(2 x* y? + 4x² y + 2 x y² + xy* + 2 y) dx +2 (y³ + x² y + x) dy = 0

Q: 2xyy'=1+y^2 solve using separation of variable (diff eq) when y=3 and x=2

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Q: MULTIPLE CHOICE) Which of the following statement (s) is(are) true? I. y = e-/2 is a particular solu...

A:  Given perticular solution y=e^(-x/2)  And y=e^(2x)cos3x

Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr %3!

A: Here, the given function is: f(x)=x3+1 Now, the Simpson's rule formula to approximate the definite i...

Q: 3. Determine the divergence or convergence of the series 00 a) Σ (1.075)" п n=0 4n+1 b) E Зп-1 n=1 c...

A: NOTE: Refresh your page if you can't see any equations. . here the sequence is  compare this serie...

Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

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Q: х — 3 (x+ 2) (x – 1)²

A: The given integral is; (x-3)/[(x+2)(x-1)2].

Q: Find the critical point(s) of the function. S(x, y) = 4e²-}+4y

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Q: 1. Evaluate the following limits. r+ Vr - 3x a. lim r--0 r - Vr4 + 3x

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Q: 19x? 8x - Evaluate : lim 4x2 + 18

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Q: Find lim x→∞ h(x), if it exists. f(x) = 9x2 + 2x + 7   (a)     h(x) =  f(x) x lim x→∞ h(x) =

A: We are asked to find the limit of the function.

Q: Suppose that A= 2i + j, B= i – 4j + k, and Ĉ =j+k. What is the direction of vector A? A A. 26.6 E of...

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Q: Prove the following identities. cos( - ) sin x/2

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

Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x)# 0

A: follow next step

Q: 7. Solve the inequality g(r) = 9r + 9r-25r – 25x2 < 0 first algebraically and then checking your ans...

A: Given that Inequality gx=9x5+9x4-25x3-25x2&lt;0Solution :9x5+9x4-25x3-25x2&lt;0x29x3+9x2-25x-25&lt;0...

Q: 7. S(2 + tanx)²dx

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Q: Consider a function f (x, y) whose domain is R' and whose first-order partial derivatives both exist...

A: Note: The third questions need options that are not given by you. So, solving first two for you.

Q: Find the greatest volume that a right circular cylinder can have if it is inscribed in a sphere of r...

A: Here we have to find the greatest volume that a right circular cylinder can have if it is inscribed ...

Q: (MULTIPLE CHOICE) Which of the following equations is(are) exact? (A) (x - y3 +y sin z)dr (3ry? + 2y...

A: Given problem:-

Q: Find the area under the curve – 1.5 0.5x from x = 9 to x = t and evaluate it for t = 10 t 100. Then ...

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Q: The figure to the right shows d 1 - sin x and y 4 1 sin x + 4° || 1 sin x? Find values 4 Which graph...

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Q: sin 20 + cos 20 = cot x tan x

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Q: 22+4x-5 Find the derivative: y = (3a2+1)4

A: Given Find derivative of y=x2+4x-53x2+14

Q: | cot?xcsc?x dx х ах

A: We can find the integral answer as below.

Q: Find the first and second derivatives of the function. f(x) = (x2 + 6)5 f'(x) %3D f"(x)

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Q: 35. Give linearly independent functions that are annihilated by D² (D² – 2D + 10).

A: We will find roots for the equation and use concept of differential equations to find the linearly i...

Q: Find the minimum and maximum of f(x, y, z) = y + 5z subject to two constraints, 2x + z = 4 and x² + ...

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Q: e"; xo = 6

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Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

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Q: Integration by parts. cos?x sin4x

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Q: SvX (n x dx

A: Let I=∫xlnx2dxApply integration by part.I=lnx2∫xdx-∫∫xdxddx(ln(x))2dx I=lnx2x12+112+1-∫x12+112+12ln(...

Q: 4.

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Q: The equation given by 4x² – y? = 16 is a/an A parabola B) circle (c) ellipse D hyperbola

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Q: Find the dimensions of the given matrix. 16 -16 D = -9 ; d31 7 50 16 Identify the given entry. d31

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Q: VI+x – 1 lim V4– x – V4– x²

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Q: (v-8)2 + 36(x + 1)2 = 4? What are the coordinates of the center of the ellipse (A C(1, – 8) B C(-8, ...

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Q: Find the radius of convergence and the interval of convergence. k2 + 81 k=1 Radius of convergence: I...

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Q: Sun. Mon. Tues. Wed. Thurs. Fri. Sat. number of births 13 24 19 25 15 21 15 probability...

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Q: Name the quadrant in which the angle 0 lies if cot t > 0 and sint < 0. O II OIV O Not possible to de...

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Q: Question Select your answer. If f(x) = cos z, and g(x) = 5 f(2), does lim g(x) always No, because f(...

A: Given problem:- if f(x)=cosx and g(x)=5-f(x) does limx→cg(x) always exist for any real number c?why?

Q: Pennstase 2) 2Determine whether the given sequence converges or n2+ 1 ldiverges. If it converges, ca...

A: The objective is to determine whether the given sequence converges or diverges .

Q: Solve the exact differential equation. If the given is not exact, determine the integrating factor t...

A: We have to find complete solution of differenrial equation

Q: x (2x+3) f(x) = (x² +1)*

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Q: e dx (9+ e2=)

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Q: Given: cos a= -, sin B=, aand Bare second-quadrant angles; find cos(a - B) 117/125 3/5 4/5

A: We have to find the cosα-β Given    cos (α)=-2425 , sinβ=35

Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve to x = 4 ab...

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Q: Determine whether the vectors are linearly independent or linearly dependent. 7 9. [5] v, = |0|v, =|...

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Q: mine where the function is concave upward and where it is concave downward. (Enter your answers usin...

A: Given query is to find when function is concave up and when concave down.  

Q: Write the equation of a conic given by x2 – 9y2 + 2x- 54y-80=0 in standard form. (x+ 1)² (y+3)? 162 ...

A: The objective is to write the equation of conic in standard form. 

Q: Simplify sin e cos e tan e 1 tan?0 sececote

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Q: 0 0 [1 0 1 0 0 1 01 а. Lo 1] [1 0 1 01 0 1 1 Lo b. 0 0 11 [1 0 0 01 0 1 1 C. 0 0 0 0 0 Lo

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