Obtain the general solution. (EXACT EQUATIONS) 2. y²dx = (xy-x²)dy

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A: To evaluate the following indefinite integral.i ∫1x6+8x-4-3x2+6 dxii ∫x4+5x+2 dx

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Q: What is the distance between the focus and directrix of the arabola y² – 8x – 2y + 1 = 0? 2 0 1 4 8

A: we will find the required.

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A: Given query is to find the statment is True or false.

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A: What should be multiplied to an angle in radians to convert it into degrees?

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A: The given function is; f(t)=sint+cost

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Q: Let the position of a swinging pendulum in simple harmonic motion be given by s(t) = cos(t) + sin(t)…

A: Given:- st=cost+sint

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Q: Evaluate the definite integral, So x(1-x)182 dx

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A: Given query is to find marginal profit function.

Q: 10. 1 5th

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Q: units Find the minimum average cost per unit. $ Need Help? Submit Answer Read It Watch It

A: Given query is to find minimum average cost.

Q: Question 3 A) Solve the given differential equation by variation of parameters: 2y" + y = 8x. B)…

A: (A) The differential equation is given as , 2y''+y'=8x Find the solution.

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Q: A sheet of paper 84 cm-by-64 cm is made into an open box (i.e. there's no top), by cutting x-cm…

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Q: If f p(E) = ²₁, find o(E) and o(E'). o(E)= o(E') Need Help? Read It Watch It

A: given  p(E)=27we know  p(E)+p(E')=1

Q: y=3-vr+2 +++ + ++++x

A: Let's draw a graph by using transformation.

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A: Given query is to find the rate ate which volume is decreasing.

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y x² 1 and x = 4. In your…

A: Area can be find by integration  The fundamental theorem of calculus

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Q: Consider the function f(t) = 5 sec²(t) — 9t³. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: Given f( t ) = 5sec2t - 9t3F( 0 ) = 0

Q: Click the best answer 10 y = (x+3)²(x² + 1) 0 0

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Q: Question 9  Given cost and price (demand) functions C(q) = 120q+ 41,500 and p(q) = - 1.9q+ 880,…

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Q: rental agency rents 420 cars per day at a rate of ​$30 per day. For each ​$1 increase in​ rate, 10…

A: Given query is to find the rate for maximum income.

Q: A thermometer inside a room reads 22°C. The thermometer is relocated outside the room. After one…

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Q: Evaluate 2 √² f(x) da, where f(x) = " 5x⁹, 5r, 4x², 0<a<1 x 1≤ x ≤ 2.

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Q: Given: z = x² + xy¹, x = uv² + w³, y = u + vew Find дz dv when u = 3, v = -2, w=0

A: Given that z=x2+xy4, x=uv2+w3, y=u+vew We have to find the value of ∂z∂v, when u=-3, v=-2, w=0.

Q: Consider the following table xf(x)g(x)f'(x)g'(x) 02 5 0 2 11 -2 3 0 24 4 1 -1 33 -3 2 3 - page What…

A: Given query is to find indicated derivative.

Q: Suppose that a car has velocity 30 km/hr for 2 hours, velocity 65 km/hr for 1 hour, velocity 90…

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Q: 25. Birth and death rates If the birth rate of a population 0.024t is b(t) = 2200eº people per year…

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Q: A ball is dropped from a height of 149.7 meters. Its height above ground (in meters) t seconds later…

A: NOTE: Refresh your page if you can't see any equations. . the position function of the ball after t…

Q: The supply and demand curves for a product are Supply: y = 500x400 Demand: y = 100x + 8000, where x…

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Q: Evaluate the integral 36 S. 6 dx x( In x)4

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Q: ours? O a. -7.1863 grams/hour O b. 0.8640 grams/hour O c. 0.5989 grams/hour O d. -0.5989 grams/hour…

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Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

A: Please see the below answer.

Q: The relative rate of change of a differentiable function is given by What is the relative rate of…

A: Given f( x ) = log5.9( x2 + 3.3 )

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: On the axes below, sketch the graph of a function f(x) that satisfies all of the following…

A: There can be many graph satisfying above condition.Below is one of them

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: What is the following limit? lim h→0 √15 + h-√15 h

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Q: Find the Work (W) done by a Force (F) that moves an object from the initial point (1, 10, 8) to the…

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Q: y = sin(x² + 2x)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3 attempts left Area under the curve = Check my work Find the area under the curve y=f(x) = 16x16x²…

A: Given query is to find the area under the curve.

Q: Differentiate implicitly to find dy/dx.Then find the slope of the curve at the given point.…

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