If f(x) is a linear function, f(-2) = 4, and f(3) = 2, find an equation for f(x) f(x) =

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Q: Solve the second order Differential Equations. 4y - 12y + 5y = 0

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Q: 1. Use Calculus to find the absolute extrema of f(x)=3x4-4x³ -36x² +28 on the interval [-3,4].

A: By using Calculus to find the absolute extrema of  on the interval .Note: Since the student has…

Q: Consider the function f(x) = 4x²e-. a. Find the first derivative. f'(x) = b. List any critical…

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Q: Find the absolute extrema (max and min) of f(x,y)=3x^2-2y^2 over the disc x^2+y^2<=1. Indicate all…

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Q: Z₁ cos# = 2 V₁ 1 V +(x-2- sin e Z₁ cos Z₁ X + V₂ V₂ cos 9) +1/+ Z₁ 1 V. cose V 2 -sin 0 +

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Q: Find the slope of the tangent line to the curve at the point (4π, 7π/2). 4 sin(x) + 4 cos (y) - 6…

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Q: Given the function f(x) = -2x² Find the difference quotient Find f'(x) by determining lim h→0 -4…

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Q: True or false: If f is a function such that lim f(x) = L and x→a+ lim f(x) = L x-a where a and I are…

A: For a Function f( x ) at If Function is continuous at  then

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Q: Evaluate the following integral. 36 2 x - 36 36 x²-36 2 dx= dx

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Q: Verify the following identities: 1. tan y csc y 2. 3. tan x sec x = sec y cos y sin x cot x sec x…

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Q: 1. Consider the ellipse given by x(t) = 9 cost and y(t) = 81 sint for 0 ≤ t ≤ 2π (a) Make a sketch…

A: The given equation of  eillipse is for

Q: Answer the following True or False: p(x) If p(x) and g(x) are polynomials such that p(6) = 0 and…

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Q: O line dogecan

A: Given the polar equation we have to find choose the correct option

Q: Consider the function f(x) : = m2 – 52+4 x + 2 a. Find the first derivative. f'(x) = b. List any…

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: If lim f(x) = 4 →2 then compute the exact value of x + f(x) lim x→2 Enter your answer as a decimal…

A: The Root Law:The Sum Law:

Q: Let g(t)= t - sin (t). (a) Plot the graph of g.

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Q: Ift B 9 ft 7.

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Q: e,f,g

A: By using previous solution sign Table xf'(x)Positive zeroNegativeDNENegativezeroPositive

Q: Let 16x-5 1x² +5 Enter the exact value of the one-sided limit lim f(x) 3-2 f(x) = if x ≤ 2 if x > 2

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Q: 7. Given F(x)=√√√x+3 A. Find (fo (fog)(x) B. Find (9°F) (2) gof) → g (x) X -2 report domain and…

A: f(x)=sqrt(x+3)g(x)=x2-2.

Q: Suppose that in a certain biology lab experiment, the number of bacteria is related to the…

A: Suppose that in a certain biology lab experiment, the number of bacteria is related to the…

Q: 2. (y +y²)dx - (y²- 2xy+x)dy = 0

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Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: For the given double integral, to sketch the region of integration and to wrire an equivalent double…

Q: Evaluate the indefinite integral. Answer = +C St tan¹ (2x) dx

A: Let,  A=.

Q: What is the unit tangent vector T(t) on the curve r(t) = (sin(t), 3, 2 cos (2t)) when t = 0? Select…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. π [7] 0, 2 f(t)= 2…

A: In this question, we will find the absolute maximum and minimum values.

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Q: b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at…

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Q: 4. COS V sin v = csc v sin v 5. cot(a) cos(-a) + sin(- α) - csc (α)

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Q: 5 4 --3- 2 -1

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

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Q: The rectangular coordinates of a point are given. Plot the point. (-6√2,-6√2) 5 -10 -5 (r, 0) = y 10…

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Q: Find a formula for the nth partial sum of the telescoping series below and use it to determine if…

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Q: Given C = x³ – 6x² + 9x +4 13 a) Find C'(x) = Find any critical values of C'(x) b)x= Use interval…

A: Given,

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Q: 7.2x dy + y(2 + y²x) dx = 0

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Q: (a) Find the differential dy. y = ex/2 dy = (b) Evaluate dy for the given values of x and dx. x = 0,…

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Q: For the given double integral, sketch the region of integration and write an equivalent double…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

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