Evaluate the f z'-5z'+6z²-18 dr O a. 글z2-2z +21nr-을 +2 In z-31 +e O b. 1z2+ 2r+ 21nr-을-2ln z-3| +e Oc 글-2z+21nz-을-2In lz -3|+c o d. 을z2-2r + 21nz-을-2In l-3 +c

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A: according to our guidelines we can answer only three subparts and rest can be reposted

Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotx)dx=0is

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Q: Exercises 1. Verify formula (2) of Section 50. 2. Obtain and verify formula (3) of Section 50. In Ex...

A: We have to find general solution of given differential equation.

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A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: This question is based on ratio test.

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

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Q: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-...

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A: Solution is written in below steps.

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A: ∫ d2ydx2 =∫ 2 e-x dxdydx=2e-x(-1)+Bdydx=-2e-x+B ...(1)

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A: topic - differential equations

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A: topic - trigonometric ratios

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A: given that ∫-4x-12x+103x-43=Fx-1find F3

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A: We have to solve  (2x3+2xy2-xy)dx - (x+2x2y+y3) dy = 0       ... 1 By forming exact differentials.  ...

Q: Given A=-3ay +2ax +4az, B=3az -2ay + 5ax and C=-3ax +4az +5ay. Find a. A+2B-C and b. I 2A-3B+C I.

A: Given A=2ax-3ay+4azB=5ax-2ay+3azC=-3ax+5ay+4azA+2B-C=2ax-3ay+4az+10ax-4ay+6az--3ax+5ay+4az          ...

Q: Use the Quotient Rule to find the derivative of the function. Re) = Sos(t) f'(t) =

A: We will find the derivative of the function f(t) as following.

Q: 1.J347x2+12x .s 3x2+8x-12 dx

A: 1). Given: I=∫3x2+8x-12x3+7x2+12xdx We know that; ∫1ax+bdx=1alnax+b+C   Note: As per Bartleby guidel...

Q: Suppose that f(z) is an entire function and there exists aceR s.t. Re(f(2)) < c for all z. Show that...

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: Given series  ∑k=1∞5kk!

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A: topic - differential equations

Q: 9. Evaluate f(e* + 2*) dx a.) 2e* + +C In2 b.) er + 2ln* + C c.) e* ++c d) e* + 2ln x + C In2 10. Ev...

A: Evaluate integrate. And follow step 2nd .  According to guidelines we solve only first three parts. 

Q: 5. у'+2у %3D х2

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Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotxldx=0is

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A: Let t =log2 x and follow step 2nd . 

Q: 1. Given: a2 = 12, a3 = 24 Find: ao =? a. 2 b. 4 с. 3 d.

A: Topic:- sequence and series

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: Given problem:- Find the Taylor polynomials of orders n = 0, 1, 2, 3 and 4 about x = x_{0} and then ...

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Q: Solve each of the following DEs by determining its integrating factr. y(xy+2)dx+(x²y+8x-4y²)dy = 0

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Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f '(t)=

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given :(2-7), (3-8), (4-9)

Q: a. 2 sec (5x²) tan(5x²) + C b. tan (5x) + c c. 10 tan (5x) + c d. none of the above 27. Evaluate csc...

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A: Given problem:-

Q: What is the slope of the NORMAL LINE to the given curve y = x + at point where x = 3 *If the answer ...

A: The given function is; y=x +1/x at x=3.