Give the actual solution of dy -= 2xy² + 3x²y² if y = -1 when x = 1 dx

Q: Find the limit using lim 0-0 lim y →0 sin 12y 5y sin 0 0 = 1.

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. = e-4/√n lim…

A: Given  an = e-4n.

Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by C(x) =…

A: We have that, The daily cost (in dollars) of producing LG ultra high definition televisions is given…

Q: 1) If f = {(0,4), (1, 5), (4, 7), (5, 9)) and g = {(-1, 3), (1, 5), (2, 6), (4, 9), (8, 10)),…

A: Let's solve for all function.

Q: How can you find the slope of a line which passes through two points with only the given…

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Q: Find the midpoint of the line segment with the given endpoints (-2,-4)and (-5,-7) The midpoint is 2…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y = ((x³- 2)/(x³ + 1))³ dy/dx =3( x³-2/ x³ +1 )² × [ ( x³ + 1)3x² - (x³ - 2) .3x²/ (x³ +1)² ] dy/dx…

Q: 618 x 99 6182

A: using simple multiplication

Q: Find the following limits. Show all work a) lim x-0 b) lim X-8 c) lim X18 √2x+1-√√x+1 X 2x³-3x+1…

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Q: e selling price of a refrigerator, is $678.70. If the markup is 10% of the dealer's cost, what is…

A: Given query is to find the dealer's cost.

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A: The objective of the question is determine volume of the given bounded curve.

Q: 8) (4+8)+16-9+24÷6 10) (2+8)+10² +60÷10 =12

A: Given expression, 8. (4+8)+16-9+24÷6 10. (2+8)+10²+60÷10

Q: If h(2) = 3 and h'(2) = −8, find. d/dx(h(x)/x) x=2

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Q: 3. (y²-2xy +6x) dx- (x²-2xy +2)dy=0

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given function, y=x2-1x

Q: Prove lim(2x+3) =.

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Q: lim Y->+00 In (ett & +4e¯Y)

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Q: UPVOTE

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Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

A: since you have posted multiple question, I can do first question as per our company guidelines.…

Q: 5. Rewrite the expression as an algebraic expression in x. X cos( 1¹ (3)). H≤3 |x|≤3 (a) cos sin

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Q: y = 3x³-2 5x243

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Q: 2 12. S', [|x + 2 + 1] ²¹ dx | X -4

A: The objective of the question is slove the definite integral.

Q: Write an equation for the function graphed below. -6-3-43 g(x) = V 4 4 3 2 46 && वि

A: From the graph we can see that g(x) cuts x axis at two points

Q: 2x + 3y - 1) dx + (4x +6y + 2) dy = 0 Give the: a. homogeneity b. degree c. reducible…

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Q: 8. Sketch a possible graph of a function g, together with vertical asymptotes, satisfying all the…

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Q: 1. Evaluate lim h→0 if f(a+h)-f(a) h f(a)= a² - 4a +6 2(a+2) O2(2a-1) O4a-2 2a-4 None of the Choices

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Q: 4. y=x+c₁e* + C2e-* y" -y + x = 0

A: Since you have posted multiple question, I can do first question as per our company guidelines.…

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Name: opez Show work/reasoning. 1. Solve the initial valued problem: y'=e' with y(0) = 0. Give your…

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Q: 7) Write the algebraic representation for the given piecewise function, using function notation. (…

A: When x≤1f(x) is the upward parabola with vertex (0,-2)

Q: y = x(2x + 1)³, find y".

A: Topic = Derivative

Q: Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 8-x, x 6.

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Q: y = x(2x + 1)³, find y".

A: Our Aim is to find the double derivativey" of the function given below:-y=x2x+13 -(i)

Q: 3 dx - (3xsiny + 2ysiny-2) dy=

A: Let's solve given differential equation.

Q: 4. Find the exact value (in exact form) of sin

A: cos(2x) = 1-2sin2(x)

Q: 2 11. S ² | x - √x |dx 0

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Q: Find the derivative of each function using the basic properties of differentiation. 1. f(x) = 5-7x…

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Q: K Use the graphs of f and g to find (f+g)(-2). (f+g)(-2)= gi Q Q

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=3x5-4x3-5x2

Q: Consider the function f(x)=√x near x = 8. Find the linear approximation error when using the linear…

A: Given data:- The given equation, y=3x near x=8

Q: TT Evaluate the integral: (2costi+ sint j + 2tk)dt

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Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. 2 = x¹y¹ + z =…

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Q: 19) Find the average rate of change of the function from x₁ to ₂. f(x)=x²-8 x₁ = -3 to x₂ = 5.

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Q: Let f(x) = 4√ If g(x) is the graph of f(x) shifted up 2 units and left 4 units, write a formula for…

A: find the equation of g(x)

Q: y = ln(5x² + 7x + 4)

A: Given y=ln5x2+7x+4

Q: Obtain the particular solution of (3x² - 2y2)y' = 2xy when x = 0 and y = -1. Hint: Homogeneous…

A: Given

Q: 4. An object is moved along the line from the point (1, 2, 1) into the origin (distance is in…

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Q: using the definition of Laplace, solve the ff: 1. L [cos at] 2. L [cosh at]

A: We have to use the definition of Laplace transform to solve  (1) L{cos(at)}