2 Determine the equation of the line tangent to the curve y = 4x + X y = at the point (2,9).

Q: 12.) Using the result from Problem 11, find the equation of the tangent line at (-2, -1/2).

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Q: 1. Graph the following function on the board: f(x)= 0 -∞<x<-1 1+x -1<x<0 1-x 0 0≤x<+1 +1<x<+∞o

A: Please see the below picture for detailed solution.

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A: Are of intersection can be found by solving both equations by putting value of   Y from any one…

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Q: 2 (2xy-3x²) dx + (x² + 2y) dy = 0

A: We have to find the solution of the following differential equation in x and y.

Q: -5 -4 -3 -2 -1 5 4 3 -4 2- 0 --10 -2- -3- -57 1 2 3 4 5

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Q: (a) Show that y = e(c₁ cosa + c₂ sin x) is a general solution of y" + 2y' + 2y = 0. (b) Deter- mine…

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Q: Find the derivative of the function. y=2xe-3x −3ex4 dy dx ||

A: Given query is to find the the derivative of the function.

Q: -5 -5-4-3-2-1 5 45

A: Need to write down the value of f(1) from the graph of the given function.

Q: Algebra An airplane's altitude declines steadily by 29,750 feet over a 14 -minute period. Find the…

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Q: 9. y = (1 + x²) Arctan x - 1 10. y = sin(Arccos x)

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Q: What is the integral of x(x + 2) dx? A. x³/3 + x² + C B. x³/3 + x²/2 C. (x+2)2/2 D. x³/3 + x²/2 + C

A: Topic = Integration Correct option = A

Q: 1 23. Σ (Inn)" 0=1

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Q: which of the following is a function? x2-(y/5)2 =12 9= cos y + 2sin2x cos 2x - y=7 |7-y| = 4y

A: A function is a kind of rule that, for one input, it gives you one output.An example of this would…

Q: 1. Circle the function if it is a (a) f(x) = 3x³ - 2x² + x (b) f(x) = 5x ² +5x² (c) f(x) = 2…

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Q: At which value of y does the relative minimum for the curve y = 3x³ 3x² - 24x + 10. A. -19.5 B. -26…

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Q: Solve the problem. The cost of manufacturing a particular videotape is c(x) = 10,000+ 12x, where x…

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Q: the roots of the linear equation fcx) = x ³ + x² 100 fall within the period [1,2] Ⓒ True (2) Erorr…

A: Given fx=x3+x2-100

Q: Let f(x)= = [mx m = - 11 if x < -10 - - 10 x² + 4x 1 if x 2 If f(x) is a function which is…

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Q: Integrate cos x dx with limits from 0 to π/2. A. 1/2 B. 3/2 C. 1 D. 2

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Q: - Find and sketch the domain of the functions: √x+y+1 x-1 b) f(x, y) = x ln(y² - x) c) f(x, y) =…

A: The given functions, a) fx,y=x+y+1x-1b) fx,y=xlny2-xc) fx,y=6-3x-2y We have to find the domain of…

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Q: Given: f(x)= = 1 2¹ and g(x)=√x +3 2-x Find the domain of f(g(x))

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A: Given query is to find average value of the function.

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Q: xy'= y inx

A: xy'=ylnx

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Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. complete solution 2. Parabolas…

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Q: How did you obtain 8x?

A: Let's solve.

Q: d. yx² - y² = k e. Not in the list. Select one: O ab O b. e C. C O d. d O e. a Clear my choice

A: Topic:- solution of differential equations

Q: 49.9(0)(-77.895)

A: Question : -49.9(0)(-77.895)

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Q: 3. The linear equation f(x) = x is called the identity function. (a) What is the derivative (slope)…

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A: