u(x, y) = e*cosy + x² – y² finde the harmonic utilities

Q: 7. y = y5 +6y* +35x³ –5x² –100 8) y= /2x

A: We have to find the 3rd derivative of given functions.

Q: Integral Calculus: Trigonometric Function (3

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Q: 5. Evaluate f V2x + 1 dx. (2x + 1)/2 + C a. 3. b. (2x + 1)/2+ C c. (2x + 1)/2 + C d. (2x + 1)/2 + C

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Q: 2 Vy x+j Q3) Evaluate triple integral S dz dx dy х-у

A: We can solve this as follows:

Q: Determine if the given series is convergent or divergent. (1 – 2n²)" Σ 1. n2n n=1

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Q: nd the derivative/s of the given item. Final answer should Find if yvx- 8 = xy + 2 %3D dx

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Q: The antiderivative of [Vx-25 dx is V x2 - 25 - sec-x+ C. A True B False

A: Given: I=∫x2-25xdx     As we know from the trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: d -sin 6 if0 is given as dx What modifications would have to be made to find the derivative an angle…

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Q: y In x – x In y = 4, y' y In (x² + y² )= 2 arctan 2) = 2 arctan y'

A: This question can be solved using the concept of differentiation of implicit function.

Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

A: This can be done as follows:

Q: -+inf In(tan¯1x) 1+x2 1

A: ∫1∞ln(arctan(x)1+x2dxSubstiute u=arctan(x)→dudx=11+x2→dx=(x2+1)du=∫ln(u)duIntegrate by parts…

Q: + inf 1 п2 — Зп + 2n n=3

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: 1. Identify the indeterminate form and evaluate lim (sin x)tanx x-

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Q: What is the shortest distance from the point (4,0, 5) to the sphere (x – 1)2 + (y + 2)2 + z² = 36?…

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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: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

A: First convert it in standard form then find intigrating factor and then solve..

Q: x² - 25 The antiderivative of - dx is x2 -25 - sec-lx+ C. A True (B False

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Q: +0 (2х — 1)" n V4n + 1 n=0

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 3 cos(t)i+4 sin(t)j+ tk;…

A: Answer in the box are correct

Q: (-1)" (2n+1)! Given: sin x = En=0 x2n+1 for x e R 100 What is the exact value of the sum 2n=0…

A: The series given is: sin x=∑n=0∞(-1)nx2n+1(2n+1)!, x∈ℝ...(1) To find the exact value of the series…

Q: + inf 1 Σ п2 — Зп + 2 n=3 W

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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: m m 2m + 1. m=1 т m 2m + 1 m=1 Do the following converge or diverge?

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Q: The temperature (in degree Celsius) at a point (x, y) on a metal plate is given by a function T(x,…

A: T=Tx-yTyTo Find:a. Suppose T(4, 6)=320C and Tx(4, 6)=20C. Use the linearization of T at (4, 6)  to…

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

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Q: Calculate the following limit: lim,→4 4 x-4 O -1/16 O4 O -4 O does not exist

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Q: Using homogenous differential equation determine the particular solution of

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Q: Evaluate the integral 2x 4)

A: ∫1e2x-452dx=∫1ex2-452dxSubstitute…

Q: Sllerch the graph of the 18r=4sine given polacequations

A: Given

Q: In Sx-/25+> 25+ x2 dx , we let x = 5sine. (A True B False

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Q: Find the complete solution of the differential equation using separation of variables dy 2х + 2ху?…

A: Given

Q: Here is the given, ∞ (x-2) n=1 Vn2+ 9 (9.) Show that the series conveges conditionally when x= 1.…

A: The given series is: ∑n=1∞(x-2)n9n2+9=∑n=1∞(x-2)n3n2+1...(1)

Q: Using homogenous differential equation determine the particular solution of xy?dy - (x³ + y³)dx = 0…

A: differential equation

Q: O E. The series converges for p> (Simplify your answer.)

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Q: Q3) Evaluate triple integral dz dx dy.

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Q: +0 (-1)m cos(b) = S-1)" -b2m (2m)! for all be R m=0 Given the integral of J cos² x dx, express it as…

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Q: 4. E+sec"x+1\dx

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we…

Q: 1.5 3-X Evaluate the integral *dy dx using polar coordinate

A: Follow the procedure given below.

Q: 8. 6x° cos (x³) dx

A: ∫ x8cosx3dx

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: Description Evaluate the volume of the solid generated by revolving the plane region about an axis.…

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Let slx) = tan X %3D 3, ind ) tanx dx using Lebesgue in tegral.

A: To evaluate the integral.

Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

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Q: f(x) = x²+2x+1 g(x)= x+3 Set up the integral to find the area between the two curves. 1 -3 -2 -1

A: We have to find area bounded by the given curve.

Q: xdx S- can be solved by either algebraic subsitution or integrataion by parts. X-1 A True B) False

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Q: O Fnd the pemainders when @ x³ - 2xx +5x +8 is divided by x-2, (b) x+ x -9 s OC +1 dwided by is…

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Q: 2. Evaluatef dx. A. x+ C В. х C. -x + C : Antidifferentiation D.-x 3. Addition: Subtraction as A.…

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

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Q: V. Let f(x) be a differentiable function such that for all æ > 1, • f(x) > 1, • f'(x) < f(x) and lim…

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