Determine whether (6x+y^2)dx + y(2xy-3y^2)dy = 0 is exact or not.

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D %3D v (0, 6) %3D b =

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: The objective of the question is determine the interval in which given vector-value function is…

Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b)…

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Q: Solve the following differential equation using variation of parameter. 4y" – y = xe"/2; y(0) = 1,…

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Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

A: The given function is;  f(x)=-6x/(6x2+8).

Q: Si la serie E, a, es condicionalmente convergente, determine cuál de las siguientes series es…

A: The series ∑n=1∞an is conditionally convergent.

Q: Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

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Q: 4) Owners of a boat rental company that charges customers between $85 and $375 per day have…

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Q: ind an equation of the plane with the given characteristics. The plane passes through the points (4,…

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Q: ||r'(t) × r"(t)|| ||r(t)| Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk…

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Q: Find two unit vectors in 2-space that make an angle of 45° with9i + 4j. NOTE: Enter the exact…

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Q: Solve the following system of differential equations. dx —х — у, || dt dy Зх — у dt

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Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. sin (80) d0…

A: The given integration,θ    ∫sin38θ dθ

Q: 12. The next iterative value of the root of x² – 4 = 0 using secant method, if the initial guesses…

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Q: The diagram at the right represents the height of a blimp flying over a football stadium. Find the…

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Q: Find the curve given by x = vt and y =(? – 4), t 2 0 find the slope and concavity at the point (2,…

A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0

Q: dy = 3 , find dt dx when x = 1 dt x and y are functions of a third variable t. If Væ + Vỹ = 4 and

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Q: r(t) = cos(Tt)i– In(t)j+ vt – 6k; to =7 |

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Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

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Q: The function given below is discontinuous at x = 1 - 4 I1 O TRUE O FALSE

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Q: 13 For the sequence an = n +1' its first term is its second term is its third term is its fourth…

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Q: dx 7. J x3 Vx2-4

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Q: 12. SHOW ALL WORK For the given point (6/3, 6) in rectangular coordinates, find equivalent polar…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Solve the exponential equation. Express irrational solutions in exact form. (7/5) ^ x = 9 ^ (1 - x)

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Q: Determine whether the given series converges or diverges. 4n – 8n 5" n = 1 converges O diverges If…

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Q: 1 2 1. Find the area bounded by the curve y =x² + 5, the x-axis, and the vertical lines x = 2 and x…

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Q: Use the Mean Value Theorem in applications Question If a rock is dropped from a height of 37 ft.,…

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Q: Find the Taylor series centered at r 3 for the given function. f(r) = In(x + 2) a) Find the…

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Q: Determine the general equation of the plane 2 passing through the point P(-1,4, 5) and parallel to…

A: Follow the procedure given below.

Q: se the General Power Rule to find the derivative of the f y = 124x2 + 5

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Q: 4. S ( 12 x³ + 15 x - 20 ) dx 5. S 10 x2/5 dx 6. § 3 ³V x8 dx 7. S ( 8 + 2 dx x3 x4. 8. S ( 2x³ -…

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Q: Consider the following. f(x) = 2x - 5 h(x) = x2 - 1 2x - 5 g(x) : x2 - 1 Find f'(x) and h'(x). f'(x)…

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Q: y 4 3 2 -6 -5 +4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 y = f\x) -4 1.

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Q: x² sinh x dx

A: Let's find.

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: 2 -x Evaluate lim x-2 x5 - 32 1/-60 O 1/80 O NONE OF THESE -80 O -1/80

A: The given limit,                 limx→22-xx5-32

Q: F (x, y, z) = x²yz² – 3xy°z + 2y°z²

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5 + 3n3…

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Q: given magnitude and the same direction as u. Magnitude ||v||-5 Direction u- (-4, 6, 4) Submit Answer

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Q: Find the following. u = (0, 1), v = (5, -3) (a) |u|| (b) ||v|| (c) |u + v|| (d) |u| M (e) U + V (f)…

A: We can solve this as follows:

Q: п+1 Given that 0.47199 determine the value of ) n +1 n3 n=3 n3 n=5

A: Given: ∑n=3∞ n+1n3 =0.47199 To evaluate: ∑n=5∞ n+1n3

Q: Find the mass of the sphere x2 + y2 + z2 = a2 where the density at any point is two times the…

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Q: Find the intervals on which f is increasing and decreasing. f(y) = sin y - y cos y on 2' 2

A: Find your answer below

Q: 5. S(-3 Vx- 6x Vx) dx

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v= (0, 6) %3D b =

A: Explanation of the answer is as follows

Q: If 0 = then sin(8) = cos(e) %3D Give exact values. No decimals allowed! Submit Question

A: Given θ=2π3We can convert given raidans to degree. So, 2π3=2*1803=120°120=180-60We know that…

Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative