Consider the following functions. f(x) = ²/₁ g(x) = 3x + 12 Find (fog)(x).

Q: 12. Determine the equation of the line tangent to the curve y = 4 = 4(x + 2)²; at the point (4,36).…

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Q: Laplace Transform Determine if the following functions are of exponential order (show complete…

A: 1) t3 sin(2t) 2) 1000 e2020t.

Q: e demand function for math self-help videos is given by 55 -0.2x, and the total cost function to…

A: Given query is to find the marginal profit at x = 20.

Q: y (3x² + y²) dx + x(x² + 3y²) dy = 0

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A: The objective of the question is determine volume of the given bounded curve.

Q: What rational function satisfies these conditions? lim f(x)=10 (x-->3), lim f(x) =2 (x--->…

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Q: 1. (2xy-3x²) dx + (x² + 2y) dy = 0

A: Given 2xy-3x2dx+x2+2ydy=0

Q: 2x + 3y - 1) dx + (4x +6y + 2) dy = 0 Give the: a. homogeneity b. degree c. reducible…

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Q: What single deposit of size $X into a fund paying 5% compounded annually is required at t=0 in order…

A: What single deposit of size $X into a fund paying 5% compounded annually is required at t=0 in order…

Q: 44. Suppose that f(4) = 2, g(4) = 5, f'(4) = 6, and g'(4) = -3. Find h'(4). (a) h(x) = 3f(x) + 8g(x)…

A: Simply use differential formula and we can easily solve it Please see the solution Thanks

Q: ite the function, y = x², after the following transformations: Reflect the function about the…

A: Given query is to find the function after performing transformation.

Q: f(x)=xsin(x)/1+x. Find f'(pi/2).

A: Given query is to find the derivative.

Q: Let f(x)=xsin(x)/1+x. Find f'(pi/2).

A: We can find the answer in the below steps.

Q: original variable. (4)/2√2-1 (a) y³ (b) √ (y² + 1)³ dx dy (c) (d) [²v S Cπ/2 ¹ √1+e-x ex π/4 cotx dx…

A: The objective of the question is evaluate the indefinite integrals .

Q: Use the function and the accompanying figure to answer the following questions. a. Is f defined at x…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: 2. Determine dy/dx of the following equation. y = a. C. dy dx = dy dx Cees || ees e2 ee² e O b. dy…

A: See this solution in below.

Q: 3. A certain bacterial culture grows at a rate proportional to the number of bacteria present. If…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y = ((x³- 2)/(x³ + 1))³ dy/dx =3( x³-2/ x³ +1 )² × [ ( x³ + 1)3x² - (x³ - 2) .3x²/ (x³ +1)² ] dy/dx…

Q: Use a local linear approximation to approximate the value of 6(1.99)2 +3.02 by a rational number.

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Q: Find the average rate of change of the function over the given interval. f(t) = 13 + cost a. T, b.…

A: The given function is; f(t)=13+cost a) [- pi, - pi/2] b) [0,2pi].

Q: 3 dx - (3xsiny + 2ysiny-2) dy=

A: Let's solve given differential equation.

Q: let 3x² - 6x +9 (x² + 9) (x-3) - Ax+ B x²+9 + C x-3 Find A, B and C

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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Q: 0.016t The population of a town is increasing at a rate given by P'(t) = 34 e where P is the…

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Q: = Find the equation of the curve for which y" 4x³ - 2x and which passes through the point (1, 2)…

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Q: 1. y=x²(x-1) at the point (2,8).

A: find slope Given point ( 2 , 8 ) for x = 2

Q: Find the derivative of the following functions. Whenever possible, express answer in factored 3.…

A: y=(x^3-6x)(2-4x^3) apply product rule y=uv dydx=udvdx+vdudx

Q: Q3. Differentiate f(x,y) = xy² + √x+y² 2 1/1

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Q: Eliminate A and B from x = A sin(wt + B). w being a parameter not to be eliminated. Ox"+w^2x = 0…

A: To form the differential equation.

Q: y=3e^x + 4/∛x *differentiate the function.

A: Topic:- derivatives

Q: Compute the partial derivatives: ?х 8z dy || 8x

A: Given that , z=8xx2+y2 find the partial derivatives.

Q: f(0) =2, lim f(x) = 2, lim f(x)= lim f(x) = ∞o, lim f(x)= ∞o, and lim f(x) = -00 X4±8 x+37 x-3* X-3+…

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Q: Find the general solution of y'=ysinx

A: Given, y'=y sin x

Q: General solution 1. y = cx+c²+1 2. y² = 4ax 3. y = 4 + ce³x dy dx Answer (ODE) y=xy' + (y)² +1…

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Q: 10. S π/2 cos x dx (sin x)√√sin²x-(1/4)

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Q: List the first five terms of the sequence. a₁ a2 a3 2 a4 a5 = || || || || = = = = a₁ = 12, an +1= n

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Q: Black pink held a concert in moa arena. the vip ticket sold 15$. Lower box ticket were sold for 10$.…

A: NOTE: Refresh your page if you can't see any equations. . x=number of VIP tickets (each sold for…

Q: Find the dimensions of the rectangular dog park split into two pens (sharing a fence ) of the same…

A: Let's find dimensions.

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: y = 8 tan 5x + 4 cos 3x + 11secx

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: A right circular cone with radius r and slant height I has surface area given by A = r² + nrl. When…

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Q: Find the function y = f(t) passing through the point (0, 10) with the given differential equation.…

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Q: Find an equation of the line containing the given points. Use function notation to write the…

A: Find an equation of the line containing the given points. Use function notation to write the…

Q: 7. Determine all value(s) of the constant k so that the planes x+2y+3z = 4 and 3x + (k²+2)y+(7-k) z…

A: We need to find values of k.

Q: 3. xlny + ylnx = 1 a. y y || x Y + Y x² lnx-y y² ln y - x b. x # ( xlny+y y ylnx+x y = y ln x - x ln…

A: We need to find y'.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

A: limx→ -142x