C:1: Solve the following I.V.P. using Laplace transformation: y" - 2y - 5y = 5t-100 such that: y (2)=-4, y (2) = 14

Q: Find the transition matrix from B to B'. B = {(0, -1, -2), (0, 4, 1), (1, 3, -3)}, B' = {(1, 0, 0),…

A: We find transition matrix B to B'.

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)²=2y, the…

A: Find the slope of the tangent to the curve x2+y2=25 at (3,4). 2x+2ydydx3,4=0dydx3,4=-xydydx3,4=-34

Q: Consider the differential equation dy = ay - b. dt Find the equilibrium solution ye(t). Ye(t) = |

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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: 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: 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: The volume of the solid generated by revolving the region bounded by 1y and y? 04 01 02 0 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 to…

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Q: Which of the following is true for the integral A. In 5-In(-2) B. In 5-In 2 C. -In 5 + In 2 D. In 5…

A: Sometimes, the integrand of a definite integral is undefined at any of the two limits or at a point…

Q: 5. Solve the DE dy d²y xdx² dx - 4x = 0, 1<x<2 with y(1) = y(2) = 0. a) Using weak form and Galerkin…

A: Let us start solving the problem step by step    For the given DE we will start solving by the…

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: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5) 2=2y, the…

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Q: Let p and q be the propositions: p: The election is decided q: The votes have been counted Express…

A: P: the election is decided q: The votes have been counted p↔q represents if and only if

Q: Se²x+lnx² sin x² dx = +fe²x co 2x cos x² dx

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Q: Consider the division of two polynomials: f(x)=(x-c). The result of the synthetic division process…

A: Part (a) We have the coefficients of the dividend are 1  -2   -13   -1  -48 So, the dividend is:…

Q: Y[n] = 2x[n] x5 b[n] where X[n] = [o. v. 2 1 40.5] and h[n] = [-0.2 3 4 -3] the mean convolution.…

A: a) As per the question we are given a discrete input signal : x[n] = [0.1  2  1  4  0.5] And the…

Q: Which of the following refers to backward - difference formula? Why? You can give your own example…

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Q: O (-2)² (-3)4 123 +123 O 418 O216 x 215 O 317 x 417 O 1217 +1217 Submit

A: An expression is a factor 1217 if it is a multiple of 1217. Lets check each answers individually

Q: 2. Construct the interpolating polynomial of degree 4 using divided difference for the data given…

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Q: It will be really helpful u can provide detailed solutions...  Like show all working

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Q: Example 9.10. Solve y2 - 4y = n² + n - 1.

A: Please find step by step answer below:

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

A: Follow the steps.

Q: 10. An irreducible polynomial f(x) over a field of characteristic p> SECA ELM

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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: Example 8.25. Evaluate x + 2x + 1 Jo 1+ (x + 1)². dx by Gaussian 3-point formula.

A: Gaussian 3-point formula. variable change x=a+b2+b−a2v if ∫abg(x) dx=b-a2∫-11g(a+b2+b-a2v)…

Q: Evaluate: (7-j3)ln(cosh(2+j5))

A: Given (7-3i)lncosh(2+5i) Since cosh(x+iy)=cosh(-y)cosx+isinh(-y)sinx So…

Q: Consider the following ODE y' = y+t/y+1 Which kind of ODE is ?

A: Given ODE is y'=y+ty+1. Simplify y'=y+ty+1. ⇒dydt=y+ty+1⇒y+1dydt=y+t⇒y+1dydt−y=t..........1 Since,…

Q: A space vehicle flies into a gravitational force field F(x, y, z)=-y(b²2² + a²y²)i + (b²r² + a²y)j…

A: The work done by a force field is equal to the dot product of the force field and the displacement…

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: A={1, x, x²} and A'= *-·A·D· Let Z: P₂ → R³ be the linear transformation given: a + 2b + c…

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Q: 3.) x + y + z = 6 y + 3z = 11 x - 2y + z = 0

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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: 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: C. Identify each angle without actual measuring 2. 5. 4. 7 A four pairs 3 point c Analyze an L The…

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Q: x-1) 1/6(x+2) 16/3- (x+1) 1/2 x-1) 1/6(x+2) 16/3 (x+1) 1/2 x-1) 1/6(x+2) 16/3 + +

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Q: 2 Example 10.8. Using Euler's method, find an approximate value of y corresponding to x= 1, given…

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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…

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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: 2y"-3y"- 3y + 2y = (e*+ex)²

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Q: A family has two cars. The first car has a fuel efficiency of 25 miles per gallon of gas and the…

A: Given that there are two cars. First car has fuel efficiency of 25 miles per gallon of gas. Second…

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

A: h(x)=(x+3)(x-2)(x-2)funtion is not defines for x=2 ,and for x≠2 h(x)=(x+3) which is a linear…

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: y dy Find using the substitution +5= √√y+2. √x+2 A²/(√y+2-5)(-5√/y+2+y+21) +C 3 ® ²/(√y+2-5)…

A: ∫ydyy+2 Substitute, u+5=y+2 Then , du=12y+2dy ⇒2y+2 du =dy ⇒2u+5 du =dy and y=u+52-2=u2+10u+23

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: | Example 8.11. Evaluate the integral the error with the exact value. dx using Simpson's 1/3rd rule.…

A: Please find step by step solution below

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: Let K be a field estension of a field F and let a1, a2,.....an be elements in K which are algebric…

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Q: Let the total population size at time t be denoted by N(t). We divide the population N(t) into four…

A: As per the question we are given a population model through a system of dynamic equations relating…

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: Let F CK CL be three fields. If L is an algebric extension of K and if K is an algebric extension of…

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