2 Construet a tnuth foble for FPv (avs )]^ [-RV(Qvs]] P>A1(eAR)]=> (R=>P)

Q: Let f(x)= (x^3+3x+2)^2 f'(5)= ?

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Q: Use logs and implicit differentiaton to prove (root(x))' = 0.5x^(-0.5)

A: Let y = √x Take log to the base e, i.e. natural log, i.e ln on both the sides, ln(y) = ln(√x) =…

Q: Find an estimate for the positive root of x^3−x^2−x+1=0 using seven iterations of the Fixed Point…

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Q: Let f = e^ (− x ^3/ 3) +x−y^ 2 . Find the local minima, maxima and saddle points.

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Q: 2

A: To find, L-11s2+13 The Convolution Theorem is given as, If L-1f¯s=ft  and  L-1g¯s=gt then,…

Q: Note that 1/4 ≠ 1/2; but (1/4)^(1/4) = (1/2)^(1/2). Use the hint "y = x^x" to prove that there…

A: Please check next step for details.

Q: Estimate the error if P4 (x) = 1 +x+ ( x^2/2) + ( x^3/6) + ( x^4/24) is used to estimate the value…

A: We have given that ,  P4x = 1 + x + x22 + x36 + x424 We need to use P4x to estimate the value of ex…

Q: Shouldn't the 6 be divided by a two, so f'(c) = 3?

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Q: Consider f(t)=. Find f'(1).

A: Given ft=<6t2,5t3,8t4> Differentiating the given function with respect to t, we get…

Q: Find A^ if A :

A:

Q: If f(t)=(t^2+4t+3)(5t^2+6). find f('t) and f'(3)

A: Given: f(t)=(t^2+4t+3)(5t^2+6) find f('t) and f'(3) = ?

Q: The residue of f(z)=1/(z+1)^3

A: f(z)=1(z+1)3

Q: find the demand of dr/dq=2800-45q2-15q2  when q=6

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Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: 2x + 3 f(x) = In %3D 7r – 7 f'(x) =

A:

Q: Show that f(x1, x2) = 2 - (x1 - 1)^2 - e^x2^2 is concave.

A: the given function is fx1,x2=2-x1-12-ex22 To find the function is concave we have to show all its…

Q: If |z|=1,show that (z^-1) =(z congegate)

A: Given z=1 We have to show that z−1=z¯ Since, z=1 ⇒z2=1 We know that z2=zz¯

Q: 1 Evaluate 1 e ,2

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Q: please differentiate the function

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Q: ſ csc' xdx

A: Solution is written in below steps.

Q: (b) (p^q) Vq=pVq 1

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Q: P(0) = {0} O P(A^) \ {0} C P(A)°

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Q: Let p = 1, q=1, r=0 Find value of the following expression (p^q) v ((p ^r) ^ (q V r)) =

A: Note that 1Ʌ1 = 1 1Ʌ0 = 0Ʌ1 =  0Ʌ0 = 0   0V0 = 0 1V0 = 0V1= 1V1 = 1    We have given p=1, q=1, r=0

Q: Find all solutions on the intern cotx=x^(3)- (1)/(x^(2))

A: The given equation is Cot(x)=x^(3) - 1/x^(2)   x^(2)Cot(x)=x^(5)-1   x^(5)-x^(2)Cot(x)-1=0

Q: Let I +1 f(z) = I + 10 f(- 5) :

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Q: show that e^(4t-3t^2) cannot be a moment generating function

A: Moment Generating Function:                The Moment Generating Function is the expected value of…