(2x-y + 2) dy + (x-2y+4) dx =o

Q: divergente Evahate Determine whether eacn thuse that are integral is Convergent. or Converyent. 2x d...

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Q: E Homework: Homework 5.4 Express as a single logarithm and, if possible, simplify. log a +4 log b lo...

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Q: (b) If u =x cos y+ye", where x = s+2t and y = st, prove that %3D ди ди 2 (s – 21) (x² siny – xye" – ...

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Q: Find the second derivative of vx - Jy= 4 when x = 1. 2 1 -1 -2

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Q: a² +x – 6 + a |æ – 2| if x 2 - 2| 2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: we will use the notations A, B, and C to denote the angular measure of the interior angles of the tr...

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Q: 11. у" - у" - у +у%3D0

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Q: (x'y-xy°)(xdy+ydx) 3. +dy = 2xdx

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Q: (a) Find the point of intersection of the tangent lines to the curve r(e) = (5 sin(at), 6 sin(æt), 4...

A: Given:   r(t) = ⟨ 5 sinπt , 6 sinπt , 4 cosπt ⟩    When t = 0 and t = 0.5

Q: Write the first five terms of the sequence: {Vn² + 7n – n}n=1 Determine whether the sequence converg...

A: The given sequence n2+7n-nn=1+∞

Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

A: We have to solve given Integral by reversing the order of integration.

Q: Solve the differential equations. dy = (y²xe** – 3x²y)dx

A: Given:- dy=(y2 xex3 -3x2y)dx  To find:- General solution for given differential equation

Q: Convert the angle to D°M'S" form. 44.27° 44.27° ='O'0"

A: The angle is 44.27°  

Q: E Homework: Homework 5.4 4 6 in terms of sums and differences of logarithms. 4 9 m'b Express log 4 6...

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Q: For the function f(x) = 1 – 1/ (x + 2)2, find the following: f(-x)

A: topic- functions

Q: Graph the line x - 2y = 4 and find its intercepts.

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Q: Solve the limit using table of values.

A: Given that: r(x)=x-2x+5,               x≤-44,                       -4<x<0x2-7x+4,          0≤...

Q: (1+x*)dy + x(1+ 4y²)dx =0

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Q: dy + 2xy = 4x dx

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Q: For real number p, let f and g be defined by f(x) =e=*³ and g(x) = 1/x", respectively, on [1,00). р,...

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Q: 31. (a) Use the Quotient Rule to differentiate the function tan x f(x) see x (b) Simplify the expres...

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Q: aterminate form, use factor 2-1 1. lim X14x+4 +2x-15 2. lim I-3 x+4x-21 x+x-20 3. lim X-4 r-64

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Q: - 2x – 20 A B x2 + 10x + 24 r + 4 x + 6

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Q: Solve the differential equations. (y Jri i y²) dx xdy When x=V3, y = 1

A: y-x2+y2dx-xdy=0

Q: Evaluate the expression. 3 4 O A. -81 O B. 81 Ос. 81 1 O D. (-81)

A: We can find the answer as below in simplified form.

Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A: Let's find. 

Q: Let f(x, y) = (x² +(G))°. Determine the directional derivative of f at the point (1 0) in the direct...

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Q: 10) Find lim [ g (x-2) / f(x) ] = _ A) 3/ 7 B) 1 C) 7 D) 7/ 3 lim g(8x-f(x+2)) = X 1 11) Find A) 1 B...

A: We have to find the value of the limit                                  limx→3g(x-2)/f(x)       and ...

Q: -4 -3 -2 -1 4 2.

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Q: Find the diffetential equation of the family of plane curves described, Draw at least three members ...

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Q: If * = 2 tan(0), then a. cos(0) Vx2 + 2 Ob. cos(x) = Vx2 + 4 c. sin(8) = Vx2 +4 O d. cot(0) 2 е. sin...

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Q: Show, without reference to right triangles, that arctan x + arccot.x = }r for all real x. HINT: Use ...

A: Solution -  To show,  arctan x + arccot x = 1/2π  for all x 

Q: secx dx csc x 4

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Q: 1) Sketch the graph and r =10

A: Given r=10

Q: (b) If f(x) = anx", specify the domain of f. %3D

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Q: In | lim x |

A: We can solve the limit as below 

Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

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Q: 2 3 хе dx

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Q: 2. у - 4x(2y -у) – y) %3D

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Q: - ydx + (x ++ y )dy 0

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Q: - ydx + x(Inx – Iny - 1) dy = 0, when x = 1, y = e %3D

A: Let's find. 

Q: In Exercises 35-46, find the intervals on which f is concave up or down, the points of inflection, t...

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Q: /1+x-1 lim 1-0 V4 - a - v4- x2

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Q: Question 4 (а) Evaluate, with the order of integration being reversed, an equivalent integral of the...

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Q: 1 Solve the equation: 1 x + 3 1/4

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Q: Find the indefinite integral in each of the following. Show all necessary solutions. xdx 1. V3- 2x -...

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Q: The half-life, T, for a particular radioactive element is 15 min Find the decay rate of the element ...

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Q: Let f(x, y) = (x+(G))'. Determine the directional derivative of f at the point (1,0) in the directio...

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Q: 3. Let P= and Q = . Find the values of a and b such that Pis parallel to Q.

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Q: Question 2 For positive integer n, let a, (-1)"n 3" (a) Determine whether the sequence {an} is conve...

A: Let <an> be a sequence such that an≠0 for all n∈ℕ and an+1an→l . If l<1 ,then limn→∞ an=0.