Q6: The values (a, b,c, d,e) in the divided difference table are: F, F F, x f O b 11 2 26 7 32 a 58 d. 4 112 A) (3, 5, 52, 10, 1) B) (3, 4, 54, 12, 2) C) (3, 4, 54, 11, 1) D) (3, 4, 50, 11, 2)

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A: We will find the limit. 

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Q: Evaluate the contour integral sin(z) dz. 기리=2 (z- ㅠ)2

A: We have to find 

Q: 3) If the bisection method is used to solve the equation 3x? = e* in [3.5 ,4] then the value of cz i...

A: The given function is  3x2=ex  [3.5, 4]

Q: Question 1. Suppose that / is a funetion whose domain is R and satisties the following properties: •...

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A: Please see the answer below.

Q: for partial derivative symbol, use the letter d. given: (siny - ysinx) dx + (cosx +xcosy) dy = 0 fin...

A: Given differential equation is siny-ysinxdx+cosx+xcosydy=0 find the solution of the given differenti...

Q: dy x² sin x dx cscy

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Q: Find the general solution of the given differential equation. dy - y = x2 sin x dx y = Give the larg...

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Q: Q2):For the formula of the Heating and Cooling below : T=(c".c)+20 a- at t=0, T= 100 , find c b- If ...

A: We will use log natural when there will need.  

Q: S sin? xcostxdæ

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Q: y(x² +xy -2y²)dx + x(3y² – xy – x²)dy = 0

A: Given:- y(x2 + xy - 2y2 ) dx + x(3y2 - xy - x2 )dy = 0 To find :-  General solution for given differ...

Q: Get the differential equation. dy_ x'y 2.,3 dx sec x

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Q: Differentiate the function. y= (5x- 1) (1-x°) dy %3D dx

A: Given that the function is      y = (5x-1)2(1-x3)4

Q: SOLVE the following DIFFERENTIAL EQUATIONS * for partial derivative symbol, use the letter d 02 (sho...

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Q: Solve the first and second derivative and eliminate the arbitrary constant.  1. y = C1x + C2e-x + x...

A: To eliminate the arbitrary constants. 

Q: What is the auxiliary equation associated with the second order linear differential equation d^2x /d...

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Q: Evaluate the integral that represents the area enclosed by the two curves y2, Show all work. Hint: y...

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Q: The table gives coordinates of a particle moving through space along a smooth curve. y 9.8 3.7 2.7 0...

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A: We need to find the exact volume of the given region.Below find the detail solution in image.

Q: Evaluate the integral: (t i-tj+3t k) dt

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Q: Use long division to find the quotient and remainder when f(x) — —8а5 + ба4 — 43 + 5а? — 9х + 4 - is...

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Q: Find the particular solution to DE:  2xy dx = ( x^2- 2y^3 ) dy ; y ( 0 ) = -2

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Q: Obtain the particular solution of x²y" + xy' = 1; y = 0 and y' = 1/2, when x = 1

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Q: Eliminate the arbitrary constant y=Cix + C2e x + x2 Solve for 1st,2nd derivative and final answer

A: First we find first and second derivative then find value of c1 and c2 then put these value in given...

Q: (c) Evaluate the following functions using inverse trigonometric function.

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Q: Q 2.12 You are given the following 5 デ in n = 3 evaluate it. If it diverges state divergent" the ans...

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Q: Eliminate the arbitrary constant y=Cix + Cze* + x2 Solve for 1st,2nd derivative and final answer

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Q: A- For the complex equation 2(x + iy) = 6- 3i Find the value of x and y B. Find the value of the fol...

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Q: -. Solve the general solution of the homogeneous equation with constant coefficients; (32D5 – 40D* -...

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Q: Find L {(2- t) (5 cos 3t 1)}. - 5(s²+9) (s² –9)² 10s - 82-9 5(s2-9) 10s - - s2 s2+9 (s²+9)² 10 82 s2...

A: As we know from the Laplace transformation; 1). La·ft+b·gt=a·Lft+b·Lgt 2). Ltnft=-1ndndsnLft And L1=...

Q: Find L(y). y +2x = 2 Y – x' = et y (0) = x (0) = 0 %3D %3D -2 L (y) = %3D s(s²+2) 1 O L(y) = (s2+1) ...

A: Given; y'+2x=2 y-x'=et y(0)=x(0)=0.

Q: Locate the critical points, and determine the maxima and minima. y = x2(x - 2)2.

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Q: dy x sin x dx cscy

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find L{(t- 2) (3 cos 5t + 1)}. COS 3(s2-25) (s²+25)? 30 | s2 s2 +25 6. 3 g3 s2 s2 +25 s(s² +25) 6s 3...

A: Find the Laplace transform of  L{(t-2)(3cos5t+1)}   

Q: et the differential equation. xy'dy = (y³ – x³)dx Highlight the result of substitution, result of ep...

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Q: Find the general solution using Integrating Factors Found by Inspection

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Q: Find L(x). 2y x 3t %3D y + a' = 3e-t x (0) = y (0) = 0 3s2 L (x) = - (s+1)(s-2)(s²+1) 3(s-1) L (x) =...

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Q: 2x lim x→0 x2 + 4x

A: Given function is; F(x)= 2x/(x^2+4x)         = 2x/((x)(x+4))         = (2)/(x+4)  

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Q: xy(dx-dy) = x2dy + y?dx

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Q: (b) Find the derivative of the following functions with respect to x . y? sin x+y = cotx (iii)

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Q: Q1: If fo = 1, fi = 11, f2 21, f3 = 28, fa = 29 then Afo = A) 2 B) -1 C) 0 D) 3

A:

Q: 3) If the bisection method is used to solve the equation 3x² = e* in [3.5 ,4] then the value of c3 i...

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Q: given u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  determine a,b so that v are parallel vectors

A: Given that, u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  We have to determine a,b so that u and v are para...