∂y+4∂2u∂y2-∂u∂x+2∂u∂y=0…

Q: Example 10.21. Given y'= x(x² + y²) ex, y(0) = 1, find y at x = 0.1, 0.2 and 0.3 bv Taylor's series…

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Q: Express all answers as decimals rounded to 3 decimal places, if needed. Express percentages decimals…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: find the solution of the expression y(x) with the power Series in x=0?

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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…

A: Solution

Q: @ For the following power series expansion, Test . and find the radive of convergence the end point…

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Q: in extension of a fie elements in K which ver F from a subfie

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Q: 2) Let R= {(1,2), (3,4), (1,x)) in order to this relation NOT be a function x must be equal ? a) 1…

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Q: The simultaneous linear equations 2y + (m − 1) x = 2 and my + 3x = k have infinitely many solutions…

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Q: Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point…

A: Find the vectors u and v whose initial and terminal points are given.        Initial Point  Terminal…

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

A: We have to solve given problems:

Q: Give an example of a differentiable function g: R→ R such that f is strictly increasing on R but g'…

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Q: Let K be a field extension of a field F and let alpha in K. where a neo and a is algebric over F.…

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Q: Example 10.1. Using Picard's process of successive approximations, obtain a solution upto the fifth…

A: we need to solve this problem using picard's method.

Q: x+4v-2z+

A: find the value of x,y,z using three equations

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

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Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

A: Solution:

Q: Find general solutions 17. y" - 4y = -12r² +6x-4; 18. y"+y+y = -13 sin(2x); 19. yy=e+xz; 20. y" - 4y…

A: 19)  We have given a differential equation ,  y'' - y = ex + x First we will find complementary…

Q: There are three numbers in geometric progression whose sum is 26. If the first is increased by 2,…

A: The arithmetic and geometric progressions are two important rule that terms of a sequence follow to…

Q: A spring with a 2-kg mass and a damping constant 8 can be held stretched 1 meters beyond its natural…

A: To find the position of the mass after t seconds.

Q: Consider the equation du 2y = 0, y(0) = a. Let I = (-1, 1). Which statement below is NOT true? (A)…

A: First we can solve using separable method

Q: Given that A and B is a group. Find out if : A→B is a homomorphism. If it is a homomorphism, also…

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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: Given   Liquid density=9000 N/m3. Equilateral triangle with side 2m. Consider a equilateral triangle…

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: 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: Example 10.13. Using Euler's modified method, obtain a solution of the equation dyldx = x + √√y, e…

A: Here we need to use Euler's Modified Method.