It is determined that the value of a piece of machinery declines exponentially. A machine that was purchased 5 years ago for $66000 is worth $36000 today. What will be the value of the machine 3 years from now? Round your answer to the nearest cent.

Q: Differentiate the function f(x) = x^1/3 f'(x)=

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

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Q: a) | f(x)dx = b) | f(x)dx = c) 5f(x)dx =

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Q: Given the graph of the function below. Find the limit of the function as x approaches 5. * (3, 4)…

A: From the given graph, we have to find the limit at x=5

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A: Given, f(x)= x-x³ (1,0)

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A: Given: Now find the x-intercept of the line y=x+1. y=x+10=x+1x=-1x,y=-1,0 Now taking an elementary…

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Q: Determine whether the statement is true or false. If it is true, explain why it is true. If it is…

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x

A: We will put value of x =g(x)

Q: If e = then %3D 4. sin(0) = %3D cos(0) = Give exact values. No decimals allowed!

A: Follow the procedure given below.

Q: 1 Use SUBSTITUTION to evaluate the definite integral to three decimal places. xp- 2x +4

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Q: In R³, consider the triangle formed by X (2,0, 4), Y (0,5, 0) and Z (-2,0,0). Us- ing vector and…

A: Let's find.

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Q: NOTE: Each question must be submitted individually. Press 'Submit Answer' for each question before…

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Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 27x² + 108x + 5 The…

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). f(C) = - (x + 1) (x² + 1) (3x² –…

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Q: 1) Find the second derivative of y = csc 2 e cot 2e %3D

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Q: 12. SHOW ALL WORK For the given point (6/3, 6) in rectangular coordinates, find equivalent polar…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: 4 3 2 -6 -5 +4 -3 -2 -1 -1 1 3 4 5 -2 -3 y = f{x) -4 (a) lim, f(x)= x→-4+ -3 3 2 O DNE O 1 (b) Is…

A: We need to choose correct option.

Q: 4. y = Vesinx + 2

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Q: 5- 3x? Evaluate lim x-00 (2-x) (x+ 2) does not exist O NONE OF THESE -3 3 O O o O O

A:

Q: Question 57 Find the coordinates of the point on the unit circle at an angle of . Give your answer…

A: r=1  (unit circle)θ=5π3x=r cosθx=cosθy=r sinθy=sinθ

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Q: y y=x+1 x= 4 y = 0

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Q: Find the length of arc of the given curve.

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Q: Exercise 1.11: For each of the following differential equations, identify its order, degree, type…

A: Highest order derivative in Differential equation is called order of differential equation .  Degree…

Q: What is the average value of y =x*Vx +1 on the interval |0.2? 26 (A) 69 52 (B) 6. 26 3 (D) (E) 24…

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Q: Evaluate the definite integral. 7t ej+t O e? - 1 i - elj+ 7 2 O e? - 1 i+ 7 k - O eľ - 1 i - 7 1 k -…

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Q: Use the General Power Rule to find the derivative of the function. 4 g(x) (5x² + 3x)7

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Q: Use Lagrange multipliers to find three pos- itive numbers whose sum is 174 and whose product is a…

A: Solve the following

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Q: Fence Length. A fence is to be built around a rectangular area of 10 square metres. The dimensions…

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Q: se the General Power Rule to find the derivative of the f y = 124x2 + 5

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Q: You are given a sphere of radius 2. A hole of radius b (b < 2) is drilled through the center of the…

A: Follow the procedure given below.

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8 %3D T(8) = | %3D N(8) =

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Q: Object Height. Suppose an object is thrown straight up from the ground. The height after t seconds…

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Q: 2.6 Chemical Engineellly I) is given by nent, its specific hea component and the E s differential…

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Q: Let <0,4,27 < 3, 0 , 1) What is the having the same direction B- ZA + c ? unit vector as

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Q: Consider the graph. y 4 2 8. (a) By reading values from the given graph of f, use four rectangles…

A: As per bartleby guidelines we only give first question answers.

Q: H = 33(10VV - v + 10.45) where v is the wind speed (in meters per second). (a) Find dH dv dv dH in…

A: