Test the series for convergence or divergence. , n2 n =D1 n+1

Q: Find the coordinates (x,y) of the given angles. 1. 10n 4. 45* 5. 270 3. - Sm 6. 330°

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

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Let's find.

Q: Find f,, f, f,(2,1), and f,(4, - 4) for the following equation. f(x,y) = /x² + y? (Type an exact…

A: Given problem:-

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y2,…

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Q: d,e,f

A: We will solve the limits.

Q: Problem 2. Which gives the inverse transforms of the given s-domain function? s2-s3+3/s3(s+5)(s-2)

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Q: 2x + 4 h(x) = 1 2x 1 f (x) = 1 –x g(x) = 3( x + 2x 6. | 3 -- 8. a.lim -4 · f (x) d.lim (8 · f(x) –…

A: Given:      fx=1-18x      gx=3x+2x6+4     hx=2x6-2x+13

Q: Find the distance between the parallel planes – 2x + y + z = 0 and 10г — 5у — 52 — 36 — 0. NOTE:…

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Q: The evaluation of So So x y e**dxdy is 0.5 e 0.25 e - 0.5 O e - 0.25

A: Double integral

Q: Solve the given initial-value problem. 1 2 5 X' = |х, X(0) %3D 1 1 X(t) =

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Q: 4. dx + (x – y + 2)?dy = 0

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Q: I +1 5. h(a) at x = 1 x2 – 1 -

A: Factorize the denominator.

Q: Calculate -3 + li. Give your answer in a + bi form. In polar form, use the angle 0 < 0 < 27. a = b =

A: This question is based on conversion of rectangular form to exponential to polar form of complex…

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(3,…

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Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution.

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Q: (-1)" Given: In(1+ x) : if x < 1. n +1 n=0 1. Find the Maclaurin series for f(x) = x ln (1+ 5)

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Q: Evaluate and write your answer in a + bi form. [3(cos 58° + i sin 58°)]* = Round to two decimal…

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Q: 6. In the large triangle of Figure 16, m is the weight line (it bisects the side to which the line…

A: 6. The vector which bisects the line joining by two vector heads is the mid-point of the two. So,…

Q: The minute hand on the backwards clock rotates counter-clockwise 60 times as fast as the hour hand…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (2, –5) + t(1,…

A: Parametric equation of the line, &lt;x,y,z&gt;=&lt;a,b,c&gt;+t&lt;p,q,r&gt; , t is a scalar is given…

Q: 5. If the population P of bacteria (in units of 1000) is declining because of a toxin, its rate of…

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Q: Cosx sinx 1+sinx

A: The given integration is ∫cosx sin2x1+sinx dx We solve the integral by proper substitution. Let,…

Q: sin4x dx V cos4x + 1 COS4X

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Q: 9. 8- 7- 6- 2 9-8 -7-6 -5 -4 -3-2 123456 789 -2- -3- -4- -5 -6 -7 -8 -9- 9786 654 32

A: Topic = Circle

Q: Find X only using Crammers rule 2x+リ-「Z=D2 x2 -y +VZ 2 x? +2y +VN= 4

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Q: Does the following series converge or diverge? 7 Σ n=1 en-1 O The series diverges. O The series…

A: Ratio Test: Let ∑n=1∞un be a series and limn→∞un+1un=L , a real number Then this series converges if…

Q: f the following graphs is continuous and differentiable at a and (x) if it is not…

A: We have to find the following given conditions according to the given

Q: Let a = ci + j and b = 12i + 16j. Find c so that the angle between a and bis- Round your answers to…

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Q: Identify the equation as a parabola, circle, ellipse, or hyperbola. (x - 7)2 = 9 – y2 O A. Hyperbola…

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Q: 5- sin n est the series for convergence or divergence. En=1

A: Given query is to find series converges or diverges.

Q: 20. a = }, b= 2,b 2

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Q: dy Find . da Given: 3x?y + xy = sin (x + y). %3D dy %3D da 2 sin(z+y) cos(r+y)+3ry-ry 2ay? +3ry+2…

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Q: 1. Which of the following statements is true? (A) The series (-1)"+1, diverges by the alternating…

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Q: Find the vector component of v = 21 -j+ 3k along b = 4i + 4j + 7kand the vector component of v…

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Q: Question 6 Differentiate: arcsin () + arccos (2) = 1 + arccos () = 1 %3D O y/x O (E) None of these O…

A: Derivative dydx of sin-1xy+cos-1yx=1

Q: Find the vector component of v = (4, – 1,7) along b = (6, 6, –7) and the vector component of v…

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Q: rection: Determine if the given function is continuous and differentiable at the indicated values of…

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: (a)limx→-3-h(x) =4(b)limx→-3+h(x)=4(c)limx→-3 h(x) =4(d)h(-3) = DNE(e)limx→0-…

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the…

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Q: Find what is missing with complete solution

A: We know that ∫dx=x+c1. So,                 4∫dx=4x+4c1Let C=4c1.⇒4∫dx=4x+C

Q: Calculate -2 + lỉ. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a - b -

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Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

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Q: Evaluate the line integral (2 - u) dz + (3 + æ) dy] where C is the parabolic arc = a² from (0, 0) to…

A: We have to evaluate the line integral.

Q: Find the gradient of the function at the given point. w = x tan(y + z), (20, 8, -4) Vw(20, 8, -4) =

A: The expression for the gradient vector is:…

Q: 3. -1 1 2 3 4 5 6 7 +1

A: To approximate the area under the curve graphed below from x=2 to x=5 using a Left Endpoint…

Q: 7. g(x) at x = 8 %3D 4- x

A: Note:- As you ask solution only of No. 7 so i am solving only it.

Q: Given: y = xcos (x); Find y". O y" = xsin (x) - 2 cos(x) %3D O y" = xsin (x) + 2 cos(x) O y" asin…

A: Formula:ddx(uv)=u dvdx+v dudxy = x cos(x)y' =x [-sin(x)] + cos(x)[1]y'= cos(x) - x…