8. Let f(x) = x + 5 and g(x) = x² + 9x + 20. a) Determine an algebraic and a graphical f(x) and identify its domain g(x) model for y= and range. b) Determine an algebraic and a graphical g(x) f(x) and identify its domain model for y and range.

Q: From the top of a 174-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

A:

Q: Find the directional derivative of f(x, y, z) = in the direction from P to Q(0, 4, -1). NOTE: Enter…

A: To find the directional derivative of fx, y, z=2yx+z at P3, 3, -2 in the direction from P to Q0, 4,…

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A: Here we have to choose the correct option.

Q: ل بريال

A: From the graph of given function

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Q: Without graphing, identify these key features: vertex, axis of symmetry, direction of opening,…

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Q: Prove the identity. 2 tan(x) 1 + tan²(x) = sin (2x)

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Q: The profit, P dollars, earned by a company producing CDs is approximated to be P = -30x²+720 1720,…

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Q: 1. Which of the following can be modeled by a linear function? The relationship between the time…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Here we have to evaluate the limit

Q: - Format: Find the directional derivative of f(x, y, z) = -4x²z - 11 xy + 2z² at P = (-3, -3, -2) in…

A:

Q: Which of the following functions is guaranteed by the Extreme Value Theorem to have an absolute…

A: We need to find out which of the following functions is guaranteed by the Extreme Value Theorem to…

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Q: If f(x) = 2 + Find f'(5). 68 + 2 find ƒ'(x). x²²

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Q: ( ²-² + ² ) ✓ = 15² (8 ( ² + ² ) . ( ²/² + ²² ) ₂²² = ( − 15_³ = (5 55-³=1 (²-4), ( - ) ² = (

A: Topic:- Laplace transform

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A: Let’s assume a 1 unit money is  investment the rate of interest on yearly is (r)=5% if we compound…

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A: Let's find time t to rock change directions.

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A: Topic:- application of derivatives

Q: A6. Evaluate the following integrals: 2v1 + da, (i) (1) L² dx x² + 3x + 2' (iii) S sin (20) 1+ cos²0…

A: (i) ∫-10x1+xdx

Q: Find the an equation of the plane passing through points (−5,3,8), (10,9,8), and (-6,-3,8)

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Q: Find the limit || (Enter 'DNE' if the limit does not exist) lim (z,y) →(-35,5) xy cos(x + 7y)

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Q: The graph below describes f" (x), the second derivative of a function f. ● a b Select which of the…

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Q: Which one of the following points lies on the line r=(−6,−4,−4)+t(−4,−6,−6)?   a   (−2,−10,2) b…

A: Topic - Lines We are given an equation of line as r= (−6,−4,−4)+t(−4,−6,−6)

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Q: ] 4. What value of x satisfies the following equation? 42-283x-6 (Only type your numerical answer in…

A: As per bartleby policy only one question is allowed to solve if multiple question is asked in single…

Q: 2. What is the second derivative of f(x) = - ²x³²x²+6? f"(x) = 5x² - ²³√x f"(x) = 10x + √√√x+6 a. b.…

A:

Q: Find Vz. 8x +9y 8x9y NOTE: Give your answer in unit vector notation; that is, in terms of i and j.…

A: Topic = Derivative

Q: Jamie is pedaling due south a 8 mi/hr. His sister, Martha, is pedaling due west at 5 mi/hr. After 2…

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Q: Find the approximate area of a sector of a circle of radius 13 inches if the measure  θ  of a…

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A:

Q: Find the integral of x2dxdy. Use the inner limits = 0 to 2y, outer limits= 0 to 1.

A: To find the integral of x2 dx dy.To use the inner limits=0 to 2y, outer limits=0 to 1.

Q: O False O True 6. Given the standard form it is simple to identify the vertex (p, q).

A: Let's solve.

Q: 4. Complete the square and list the key features. Explain for each. -direction of opening -vertex…

A: Please see the below picture for detailed solution.

Q: A stomp rocket is launched straight into the air and is being watched by students 300 meters away.…

A: Topic = Derivative

Q: QUESTION 2 x Evaluate the improper integral (²+1² dx.

A:

Q: Consider the points below. P(0, -4, 0), Q(5, 1, -3), R(5, 2, 1) (a) Find a nonzero vector orthogonal…

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Q: QUESTION 1 In x Find lim- 1-01-2x² QUESTION 2 X Evaluate the improper integral S₁ (x²+1)² dx.

A: As per the bartleby guideline only one question is allowed to solve if multiple question is asked in…

Q: 06* If - ²/1 <-3t+1 21/4 107/20 27/5 270/17 < 7 what is one possible value of 9t - 3?

A: Topic = Inequality Correct option = 10720

Q: For the following functions find the partial derivatives toe te te + ехе ће хе Fel t tel дгох даду…

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: 13. Explain why f(x) = X - does not have an extreme value on the interval [0, 5]. x-1

A: We have to prove function f(x) does not have extreme value on the interval [0, 5]

Q: برال

A:

Q: Five functions are defined by the table 8 f(x) g(x) h(x) F(x) G(x) 1 6 LO 1. G(x) 2. g(x) 3. F(x) 4.…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: 14. A rectangular garden is to be planted against the side of a barn. The gardener has 80 metres of…

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Q: For subject to F(x, y) = 4x y-24(x + y) 2 X 2 + y² = 36,

A: Given, Fx,y=4xy-24x+yFx,y=4xy-24x-24y Subject to x2+y2=36 ⋯⋯⋯⋯ 1 To find: Stationary point = ?

Q: = 4. Find the arc length of the graph of y 1 + on the interval [1,2]. 2x

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Q: Find p, q if f f(x) dx + ₁¹⁹ f(x) dx = f f(x) dx. (Give your answers as whole or exact numbers.) p=…

A: given  ∫57f(x)dx+∫719f(x)dx=∫pqf(x)dxby using properties of integration…

Q: When an object is dropped on a certain earth-like planet, the distance it falls in t seconds,…

A: The function is  s(t)=17t2 a) At t= 3 second S(2)=17×(2)2 S(2)=68 ft so , the the hammer will fall…