Find f[g(x)] and g[f(x)]. f(x)=√√√x+2, g(x) = 18x² - 11 f[g(x)] = g[f(x)] =

Q: as much as poss. dx = (x + 1)(x² +9)² 130 1= QUI Y JURISUO2 Kniam aun Jo 2 aso 'papaau ajaum suonoru…

A: We can use partial fraction method to calculate the integral.

Q: Consider the following function on the region described by the inequality. f(x, y) = 2x² + 3y² -…

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Q: What is the y intercept of the slope of the tangent line to the function f(x) = sin(7x) + cos(14x) +…

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Q: Evaluate the integral. ・/2 [ Зп 4 C 9 cos2(0) de X

A: Here we have to find the integral.

Q: Let A = 6.1 ag - 2.5ẩn and B = -2.9 ấg + 4ẩn given the unit vectors âg=0.6ây +0.8ây and ân =0.8ây –…

A: According to question,Given Vectors,A→ = 6.1 ag^- 2.5 ah^,B→ = -2.9 ag^+4 ah^ag^ = 0.6 ax^ +0.8…

Q: If find f'(x). = Find f¹(1). alt f(x) = 5a3. 7

A: f(x)=5x3-7x4f(x)=5x-7x4f(x)=5x-1-7x-4d dx(xn)=nxn-1

Q: -uppose that f(x) ='(2) = ='(5) = -9x¹/6. Evaluate each of the following: == -

A: Given query is to find the Indicated derivative.

Q: Find g'(3) given that f(3) = −2, f'(3) = 4, and g(x) Answer: ▶ = 2x+1 f(x)

A: INTRODUCTION In calculus, the quotient rule is a formula for finding the derivative of a function…

Q: Find the radius of gyration of a plate covering the region bounded by y = 3x³, x=2, and the x-axis…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Determine if the limit lim 110 4 sin 2r - 2x Т xists, and if it does, find its value. 1. limit = 6…

A: The given limit limx→04 sin2x-2xx. We have to find the given limit.

Q: Find the curvature of the curve r(t) = (4t, –tª, −4t²) at the point t -1. Give your answer to 2…

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Q: A hoist mechanism raises a crate with an acceleration (in m/s2²) a ) a= 1 +0.5t, where t is the time…

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Q: Find -²-4y² +3 2 lim 2 (x,y) (4,3) x +y +4

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Q: By considering different paths of approach, show that the function has no limit as (x,y) →(0,0).…

A: The given function is: fx,y=-xx2+y2 Find the limit as x,y→0,0 along the path y=x for x>0

Q: Use algebra to evaluate the limit. (1 + h)² − (1 − h)² 2h lim h→0 i |

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Q: Solve the initial value problem. d²y y = જર = 3-e²t, y(1) = -2, y'(1) = 4 ...

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Q: can you please solve ( i) ?

A: The given data is: To show that the given relationship is true: i) sin2x=121-cos2x

Q: Need the answer to both questions asap

A: Answer to the first question  ***Figure 3 is matched

Q: Let ū = ( – 1, 5, 2) and i = (3, 5, 1 (a) Find u. v: ū• v = (b) Find the magnitude of the vectors…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the following function. Find the following derivatives. fx(x, y) = fy(x, y) = fxx(x, y) =…

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Q: Evaluate the integral. In 9 Se ex In 5 dx

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Q: Evaluacate using 827×516-4

A: log[a×b]=loga+logb

Q: An object thrown vertically upward from the surface of a celestial body at a velocity of 49 m/s…

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Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: Use substitution to find the Taylor series at x = 0 of the function 14 sin (-x). What is the general…

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Q: a= Graph f(x) = ax for a = a = 1, and a = 9, all on the same set of axes.

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Q: The following figure shows the discharge rate r(t) of the Snoqualmie River near Carnation, Wash-…

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x + y - xy, D is the…

A: The given function:fx,y=x+y-xyThe closed region D is the closed triangle region with vertices 0,0,…

Q: At noon, ship A is 120 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing…

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Q: AB5: Evaluate [g(x)]²g'(x) dx.

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Q: zw zw In the one-dimensional wave equation, c, wave height is represented by w, x is the distance…

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Q: The population of a slowly growing bacterial colony after t hours is given by p(t) = 3t² + 26t+200.…

A: Given query is population growth after 4 hour .

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

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Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

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Q: 2. If r(t) = ti + cos(t)j + sin(t)k, evaluate (a) frit r(t) dt, (b) r' (t) (c) the parametric…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Determine whether the integral is convergent or divergent. 2 172² 17z² convergent divergent X In(z)…

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Q: Let f and g be functions that satisfy f'(2) = 6 and g'(2) = 5. Find h'(2) for each function h given…

A: It is given that    f'(2)=6g'(2)=5

Q: Consider the curve f(x) = x - x³. (a) Find the slope of the tangent line to the curve at the point…

A: To find the slope and equation of tangent line.

Q: Let a = (- 5, 1, — 4) and 6 = (-3,-1, - 5). Find a × b. - (Enter your answer as a vector of the form…

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Q: Solve the following differential equation. Show your complete solution y' = x-4xy

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Q: Let à = (-1, 3, 2) and 6 = (1, 5, 2). Find a x b. Question Help: Video Calculator Submit Question

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00…

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Q: Let f(x) = 2x³ + 1. a) Find f(x+h): 2(x+h)³ +1 b) Find f(x + h) − ƒ(x): h(6h² +6xh+: 2h²) c)…

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Q: Find the left hand and right hand derivative of the function.  f(x) =absolute value of x^3  at the…

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Q: Find the derivative of f when 2- sin r f(x) cos a D 1. f'(x) 2. f'(x) 3. f'(x) 4. f'(x) 5. f'(x) 6.…

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Q: Let à = (1, — 5, 5) and 6 = (-4,- 5,2). b Find the projection of b onto a. proj b =< Question Help:…

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Q: Find T and N for the space curve, where t> 0. r(t) = (9 cos t + 9t sin t)i + (9 sin t - 9t cos t)j +…

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Q: Find Position, Velocity and Acceleration Vectors Given the vector function r(t) = (4t, −3t³, 5t¹ +…

A: r→(t)=4t,-3t5,5t4+5v→(t)=r'(t)a→(t)=v'(t)d dt(tn)=ntn-1

Q: What is the solution of (2x-y)dx + (4x+y-6)dy = 0? A. (x-y+3)2 = c(2x+y-4)3 B. (x+y-3)3 =…

A: The given equation is; (2x-y)dx + (4x+y-6)dy =