the trapezoiclal rule to calculate (2x+3) ck using just one Compane with amalytical answer?

Q: Find the Leplace bransform. of Hhe fure tion ESinut octca to biven that

A: Laplace transform of periodic function: The Laplace transform of a periodic function f(t) of period…

Q: Find the wolonm of inforachom

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Q: S find the Voutofeguatin 3x€-1rinthe interval Co,1] bg using:- - Bisectin method

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Q: Q4/Find Loplace transtorm of £(4)= et by using} defining fanotion ر م ) ) st e" dt

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Q: Find the projesiin Fisi+2j intro - Scaher componet

A: The vector equation is F=5i+2j. The vector equation is v=i-3j

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…

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

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Q: the 64 enclosed of the 'reyion cunves Find Aren Y= xZ-2X +6X

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Q: XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove that…

A: The answer is given as follows :

Q: Find the Fourir for fcae) = (1+x) [-x, ] %3D

A: Given function is fx=1+x and −π,π We have to find the Fourier series of fx. The Fourier series of fx…

Q: we divesgencatheosem to evaluate + XzK. dA cohose sisthe boundasy of cube definedd by

A: By divergence theorem we convert the given surface integral to the volume integral, and the region…

Q: On a sphere a sum of all angles of a triangle is larger than T. What is the largest possible sum of…

A: We know that  On a sphere sum of all angles of a triangles is larger than π. A spherical triangle is…

Q: Find the reductión Bormula Bor d x In (a+bshmx)"

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Q: 8. Express as a polynomilal. Arrange your answer from term with highest degree to lowers degree *…

A: SINCE YOU HAVE ASK MULTIPLE  QUESTION IN SINGLE REQUEST. SO WE WILL BE ANSWERING ONLY FIRST…

Q: Use Lagrange multipliers to find the dimensions of the box with volume 216 cm3 that has minimal…

A: Given: The volume of the box is 216cm3 . Calculation: Let the dimensions be x, y and z. The volume…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to z* + 0z° + 24z? + 3z +…

A: We will use bounds of error in approximation using trapezoidal rule and Simpsons rule

Q: DE : -t de dyx= 3et dt with indial conditins : xl0)=6 yl0)=1

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Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: Find дхду of z = In(x² – y) %3D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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: The minimum value of n required to approximate xedx by composite Trapezoidal Rule with an error less…

A: The given integral is ∫02xe-xdx here b=2 , a=0 the error formula for the composite trapezoidal rule…

Q: What is the wronskian of cotx, cot2x, cosec2x?

A: We will find out the required value.

Q: Save the following Sef of Lincay equations using over relaxoation 10X, +X2 + X3 12 X, + 10X2 + X3 =…

A: Rewrite the given system of equations, to find x1, x2 and x3. Multiply each right hand side…

Q: When using Simpson's rule we must having two distinct point Select one: O True O False

A: Simpson's rule is used to calculate the value of definite integral by approximating area of the cure…

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.

Q: (a) through the midpoint rectangular rule and (b) through the trapezoid rule. Discuss your results…

A:

Q: A rectangular pen is built with one side against a bam. # 200 mof fencing are used for the other…

A: Given: A rectangular pen is built with one side against a barn.

Q: 16. Obtain the toigonometric fouries seajes for A fit) > wt 277

A: The given image is of sine wave form. Here, period T=πand so, w0=2πT=2ππ=π

Q: AXYZ is isosceles with base YZ. If meX = 57°, what is mzY? Show work!

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Q: ☺ show dhat 2) G(x,x) => Uola) Uorlo) were G is green funcfion

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Q: find of the inflection neacity point of ) where is 814 Also explain it gomdhically cometicall

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Q: Use calculus to show that the maximum possible area of a triangle with one vertex at (0, 0) and the…

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Q: A hollow cube of edge 22 cm is filled with spherical marbles of diameter 0.5 cm and it is assumed…

A:

Q: An Inscribed rectangle Is bounded by the x - axls and the semicircle y =V25-x2. What length and with…

A:

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

A:

Q: Discuss about hairy ball theorem in comprehensible way.

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Q: Let X~ Binomlal (n, P) Find ECx3) by Central moments.

A:

Q: -3 [-1+v3i]

A: Explanation of the answer is as follows

Q: The multiaty of Kermel for chi

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Q: Describe the tronsformaton that must be performed, On the of y=&5)*-3 gaph of y= xh to Obtuin the…

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Q: 9 Find the lies which degion bounded and area in in first eyuadrant 12-axis by Jine V= n=770 Give…

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Q: 9) suppose that horx)=1, f,(x)=x ond dz(X) Prove that Ba(f, - where Ba is a Bernyterh Polymomial.

A: Given functions are f0(x)=1, f1(x)=x and f2(x)=x2 Since Bernstein polynomial is…

Q: 7. Use Green's Theorem (and no other method) to show that the area of the triangle with vertices…

A: Greens theorem

Q: Why is it called the sandwich theorem?

A: If we have three sequences fn,gn, and hn and limn→∞fn=L=limn→∞hn then limn→∞gn=L.

Q: 39.) Show how to use (a) trapezoidal rule and (b) Simpsons rule with n=4 to 4 approximate ſ,"…

A: There are different methods of solving a definite integral without integrating it such as the…

Q: Differentiate, and make sure to show all your work: 3z ²-2 Y= 5 cosh z

A: We have to differentiate the given expression, y=3x2-25cosh x Apply the quotient rule for…

Q: Find the root/s using 1) Secant Method and 2) Regula-falsi Method a. e-* - 3logx = 0 %3D

A: According to our guidelines, we can answer only the first question or three subparts of a problem,…

Q: Explain the fundamental theorem of albenra?

A: To explain: Fundamental theorem of Algebra

Q: Find the polynomianl degree 9 centered at 0 that best approxixmates f(x)= f(x)=1/ 7sqrt(1+x^3) Now…

A:

Q: What is thie generalized union and interdection of %3D where 1-10,1)

A: As given,  λ is the index set for A.  Hence, there are two sets possible,  Aλ=0  =  [ -(1/0) ,  0]…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.