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Q: = E R is ² +1' 38. The range of the function y A. -Sus} B. -}

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Q: What is the slope of the tangent to the curve h (x) = 3.4 x at the abscissa point is x = 2?

A: According to question,Given equation, h (x) = 3.4x

Q: Suppose that f(25) = 10 and ƒ'(25) = −2. Estimate each of the following. 1. f(27) = 2. f(23.5) =

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Q: Find f'(x) and f"(x). f'(x) f"(x) = f(x) = (x³ + 7)ex

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Q: If f'Cx) ="e find all wrical auedy or honilantal Ao

A: Here we have to find the vertical and horizontal asymptote of the function f'(x)=-e1xx2

Q: nly ENRICHMENT ACTIVITY 1 Direction: Determine the value of function and its inverse. Then draw the…

A: Step:-1 Given function is  fx=2 x +1    x= -2 then, put x= -2 in f(x), we get fx=2 x +1f-2=2 -2…

Q: 4) fip by implicit differentiation, where Find dr y + x?y³ = x* + y.

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Q: If ƒ(x) = (6x² – 3)¹, find: f'(x) = ƒ''(x) =

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Q: Q3) The following data represents the relation between the heat capacity of a plate (q) and time…

A: The given data is, t q 1 8 2 7.15 3 5.25 4 3.65 5 2.5 6 2.35 7 2.25 8 1.5 9…

Q: If ƒ(x) = (x² + 3x + f'(x) = + 3x + 2)², then ƒ' (2) =

A:

Q: 5. If fx) = ene0", find f"(0). a. e b. 1 C. 7 d. 0

A: Derivative

Q: Based on this question add on the following list and rewrite the question. 1. Is 'x' defined in…

A: Great! Let's solve each task step by step.Step 1: To find the number of subscribers that maximizes…

Q: 6. f(x) cos (4x- 16), when x = 4 (0 in the given function is in degree measure)

A: Given- fx=cos4x-16 To Find- The value of the above expression when x=4 and θ in the degree measure.

Q: 2. The tangent line to the graph of y= e3-x at the point (3, 1) intersects the x-axis at the point P…

A:

Q: 29. Consider the parent function below. Which one represents a downward stretch by a factor of 5? *…

A: Please see the answer in Step 2

Q: №.4 Find f¹(4.8) and f" (2.2) for the follo data in the below table. Ⓒ Find J fixi dx O X 0 1 2 3 4…

A: Introduction: The formula of Newton's forward difference interpolation is given by…

Q: 11. 3

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Q: Find all the x- values where Whe tangent lines are horizontal (ie, all the x's uhere fi6s)=0

A:

Q: 6. Apply the First-Derivative Test, to identify all relative extrema of f(x) = x3- Answe homev 16…

A: Given query is to find the relative extrime.

Q: Which of the following is the graph of the derivative of the function shown here? y 4 C. a. d. yA b.…

A:

Q: If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

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Q: 5 4 3 2 1 1 4 5 3. 2.

A:

Q: 24. f(x) is a function such that f*(x) > 0 for x =0 and f"(0) is undefined. Sketch 2 different…

A: If f′′(x)>0 for x≠0, it means that the second derivative of f(x) is positive everywhere except at…

Q: 1. Find f"(r) for the following functions. 1 (a) f(r) = %3D f"(x) = %3D (b) f(r) = r³/2 – 5x %3D…

A: Given:  a) fx=1x2             =x-2       f'(x)=ddxx-2   Apply power rule xn'=n·xn-1…

Q: 3 4/3 Find the length of the curve y = x 3 2/3 8x +5 for 1 ≤x≤27.

A:

Q: VPu × (1 – Pu) (0.50) ( ) d.f. 117 (116) (о.03) 322 ( ) ( ) ( ) denom. tobtained AUC (0.65) (O ( )…

A: The table provided in the question is The necessary calculations are given below.

Q: 4 and a = 6. 3 Find (f)'(a) for the function f (x) = x²

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.