Nicole Oresme's Theorem Prove Nicole Oresme's Theorem that 3 + ... + 2"-1 = 4. п 2 + (Hint: Differentiate both sides of the equation 1/(1 – x) 1 + E1 x".)

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A: Equation line passing through x1,y1 and x2,y2 is, y-y1=y2-y1x2-x1x-x1 y=mx-mx1+y1;   m=y2-y1x2-x1 is…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: Given that f'(x) = 6x – 14 + 9e* and f(0) = 4, find f(x). %3D %3D

A: As we know that; the fundamental theorem of calculus. ∫abf'xdx=fxab=fb-fa Given: f'x=6x-14+9ex

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A: Our Aim is to evaluate the integral given below:-∫x3(a2+x2) dx -(i)

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Q: TRAPEZOIDAL USE N=5 ACTIVITY # 8 : esinx dx SOLVE USING TRAPEZOIDAL AND SIMPSON'S RULE 4 decimal…

A: f(x)=esin(x) h=b-aN=3.1416-05=0.6283 table for x and y x 0 0.6283 1.2566 1.885 2.5133 3.1416…

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A: Use the standard formula of hyperbolic cosine function.

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A: To solve the differential equation y''-y'=xex using undetermined coefficients.

Q: value of positive 1. Then find tne constant coefficient of the following. x²y°| b. x³y? а. 3,,3

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Q: Using Cranes's rule Salve the sgsten of equalion 3x+2y-Z=1 X-Y+5Z=-2 2X +y =3

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Q: Question from Calculus II: Solve the following initial value problem for y as a funtion of x: x…

A: Here we solve the initial value problemxdydx= x2-25 , x≥5    , y(5) =3

Q: estion 2 Applying De Molvre's theorem to write (4-43) in the form a +ib, the value of a is and of b…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: QUESTION: PROVE that C- (x(e), y Ce) wheRE X= 1 +In () For All t>O to 3+21n (t) y- t

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Q: Given that f'(x) = 6x – 14 + 9e* and f(0) = 4, find f(x). %3D

A: Use the integration to find f(x)

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