Given the following functions, compute the composition (fog)(x). f(x) = 2x+8 g(x) = 3x - 6 Simplify your answer and collect like terms. Provide your answer below: f(g(x)) =

Q: Find the solution of the given DE. 10. +2²=2y√x

A: To find the solution of the given DE.dxdy+2xy=2yx

Q: Find the area of the shaded region. 249 09 HAH प्द A B 32 3 128 3 64 3 32 6 8 10 y=√√2x y=x-4 X

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Q: 4. Let In = f cos" xdx. Show that: In = 1 - Cos' n on-1 x sin x + n-¹ In-2, n ≥2. n

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Q: dx 2. Evaluate the improper integral Sª Why is it an improper integral? (x - 1)² 3. Find the arc…

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Q: Find the domain and range of the relation Provide your answer below: domain: range: {(0, -3), (-7,…

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Q: Solve y = (1 + y) sec (x) + tan (x) a. y = (x + c) [sec (x) + tan (x)] b. y = (c x) [sec (x) + tan…

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Q: (e) Find equations of the horizontal and vertical asymptotes of the graph of f(x). HA VA:

A: Given query is to find vertical and horizontal asymptotes.

Q: Find ||7e – 4f||, assuming that e and f are unit vectors such that ||e + f|| = √√. (Give an exact…

A: We have given that....... e=1, f=1 Since,           e+f=32 ,  we have                32= (e+f).(e+f)…

Q: A closed box is in the shape of a rectangular solid with dimensions x, y, and z. Suppose each…

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Q: d) f₁ | 5 f(x) dx = = C

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Q: The sales of a new high-tech item (in thousands) are given by the following function, where t…

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Q: Find (gof)(-2) if f(x)+x^2+3 ; g(x) 2x-5

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Q: direction: find the indefinite integeal   x-3  / x^2 + 1

A: Given query is to find the integral.

Q: Solve (1- + xp z_(hx [y² + x² (1 1)-2] dy : dy = 0 xy)

A: We have to solve the given differential equation.

Q: 4. Use two different methods to solve the following problems. (If it's possible) a. fx(x² + 1)² dx…

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Q: Graph the curve. 4e cos(t), y 4e'sin(t), 0 stsn

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Q: Find y" by implicit differentiation. 4x³ + 3y³ Зу3 = 4

A: Quotient Rule of differentiation : ddx(uv) =v.dudx-u.dvdxv2.

Q: Find the solution of the given DE. dT 8. +0.0697=2.07;7(0) = -30 dt

A: Topic- Differential equation we are given, dTdt+0.069T=2.07 ,T(0)=-30We know that,linear…

Q: If f(x) f'(x) = f'(4) = = 4 sin x 3 + cos x " then

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Q: Calculate the first, second, and third derivatives of y = 8 - 4x. (Use symbolic notation and…

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Q: 1. Given f(x, y) = x³y − 3xy + y² – 1. (a) Find the critical points of f. (b) Use the Second…

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Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

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Q: 1 lim x-2x-2 4 x² - 2²

A: Given query is to find the limit of the expression.

Q: (a) Draw the vectors a = (4, 3), b = (2, -1), and c = (9, 1). y 10r 10 5 5 p po kap -10 5 -5 5 10…

A: (a)  to draw the vectors a=(4,3)   b=(2,-1)      c=(9,1)

Q: -3x Let G(x)=x2-9 A. Factor the denominator. B. State the domain of G(x). C. Determine the…

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Q: Solve 3xy + y + x²y¹ = 0 (x² + cx) y³ = −1 (y² + cy) x³ -1 a. b. - c. (y² + cy) x³ = 1 d. (x² + cx)…

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Q: Evaluate with the Simpsons rul

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Q: g(x) = x² - 2x x² - 4x +4 5 x² - 2x - 8 x2 − 5x+6 , x 2

A: g(x)=x2-2xx2-4x+4    , x<25                 ,x=2x2-2x-8x2-5x+6      ,x>2

Q: b) For the curve 2² - 4ry² = y³ +9, do the following:

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Q: Enter an exact answer. Provide your answer below:

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Q: Problem 3. The number of giant pandas in China at the beginning of the year 2000 was 9205. The…

A: The net change theorem says when a quantity changes the final value equals the initial value plus…

Q: h(x) = (lx - 21 (4- 2x if x # 2 if x = 2

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Q: 2. Consider M(x, y) + N(x, y) = 0. (a) Suppose we can find a function F example of such an equation…

A: Given that Mx,y+Nx,ydydx=0

Q: 1. Center at (-3, 9), a vertex at (-6, 9), and conjugate axis of length 8. 2. Asymptotes at y =…

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Q: Find the equation of the tangent plane to the surface f(x, y) = x² + y² at point (3, 2, 13). 6x + 4y…

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Q: 4. The point at which a company's costs equals its revenue is the break-even. C represents cost, in…

A: We have given cost and revenue function  C=15x+12,000 R=18x-6000 Profit function is given as P=R-C…

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Q: Find the derivative of y with respect to x. y = 4x2 sin -1(4x2) + √1-16x4 dy dx 11

A: Given, y=4x2sin-14x2+1-16x4 Find dydx

Q: For this discussion post, I will ask you to sketch some graphs that meet a limit condition and…

A: To be found - Sketch of different functions with given conditions. Topic - Function, limits &…

Q: A company manufactures two types of athletic shoes, jogging shoes and cross trainers. The total…

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Q: estimated

A: Given: P(t) = 13.86t0.535 Where, P(t) = percent of the population t = time in year since 2011

Q: Find g'(3) given that f(3) = -2 and f'(3) = 4. a. g(x) = 3x² – 5ƒ(x) 2x + 1 b. g(x) f(x) . . e

A: Solution is done in steps

Q: Find the solution of the given DE. 2. y' + 2xy = 2x³ ;y(0) = 1

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Q: 3. Use algebra to calculate the limits in parts (a) and (b) exactly, giving your answers as exact…

A: Given :(a) limx→4x2+2b limx→-3x2-x-1211x+33(c) limh→0h+16-4hd limx→0+xx

Q: 6. Area of a Region between Two Curves. a. Determine the area of the region bounded by f(x) = (x −…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: [₂ (1-x-4x³. -2 •3 0 0 (1 − x − 4x³ + 2x5³) dx (5 + 3 cos x) dx 3 x² ex dx

A: Given that  some integration and we solve these integrations by using general property of…

Q: Find the solution of the given DE. 6. y'+²y=-x³y³; y(-1)=2 .

A: y' +2xy=-x9y5

Q: Problem 8. (a) / e sin (x) (b) (x+3) ln (x) dx 2 (c) :) Lot (In (In (x))² dx Calculate each of the…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: f(x) = √√√x-4 8- 2x if x ≥ 4 if 4 > x

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Q: Solve the Bernoulli differential equation 3(1+x²) y = 2xy (y³ - 1)

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