Given that f(x) = 6x − 2 and g(x) = 8 - x², calculate (a) fog(-2)= (b) go f(−2)=

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Q: Evaluate the following integral if R = [0, 1] × [0, 1]. J JR 7yexy da

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Q: Find the general solution of the differential equation: y'+2y = xyz. Use lower case c for the…

A: Given differential equation y' + 2y = xy52

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A: Given query is to find the type of discontinuity.

Q: Find the average value of the function on the given interval. g(x) = 3 cos x, ㅠㅠ 2'2

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Q: what is the asnwer?

A: S={1,2,3,4,5,6} T={1,2,3,4,5} , How many functions from S to T exists.

Q: (a) Find the parameterized equations of the line passing through the points P(-2, 4, 5) and Q(2,…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 3. The function f(x) is given below as a piecewise function. Find ƒ(2) + ƒ(6). + 2 x > 3 x = 3 x < 3…

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Q: 2. From 2007 to 2014, there was a dramatic increase of smartphone sales. The number of smartphones…

A: Given:- The number of smartphones in millions sold to end users from 2007 to 2014 is modeled by the…

Q: Consider the points A, B E R³ A = (– 1,2,5) and B = (1, 3, 4); determine a parametric formulation of…

A: Given A = ( -1 , 2 , 5 ) B = ( 1 , 3 , 4 )

Q: The median home value in Delaware and Massachusetts (adjusted for inflation) are shown below. Year…

A: The general equation of a linear trend is given by y=mx+c   We will use the above concept to find…

Q: The height h (in feet) of an object falling from a tall building is given by the function h(t) = 400…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple…

Q: Find the derivative of the function in SORE SHOT SA GOE 4-6+ UNSER 21+ hon f(x) = f(x+h)-f() G`() =…

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Q: a) r = 2cos50 Name of the graph: Table of r = 2cos50

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 16 cos(t) +…

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Q: Given the graph of f’ (not f) is given. Find the marked values of x : (a) f(x) greatest, (b) f(x)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Use the Substitution Formula, f(g(x)) • g'(x) dx = f(u) du where g(x) = u, to evaluate the following…

A: Given integrals: a) ∫01t25+11tdt b) ∫121t25+11tdt

Q: Set up but do not evaluate the integrals to find the average value of f (x,y) on y ≤ 4-x² and y ≥…

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Q: -d 23 X 2 9+хо dx

A: Given integral:- ∫-∞∞23x29+x6dx

Q: Sand is pouring from a spout at a rate of 25 cc/s. It forms a cone whose height is always 1/3 the…

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Q: Now that we know derivative rules, we can leave behind the Limit Definition of the Derivative (but…

A: Here we have to find the equation of tangent line.

Q: 14-A population changes proportionally to the population at a given time. Find the half life of an…

A: Let P = population at any time t t = time k = constant P0 = initial population

Q: Evaluate the integral. (Use C for the constant of integration.) 5x+e³r dr

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Q: What is the difference between the function f(x) = function g(x)= x + 2? Graph fand g. x²-4 x-2 and…

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Q: Int dt

A: Given query is to find the integral.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) -([x]-6) 39 lim X-5" x

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Q: Find f'(x) and f"(x). f'(x) f"(x) f(x) = X +² 9

A: Given query is to find indicated derivative .

Q: The equation of motion of a particle is s = t³ - 12t, where s is measured in meters and t is in…

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Q: √* x²(lnx)² dæ 1

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Q: Evaluate the following integral. 0 S - In 2 cosh 2² (1) 2 dx 0 S |_ coon ² ()ax= cosh |dx - In 2

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

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Q: (14) ==√1 + + dx 11

A: Here we have to find the definite integral.

Q: Perform the indicated operation. Reduce to lowest terms. 2 -77 5t-35

A: To perform the indicated operation. 25t-35-77-t

Q: Find the following limit or state that it does not exist. x-15 √√x - √15 lim X-15 V Simplify the…

A: We can factories x-15 .

Q: Because of new patients, transplantations, and deaths, the number of patients recieving dialysis…

A: Given query is to find indicated limit.

Q: Line 1: x= 1+ 6t, y= -1 -3t, z= 4+ 3t Line 2: x= 4+ s, y = -10 - 8s, z= 3- 5s a) Determine whether…

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Q: 2 S² w² In w dw

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Q: The crown length of first molars in fetuses is related to the postconception age of the tooth and is…

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Q: (ii) d²y. 9 +y=2 di2 4 31 cos- y=20 with y(0) 2 " 3, dy (0) 2 dt -(0)=-1

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Q: 2 Use the definition of the derviative to compute the derivative of f(x) = at the specific point x =…

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Q: Solve the equation for 0 < < 2π. 0 = sin² 0 +2 - 2 cos 0 ○ {0} 0 (7,3,7) 6 ° {{} ° {}

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: Find the domain of f(x) √4x - 12 x²4x5 Write your answer using interval notation. Final Answer:

A: Solving the following problem

Q: Find the value of the constant b that makes the following function continuous on (-∞, ∞). (3x - 4 b…

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Q: 1. Consider the function f(x): (a) Complete the following tables. Enter at least 8 decimal places…

A: Given function is f(x)=cosx-1x

Q: What is the inverse of 28) f(x) = x + 6 29) g(x) = 3x -7 30) h(x) = 學 5 Ros

A: Introduction: “Since you have posted multiple questions, we will provide the solutiononly to the…

Q: 16 Let u(x) = sin(x) and v(x) = x² and f(x) = u'(x) = v'(x) = f'= u'v – uv' v² u(x) v(x) .

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Q: The curve through (2,8) is an inverse variation. Name another ordered pair on the line.

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Q: Topic 8. Limits What is the end behavior lim f(x) and lim f(x) for each function below? How many…

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Q: Given the equation tanx = 9siny - 2xy, find dx Answer by implicit differentiation. dv

A: Given equation tanx = 9siny - 2xy