Q.18) A series (-1)4+1 2k+1 , is: a) diverge by alternating series test c) converge by comparison test Q.19) The solution of 23x = 7 is: a) In b) converge by alternating series test d) diverge by comparison test b)logs (3) In7 3/m2 d) logs (3)

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A: We have to find solution

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A: Concept: linear equation in three variable solutions: a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3…

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A: As per bartleby guidelines we only give first question answers.

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A: Given that,

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Q: me

A: We have to solve the given differential equation

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Q: ? Question Classify the critical points of h(x, y) = x²y + xy² + x³y² + xy³ found in the previous…

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Q: Q.20) If ef(x) = 3x² +4, then f'(x) = a) 3x² b) e-f 3x²+4 3n 71 tements applies to the series En-1…

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Q: A population y changes at a rate modeled by the differential equation = 0.2y(1000-y), where t is dt…

A: y'=dydx=0.2y(1000-y) Solve for y in y'=0 0.2y(1000-y)=0⇒y=0, y=1000 Interval…

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Q: 7. Evaluate the integral

A: answer is in next step.

Q: c) Converge by integral test Q.10) fxe-x dx = a) 6e-5-1 25 b) 1-6e-5 25 c)(4+1) 2$ -6e-s 25 d)-

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Q: 8. a. Using the vectors x = (3, 3, 1) and y = (-−1, 2, -3), verify that the following formula is…

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Q: 5. The distance between the points (sin,cose) and (cos0,-sinė) is S

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A: The sum of two positive real numbers x and y is 12.

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A: We have to approximate the given integral.

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A: answer is in next step

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A: We can solve the question as below and as per the asked method.

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A: Given:  r = 2(1− sin θ)

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