ACTIVITY 2 :Keep Practicing! Answer the following problems : 1) Find the number in the interval 12, 2| so that the difference of the number from its square is maximized.

Q: Use the simple Euler method with step size h = 0-1 to obtain the approximate value of y(1-5) for the...

A: Given step size = 0.1dy/dx = xy1/2y(1) = 4We will find the approximate value of y(1.5) for the solut...

Q: Sketch the region that corresponds to the given inequalities. 2x - ys 3 x + 2y s 9 10h Solution Set ...

A: Given, 2x-y ≤3x +2y≤9

Q: If f(r) = 4x? 3x +5, find f'(- 2). Use this to find the equation of the tangent line to the parabola...

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Q: (a) Suppose the value of f(x) = e is known in x 0.98 and x = 1. Find the linear interpolation approx...

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Q: Problem 5. In this problem, you wil fnd the volume of the solid genorated by revolving the reogion b...

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Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: /1. (D3 – 3D² – 3D + 1)y = 0

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Q: 4. Find the exact arc length over the interval. b. x =y* from y = 1 to y = 4

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Q: Question 17 Use your knowledge of the properties of logarithms to match equivalent expressions: ] lo...

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Q: Find the linear approximation to f(x) cos(x) at x = 0. O L(x) = O L(x) = 1 O L(x) = 1+ x O L(x) = 1 ...

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Q: the standar form of the equation of the hyperbola with the given characteristic Foci: (0, 19); asymp...

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2...

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Q: (a) sec e = 2 e = degrees e = radians (b) cot e = 1 degrees radians

A: SOLUTION-

Q: Activity 2.Solve for the derivatives of the following functions. Write your answers on a separate sh...

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Q: Figure 2 shows the shaded region S bounded by the curve x = y² – 2y + 1 and the line y = 3. Find the...

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Q: Unit Circle, Fill in the blank 20 45 20. 0.0 215 200

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Q: b) The shaded region W is bounded by the curve y = x² + 6 and the line x = 3 and 1 y =x +1 as shown ...

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Q: af af and ax 'ay L: f(x.y) = (x + y)(2x + y)² Compute %3D дхду

A: Given that: f(x, y)=(x+y)(2x+y)2

Q: Locate the centroid (x coordinate only) of the parabolic area.

A: To Find: Locate the centroid (x coordinate only) of the parabolic area. 

Q: Write the primitive counting results for your 159 sheep: 159= For example, the answer for "14" wou...

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Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower 20...

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Q: Find the general solution of the system whose augmented matrix is given below. [:) 2 4 4 Select the ...

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Q: 4. Find the exact arc length over the interval. b. x =y* from y = 1 to y = 4

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Q: 4 1-1 if I 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(z) = lim...

A: We have to find out limit

Q: Given that f(): 2 - 7z and g(x) = z + 3, find %3D (a) f+ g= and its domain is (b) f - g= and its dom...

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y =...

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Q: v(t) = Vt* – Vt, en find the second derivative, "(t) = ...

A: We will use the following formula to find the second derivative i.e d/dx(xn)=nxn-1

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x2+8f(x)=x2...

A: Given problem:- Find the volume of the solid obtained by rotating the region enclosed by the curves ...

Q: 2х-1 c) Consider a function f(x)= Find х - 2 the vertical and horizontal asymptotes, i) ii) the inte...

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Q: DETAILS SCALCET9 13.XP.2.009.MI. Find the unit tangent vector T(t) at the point with the given value...

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Q: 2. Consider the graph of g(x) 2x+3-1 a. List any x-values at which g(x) is not differentiable: There...

A: Given: gx=2x+33-1 The graph of g(x) is shown as:

Q: Suppose h(x) = /f(x) and the equation of the tangent line to f(x) at x = 1 is y = 4+ 4(x – 1).

A: WE area asked to find h'(1)

Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

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Q: 12. Find the first derivative of y = 2cos(2 + x?). A. -4x sin (2 + x²) B. 4x cos (2 + x*) C. x sin (...

A: Since you have posted multiple questions. As par guidelines we"ll solve first question only. If you ...

Q: A particle moves along a straight line and has acceleration given by s"(t) = 5t. [ts initial velocit...

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Q: 3. Using a Surface of Revolution. Imagine that the parabola given by * = 4py is revolved about the y...

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Q: x² +1 dx (3x+1) 2. Evaluate

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Q: Find the average value on the interval 3, 6 of the function whose graph appears below. average value...

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Q: - 5x + 7, find f(2). Use this to find the equation of the tangent line to the parabola y = 4x2 5x +7...

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Q: AY 10 4 2+ 0.5 1 15 2. 2.5 3

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Q: 1. Show that c(t) = (e¬t cos t, e-t sin t), 0 <t <∞ has finite length and calculate its valu

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Q: Which integral would represent the area shown? AY 8 4 X 0.5 1 15 2 2.5 6 2xdx o (2r + 1) dx 6 (2x + ...

A: topic - application of integration

Q: x² +4x-12>0

A: Solve the inequality, and write the solution using interval notation . x2+4x-12&gt;0   

Q: Use the function f(1) = a² – 4 to fill in the table: 2 f(z) 3 2.5 4.5 2.1 4.1 2.01 4.01 Based on ONL...

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Q: 5. Use Implicit differentiation to find dy when y V x2 tya = 15x° +4siny 3

A: Using implicit differentiation find dydx for;  yx2+y2=15x3+4siny

Q: 4 If f(x) = 4+ find f'(x). Find f'(5).

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Q: 1. f(x)=5**1

A: Answer: the solution is as given below :   

Q: Question 18 Which of the following statements is TRUE? Select ALL that apply. O log, log,(r) – log,(...

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Q: 2. Consider the function h(x) = 11 - + x3 a) Find the equation of the tangent line to the graph of h...

A: We will find the equation of tangent line as shown below

Q: て+ ×ら-てとを (X) sketch the graph

A: The function is given as fx=x3-3x2-9x+2 sketch the graph of fx.