3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

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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: 25. lim h→0 (x+h)² +4(x+h) —x²− 4 at h (A) x³ + x4 (B) x² + 4x (C) 2x+4 (D) nonexistent

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Q: f In dx

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Q: (3) fx² sin x dx (4) S (cos-14x)2 √1-16x² -dx

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

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Q: 3) Find the second derivative of y with reference to x. xcosy = y

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Q: Solve the initial value problem. dy 3 dx - = x˚ (y - 5), y(0) = 9

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Q: (cos-14x)2 √1-16x² 5) S (t) - dx

A: To find out the integration.

Q: Find the domain and range of: 1) y = 2) y =√1-x², 3) y = x² - 2

A: We can find the domain and ranges in the below steps.

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Q: y(4)-8y" + 16y=0

A: To solve the differential equation

Q: Help with problem C please.

A: Topic:- function and derivatives

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A: Please see the below picture for detailed solution.

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

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Q: Suppose f and g are continuous functions such that g(4) = 2 and lim [3f(x) + f(x)g(x)] = 10. Find…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 5 4 3 x→2 12 A -1 -2 -3 -4 -5+ Select all…

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Q: Evaluate the following definite integral. 6 Ste¹(-i-j+k)dt 0 Select the correct choice below and…

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Q: lim x→0 (sin 4x/ sin 6x)

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Q: 1. f(x) = sx (x+1 if x ≤ 0 if x > 0

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Q: f(x) = y 9 8 7 6 5 4 3 2 x + 5 J 5 6 7 8 X 1 2 3 4 Describe the interval(s) on which the function is…

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Q: v − 1) dx + (x + 1) dv=0. If v= 2 when x = 1 determine v when x =

A: The given differential equation is; x(y+1)dx+(x+1)dy=0

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A: Apply the derivative for the function as given in the question.

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Q: Given that f(x) and g(x) are continuous functions, and g(4) = lim (2ƒ(x) + f(x)g(x)) = − 4 x 4 ƒ(4)…

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Q: Function 2 x + 2 Discuss the continuity of the function on the closed interval. (Enter your answer…

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Q: Find an equation of the tangent line to the graph of the function at the given point. Y = sin 3x (=…

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Q: 10. Evaluate 0 X √x² +36 dx

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Q: Use the spreadsheet to answer the following questions. 83 123 45 A 45848 Answer: 47 37 94 76 60 B ✓…

A: We can solve the given question as follows:

Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

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Q: 1. Where does the graph of s= t² - 3t+2 have horizontal tangent? Write an equation for the tangent…

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: 14. Evaluate to 4 decimal places: csc 153°

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Q: CHAPTER 0 Review Exercises 1. Let f(x) = x³ + Evaluate ƒ(1), ƒ(3), f(-1), f(-). and f(V2). 2. Let…

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Q: Topic: Differential Equations Please find the general solution of y'=cos2xcosy  Required: Complete…

A: I have stated the used formulas in the solution.

Q: 16. Determine if the Mean Value Theorem for Integrals applies to the function f(x)=√x on the…

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Q: 1. h(x) = √4x²

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Q: Obtain the General Solution of dx + xydy = y²dx + ydy.

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Q: Question 10 of 25 The function f(x) = x -3x3 is decreasing on the interval A)(-00, 0] D) [0,10] B)…

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Q: Let f(x) = √x + 6. Calculate the difference quotient f(10+h)-f(10) for h h = .1 h = h= h = .1 If…

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Q: If a projectile is fired with an initial velocity of vo meters per second at an angle a above the…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

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Q: 18. The velocity, in ft/sec of a particle is given by v(t) = -16t+2. Find the position function s(t)…

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Q: question 7. x + 128x + 96x = 0 answer 7. x = C₁e(-64+20√10)t + C₂e(-64-20√10)t

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