Determine the domain and range of the following function. х-1 g(x) = V16–x²

Q: Given that lim f(x) = 2, lim g(x) = – 4, lim h(x) = 7 find the limits. Enter the exact answers. (a) ...

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others parts as...

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (mea...

A: we have given Q 

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A: 1) limx-1- Sin-1x 2)limx--1+ Cos-1x 3)limx-infinitytan-1x.

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A: Here, to evaluate: I=∫sin (ln x) dx...(1)  

Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: 5) Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal populati...

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Q: 1. y+ /x + y = 2x at ( 2, 2)

A: Follow the procedure given below.

Q: ソニqett 10 =50e-0,0357+ 5oe ○.2 ニe-0,0357ナ Inco.2)ニ =-0.3577 Tニ

A: y=aekt10=50e-0.0357tDivide 50 on both side1050=e-0.0357t15=e-0.0357t0.2=e-0.0357tapply ln on both si...

Q: Find for the following function. dx 4 sin x y = 9 -8 sin x dy dx II

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Q: Solve the differential equation (x² + xy² – x³)dx + (x²y – y³)dy = 0

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Q: 2 integrate by parts

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Q: CalculateS.

A: Here we have to calculate ∫02xe-xdx by trapezoidal rule n = 10      

Q: Solve the differential equation (xy – 6x²)dy – (2y² – 9xy)dx when x = 1, y = 1

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Answer is following ..

Q: Elimination of Arbitrary Constant: bxy +b*x+1=0;b is constant

A: We can find the answer as below.

Q: Classify the differential equation d y d'y + tan x %3D da3 da5

A: Follow the procedure given below.

Q: :. f(x) = vx – 1 at x = 5

A: Topic = Functions The given function is continuous and differentiable at x= 5.

Q: y'-5y= x'e* – xe* ito

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Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2, [...

A: We have to check if the function is continuous or not.

Q: 3. y'-5y =xe* –xe"

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³–2x)* 1. у- ; d'y/dx? 2. Y = (5x³ + 2)6 ;...

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Q: A straight metal beam leans against a building so that the angle between the ground and the metal be...

A: Given query is to find the length of the beam.

Q: Find the area bounded by the indicated equations. y = x 5, x = -5, x = 1, y = 0 В) 2604 15625 6 7813...

A: Given: y=x5, x=-5, x=1, y=0 The area of the curve by the bounded region is given by: A=∫x5dx Here, t...

Q: Find the period of the graph of y = - 2 sin O 67 01 O 3T O O O O

A: Given query is to find the period of the graph.

Q: Simplify the following expression using trigonometric identities. Your final answer must be a single...

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Q: 1. The flow rate of a fluid is described by F in units of kg/(m²-s). It is flowing through a membran...

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Q: Determine the domain and range of the following function f(x) = 3-x

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Q: Which of the following integral can be used to find the volume of a solid on the first octant bounde...

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Q: Examples: Find the limits of the following: 4. lim tanx tan"(-0) = - 2 5. lim secx = lim cos (-) = c...

A: Given:   Limit Equations is given

Q: 3. lim f(x) = -2, X-2 4. X-3 lim f(x) = +00, lim f(x) = 2 and f(2) = 0 lim f(x) X-3* %3D = -00

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Q: The graph of a function f is shown. 1 Does f satisfy the hypotheses of the Mean Value Theorem on the...

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Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5 si...

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

Q: Find the differential equation of the family of cuves and draw at least three members of the family ...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: Put f(t) = 200

Q: h(x)= cot r11- tan"x

A: Given, hx=cot-11x-tan-1x We have to find h'x.  

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: The given series,       ∑k=1∞-1011k-1

Q: 19. e* +e = e**y

A: Solution ) ex + ey = ex + y  Differentiate with respect to x d/dx ( ex + ey )  = d/dx ( ex + y ) [ f...

Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your...

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the constan...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Find all solutions to the following equation on the interval 0<B< 2x (in radians). 2 cos (8) + cos(8...

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Q: dy Find for the following function. dx y = 2x cos x sin x dy dx II

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Q: - Show that lim sin a =D0.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: 2. Show that k(x, y) = e2ª cos (x + In y) is a solution to the differential equation 2k – ykya = 5k.

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Q: Use integration by parts to evaluate the definite integral te dt. CHECK ANSWER

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Q: Write down the equation of the line that passes through the points (5, -1, 2) and (3, 1, 1). Using v...

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Q: 9. DETAILS SCALCET8 8.2.027. If the region R = {(x, y) | x 2 1, 0 s y s 1/x} is rotated about the x-...

A: Given :f(x)=1x=y ∀x∈[1,∞)To find volume of the given region :V=π∫aby2dx  

Q: Solve the differential equations x (x- y²- x)dx =y(x²-y²) dy when x=2, %3D y=0

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Q: (2x if x1 continuous? (A) (0,1] (B) [0,1] (C) (1,2) (D) [-1,2]

A: Graph of the piecewise function÷