f(x,y) = 5 + Vx – y² +4

Q: (b) S 3x5V1 – 2x³dx -

A: Given,              ∫3x51-2x3dx

Q: 8. [sin? x cos' x dx Ssin*

A: (8). Given: I=∫sin2xcos5xdx   As we know from the trigonometric identity; sin2x+cos2x=1 And The…

Q: Using Lagrange multipliers, find three positive numbers whose sum is 6 and such that the sum of…

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Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Change of order.

Q: 3. (sin0 + cos€)²d0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate: x2 1. dx (x²–25)7 5

A: LetI=∫x2x2-2552dxI=∫1x2-2552x2dxApply integration by…

Q: хах can be solved by either algebraic subsitution or integrataion by parts. x-1 (A) True B) False

A: To determine whether the given statement is True or False.∫x dxx-1 can be solved by either algebraic…

Q: 5. y = Arctan²(x³) 6. y = Arccos (

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Q: Use the properties of logarithms to expand the following expression. log Each logarithm should…

A: This question is related to logarithmic properties, we will solve it using given information.

Q: find the derivatives with use of trigonometric functions 4 y = sin 2xcos' 3x tan 2x y = 1- cot 2x 3…

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Q: (2.) (1-(In))^ (3.) yn + sin ()

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Q: Problem solving: 1. What is Ax in this expression? 72 4 lim (3+ - 7200 i=1 4i C. : 41 D. A. (3 + )*…

A: As per guidelines, I can answer maximum one question and three subparts of a question. Since you…

Q: lim (sin r)tan z T/2

A: Given problem :- Identify the indeterminate form and evaluate limx→π-2sinxtanx

Q: Write the integral that would be used to find the area of the region bounded by x = 1, y = vx and y…

A: Given: y=x, y=-x+6, x=1   From the given curves and line the bounded region is as shown below; Now…

Q: (-1)" V2n2 + 5 n er series (x + 1)" n=1

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Q: 2. If a function f(x) is differentiable at x-a, then function f(x) is continuous at? А. X-а В. х-х…

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Q: Given: a, = In(n + 1) – In(n) for n E N || Determine if the following is convergent or divergent.…

A: Given  an = lnn+1 - lnn for n∈ℕ.

Q: 3 Figure 1: Graph of f 4. Each of the following is true EXCEPT: lim f(r) = 0 c. lim f(r) = +o∞ a.…

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Q: x² +64 Using trigonometric substitution, given dx, the simplified form of the integral is= sec ede…

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Q: In a certain year, 89% of all Caucasians in the U.S., 75% of all African-Americans, 75% of all…

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Q: QI) Evaluate the integral dy dx using polar coordinate

A: To evaluate the given integral using polar coordinates .

Q: dx e2x – 3e* 1.

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Q: Osyt . yrosx

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Q: 10. Calculate the area of the shaded region bounded by the curves y = 1+4cos'x and y=-sinx, as…

A: From the given figure to find the area enclosed by the given region is bounded by the above from…

Q: In(arctan(x)) da 1+ x² 1

A: Given that a integration and we solve this integration by using general formula of integration.…

Q: A rectangular poster is to contain 338 square centimeters of print. The margins at the top and…

A: Here we have to use the concept of derivatives.

Q: 4. A1 y = 2x 2+ A1+ A2 = A3 1+ y= x2 482

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Q: (-1)"-1"

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Q: 2m – 2 2m ΣΗ т+ 1 т + 21 m=2 Is it divergent or convergent? 8.

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Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: Find the solution of the corresponding inhomogeneous system of equations: z+y+ 2z = 8 z+ 2y + 2z 2z…

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Q: 1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

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Q: If f(x)=sin(sin x) then f'(0) is .. Jika f(x)=sin(sin x) maka f'(0) adalah ... 1. O -1 2. O 1 3. O 0…

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Q: Evaluate

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Q: 6a2 + 23.x – 9 The antiderivative of f (a) = is F (x) = a ln (æ + 3|) + bln (lal) +d In (r – 1|) +C…

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Q: ine whether the following series 3- Vn

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Q: Let function f interpreted as a picture below. True statement for function fis ... Pernyataan yang…

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Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1

A: Radius of convergence of a power series of the form ∑n=1∞anx-an  is given by R=limn→∞anan+1 For…

Q: ( 3x2 + 1, { if r 3 а. —8 b. -18 с. 18 d. does not exist

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 9 and such that the sum of…

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Q: Ssei'x C tan'x t1) dx 3. X.

A: According to Bartleby guidelines I can only answer the first question of the given two. please…

Q: A model created by an engineer is represented by the following multivariable functions w = reyz x =…

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Q: let k be a positive real number. Then f(x)= squareroot of k^2-x^2 is continuous on the interval: a)…

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Q: I. Evaluate the following integrals. 1 1. d.x ¤(9 – In² x)5/2'

A: Given problem:-

Q: ] Using the alternating test, determine whether it converges or diverges

A: Answer and explanation is given below...

Q: 0 e1/x dx

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Q: 1 Given the function g(a, b) = g(a, b) where suppose m %3D a²b+b a = cd b = c3 + 6d %3| дт The task…

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Q: Given the series, is it convergent or divergent? (5-4(In n))" %3D2 3n (V5-In n)"

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Q: at is the area enclosed by the curve r = 2 cos 36? wer is in square units. Use two (2) decimal…

A: To find the aera.

Q: If u + v + w = 0 and Ju = 3, |v = 5, |w| = 7 then the angle between u and v is O 21 3 O 5n 3 O None…

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