1) Where is fx) discontinuous? Where is ffx) differentiable? r<-2 x-3+1 x>2

Q: suppose A is a positive real number, determine the area of the traingle enclosed by the lines x=0,…

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Q: is intea rable Primitive aR 2 > X 3 1 2. 1 ラメラ 。 (今さ うx 31 ラ× %3D >入う。

A: we have Fx=0            0≤x&lt;12x-1    1≤x≤2and fx=1     0≤x≤12    1≤x≤2 i The primitive of a…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to | (- - 62 + 24x2 – 2x…

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Q: For the region under  f(x) = 4x2  on  [0, 4],  show that the sum of the areas of the upper…

A: Recall: Area using the definition of the definite integral:  The definition of a definite integral…

Q: 2. Explain how to use the evaluation part of the Fundamental Theorem of Calculus to compute J", (3x²…

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Q: If the interval [4, 18] is partitioned into n = 28 subintervals of equal length, what is Δx?

A: Total length of [4,18] is (18-4)=14  Given that, n= number of partitions= 28

Q: The base of a three-dimensional figure is bound by the line y = 4 - x on the interval [-2, 2].…

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Q: Use a linear approximation to estimate V26. Whot neint

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Q: I need help especially in c (interval) and d part

A: Confidence interval explains the interval range that contains true parameter. While the predicted…

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

A: To find the differentiation using Quotient rule

Q: remum points

A: In the given question, the concept of extrema is applied. Extrema The critical points of a function…

Q: Graph the integrand and use geometry to evaluate the integral. V36-x2 đx O 36 O 36 O 18

A: We will solve the problem

Q: 4.3 Use the calculus of residues to evaluate the following integral (x2- dr. + 1)2

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Q: Why are special methods, such as l’Hôpital’s Rule, needed to evaluate indeterminate forms (as…

A: l’Hôpital’s Rule are needed to evaluate indeterminate forms

Q: Proves/1=L2

A: The given figure is

Q: use the definition prove that dsinz =

A: Question is solved.

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: Find he minimum numbcr of terms to approximale 00 to wilhin 0.1. Use alkernahng scries eshmahion…

A: We have to use alternate series error estimation formula  to find n  Let ∑n=1∞an  be a series…

Q: 2S ketch Fue Seqion bounded by X=y2 cind 4:3

A: We need to sketch the region bounded by X=Y2, X=0 and Y=3. First we will find the intersection…

Q: Use Trapezoidal and Simpsons 1/3 rule to estimate integral ( - 2x° + 7x - 5) de.

A: The expression ∫13x3-2x2+7x-5dx. We have to use Trapezoidal and Simpsons 13 rule to estimate the…

Q: use the gaussian quadrature formuld to estimate it cund onilt foddxit, where fad =x+2

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Q: Find the betwween/bounded by area the Curue u=4y-x² and The line. 4=8-Zx.

A: Sketch the two curves From the graph, we observe that both curves intersect at x = 2 and x = 4.

Q: Explain why the two forms of Green’s Theorem are analogs of theFundamental Theorem of Calculus.

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Q: 2Skelch Fue X:० ८७८ Seqion bounded by X=y 4:3 2 cind

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Q: Evaluate the integral į (1 – x– 4x° + 2x*)cx using multiple-application trapezoidal rule with n = 2

A: Given, fx=1-x-4x3+2x5 The trapezoidal rule to approximate the area:  ∫abfxdx≈∆x2fx0+2fx1+2fx2+2fx3+.…

Q: At what wräluer of * id fG)= メ-メ-2 ズ- 4 discontinuous?

A: The function will be discontinuous if the denominator is 0.…

Q: O Find Valume bounded by %3D

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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: uclear D FIND THE CRITICAL VALWE Za2 THAT jve, ed CORRESPONDDS WITH 80%, CONDENCE DEVELa

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Q: The area bounded by the curve y = 14.x and the lines x = 4 and x = 6 above the x- axis is 364 square…

A: Area=∫ab(upper curve-lower curve)dx∫xndx=xn+1n+1+C

Q: EX: Show that the kelation ? >' is Partial oldering set of Por R-

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Q: Use the indicated substitution to evaluate the integral. Jese 63csc (7x)cot (7x)dx, u=7x 63csc…

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Q: dt 2) Estimate using the trapezoid rule (N = 2)

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Q: Use reduction formulas to evaluate the integrals ∫ 8 cot4 t dt

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Q: Use the Trapezoidal Rule to evaluate the integral fx-¹dx. 1 2|3 NIC 34 2

A: We have to evaluate the integral ∫12x−1dx by using the trapezoidal rule. Here, a=1 and b=2 And…

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: As shown in Figure 1, the volume (V) of liquid in a spherical tank of radius (R) is related to the…

A: V=volume of the filled water in the tank m3R=radius of the spherical tank mh=depth of the water in…

Q: The region bounded by f(x) = (x + 1)-³ and the x-axis on the interval [0, ∞) is revolved about the…

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Q: Find the antiderivative of the improper interval xe-x^2 from negative infinity to positive infinity

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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: What formula would be used to calculate the middle rectangle approximation of Söy x +2dx using four…

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Q: In (xle)secx (2- sec²x) ha sec(3A – x) Ju"du? What should be the value of A for dr to be integrable…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question . If you want more to…

Q: y = Vx - x² - re sen /x

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Q: Find dy by implicit diffentiation: %3D

A: Given,           xy=1+x2y

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

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Q: Each rear tire on an experimental airplane is supposed to be filled to of 40 pounds per square inch…

A: a) value of k: Given density function: f(x,y)=k(x2+y2), 30≤x≤50, 30≤y≤50 Consider,…

Q: How many subdivisions should be used in the trapezoidal rule to approximate S with an error whose…

A: Trapezoidal rule is an integarl used to approximate the area under the curve by dividing the area…

Q: 4) Show that the circumference of the unit circle is equal to 1 1 dæ (an improper integral) x2…

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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(-+

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