1 Let f(x) ƒ(x) = = . Find f-¹(x) - 01 Ox 1

Q: .Consider the hemi-spherical tank of radius 13 m as shown in the figure (not drawn to ale). What is…

A: Topic = Volume

Q: Using the Mean Value Theorem for Integrals 45. f(x)= x³, [0,3]

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Q: choose the correct answer The grades of Michelle in seven subjects are 84, 91, 94, 84, 92, 91, 93…

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Q: Evaluate f f (x) dx if f(x) 06 O 12 8 O 14 = Į [2x X 1 if x ≤ 3 if x > 3

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A: Here , we have given a figure with its dimensions now we have to find out the fluid force acting on…

Q: Given y=In(2-4x2) + 2e-3x+9x, then y'= O True O False 8x 2-4x² 6 -3x +9

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Q: 70-5 10 Problem 8: Find f'(x) - 9 f(x) = x 5+1 X ³-1

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Q: If f(x) = x² + 2x + 1, find the following values (you do not need to simplify the expression): 1. f…

A: Given function, fx=x2+2x+1

Q: 8. Find the position function r(t) given that a (t) = (-1,-1,-1) and 7(0) = (-5, -5,5) and 7(0) = 0.

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Q: 13. 14. dy dx dy dx = = 2 x2 +4 3 x2 + x

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Q: Given f(x) = find f'(4) using the definition of a derivative. x-1 Provide your answer below: f'(4) =

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Q: Use the equation f ′(a) = lim x→a  f(x) − f(a) x − ato find f ′(a) at the given number a. f(x) =  x2…

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Q: 9) Assume the average temperature in January is approximately 40 degrees and the average temperature…

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Q: Write an example of a function and solve whose derivative can be found by using the following rules:…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 6. 7. 00 8. x = C₁ cos wt + C₂ sin wt; w a parameter y = cx + c² + 1 h y = mx +=;h a parameter, m to…

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Q: What is the constant term in the particular solution of the curve having y" O π-6 4 T-10 6+π 4 14+π…

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Q: Find the arclength of the curve r(t) = (5t2, 2√5 t, lnt), for 1 ≤ t ≤ 10. L= Preview My Answers…

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Q: Question Find the average rate of change of the function f(x) = -3x² - 4x + 2 between x = -1 and x =…

A: The average rate of change of a function over an interval x=a to x=b is the ratio of change in…

Q: Consider the function. f(x) = x R(x) + Q(x) Identify the derivative f'(x). f'(x) = xR'(x) + R(x) +…

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Q: Given f(x) = 2x² 3x + 4 - 2 g(x) = x² - 2x evaluate f(g(2)) + g(f(-2))

A: Given  f(x) = 2x2-3x+4  g(x)= x2-2x( Evaluate f(g(2)) +g(f(-2))

Q: 4. L y = e y 3y + y = 2e x + xe-x; y" + 2y' + y = 0 d³y d²y d

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Q: 3. Find the curvature of the following: Give exact values only a) r(t) = (2t, t³,t²) at t = 1

A: The formulas of curvature are as follows

Q: The volume of 425 mL of a certain liquid has mass 390 g. Find the mass of this liquid that has…

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Q: Let f(x) = 3x - e. Find the value of a such that f'(x) = 0. A 0 B In(3) Ⓒ 4e

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Q: 2. Suppose that A and B are square matrices, not necessarily of the same dimension. Show that A 0…

A: Given that A and B are square matrices. Also dim(A) and dim(B) may or may not be equal

Q: Suppose f(7/6) = 8 and f'(π/6)= -2, sin x f(x) and let g(x) = f(x) cosx and h(x) = = g'(π/6)= = and…

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Q: t of x +2x^3/2, Find f'(16).

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Q: Applications: Solve the following problems, using linear functions to model the given situations.…

A: NOTE:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: the cost (in dollars) of producing x units of a certain commodity is c(x)=100+50x-0.02x^2 (a) Find…

A: Given, the cost function C(x)=100+50x-0.02x2 a) The average rate of change of the function from…

Q: Let f(x)=√√3-x and g(x)=√x²-1 f Find O - 8 - and state its domain -(x) = √3-x

A: Given, f(x)=3-x  and  g(x) = x2-1 To find fgf(x)g(x) = 3-xx2-1

Q: 1) Ax B×C 2) AXBXB 3) BX AXC 4) (A-B) x C A = {1,2}, B = {a}, C = {a, ß}

A: Given, A = {1, 2}, B = {α}, C = {α, β}

Q: 9. Consider r(t) = (2 cos (t), 2 sin (t), -t). Find the unit tangent, unit normal vectors, T (t), Ñ…

A: We want to find unit tangent vector, unit normal vector and the curvature.

Q: My English is not good. Can you write your handwriting on the computer text?

A: According to our guideline, we are supposed to answer only the first question if you want any…

Q: Verify if the primitive y = c₁sin (x) + C₂X defines the corresponding differential equation dy X +y…

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Q: r(t) = (cos πt, 2t, sin 2πt), from (1, 0, 0) to (1, 4, 0)

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Q: Find the local minimum of the function f(x), which is given in the graph below. -8 Provide your…

A: Solution

Q: x²-4y+9=0

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Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁= 3 and x₂ = 5.…

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Q: For the given position vectors r(t). compute the (tangent) velocity vector r' (t) for the given…

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Q: Find the slope of the tangent line to the curve f(x) A 63/16 -63/16 C-16/63 D 16/6 1 3x³ + 2x² - 4x…

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Q: QUESTION 13 g(x)=3+x+e* Find g-¹(4). Do not type 'x='

A: Please see the below picture for detailed solution.

Q: ity before taking limits. 33. f(x)=x²+1

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: How did you do Step #2, please show detailed steps

A: Step 2

Q: In each of the following, eliminate the arbitrary constants. 1. x³ 3x²y = c

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Q: Determine the domain of the function f(x) = √x x² - 64 (Give your answer as an interval in the form…

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Q: 128. Find (3) if h(x) = 2x+ f(x)g(x).

A: Function h(x)=2x+f(x)g(x)

Q: Given the vector function 7 (t) = (cos 2t, sin 2t, t), find 7(2), Ñ(1), B(4)

A: Given that  r→(t)=cos2t,sin2t,t

Q: Consider the following. x = sin(6t), y = -cos(6t), z = 12t, (0, 1, 2) Find the equation of the…

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Q: 2. On the graph below, sketch the tangent lines at the points x= -1,0,2,3, and clearly label the…

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Q: Given the graph of y = f(x), shown as a red dashed curve, drag the movable blue point to obtain the…

A: Given graph of y=f(x)