Solve the differential equation where y = 8 when = 0. y + 3y x + 3 = (x+3)8

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Q: Solve the following initial value problem using Laplace transform d'y dy dt -2y = 6e³t; dt² y (0) =…

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Q: Sylvia had planned a shopping trip to the United States so she bought US$500 from a bank when the…

A: Concept: Sylvia has US$500 First, the exchange rate was US$0.7834 for C$1 Then the exchange rate…

Q: 29 ² (²4) is the derivative of a function g(x). Over which one of the following intervals is the…

A: Given :g'(x)=x2x2-4x2+1

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Q: Gym A Gym B Total Monthly Cost vs. Number of Visits C Number of Visits Total Monthly Cost 10 55 70-…

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Q: Given f(x, y, z) = xV/x² - yz - - Determine of дz . O of дz of дz af дz of дz = = x² - у 2√x² - yz…

A: Find the derivative

Q: 니 - ****** سر ** x² coscyldy dzdx

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Q: Find y. x³y³ + 3x = 8y³ +1

A: Given: x3y5+3x=8y3+1

Q: x³ - y³ z = f(x, y) = x² + xy + y² 0 for for (x, y) = (0,0) (x, y) = (0,0)

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Q: 11. Use L'Hopital's rule to find the following limits. x² + 3x-4 x-1 (a) lim x-1 In x xx-1 (b) lim

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Q: Identify and sketch the graph of y = x² + 1 in R³.

A: Given:

Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check…

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Q: Find f'(x) for the following function. Then find f'(8), f'(0), and f'(-9). f(x) = − 7x² + 10x

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Q: 32 Which one of the following is the general antiderivative G(a), for g(x) Note: CER Select one…

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Q: 4.2.2. Find the integrating factor by inspection then solve the following differential equation.…

A: A detailed solution is given below.

Q: Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x =…

A: Given P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4 - 5100 P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4

Q: Which of the following is the vector equation of a plane that contains the line y+2 *5³-22-3¹ and…

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Q: area enclo fencing is m². Fence ε = www. 10x Building

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Q: What is the lim 0 (sing - )? If your answer is a Whole Number Fraction (+) Positive Infinity (-)…

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Q: 31 Suppose h(x)=¹-42³. Which one of the following is true? Select one alternative: O The first…

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Q: x-2x +x= 15; x (0) = 7, x (0) = -16 hand written plz

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Q: (ii) Suppose z = f(x, y), where x = g(s, t), y = h(s, t), g(1,2) = 3, gs (1, 2) = −1, gt(1, 2) = 4,…

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Q: ki a) limx→∞ f (x) = b) limx-f(x) = c) limx-of (x) = d) limx-3f(x) =

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Q: For the function y = (x − 2) In x, what are the two x intercepts, and between the two intercepts, is…

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Q: Consider the initial-value problem y' + ey = f(x), y(0) = 1. Express the solution of the IVP for x>0…

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Q: For the next three series, (a) determine the radius of convergence, (b) determine for which the…

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Q: Which function is Chain Rule most useful for? Composite function Polynomial function Logarithmic…

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Q: Let A = 4 -8 -2 and B= 2 -3 6 0 and let x = 6-4 and y= sint. Find Ay and Bx. Are the products Ax and…

A: Given A = 40-26-83 B = 26-306-4 x = 3te-t y = t4sin tcos t

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A: The simple use for plane and point and normal vector..

Q: 0 Given the piecewise function f(x) = 5-x 5-z What is f (4) ? Answer: f4 (4) = What is f¹ (4) ?…

A: Given function:-

Q: Given the piecewise function f(x) = = Why is f not differentiable at x = 0? f is discontinuous at x…

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Q: Question 6c. Consider the region enclosed by the functions f(x) = √√x and g(x) =−x√x+2√x c) Find the…

A: Topic = Area

Q: Give the general equation of the plane containing the point (3,-1,4) and 2-2 -3 4. | perpendicular…

A: given plane pass through the point(3,-1,4)

Q: Culator. A particle is moving with velocity v(t) = 1²- 9t+18 with distance, s measured in meters,…

A: The objective is to find total distance travelled.

Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

A: The function z=fx,y=x2-xy+y2 subject to the constraint x2+y2=8

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: A 1 lb sponge initially contains 5 lb of water. As it is lifted up from the ground, the sponge loses…

A: Answer is option d here decrement in water is linearly (as constant rate)

Q: You may use your calculator. A particle is moving with velocity v(t) = t2-9t + 1 seconds inclusive.…

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Q: Based on the graph of the function below, where do the discontinuities of f(x) occur? x = 1, x = -1…

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Q: The graph of f is given below. -2.5 -2 -1,5 Why is f not differentiable at x = 1? Of is continuous…

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Q: 2.) Determine whether the geometric series is convergent or divergent. If it is Σ(13) " n=1…

A: To determine  whether the given geometric series is convergent or divergent. If it is convergent, to…

Q: Determine the volume of the solid formed by revolving the region bounded by x² + y² = 4, y = 3x, and…

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Q: 16. True or False: (a). Every element in a cyclic group (G) is a generator of G. (b). A group (G, *)…

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Q: Given the graph below, what can you say about the function at x = 1? Continuous Not Continuous

A: Follow the procedure given below.

Q: f(x) = 2²3 on (0, ∞) x+3

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Q: What is the derivative of y = √/x? 1x² X 2 2 1 X X 2 23

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Q: What is the equation of the tangent line to the curve y = x^ + 2x? −x+8 +2x2 where x = 1? y = 7x - 3…

A: Let's find equation of tangent line.

Q: 5. 1-cos2y 1+cos2y dy

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