Prove Rolle's Theorem

Q: Express tan H as a fraction in simplest terms. V58 F V83 Answer: tan H %3D Submit Answer attempt 1…

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Q: . Approximate (1.999) by using linearization.

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Q: da (c) Use Romberg's method to compute correct to 4 decimal places by taking 1+2? h = 0.5, 0.25 and…

A: Trapezoidal Rule:                                      ∫abf(x)dx=h2[y0+yn+2(y1+y2+y3+...)] Given…

Q: . S, (2х — у)ал, O está acotada por el círculo con centro en el origen y radio 2.

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Q: 7. P(0.5 < Z< 1.5)

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Q: 1. S ef = c f

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Q: AU (Bn C))° = (c U Bº)n A°

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Q: If f(z) = cosh(In z“), then f' (7) = %3D %3D Your answer should be rounded to the nearest whole…

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Q: derivation is required

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Q: What is Taylor's Theorem?

A: Taylor's theorem gives an approximation of a K-times differentiable function around a given point by…

Q: Suppose that 3 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

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Q: Suppose we have the following two bases for R²:

A: Given, the two bases for ℝ2:           B=10, 11 D=01, 23and          v→=4-1

Q: Prove that P(X = n) = 1. 00 %3D

A: Given that  We have to proof that  ∑nP(X=n) =1

Q: The approximation to a root of the equation x^2+x-1=0 in the interval [0,1] b applying the regula…

A: The given equation is x2+x-1=0  find the value of f(0) and f(1)  fx=x2+x-1f0=02+0-1=-1…

Q: Find the work W required to empty the tank in Figure 8 through the hole at the top if the tank is…

A: We would like to find the work W required to empty the tank in Figure 8 through the hole at the top,…

Q: 4t3 + 2t? + 3, t20,

A: Given:  S(t)= 4t3+2t2+3,     t≥0 Velocity: if S(t) is displacement then the velocity of the particle…

Q: Implicit De 1. ху 3D (1 +

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Q: 2. A donkey is tethered to a corner of a field which is fenced in two directions. The rope is 10 m…

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Q: Explain why the two forms of Green’s Theorem are analogs of theFundamental Theorem of Calculus.

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Q: Solve the following PDE using the method of separation of variables and Fourier:

A: In this question, we solve the given boundary value problem by using the separation of variable as…

Q: Exeraise 3: Use Charpit's method to Salve the fallowing EDE: -0.

A: Given equation is, x2ux-x2uy+uuy2=0 The charpit's method formula is,…

Q: Stuck on this problem.

A: Determine the radius

Q: tain we and tangent together. 6. у %3D (х — 1)? + 1, (1, 1) 1

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Q: (2 + j)?

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Q: •√ (2x + √₁ (2r+√16-r²) dr by interpreting it in terms of areas. 10. Evaluate

A: Bh

Q: Compute the work (in joules) required to compress a spring 4 cm more when it is already compressed 9…

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Q: 1. Show that dr

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Q: 6z8 + j5z* + 6 = 0

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Q: might deny themselves expieriences that are necessary for the development of e d tallents are…

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Q: Establish the Pade approximation: 1680 + 840x + 180a? + 20x3 + x4 e" - R44(x) : %3D 1680 – 840x +…

A: Here,…

Q: Realize Stoke's theorem

A: Given,        A→=j^x+k^y

Q: ANSWER I

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Q: asa

A: Here we have to find the lateral surface area of the figure , value of h , and  Volume of the right…

Q: Briefly discuss the origin/history of De Moivre's Theorem.

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Q: proof that [1] × [l, = [7].

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Q: Explain the process of Gauss Jacobi, Gauss Saidel, Bisection, Regula - Falci, Newton's Rapson…

A: Gauss Jacobi Method: Gauss Jacobi method is used to solve system of linear equation which consist of…

Q: A force of 14 lb is required to hold a spring stretched 4 in. beyond its natural length. How much…

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Q: Use Euler-Maclaurin's formula to prove that E n %3D

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Q: 5. Determine la solución general de 8 y "+2 y'- y = 0.

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Q: tan e = cose 6. 2 =1 t. 2+1= 2. 2. 5. 2.

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Q: Find the extrema of (x+1)(y+1)(ax+by+c) Where a is the third last digit , b the 2™ª last and c the…

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Q: 1. y(IV) – y = 0 1 y(IV).

A: The solution is given as

Q: Find fue regiar boended by equafions. (Hint: 10 area of tue Find tul poins where tuey intrseet) e?…

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Q: Use the linear approximation L(x)=2-(x/4) to approximate the numbers radical(3.9) and radical(3.99).…

A: 3.9 is close to 4. And 4 is being used for approximation.For radical(3.9) , x=4-3.9=0.1We have to…

Q: Sino = 3. To 0= 19.47 /-

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Q: Co

A: Given that: The Taylor series for f(x) = ln (x) at c = 3 is ∑k =0∞ ck ( x - 3)k .

Q: dual LP problem.

A: We have the primal problem : Minimize   c=s+3t+uSubject to 5s-t+v≥1,000u-v≥2,000s+t≥500s,t,u,v≥0 We…

Q: Determine la solución general de 2 y"- 3 y' +4 y = 0.

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Q: When is lnx negative?

A: Let the function be                                  y=f(x)=ln(x) The domain of the function is all…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.