In Exercises 1-3, find the general solution of the differential equation specifie lip 2. dt 1+t

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A: The given condition, a Petri dish containing 3000 newly discovered flesh-eating bacteria makes a…

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Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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Q: 4. Find the absolute extrema of the function f(r, y) = ry-I-3y on with vertices (0,0), (0, 4), and…

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Q: dw given w = ² – 2y + z² and a = cos (st), Use Chain Rule to find ds -2s Int and z = 8 - - Vi.

A: Given,             w=x2-2y+z2 , x=cosst , y=-2slnt , z=s-tTo find : Use chain rule to find ∂w∂s.

Q: Find the radius of convergence of the series 2" n=1 O 1/2 O 2 O1 O infinity

A: Explanation of the answer is as follows

Q: (x² (а3 — 2)da 4x +

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A: We have to find derivative

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Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

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A: Given query is to find the area.

Q: (4x + 1)² cot(5x) f(x) = ln

A: Follow the procedure given below.

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A: PV = kT   P = kTV                                               1…

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Q: Write the radius of the circle x 2 + y 2 + 5x - 4y = 0. √(29) √(41) √(41)/2

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Q: Question Use the third Maclaurin polynomial for f(x) = e" to estimate e. Round your answer to four…

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Q: 3. Let f(r, y) =rsin ry. Find: %3D (a) fz(I, y) (b) fy(r, y) (c) fyy(1, 9) (d) fyz(r, y)

A: Given f(x,y)=xsin(xy) Now fx= d/dx (f(x,y)) fy= d/dy (f(x,y)) fxx= d/dx(fx(x,y)) fyy= d/dy (fy(x,y))…

Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z = 12

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Q: Question 8 of 10 v(x) = 4 cos(sin(3x)) Select the correct response: –12 sin(3x) cos²(3x) -12 cos(3x)…

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Q: Find thee inverse function. of fcas_ 2x+3 らメープ

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A: Given  There are 21 squirrel characters who can live on your island. We are allowed to have 10…

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A: Solution in step 2

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A: Answer is in below step.

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Q: f the limit of the nth term of a series converges to 0, then the series onverges.

A: This is the false statement. So i am providing an example in my handwritten note, so that it'll be…

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Q: 10 The conic whose equation is x 2 + y 2 = 36 is a point-circle a circle an ellipse

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A: To find the area of the region enclosed by the two curves.

Q: a · Va? +1 dæ: 3 Consider the indefinite integral This can be transformed into a basic integral by…

A: We have to find the given integral.

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Q: y

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A: Recall: sin2t+cos2t=1

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A: p(x) = sinx/cosx here i think question is sinx*cosx any of the answer is not possible so the…

Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

A: The given problem can be solved as follows:

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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A: Follow the procedure given below.