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## Related Calculus Q&A

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Q: 1 Using Convolution theorem, find L' ,2 |(s² +a²)?

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Q: 3 tari' (xty) , Prane that x2+ ydz Sen 2z be

A: We have z=tan-1x+yx-y This implies tanz=x+yx-y Let u=tanz Then we first need to find the degree of…

Q: < sin!!), w5"1)? aiong.seni-circle. 4) Work done by o trom tJ5, 1) to' (-3,-1) t radius 2 · 个。 3+1…

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Q: /show that fo-1x is-Contindals everywhere.

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Q: Theorem: For AC Cmxn, R(A)IN(A*)

A: We need to show that R(A) is perpendicular to N(A*).

Q: Q)is a) x^2=y^3 reflexive antisymmetric Transitive Explain it correctly,solve only when know…

A: We have to find the correct option

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: Below A JKL was rotated 270 counterclockwise about point J to create AJ'K'L What would be rule that…

A: Given:

Q: If y=tanx , prove that y```=2(y^2+1)(3y^2+1)

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Q: Convert the ordered pair in polar coordinates to rectangular coordinates.

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Q: What theorem shows that GTY = GUX? Osss O SAS O AAS O ASA

A: We have to check

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Q: 5. What is UF, where F = 0? Prove the correctness of your %3D answer / computation.

A: To find- What is ∪F, where F = ∅? Prove the correctness of your answer/computation.

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Q: 15: Using first principles (by definition), prove thát thể đêrivätive of ä constant is U

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Q: 3 use the definition prove that sin = UsZ %3D a Tect l

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Q: 2.Prove that I (sinwt) : s2+w?

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Q: Explain the fundamental theorem of albenra?

A: To explain: Fundamental theorem of Algebra

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Q: Let f lany) prove that' flany) di f feren tiable I5 not point lo,0) .

A: Let the function be fx,y=xy Note: [ We can say that f is differentiable at (a,b) if f is…

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Q: Prove cot 7-= V2 + V3 + 4 + 6. 12 + 3 + V4 + V6. %3D

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Q: prove that lim (2X+iy2)=D4i %3D

A: We have to Show given expression of Complex limit.

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Q: if y = secx prove that y^2+y=2y^3

A: Equation relates the number of variables combined together by algebraic entities using equality…

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Q: Write down an (in)equality which describes the solid ball of radius 5 centered at (6, 3, 8). It…

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Q: Write down an (in)equality which describes the solid ball of radius 5 centered at (6, 3, 8). It…

A: To write the equation of sphere/solid ball

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Q: et X~U([-, 1) and let y = tan(r), show that y Cauchy(0, 1)

A: # using Jacobian transformation we have proved that y=tanx follow Cauchy distribution (0, 1)

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Q: 5. What is UF, where F = Ø? Prove the correctness of your %3D | computation. answer

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Q: @H-w/ prove that cosiz=coshz

A: We have to prove by using cosiz and coshz formulae.

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Q: Complete this proof in its proper format: Proof= { (∀x)(∀y)Rxy } |- (∀z)Raz Assumption:…

A: The given statement is ∀x∀yRxy|-∀zRaz. We have to prove this statement in the prescribed proof…

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Q: A force of F(x)=x2−cos(3x)+2, x is in meters, acts on an object. What is the work required to move…

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Q: Show that |qbu)|&x + 7元? the closed on interval [-元,T」 fo1 -π2 2くだ gluen that glven gux) for

A: Given g (x) = x +x² To find the maximum value of g(x). We can differentiate the function and equate…

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Q: i+z 3. Prove that: tan-1z = - In %3D

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Q: 3) Use Green's Theorem to evaluate o-ydx+xydy where C is the line segment from (-2,0) to (2,0) then…

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Q: Assuming Cov(X, u) = 0 allows us to equate Exû to zero. True or False? Explain.

A: Solution

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Q: 火2sin C&) for ダチo fcx) = { for x =0 show that Con tinods or not

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Q: gion enclosed by y

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Q: 2. Find the principal value using De Moivre's Theorem: |20 3 2ez

A: We know that, eiθ=cosθ+isinθ De-Moivure's theorem: cosθ+isinθn=cosnθ+isinnθ

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Q: Q. Use first principle rule and proue that if y=s %3D secl tand = secx

A: Given: y=secx We know that for any given functiony=fx, first derivative is given by…

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Q: H.co/ prove That;. dz 1-2 Cosh2=

A: Click to see the answer

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Q: Consider ỹ,,y2, ÿ,ER³ and that y,+y,+y;=0. For Î=span{ ỹ,,y} and Y=span{ỹ2, y, show that Î=Ỹ.

A: Given that y→1, y→2, y→3∈ℝ5 and that y→1+ y→2+ y→3=0→. and Y^=spany→1,…

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Q: Use the definition. that sinz prove Z = CUJZ %31

A: Derivative of a complex function

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Q: 1. Use the Intermediate Value Theorem to prove that the equation 3x - 4x? = 3 is solvable on the…

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Q: 2), Compute SE. di where Fュく-,) C is s shown

A: The general form of a vector valued function in three dimensions is given by F→=F1,F2, where F1 and…

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Q: If y = xsinx then prove that y''+y=2cosx

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Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y4…

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Q: show that X uniformoly Yメ7o

A: Since you have asked multiple questions, we will solve first one for you. If you want other question…

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Q: A natural cubic spline is defined by Sa,(x-1)' +b,(x-1)² +c, (x - 1) + d, S(x) =- if 0sxs1 (x- 1)' +…

A: Step:-1 Since, we know for cubic spline S(x)=S0x=a0x3+b0x2+c0x3+d0…

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Q: A: limy-o sinx(1-cox) 2x

A: According to the bartleby guideline only one question can be solved at one time, post the remaining…

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Q: Prove that Va2 + 4 sin ( sec %3D V2 +4

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

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Q: Find the are length of f(r) = (r + 3)2 from r = 0 to x = c in terms of c. %3D 2/3

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Q: appose that X1,X2, ... ,X, X)e = (1/2)(1+ X0); %3D how that 3X is a consis

A: The expectation of the distribution can be calculated as:

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Q: The segment addition postulate can't be proven using a two column proof. O True O False

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Q: Find дх (дхду) 6,e at the point(7,), where g(x,y) = cos(y) [sen(x) + xy].

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