Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

Q: 1 k k² A = 1 k k² 1 k k²

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Q: Find the homogenous liner equation  y = x2sinx + e5x

A: Given, y=x2sin x+e5x

Q: 2. A circular walkway is to be built around a monument, with the monument as the center. The…

A: The equation of the circle with the centre   ( h, k) and radius r is given by      (x - h)2 + (y -…

Q: Solve the following differential equation by Laplace: ² - 4y = 16 t -6, y(0) = 3 . dx

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 100

A: NOTE: Refresh your page if you can't see any equations. .

Q: lim √2x² - 4x Evaluate *→

A: The given limit is: limx→2-2x2-4x

Q: Given: f(p) = 2 Choices: (2p+3; p1 Evaluate lim f(p). P-2 a. b. 5 7-2p Limit does not exist c. 2 d.…

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Q: O x=1 Ox=2 Ox=3 Ox=4 The function h is defined by h(x)=√√4x+1. Where does the slope equal 3

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Q: Identify and sketch the domain of f(x, y) √x-y In (1 + y - x²)

A: ,

Q: Let f(x) = x - x³. (a) Find the slope of the tangent line to the graph of f at the point (1, 0)…

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Q: Problem 3: Suppose an #1 for all n and lim an = 1. Given a positive ªn + a² + ... + ak − k an-1 Prob…

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Q: se implicit differentiation to find the equation of the tangent line to the function defined…

A: Given x3-x2y5=-2,point (-1,1) The objective is to find the equation of the tangent line to the…

Q: Find and draw the domain of the partial derivatives əm ¹ of m(x, y) = √x − y + √x+y. əx

A: We can find partial derivative of the given function .

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Evaluate the limits. lim 12= X-7 lim X->-1 lim (5+3)= +->5 X= lim (4₂³-3₂) = X-7-1 lim X-7 lim X-7-3…

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Q: Frequency 8 2 15 9 13 data Class width = Q Based on the histogram above, what is the class width?…

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Q: Question 5 of 14 > Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 SEP 19 y f'(2.5) = 1 2 3 4 5 6 789…

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Q: 3y(x²-1)dx + (x³ + 8y - 3x)dy = 0; when x = 0, y = 1.

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Q: Given h(x) = -2x² + x + 1, find the absolute maximum value over the interval [-3, 3]. Write your…

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 EPIC Does not exist 02 0…

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Q: Which of the following is NOT a part of Quantitative Analysis?   a. Logic b. Weather c. Historic…

A: a. Logic - Logic is an analytical philosophy. b. Weather - Weather is a quantitative analysis…

Q: 1. Find the equation of the plane that passes through the points (1,0,-1), (0,2,3) and (0,0,5) in R³…

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Q: Show that the function f(x) = |x - 21 is not differentiable at 2. We have The right-hand limit is…

A: To show that the function fx=x-2 is not differentiable at 2.To find a formula for f' and to sketch…

Q: Under High order linear differential equation Solve: 4y" - 20y' + 5y = 0 Given y (0) = 2;

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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…

A: Since the function is continuous everywhere, the value of f(x) at x&lt;-10 is the same as x&gt;=-10…

Q: determine the general equation of the tangent plane to the surface of parametric equations: x = 1 +…

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Q: (4-x-x² if x ≤ 3 if x > 3 2x-9 Calculate the following limits. Enter "DNE" if the limit does not…

A: We have to find the limit.

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: 2. Find lim (3x° + V9x6 − 2x3) 第→○ 2

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Q: A = Γλ-4 0 0 X 0 0 2 3 A-1

A: Given :A=λ-4000λ203λ-1

Q: A wireless phone company has a pricing scheme that includes 300 minutes' worth of phone usage in the…

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Q: Q3/ A: Find General Solutions for the following Differential Equations (Use Differential Operators).…

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Q: Solve dy/dx = x² + 2xy + y² + 2x + 2y, y(0) = 0.

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Q: If f(x) = ƒ'(x) = 4x(sin cosx), find

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Q: Solve the problem. The population P of elephants in a wild animal preserve changes with time (in…

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Q: Prove that if A is a square matrix, then det (ATA) = det(AAT)

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

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Q: 1 en (enx)+ dx (enx)?

A: To evaluate: ∫lnln x+1ln x2dx

Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: [2-3 57 A=0 1-3 0 0 2

A: Given matrix A=2-3501-3002

Q: 7. Assume that f is continuous and differentiable on (-xx, o0). Consider the interval (a, b) where a…

A: Concept Used: Extreme value theorem: A function must possess a maximum and a minimum if it is…

Q: Sketch a graph of f(x) = 2x + 5x2/5. Which of the following figures represents the curve of this…

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Q: v=(√2x-4)G

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Q: Suppose a is a positive real number. Determine the area of the triangle enclosed by the lines y=0,…

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Q: 65-4 52-45+16 4/ A: 1- L-1,

A: given the function in laplace form

Q: #60, need help with response C please

A: Given Qt=Q0e-kt   .......1 Where t is the time in hours after initial dose Q0 is administered.  Also…

Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Evaluate_lim_ (√9x² − 5x +1+3″

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Q: If f(x)=√x-2 and g(x)=x+3, what is the domain of f(g(x))? O #23 02-2 O M-1 O z>2

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Q: 1. Find lim x2-x² 1 x3 8 - 4x +4

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