(3'0)1d メニ THE INDEN i3) FEND EQUATEON

Q: (3x*y+4.xy +6)tx + (x³ + 6x°y² -1]ty = 0 1.

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Q: 4. The differential equation (3.y-4y' +6)dx+(x' – 6x?y' -1)dy = 0is exact because %3D aN

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Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

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Q: y = C1e2" + C2e¬*

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Q: For the given p-series, identify p and determine whether the series converges. 4/3 k=1 p = Therefore...

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Q: Find the dimensions of a rectangle with area 1,331 m2 whose perimeter is as small as possible. (If b...

A: Area of a rectangle is 1331 m2, whose perimeter is small as possible.

Q: 2. Y = (7x + 2)s ;Y"

A: Given : y = (7x³ + 2)⁵

Q: dy y(ln y - In x+1) | da

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Q: The curve y = ax + bx + c passes through the point (1,8) and is tangent to the line y = 5x at the or...

A: Given that: y=ax2+bx+c passes through (1, 8) and tangent to line y=5x at origin.

Q: Which of the following differential equations can be classified as separable and exact?

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Q: If f(x) = x² +- k find k so that f has a critical number at x = = 3. а. 6 b. 27 с. 216 d. 54

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Q: Find the slope of the line tangent to the given curve at the indicated poin a. f(x) = 3x + 10 at (-3...

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

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Q: (1+ ye + xye")dx + (xe + 2)dy = 0

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Q: The expression ả o (b × č) represents O a scalar O a vector O a line something that does not make se...

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Q: iii) Set up an integral for the area of the surface generated by rotating the curve about the y-axis...

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Q: Use  f(x) = 3x − 5 and g(x) = 4 − x2 to evaluate the expression. (a)    f(f(2))   (b)    g(g(3))

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Q: PROBLEM 1: f (x) = 4x + 7 at (2,15)

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Q: of (x) 3 at x=2. x+1 Find the slope of the tangent to %3D

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Q: eliminate the arbitrary constants y^3(x+2y)=c^2y

A: To eliminate the arbitrary constant we have to differentiate the function wrt x.

Q: Evaluate the limit. Vx2 + 3 lim 3x2 + 1

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i ...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: The inequality a ob < 0 imples that the angle between the two vectors is O obtuse O the right angle ...

A: From given information  

Q: 3 PROBLEM 2:f(x) at (-1,3) x+2

A: topic - slope of a tangent line

Q: y^2/x(x+y)=-y' evaluate the DE

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

A: Let the given number be x

Q: sechudu 7 2tan e" + C = tan (sinhu)+C

A: Note :- second line of your answer is wrong after conversion. I am providing you right solution plea...

Q: 1) Sketch the graph and test the symmetry of the following : r =10

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Q: 3.b) Eliminate the Ar bitrary Constants in the equation B.a) Eliminate the Arbitrary Conatanta in th...

A: Using differential equations. To eliminate arbitrary constant 1.differentiate given equation as many...

Q: e+ = e2a-y C = e? 1 C = - O Option 4 Option 2 C =-e

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Q: Which of the following describes a plane perpendicular to the vector n = (2, 1, -4) and contains the...

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Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

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Q: solve the area bounded by the curve y=4x-x^2 and the lines x=-2 and y=4

A: To find out the area bounded by the curves.

Q: 2. (2.xy – sin x}dx+ (x² - cos y ldy =

A: We will solve the given differential Equation.Below find the solution in the image.

Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the vo...

A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-a...

Q: Find the derivative of y=arcsinx with respect to x || 3x? b. V1-x 1 3x2 1 а. С. d. .6

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Q: You want to be able to withdraw $20,000 from your account each year for 15 years after you retire. Y...

A: Deposit amount per year should be:-

Q: 22. Determine Sz sin? y cos y dy

A: Given that: ∫0π2sin2ycos6ydy

Q: 59. HOUSING STARTS Suppose that in a certain community, there will be M(r) thousand new houses built...

A: The function M(r) is given as  M(r)=1+0.02r1+0.009r2

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Please explain, in your ow...

A: Aim: to find the indefinite integral: ∫(36x5-18x)dx Concept used: If the indefinite integral is in t...

Q: Whet is the particular solution if y(1)-07 zy = y+ (x² + y²)² y =z sin (In z) Arcsin 2- - In z + 1 O...

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Q: 7. If cos 0= where 0< a< 2, what is csc 0? 2 A) +- C) 4-a a В) + D) +- 4-a 2.

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Q: 1.. The differential equation (3x² + 2.xy + 4y²)

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Q: Find DE using variable separable cos/dx + 1/ydy=0

A: Given that: cosxdx+1ydy=0

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: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: dy y - 5a* – 3x + 2x = 0 dx 2y = 5z + 6z? – 4z ln z + cz 5y = 2z' + 4z? - 6z In z + cz O Option 1 O ...

A: We will solve the given differential equation.Below find the solution in the image.

Q: 3 4. lim = 1 1 х-3 ух — 2 — V4 — х 12. х2 — 1, 2 1 5. lim х-з \x — 1

A: Given that: 4. limx→3x-3x-2-4-x=15. limx→31x-1-2x2-1=12

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: Evaluate using trigonometric substitution ∫(x+4)/(x^2-9)dx

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