Let r1(t)=⟨3,−6,−16⟩+t⟨0,−4,−4⟩ and r2(s)=⟨−9,2,−20⟩+s⟨−4,0,−4⟩. Find the point of intersection, P, of the two lines r1 and r2. P=

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A: Here, the region R is bounded by the functions f(x)=2x, g(x)=1 between x=1, x=2. So, the region is:

Q: Q2/Solve the following equation from t=0 to 1 with step size is 0.5 using E Method. dy -= y sin³ (t)…

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Q: Q10) (E.G.) Let O be an interior point of AABC and let E,F,G be the foot of O on AB, BC, AC.If AB =…

A: Note- since you have asked multiple question but according to bartleby guideline i only have to…

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A: Find the limit of the following limx→11x-1-2x2-1=?

Q: 1. Use the tables to find the z transforms of the following a. 6 b. 2 c. e 2n

A: As we know that, L{1} = zz-1

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Q: Question Define R as the region bounded above by the function f(x) = ² and below by g(x) == between…

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Q: thrown

A: Please refer to the image below

Q: x→a f(x) lim f(x) = x→a+ Olim f(x) = -8 implies that lim f(x) = - 8. x→a x→a+ lim f(x) = Ha Olim…

A: we will do as per the question.

Q: n 4 3 2 1 -1 -2 -5 15/2 Find lim π Find lim f(x): ² → ( ²7 ) + 3π/2 The graph of the function f(x) =…

A: Given, f(x) = sec(x)

Q: Find dy/dx for the following functions:- u² (4) y=²+1 , u = 3x² - 2 (3) 4x² + 3xy - xy² = 0

A: We can find the answers in the below steps

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A:

Q: 2. f(t)=√t+ √VE

A: Domain of a function is defined as the set of values of input variable for which the function is…

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A: Given curves:- y=2x and y=x2

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Q: - Solve the quadratic equation using appropriate method. x² - 81 = 0 2. x² +5x +6=0 3. 2x2 4x+3=0

A: Here we have to solve the quadratic equation.

Q: (C) Find the domain and range of: 1) y = x+1 . 2)y=v1-x²,3)y = x² - 2

A:

Q: (cos-14x)2 √1-16x² 5) S (t) - dx

A: To find out the integration.

Q: 6. Write the following power functions in the form f(x) = kx² a. f(x) = -³/3 x3 b. f(x) = ³² c.…

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Q: Find the parametric equations for the tangent line to the curve x =t* _ 1,y=t* +1,z=t* - at the…

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Q: 19.) lim X+2 X+-2 X ³³+8 3 tiran

A: To find limit of the given function as x approaches to -2.

Q: 4 1

A:

Q: I'm 4-√3x + 1 2=75 2²²-7x+10

A: We can solve this as follows:

Q: Solve for the variable of the following quadratic equations. Kindly provide a COMPLETE and CLEAR…

A: We have to solve the given quadratic equations.

Q: Let f(x) = 5x + 4. Determine (ƒoƒoƒ)(x). (fofof)(x)

A: Given fog=hx=1x-7 and gx=x-7To find : fxSolution :fog=hxfgx=hxfx-7=1x-7let, x-7=tft=1treplace…

Q: Prove that: B(x+1; y ) + B (x,y+1)=B (X,Y) let (x+1)= X(X)

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Q: 4. Given f(x) = x² +3 and g(x) = -3x + 11, find the following a. f(g(3))

A: Concept: Composition of function: A function is composed when two functions, f and g, are used to…

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Q: The following image shows the graph of the function f(x)=√√4-x² A -2 B 6.27 square units 7.5 square…

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Q: 4. f(u) = 3u² +2u-6, g(x) = x + 2 5. f(u)=u², g(x)=x²-₁ Find the indicated composite function 6. f(x…

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Q: Find the simplified difference quotient for the given function    dx2 + kx + m

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Q: B.    Find the DE of each of the following by eliminating arbitrary constants               1.…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

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Q: (1) lim,-0 √x+9-3 X (2) lim-0 1–c05x x sinx (3) limx-1 x²+3x-4 x-1

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Q: The demand for a new computer game can be modeled by p(x) = 46.5-6 In x, for 0≤x≤ 800, where p(x) is…

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Q: Verify if the given equation is a solution of the given differential equation. Show full solution.

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Q: Prove that B (xX+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) = ХГ (Х)

A: We have the formula for beta function interms of gamma function is that B(m,n)=Γ(m)Γ(n)Γ(m+n)As we…

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A: Topic- Limits

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A:

Q: Is there a specific way to identify, analyze and find a solution to inequalities that are rational?…

A: Solution: There is a specific way to solve rational inequalities. Let's take an example of it. Solve…

Q: 3. A function f(x) satisfies the inequality 1-<f(x) < 1 + tan² x, when x →0. Using the Sandwich…

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Q: Let f(x) (fg)(x) = 2x + 4 and g(x) = 5x2 + 5x. After simplifying,

A: 1)f(x)=2x+4 and g(x)=5x2+5x 2)f(x)=x2-7x and g(x)=x+15

Q: Evaluate lim f(x) if f (x) x-5- A B -10-4 D 0 ∞ ∞ = 1 (x - 5) 4

A: To find out the limit.

Q: Evaluate the foll 1. (عه - ی)

A: