Question 10 1+ cost = | cor*rdt cot'rdt I- rost

Q: d?y dy + 5 14y dx2 dx Determine the Characteristic Equation for the given Differential Equation.

A: For solving such differential equation we put y=erx, where r is any constant.Since , d(eax)dx= a eax...

Q: Find the limit. lim, 40(1 + 10x )" where r = 4/x. Write the exact answer. Upload your work in the ne...

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Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. 37x dx x* +...

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Q: OBTAIN A FAMILY OF SOLUTION 2. (x - yny + y In x ) dx + x CIn y - In x)dy =0 3. [x - yarctan (y/x)]d...

A: This question is related to differential equation.

Q: . Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. a...

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Q: Given y= (10x+18ex )9 , find dy/dx

A: The given function,      y=10x+18ex9

Q: The height (feet) of an object moving vertically is given by s = - 16t2 + 144t + 108, where t is in ...

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Q: The derivative g' of a function g is continuous and has exactly two zeros. The second derivative g'"...

A:   a) Evaluate integral from 5 to 1 of g'(x)dx. (problem also attached as a picture). Show your work....

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Q: Find   Where C is the boundary of the area bounded by the graph y = 3x and y = 4-x2 with a positiv...

A: We know that Green Theorem state: ∫CPdx+Qdy = ∫∫D∂Q∂x-∂P∂ydA

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Functi...

A: Slope will be same and there will be 2 equations. 

Q: 1. Find the limit of the following: х* — 11x5 + 37x* +6х3 — 297x? + 621х — 405 - lim,-3 А. x→3 x° — ...

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Q: find the equation of y where dy/dx = 3x + 5 and y= 6 when x = 0

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Q: 4а — 2b — Зс + d — 3 2а - 2b — 5с %3D — 10 || 4а + b + 2c +d — 17 За + с + d — 12

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Q: (2xy + 1)dx + (x² + 4y)dy = 0 (17) (18) (6xy + 2y² – 5)dx + (3x² + 4xy – 6)dy = 0

A: 17)   Given that 2xy+1dx+x2+4ydy=0  Here  M=2xy+1,       N= x2+4y Therefore     ∂M∂y=2x,            ...

Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

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Q: Use algebra to simplify the expression before evaluating the limit. In particular, factor the highes...

A: We need to calculate the limits here, we will take common multipliers and will cancel out.

Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

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Q: Find the general solution of у" -у - бу %3D 6х3 + 26 sin 2x

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Q: 6et-8) _6 if 0 8

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Q: Suppose 1000 people enter a chess tournament. Use a rooted tree model of the tournament to determine...

A: Let a1, a2, a3, a4, a5,....................................a1000 are the participant. As per rooted ...

Q: |The vector projection of v = 4î + 4j + 4k onto W = 5î - 4ĵ + 3k is aî + bî +cê: where the exact num...

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Q: tes of any local and absolute extreme points and inflection points. Graph the function. -3 tes of th...

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Q: Find the linearization of the function f (x) = x at a = 1. a Va lal sin (a) L (1) Using this linearl...

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Q: Determine the gradient of the curve 3xy + y² = -2 at the point (1, -2)

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Q: Question 8 A True B False

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Q: Exact Differential Equations (16) (17) (2xy + 1)dx + (x² + 4y)dy = 0 (18) (6xy + 2y² – 5)dx + (3x² +...

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Q: Find the partial fraction decomposition of the function. Write answer in simplest form. x² +x+1 a) f...

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Q: 3. (10 — 6у + е 3а) da — -32 2dy = 0

A: The given differential equation is: 10-6y+e-3xdx-2 dy=0

Q: IT sin't cos*t d t

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Q: 2y" + 7t y' + 9y = 0 betermine the Characteristic Equation for the Differential Equation and then So...

A: Topic:- differential equation

Q: CAn equation of the plane through the point (2, 5, 7) that is parallel to the line 7 (t) = 3î + 2ĵ -...

A: Given problem:-  Find an equation of the plane through the point (2, 5, 7) that is parallel to the l...

Q: dt 15+2t-t

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: what is the derivative of y=e^-1/2x(C1cos3x+C2sin3x) and evaluate if x=0, y'=8

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Q: Determine the particular solution of y"– 3y'+2y= 4e"; y(0)=-3,y'(0)= 5 using Laplace and Inverse Lap...

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Q: Find the values of 'a' and 'b' that make the following piecewise function differentiable everywhere....

A: We have to find the value of a and b

Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: if g(t)=4t^3-t^2, find all t for which g’(t)=0

A: Using derivatives.

Q: che general solution of -V - 6y = 6x3 + 26 sin 2x

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Q: 3 2t + 3 h(t) = 6 t2 Find h'(t) *

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Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.

Q: tan-1n Determine whether E is convergent using integral test. Zn=1 n2+1

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Q: f(9) = 2, f(2) = 3, f'(2) = 13, f'(9) = = 13 Find F'(9) and G' (9). F'(9) : G' (9) =

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Q: л3 160х - 3x? - 2ху- 2у? + 120у -18

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Q: xl² -1), 2 x +1

A: To evaluate:∫xx2-1x2+1dx

Q: f(x.y) = xy' - 2x, P = (1, 1) 2.3 (a) In the direction of v (3.3) (b) In the direction toward the po...

A: Q(18).    Given f(x,y)=x2y3-2x, P=(1,1)

Q: Repeating decimals can be expressed as an infinite series. Use the sum formula for an infinite geome...

A: The given number 0.81

Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

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Q: 8. Find the exact value of each expression. 3V34 tan cos 34

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