Use the method for solving Bernoulli equations to solve the following differential equation. dy y + dx x-3 5(x-3)y Ignoring lost solutions, if any, the general solution is y = (Type an expression using x as the variable.)

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Q: Determine the value of x+1(x) when f satisfies the inequalities 1 4x ≤ f(x) ≤ =√x³- on [0, 1) U (1,…

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A: Solution: current liabilities = current assetsX

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Q: Find the area of the triangle T with vertices​ O (0,0,0), ​P(1​,2,3​), and ​Q(6​,5​,3​). ​(The area…

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Q: ƒ(x) = x² +1, (0;2π), T = 2π.

A: We have to find fourier series by the cosine f(x)=x2+1 in [0,2π]

Q: Given y = (5x + 3e*)6, find dy dx

A: Given: y=5x+3ex6 To find: dydx Required formulas:  Power rule: ddxxn=nxn-1 Chain rule: fgx'=f'gx·g'x

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Q: Find the Laplace transform of the function √3, 0<t< 2π 0, 2π ≤ t < 00 f(t) = { NOTE: Express the…

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Q: f(x) = -5 ln(7x)

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Q: Find the critical points, domain endpoints, and local extreme values for the function. 4/5 y = x…

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Q: Use f(x) = ln √x² +81 to answer the following questions. (a) Find the interval(s) on which f(x) is…

A: Given function:- fx=lnx2+81

Q: Differentiate: y dy dx = In(x) x7

A: given  y=lnxx7we know  d dx(lnx)=1xd dx(xn)=nxn-1d dx(ab)=b×d(a)dx-a×d(b)dxb2

Q: A closed rectangular container with a square base is to have a volume of 2000 in³. The material for…

A: given volume is 2000 in3cost of top and bottom is $2 per in2cost of side material is $1 per in2total…

Q: Find the critical points, domain endpoints, and local extreme values for the function. y = - x - 4x…

A: Given, y = -x2 - 4x + 6 ,    x ≤ 1 y = -x2 + 5x - 3 ,    x &gt; 1

Q: The functions fand g are defined as follows. f(x) = 2x³ +6 g(x)=-3x+2 Find f(-3) and g (5). Simplify…

A: Topic = Functions

Q: CHA ACTIVITY Enter binary numbers using four digits. Ex: 0001 446390 3160198 4x3z0y7 Conu Jump to…

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Q: 9. AAFK ANYE, LK = L? (Which angle is ZK equal to?)

A: Given: ∆AFK~∆NYE To Find: The determine which angle is congruent to ∠K.

Q: Find an equation of the circle passing through the points  (−2, 3), (−5, 6), and (1, 2).

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Q: Find the distance from the point to the plane (9,9,9)​, y+5z=0 The distance is _______________…

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Q: Find the domain and range of the function. h(x) = √√81-x² domain range

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Q: hi! can you make it clear? what's the answer for letter (a). thank you

A: Let's find slope of tangent line.

Q: The following table records some values of the functions f and g. X 012 34 5 f(x) 1 0 3 10 21 36…

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Q: Evaluate the limit: lim x = x→13 ←

A: The answer is in step 2.

Q: Graph the function by hand, not by plotting points, but by starting with the graph of one of the…

A: The given function y=5+x+3. We have to sketch the graph of the function.

Q: 22. f(x) = x³, f(a+h)-f(a) h

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Q: 5. Use the graph of y = f(x) to answer the following. a. f(-2) = -5-4-3-2-1 43 2 S - Ņ w y = f(x) 1…

A: The domain of a function is set of values that we allowed to put in our function.and Range of a…

Q: 1. Find the Derivative of the function. Show your complete solution. a. ƒ(x) = (5x² +8)(x² − 4x − 6)…

A: derivative

Q: Find the area of the triangle determined by the points P​, Q​, and R. Find a unit vector…

A: The given points are: P=-2, 2, 1Q=1, 0, 2R=0, 1, -2

Q: Let ä(t) = (–5, 3, −3)t + (−1, 2, −5) and b(u) = (-4,-1,2)u + (−3, 6, −5). Find the acute angle (in…

A: Given lines equations:- a→t=-5,3,-3t+-1,2,5 b→u=-4,-1,2u+-3,6,-5

Q: Match each equation with its graph. (Do not use technology.) -2 (a) y = x² Oh 9 f (b) y = x³ f 9 (c)…

A: Graph of the functions are given, we have to match its equation.

Q: he average rate of change of f(x) = x espect to x from x = = 2 to x = 2+ h. Simplify completely.

A: Topic:- application of calculus

Q: 5. The instantaneous acceleration of an object moving along a horizontal straight line relative to a…

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Q: Find all values of x at which the tangent line to the curve 3 passes through the origin. y = x + 8…

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Q: b) A farmer wants to put a fence around a rectangular paddock which is part of his block (see…

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Q: Problem 8. Find a parametrization of the curve of intersection of Z= and y=e* from (0, 1, 0) to (1,…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Use a triple integral to find the volume of the solid bounded by the surface y x² and the planes y +…

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Q: Solve. x+5 x+6 20 What is the solution? (Type your answer in interval notation. Use integers or…

A: We have given an inequality  x+5x+6≥0 Let,  fx=x+5x+6 Function is not defined if denominator is 0.…

Q: PART THREE: ab* + k In this part, you are going to explore the effect of parameter k to the…

A: Given: f(x)=abx+ka=1 and b=2f(x)=2x+k

Q: 8. The function g(x) is written as: 5x + 3 if x 1 Find lim g(1+x²) x-0 g(x)= =

A: To find the limit of g(1+x^2) as x approaches to 0.

Q: 3 L³ In a) the trapezoidal 1 In(t) dt, n = 10 rule X

A: As we know from the trapezoidal rule: ∫abftdt≈∆t2ft0+2ft1+2ft2+2ft3+...+2ftn-2+2ftn-1+ftn Where…

Q: Find the limit of f(t): = 55t+ sin 6t 9t + cos 6t as t approaches - c.

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Q: When a deposit of $1000 is made into an account paying 4% interest, compounded annually, the…

A: Given :   Formula for average rate of change :

Q: Find a plane containing the point (-2, —8, 1) and the line r(t) = (−1, −1, 6) + t(−4, 1, 6). -18.5x…

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Q: 600 400 200 5 10 15 20 25 30 C(q) a) Estimate the fixed costs and the marginal cost for the cost…

A: We know linear equation of line passing through two points x1,y1 and x2,y2⇒y-y1=y2-y1x2-x1x-x1