У(x2 — у2 + 1)dх — x (х2—у2 — 1)dy %3D0 - -

Q: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: (29/x2 Evaluate the integral: -dx (A) Which trig substitution is correct for this integral? O x = 2 ...

A: To evaluate the integral: ∫29x2-4x4 dxA To determine which trig substitution is correct for this int...

Q: Determine whetherthe limit exìsts or not when a) xーヤ 3 and 6) x→-3 F(x) = 1 Vx?4 Wien x<-ろ Vg-x² whe...

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Q: 2. Σ--1)k , k%3D k+1

A: The given sequence is ∑k=0∞-1kkk+1

Q: et kdt k A True B) False

A: First we solve L.H.S then solve R.H.S . We use the formula integration of eat=eat/a

Q: 2x+3 (1) Find the domain of the function H(x)= x' -4x

A:

Q: )A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate prop...

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Q: e3x - 00 1+e3x –3 dx =

A: Given,            ∫-∞-3e3x1+e3xdx

Q: sinrdr In(cosr-3)c cosr -3

A: The objective of the question is evaluate the indefinite integral with suitable substitution.

Q: csc5x cot5x dx A csc 5x -csc5x B 3 -csc5x 3 D csc5x E None

A:

Q: Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 x"ea# dx = -x"eª* n ...

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Q: Solve the following differential equation. Finalize answer free of fractions and equated to y^n. 1. ...

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Q: 1. For the integral x³ + 8 dx a. Use the Simpson's Rule with n = 4 to approximate the value of the i...

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Q: Question Select your answer. The function below is continuous on which of the following intervals? [...

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Q: component form or standard basis vectors. Express numbers in exact form.

A:

Q: sec ~dx 3 In sec - + tan- +C 3 3 3 A True B False

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Q: Evaluate the integral of cosh2x(sinh 2x)^2 dx

A: ∫cosh2xsinh2x2dx  

Q: . If f = In(x² + y² + y³ ) then find the divergence of falso find its magnitude at 2 3)

A:

Q: dy dx + + 3y – 5x – e-t = 0 dt dt dx dy dt + x + y – 3 = 0 dt

A: Given: - The differential equation is, dydt+dxdt+3y-5x-e-t=02dxdt+dydt+x+y-3=0 To solve: - The solut...

Q: Let f(x) = 4e"+2 + e-3. | f'(0)

A: Question is solved.

Q: 4. Let F be a smooth vector field. Show that the flux of F leaving an infinitesimal cube of volume d...

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Q: At an exhibition, the probability of visitors on the first day is 3/5. The ticket price for a visito...

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Q: range of the function. (a) If f(x) = 3x + 4, find the image of 4. (b) If f(x) = 7x + 5, find the ima...

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Q: 7 1 dv = -7 V

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Q: Evaluate the integral and find a + ß+p-o (1+ tan x)dx cos? xV5 – 3 tan2 x va Sa 1 arcsin 1 tan x) + ...

A: Given

Q: Find the derivative of the function f(x) = V(a3 + 7x) by using the definition %3D of the derivative.

A: Let's find. 

Q: Calculate the iterated integral. r5 CT/2 (y + y2 cos(x)) dx dy -5Jo 120

A: Given query is to find the value of the individual integral.

Q: S125 – 2² 18x? Evaluate the integral: -dx 25 – x² (A) Which trig substitution is correct for this in...

A: ∫18x225-x2dx

Q: Find the arc length of the curve r(t) = (2t3/2, cos 2t, sin 2t) from t = 0 to t = 1. %3D

A:

Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y? + z...

A:

Q: What does P =

A: Intial polpulation =17000

Q: Expand $it) in Fourier series in the interva) (- 2, 2) when fit) = -2st <o %3D 1.

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Q: 3lnx +2x*dx A 3lnx B 2r4 | 3lnx + 2r4 D E None

A: To evaluate ∫e3 ln x +2x4 dx.  

Q: Find the derivative by use of definition y = 3x / sqrt 2x + 1 Please answer asap

A:

Q: sinrdr In( ou In cosr -3 cosr -3

A: Indefinite integral

Q: If F(x) = |"f(t)dt then by the -5 Fundamental Theorem of Calculus, we have F'(x) = f(x) Select one: ...

A: Given that Fx=∫-5xftdtTo prove :F'x=fxSolution if Fx=∫hxgxftdtF'x=g'xfgx-h'xfhxFx=∫-5xftdtF'x=1.fx-0...

Q: Calculate the Taylor polynomials T(x) and T3(x) centered at a = 8 for f(x) = In(x + 1). T2(x) = (r-8...

A:

Q: A cola vending company estimates that their cola will be consumed by people at a rate given by: C ′...

A: Topic = Algebra

Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost othe...

Q: 31 'dt = +C 3lnz A True B False

A:

Q: 4. Find the volume V of the solid obtained by rotating the region bounded by the given curves y = Vx...

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Q: Question 4 (sin(3t))^2(cos31)) dt

A: To evaluate the integral ∫sin23tcos3tdt Formula used: Power rule of differentiation ∫xndx=xn+1n+1+c ...

Q: 2 3 2 Q5. Evaluate the value of integral |[xy'z dx dy dz . 0 11

A: I have stated the used formula in the solution

Q: -In²(Ine*) dx

A:

Q: Find the horizontal intercepts of the function f(x) = 5|x – 1| – 6 The intercepts are at x =

A: Here we will find the x-intercepts of the given function,

Q: Given the differential equation dy 6x dx 3y = 8x Find the values for Q and u. 4 A H = e 3 B H = e ¯x...

A: Given:     Differential equation is            6xdydx-3y=8x divide both sides of equation by the mul...

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y) = y² – x² sub...

A: Let's find. 

Q: Q3:A| Prove that:- cos x 1) 1+sin x 1+sin x = 2 sec x cos x tan? x 2) tan? x+1 = sin x

A: topic - trigonometric identities

Q: Compute T2(x) at x = 1 for y = e" and use a calculator to compute the error |eª – T2(x)| at x = -1.5...

A: Find your answer below