sechx+cshx b) prove that e2x cshx-sechx

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A:

Q: integral -{cay,a> 91-) Evoluate te nplhas)ss - 24x<0, Ocyc1, -16241} . where

A:

Q: Use De Moivre's theorem to solve:

A: Given,  x4-1+i=0

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A:

Q: Prove Taylor's theorem.

A: The objective is to prove Taylor's theorem. According to Taylor's theorem we have, If fx be a…

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Q: dR Find using quotient rule dT 67ar VrT + 47

A: To find the differentiation using Quotient rule

Q: evaluate using the appropriate method or combination of methods.

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Q: 5. Show that dS = 0. lav

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A: We first try to express 1-i3 using polar form.r=12+(-3)2=1+3=4=2θ=tan-1yx=tan-1-31=tan-1-3=-π3So,…

Q: use the definition prove that dsinz =

A: Question is solved.

Q: 3x² dx

A:

Q: Q. Use first principle rule and proue that secn tene if y = secx %3D

A: Note  your Question is wrong because right Question is  y=sec(x) then y' = sec(x)tan(x)

Q: lim Vr In r.

A: To evaluate the given limit.

Q: rV4- a² dx

A: Let's find.

Q: 6. Prove that 1 cosh(tanhx) : -1 <x < 1. V1- 12

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Q: When using Simpson's rule we must having two distinct po.

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Q: 3) Use the Intermediate Value Theorur to show that there ís a root of the equation Make sure you…

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Q: When are the two versions of Fundamental Theorem of Calculus helpfu

A: The first version of the fundamental theorem of calculus involves a variable like x so this will…

Q: = Length X of Y using

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Q: B. %23 Explain how you can prove that LA LC.

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Q: Prove that ) - arctan x + A if x -1 - 4

A: We have to prove: tan-1x-1x+1=tan-1x+3π4   if x&lt;-1tan-1x-π4   if x&gt;-1 Taking LHS, putting…

Q: Ex: well defined?

A: Yes. It's well defined norm function.

Q: 6) Prove mathematically that (1 grad = 0.9 deg) %3D

A: Since, this is a multiple question according to the Bartleby Answering rule, only first question is…

Q: Find the product of approximate numbers x, = 2.37 and x, = 20.3546 all of whose digits are valid.…

A: Here, we need to find the product of approximate numbers x1=2.37 and x2=20.3546 all of whose digits…

Q: bounded by + 22 %3D

A: z&gt;0z=x2+y2z=1-x2-y2Intersection;x2+y2=1-x2-y2x2+y2=1-x2-y22x2+2y2=1x2+y2=12x2+y2=(12)2;  circle…

Q: 14. Prove that sin x cos x from dx first principles and be sure to prove all limits used.

A: Proof of limit which is used to prove derivative of sin(x) is cos(x).

Q: State Green’s Theorem

A:

Q: use residues to evaluate the define utegral

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Q: is Flaiy)= integrahing an 2

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Q: 1. Show that dr

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Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan…

A: Given query is find the value of the integral.

Q: using Trgananetre Represent the Fonrier Selies 1 fex) ○くxく1 -1 -1 (x 40

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Q: Verify using Pathagoream Thereom EA 2xv x44 -radius

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Q: Discuss about hairy ball theorem in comprehensible way.

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Q: Prove that -mX 2mL -2 mL Cosh mL

A: The solution of the problem is given in the next step.

Q: Proved that cosh fas/ (cashZ+L)

A: To prove :  cosh2z2 = 12cosh (z) + 1

Q: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let x and y be the values of the two positive numbers whose sum is 16. Need to minimize the…

Q: © Find the singular value deomposition of the matix I- A =

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Q: Q. Use first principle rule and proue that secl teind y = secxtan x

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Q: A is a point of tangency. What is TN? 16 12

A: Given a circle where A is a point of tangencyy. AT=16 and AN=12

Q: limit x to infinty tan(5t)sec(99t)/t

A: Lim           f∞(st) Sec(q q t )tx→∞    Here limit x→∞ But the function is in t ∴

Q: nly.

A: Given equation is :  -√3 sin(x) + cos(x)

Q: 38 Show that x² V2x – 3 dx - 35

A: use the formula below to evaluate the given integral.

Q: Prove that 1- cosh-x= In(x+ V?-1 x= In(x+Vx² -1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Prove that 1- cosh -1 x= In(x+ Vx- -1 1 x+1 2- coth -In x-1 X = - Vi+x? .2 1 3- csch -1 x = In(-+

A:

Q: Prove that: 3-4x² dx 4VIn3

A: The given integral is I=∫0∞3-4x2dx. The idea is to evaluate the above integral using gamma function.…