5, i, Evaluate the first and second derivatives of the function z-2x4+3x3+2x-5 when x = 4.

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A: Given that a function f satisfies some properties   To Give: Equations of the two linear asymptotes…

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Q: a) ] Let W = span{(1, 1, 0), (1, 0, 1), (2, 1, 1), (0, 1,-1)}. i. Is (9,0,9) in W? Justify your…

A: Please post the multiple question separately. Here I answered 1st question as per out policy.

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A: The graph of x versus y'(x) is as follows:

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A: Given,           v→=w-yi→+xj→

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A: Given below clear explanation

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Q: exponential function rate of change   Consider a function P(x) = 5.4 (1.05)^x   a) explain what…

A: (a) Here, P(x) = 5.4 (1.05)^x represents a geometric series.   P(0) = 5.4 (1.05)^0 = 5.4 x 1 = 5.4…

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A: Given, f:R→R by f(x)=5x if f(x) is rational and f(x)=x2+6 if x is irrational.To prove that f is…

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A: The solution is below.

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A: #vertical asymptotes are vertical lines ( parallel to y-axis ) which touches the curve at infinity…

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Q: 8.. If L' { f(p)} = F (t) then L1 {f( ap) } is : a) aF(at) b) F (t/a) c) F(at) d) (1/a)F (t/a)

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A: given income stream by adopting plan A ft=3,030,000 e0.02t income stream by adopting plan B…

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Q: QUESTION 11 Given H {(1), (1 2) (3 4), (13)(24), (1 4) (2 3)}. %3D a) Show tha H is a subgroup of A…

A: Here given H=1, 1234, 1324, 1423 is a subset of A4. Where A4 is even permutation group defined as…

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A: Definition of  Periodic function : A function y= f(t) is said to be a periodic function if there…

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A: Since you have posted a multiple question according to guildlines I will solve first question for…

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Q: d Uncertainty for the equation below R = Vd

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A: x=4cos(300)+10sin2(300) y=ln(10)+30sin(250)

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A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

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A: To find the sum of the given series in which those are convergent series .

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Q: 3. Prove that eª >1+x for x > -1

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A: Given: Initial value problem - u'=x1-2u2;   u0=1 To find the solutions u0.1 and u0.2 using the first…

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Q: -3 -2 -1 1. -8642 -2 3 * 6 4 2 0 2 46 8 10 2 2- -8-6 -4 -2 8 4 2 -2 4 -6 5 Determine whether these…

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Q: 2. The curve with polar equation 24 3 cos 0 + 4 sin 0 = is a line. Find the slope and the…

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Q: -4 If B = and []B then a 3 4

A: B = {(1, 3)t, (0, 1)t} Co-ordinate representation of x with respect to B is         [x]B = (-4, 4)t

Q: x2n+1 E (-1)"; (2n + 1)! 263 The series: n-0 the actual sum exists? Provide an exact answer and…

A: This is a problem of series.

Q: for fa(a, y), let flg(2)) = (2² + y*)! %3D fa (2)%3D (2r)D %3D 2V + y2 3z (0) (i) (ii) 33z+y for…

A: We have to calculate the partial derivatives.