Solve the initial value problem. (+2y²x) dx + (2x² - cos y) dy = 0, y(1) = x The solution is

Q: A chemist, running tests on an unknown sample from an illegal waste dump, isolates 61 grams of what…

A: Given: Initial amount=61g Final amount=12g  Time=66days

Q: Y = -(x-3)² + 4. Find the area of the region enclosed by the curve.

A: To find the area of the region enclosed by the following curve. y=-x-32+4

Q: A long straight river, 100 meters wide, is flowing at 1 metel per second. A pollutant is enterin…

A: To solve the following problems using given information.

Q: 18. lim 2+3 √3x + 16-5 x - 3

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Q: The positions of a point (in feet) is given as a function of time t (in seconds). s = -13 + t 15t²;…

A: If S(t) is the position function then  Velocity= S'(t) Acceleration= S"(t)

Q: I can't see the rest of your step 2 calculation answer... Can you resend it?

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Q: Find the indefinite integral. (Use C for the constant of integration.) J 3 dx (x + 9)³ Find the area…

A:

Q: provided in clear format please

A: The given function fθ=2sinθ-9secθtanθ. We have to find the antiderivative of the function. Formulas…

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A: The exponential function is of the form y=abx

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A: To find out the quantity that will maximize the profit, the selling price at that quantity and the…

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A: Given differential equation is 4(d2x/dt2)=-16x-16(dx/dt)  We have to find the value of x(t)

Q: An orchard finds that if they plant 95 trees per acre, each tree will yield 40 bushels of fruit.…

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Q: The salinity of ocean water changes depending on how deep you are in the water when you measure it.…

A: From the given table

Q: Evaluate the integral 3 √(2x + 8) (x² + (2x+8) (x² +8x+6) ³ dx by making the substitution u = x² +…

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Q: Test the series below for convergence using the Ratio Test. n² 1.4" The limit of the ratio test…

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Q: Differentiate: f(x) f'(x) || = In ( 22²2 + 2) x³

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Q: _et f(x) = Then f'(x) = 6 sin 6 sin x + 4 cos π The equation of the tangent line to y = f(x) at a =…

A: fx=6sinx6sinx+4cosx

Q: 3 If f(x) = (5x − 2)³. (5x² + 4)³, find f'(x) - using logarithmic differentiation.

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Use the chain rule to find the derivative of f(x) = 5(10x³ + 2x10) 12 You do not need to expand out…

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Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

A: The summation of (-1)n/(5n+5), n from 1 to infinity.  According to guidelines solve only one…

Q: The expression log the form xoy' 27 can be written in Alog(x) + Blog(y) + C'log(z)

A: To find out the values of A, B and C.

Q: 1. Using the definition of derivative, show that the function xez, f(x) = 1x², is differentiable at…

A: To solve the following problem and find whether the function is differentiable or not

Q: 6a. Find the Taylor polynomial for the function f(x)=√ centered at x=49 with degree 2. b. Use the…

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Q: Use the Divergence Theorem to calculate the surface integral F. ds; that is, calculate the flux of F…

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Q: (D2 – 2D + 1) y = xe + ** e X 2

A: The given differential equation is;  (D2-2D+1)y=xe+ex/x2

Q: 4. All edges of a cube are expanding at a rate of 5 centimeters per second. a) How fast is the…

A: All edges of a cube are expanding at a rate of 5 centimeters per second. We have to answer the…

Q: Determine whether the given function is a solution to the given differential equation. d²e de dt² dt…

A: Given the function  θ=3e5t-5e2t we need to calculate if this is a solution of the given…

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A: We need to decide on a function in order to locate a potential function for the supplied field, f(x,…

Q: h (8) for h(8) = sec(√6). Oh (8) = 28 Oh (e) = sec(√) tan (√) sec(√) tan(√) On Oh (0) = sec² (2√6)…

A:

Q: f"(x) = -9 sin (3x) and f'(o) = 5 and f(0) = ind f(1/2):

A: Given data f''( x ) = -9sin( 3x ) f'( 0 ) = 5f( 0 ) = 0

Q: Differentiate: y = dy da In(x) x5

A: Solving the problem.

Q: √ x³+x²+x+3 dx x4+4x²+3

A:

Q: for which values of x Valves of x does the following Power Series Convege? Ž Zi não (-1)^X^ Intl

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Q: The angle of elevation of a flying kite is 77°11′53″ . If the other end of the 198 -foot long string…

A: Given: The angle of elevation of a flying kite is 77°11′53″. The other end of the 198 foot long…

Q: If ƒ(x) = (8x − 3)³ · (2x² + 5)¹, find ƒ'(x) using logarithmic differentiation.

A: fx=8x-332x2+54

Q: If f(x) = e* and g(x)=xe-e-*

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Q: Calculate the derivative of the function. r(s) = (7s + $0.4)-1 r'(s) =

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Q: Determine the coordinates of the vertex of the following parables.  4)y = - 2x² + x 5)y = - 2x² +…

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Q: Find parametric equations for the line segment from (10, 4, 1) to (6, 6, -1). (Use the parameter t.)…

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 3, 4), b = (-1,…

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Q: ,

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Q: f(x) = -7x + 6 x² +6 if x < 0 if x 20

A:

Q: Evaluate the following integral in spherical coordinates. This integral calculates the volume of the…

A: The integral is given by ∫02π∫0π4∫04 secφρ2sinφ dρ dφ dθ To determine: The value of the integral.

Q: Determine the amplitude of the function whose graph is given below. Give your answer in exact form…

A: We are required to: Find the amplitude of the function whose graph is given below.

Q: Find an equation of the largest sphere with center (3, 2, 4) that is contained in the first octant.…

A:

Q: The manager of a restaurant found that the cost to produce 150 cups of coffee is $41.50 while the…

A: The manager of a restaurant found that the cost to produce 150 cups of coffee is $41.50 while the…

Q: 5. Sketch: y=2sin(t) {two cycles} Step one: Find the length of one cycle: Step two: Break cycle into…

A: To sketch the function y=2 sinπ2t for two cycles.

Q: evaluate

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Q: (a) Find symmetric equations for the line that passes through the point (2, -2, 7) and is parallel…

A: We need to find the symmetry equations for the line that passes through 2, -2, 7 and parallel to…