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Q: Find the derivative of each of the following functions using any method. 4.) f(x) =…

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Q: Distance Between Two Ships Two ships leave the same port at noon. Ship A sails north at 12 mph, and…

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Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Given a function, Based on the function, S-3 F(s) = 2 S² +6s+13 a) Determine ƒ(t). b) Based on…

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Q: for the volume below...if Cylindrical Shell method was used ...What are the limits of integration? *…

A: use cylindrical shell method   V= ∫ab2πrh dx   where r= radius of cylinder             h = height of…

Q: 10. Show that there is a root of cos(x): = in the interval (0,7). TT Do NOT find the root. Explain…

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 5 x² + 2xy dx…

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

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Q: 12 Let A be a square non-invertible matrix. Which of the following is not true? Select one…

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Q: rectangular plot (the fourth side is a er and will not require fencing). Find the dimensions of the…

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Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

A: Given: f(x) is linear function g(x) is linear function h(x) = f(x) g(x)    a linear function is of…

Q: Solve the equation | +6 - 4. The solutions are 1 = and 2 = where ₁ ≤ x2. This means x₁ is the…

A: Given,  |x+6|=4

Q: Determine whether the differential equation (4x² − 2xy + 6) dx + (2y² − x² + 4) dy = 0 is exact. If…

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Q: 3- 1 له وال * IT X I sintLy, y Ha

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Q: ſº 5u³ – 3u³ – 9du

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Q: Find the general solution of the given differential equation. xdy+3y=x²-x dx y(x) = Give the largest…

A: The objective is to solve the above question.

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: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

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Q: Find an explicit solution of the given initial-value problem. 없을 y(7) = 7 1

A: Find an explicit solution of the given initial-value problem.         dydx=y2-1x2-1  ,    y7=7

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

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Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 4√√x-8 lim X→4 x-4…

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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: 5(c) Find the rectangle with the largest area that can be inscribed in the top half of the ellipse ²…

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Q: temperature function satisfies Tx(2, 3) = 1 and T,(2, 3) = 3. How fast is the temperature rising on…

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

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Q: Find the solution of the given initial value problem. π ty' + 2y = sint, y "(-) = 5, t > 0 Y ||

A: Concept: linear differential equation of the form dydx+Py=Q The general solution of the linear…

Q: Using the definition of derivative that incorporates the idea of limit, prove that if f and g are…

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Q: Create a system of linear equations with three equations and three unknowns, solve the system of…

A: John invested his inheritance of $12,000 in three different funds: part in a money-market fund…

Q: 36 In the evaluation of fa* cos(a) dar, which one of the following is an integral that is involved…

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Q: 4. Determine if the following lines intersect. If the lines do intersect, state the solution. If the…

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Q: Task 5. What is the domain of the function a) (0, 1) b) (-∞, 1) c) (-∞, 0) U (0, ∞) esin (1/2) y =…

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Q: 3. Choose three vectors: and Use these vectors to verify the associative property.

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Q: Find the solution of the given initial value problem. π ty' + 2y sint, y = 1, t > 0 Y || =

A: In this question, we want to find the solution of the given first order non-homogeneous linear…

Q: Solve the given initial-value problem. Give the largest interval I over which the solution is…

A: We have to find the solution and the interval.

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: 2x S x5 e ²x dx

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Q: • How. Find the lengths for the following curver.. 1= r = 1 + cosa

A: Explanation of the answer is as follows

Q: m³ The volume of a large spherical balloon is increasing at a rate of 64 balloon's surface area…

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Q: The speed of sound traveling through ocean water with salinity 35 parts per thousand has been…

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Q: Use the chain rule to find the indicated partial derivatives. z = x4 + x²y, x = s + 2t - u, y = stu2…

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Q: Instruction: Evaluate the following Integrals. Write your COMPLETE solutions neatly and organized.…

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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-…

A: Linear cost

Q: -0.5 1 100³S 1-=X² dx represents the area of a region bounded by 1 O a. the vertical lines x = +0.5,…

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Q: . x + 3y = y² + 4 A. 18 3-2y B. 3-2y C. 1 2-3y D. 1 2-3y

A: As you are asked multiple questions but as per our guideline we can solve only one. Please repost…

Q: 3. Compute the net area of the following function on the given interval. f(x)=x²-4; [-2,2] -14 <-2…

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Q: 1.  Create a system of linear equations with three equations and three unknowns.     Solve the…

A: The objective is to solve the above question.

Q: sin 2x dx 4. J2osin cosmetin2xdx

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Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

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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: Find the x-intercepts (horizontal intercepts) of the function: f(x) = 2|x − 1| – 8 The intercepts…

A: To find the x intercept of a function y= f(x) ,set  f(x) =0 and solve for x .