The differential equation 3y(x -1dx+(x³ +8y– 3xdy = 0; is exact because OM ON %3D

Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

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Q: y dy = x(1 + x²)1/2(1 + y?)!/2 dx %3D

A: We need to solve D.E.

Q: Solve the initial- value problem: 1: xdy =0 ; y(1) =- xcos ( /x)-y dx + 4

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: (x+1)dy = (2xe* - xy - 2y)dx 90° %3D 381 -IS3

A: First we find integrating factor then find particular integral. 

Q: (I'o67 =7 %3D 2. of

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Q: Choose the correct graph of y = cos x, -T< x< T: 37 2

A: Given the query is find the graph of the cos function.

Q: 1. lim (x+ 2) r→4

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That ...

A: Given: N'(t)=0.049 N(t)Therefore:dNdt=0.049 N

Q: hCt)-5t (1-ビ ((チ1) (け)

A: Given query is to find the derivative of the expression using product rule.

Q: 6. f (x) = x* - 1; c= 1

A: Solution )lim x → c f(x) = f (c) F(x) = x4 - 1  And c = 1  lim x → 1 f(x) = f(1) f(1) = 14 - 1  f(1)...

Q: B. Determine if lim f (x) = f (c)

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Q: Evaluate the limit 5(y? – 1) lim y→4 8y2(y – 1)°

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Q: An average of 90,000 people visit Riverside Park each day in the summer. The park charges $27.00 for...

A: NOTE: Refresh your page if you can't see any equations. . An average of 90,000 people visit Riversid...

Q: Consider the indefinite integral r8x³ + 7x² + 45x + 36 dx x4 + 9x2 Then the integrand has partial fr...

A: Consider the indefinite integral ∫8x3+7x2+45x+36x4+9x2 dxThen the integrand has partial fractions de...

Q: The integral expression J 2x sec( 5x) tan (5x) dx can be evaluated using integration by parts of the...

A: Given that: ∫2xsec(5x)tan(5x)dx

Q: Use a calculator to solve the following equation for 0 on the interval [0, 1]. cos (0) = –0.133 Roun...

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Q: f SinA Differential Equations 2. 10 A cos'x sin x dy + (y cos³x - 1) dx = 0

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Q: Evaluate the following double integral (x², coS y – sin x)dxdy.

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Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O...

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Q: 3-cos* (n)+2n 1. Let an Show that the sequence {an} converges using the squeeze %3D theorem. Show al...

A: As per our guidelines, I can answer maximum one question. Since you have asked for multiple question...

Q: According to the World Wildlife Fund, a group in the forefront of the fight against illegal ivory tr...

A: Given: f(t)=8.37t+7.44    if 0 ≤ t ≤ 82.84t +51.68  if 8 &lt; t ≤ 30  

Q: Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown. F ...

A: topic - functions and derivatives

Q: An+1 Use the ratio n to determine if the sequence is strictly increasing or strictly decreasing. 2n ...

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Q: dy r +3x+3 Find if y= I + 2 da dy da

A: Given query is to find the derivative of the expression.

Q: Find the inverse function of f. f(x) = x x + 3

A: Given: f(x)=x/(x+3)

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A: We need to find material needed.

Q: evaluate the following limits by completing the table of values. write your answer to the nearest wh...

A: Follow the procedure given below.

Q: Find an equation for line that passes through point p(8,6) and perpendicular to v=2i+3j

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Q: Question 3 Use the method of Lagrange multipliers to find the minimum of f (x, y) = xy? subject to t...

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Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population ...

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Q: Find the inverse for the following function f(x), and find the domain and rang for f(x): x+2 f(x) x-...

A: Given that: f(x)=x+2x-7

Q: 12. Determine the definite integral 7 sint 0 cos3 0 de

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Q: y = (r2 – 7r)e" y' =

A: We have to find derivative

Q: Explain how you would approximate the slope of the tangent at a point without using first principles...

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Q: An object is moving in the clockwise direction around the unit circle x + y- 1 As it passes v2 v2 th...

A: Given:      x2 + y2 = 1  Point: ( √2/2 , √2/2 )   dy/dt = -4

Q: A man starts walking north at 6 ft/s from a point P. Five minutes later a woman starts walking south...

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Q: The function f (x,y) =e" + 3tan an( y/x) is homogeneous of degree А) 3 в) 2 cC) 1 D) 0

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Q: 1 1 b lim 6→7 b – 7

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Q: x'dx vdu Using udv =uv The integral expression / can be evaluated using integration by parts of the ...

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Q: Consider the following vector function. r(t) 4t, (a) Find the unit tangent and unit normal vectors T...

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Q: The following series converges. Compute the sum. 3. 2e()" n=2

A: The given series,        ∑n=2∞2e3πn

Q: Solve for the derivative of the following trigonometric function 1. у 3D 6seс Зх 2. x = cos4t 3. у%3...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Determine the infinite limit (show the details). X-2 (a) lim x-4- X-4 X-3 (b) lim x+2 (x-2)2 (Hint: ...

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Q: Quadratic Formula Linear Equation in one variable x 2 + 8x + 25 = 0 Quadratic Equation Quadratic Fun...

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Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is...

A: 1 angstrom = 10-8 cm total heightpitch = Total number of turns

Q: The partial fraction decomposition of 4x 12 can be written in the form of 8x2 + 30x + 7 g(x) f(æ) + ...

A: We have to find the value of f(x) and g(x) 

Q: x-1 ifx1

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Q: Write equations that correspond to a mental method for calculating the difference below. State speci...

A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...

Q: Express the repeating decimal as a fraction. 0.2513 23 23 23..

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Q: Find unit vector in the direction of . Show all your work on your own paper; leave the box below BLA...

A: We are asked to find the unit vector in the direction.