Apply integration by parts: S udv - S vdu = uV sin2x – cos2x dx sin2x + cos2x

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: Rewrite the following expression in terms ofu with u > 0. Tha the expression in terms of u without a...

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Q: Evaluate: dt A 4e*+C B +C +C 4 C D pert +C 4 E None

A: Topic:- integration

Q: Give what is being asked. + g(x)|dæ, if g(x)dæ = 3? What is the value of 3

A: The integral is  ∫06 13+g(x)dx and ∫06 g(x)dx=3

Q: sin 4x What is lim X-0

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Q: To evaluate Je ?" sin(e²^) cos(e²«) dx, we let u=e A True B) False

A: Integration true or false

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: The sum of the bases and altitude of a trapezoid is 36 inches and the base is 6 inches longer than t...

A: We need to find dimensions of trapezoid.

Q: Q5: Find the domain and range for:- (Answer two only) (1) F(x) = V5x + 10 (2) F(x) = 1+ x? x2+1 (3) ...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: is continuous at x=3, f (-1) =6 ? + a, x # 3 3b, x 3 ontinuous at x=2? - x > 0

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Q: alignment at x² + x – 1 limx→ 2x2 — х + 1 has a horizontal at???

A: Topic = Limits

Q: 3 х 1 (x² – 1

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Q: tan(tan3x) dx S cos²3x Evaluate: In [sec (tan3x)| +C A 3. B -In |cos(tan3x)|+c [cos(tan3x)| +C © --I...

A: ∫tan(tan3x)cos2(3x)dx∫sec2(3x)×tan(tan(3x)) dxSubstitute t=tan(3x)dt=3sec2(3x)dxdt3=sec2(3x)dx

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: Give the degree and leading coefficient of the following function: f(x) =2x2 (4- 3x-5x3)

A: Given query is to find the degree and the leading coefficient of the function.

Q: c =

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Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² (a) The sale of how man...

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Q: tan(tan 3x)dx cos? 3xl

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Q: 27 dx 1 - 8 ,3 II

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Q: Set up, but do not evaluate, an integral for the length of the curve. x = 8 sin(y), 0 sys " 2

A: Given: x=8sin(y), 0≤y≤π2

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about * = xo and then find the nth Taylor...

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Q: flIth)-f(1) find lim.

A: Given query is to find the Indicated expression.

Q: A dancing contest has 11 competitors, of whom three are Americans, two are Mexicans, three are Russi...

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Q: Given the differential equation dy 10 + 15y = 5x dx Find the values for Q and u. Q = 2 A Q = -x В 3 ...

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Q: ekt kdt, where k is constant k A True B) False

A: B) False   

Q: dy Find dx if y = x (log2(x* – 4x))° dy dx ||

A: Topic = Derivative

Q: Use Newton's method and find an approximation for the root of the following function accurate to wit...

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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: Evaluate the following improper integral. Give an exact answer. (Remember, the natural exponential f...

A: Topic:- definite integration  

Q: Find the volume of the described solid S. The solid S is bounded by circles that are perpendicular t...

A: Given

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: Use tables to evaluate the integrals. You may need to complete the square or change variables to put...

A: Topic:- integration

Q: Given the combined differential operators for a given differential equation (D + 7)³ (D – 2)(D + 1) ...

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Q: Felow are the polar coordinates. Find the Cartesian Coordinates. 5, 2

A: Topic:- coordinate system

Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 – 2x2 – 4x + 1, [-1, ...

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Q: Question 2: Differentiate the functions by using product or quotiem a) f(x) = (2 – 3x²) · e* %3D Зx+...

A: f(x)=(2-3x2)*ex=ddx(2-3x2)*exWe know that (uv)'=u'v+v'u=ddx(2-3x2)*ex+(2-3x2)*ddx(ex)=(0-3*2x)ex+(2-...

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y, z) = 2x + 2y...

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Q: Determine if the given function is continuous at 3. * ( x + 7 |x – 2| f(x) = { x? – 2x x 3 9x 2х — 3

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Q: 2. Σ--1)k , k%3D k+1

A: The given sequence is ∑k=0∞-1kkk+1

Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: sec-dx 3 - 3 In sec – + tan- + C | 3

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Q: 'x + 7 |x – 2| f(x) = { x² – 2x x 3 9x 2х — 3

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Q: The vectors u = (-7, 1, -2) and v = (-28, x, - 8) are parallel if and only if x = - 212 %3D Select o...

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Q: 1. Kgothatso showed her classmates that dx%3D (x- 1) Without showing Kgothatso how you would evaluat...

A: 1.AgreeGiven Integral can be evaluated with the formula :∫yndy =yn+1n+1here y =x-1 , n=-23   

Q: Use appropriate Lagrange interpolating polynomial for the following table and approximate f(1.5) Xi ...

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Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c ...

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........

Q: Integration is the reverse process of differentiation.

A: Given,            Integration is the reverse process of differentiation.To find : State true or fals...

Q: Question Select your answer. On which interval(s) is ƒ(x) = 2 ln(x² +x – 20) continuous? (-00, –5) (...

A: Topic:- calculus  Note :- as per our guideline if more than one question uploaded than only first qu...

Q: dx 2+x?

A: Given, ∫dx2+x2 We have to integrate it.  

Q: x2 arctan x dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...