2 cosx+3 cosx=2, 0Sx<27

Q: etermine whether the series E converges or diverges. If it converges, find its sum. m= 2 elect the…

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

Q: x² – 2x – 1 dx I ( – 1)²(x² + 1)

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Q: C Fnd the firet order parho derivohve of 4.5 f(x,4,2)= e* +y2 1.

A: We have to find the partial derivatives.   According to our guidelines we can solve only one…

Q: Find all the second order partial derivatives of the given function. -y? f(x,y) = xye O A. 2f = 2xye…

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Q: In cos x (1) lim x→0 tan x2

A: Let's find.

Q: Jse any method to determine if the series converges or diverges. Give reasons or your answer. 9n 2…

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Q: a) Use the Second Derivative Test to find the local extreme values of the function f(x)=(x^3+27)^4.

A: We have to use the Second Derivative Test to find the local extreme values of the function.

Q: 2x y= Arccos(e)

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Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

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Q: The radius of convergence of the power series representation of 9x f(x)= 10x+7 10 is R= Select one:…

A: Given

Q: 72 a, =6, a,. 1+an

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Q: 1. Evaluate the following integrals. | (csc 0)(1 + sin² 0 + sin 0 cot? 0) de а.

A: Given ∫(cscθ)(1+sin2θ+sinθcot2θ) dθTo evaluate the integral:

Q: Find the area of the triangle having vertices at (−2,3,1),(1,2,3) and (3,−1,2)

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Q: 5) Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0.…

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Q: ladder away

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Q: 3. Evaluate: lim x-0 (sinx

A: According to Bartleby guidelines we are supposed to do only one question. If you want more to be…

Q: 00 5 converges or diverges. If it converges, find its sum. 3m Determine whether the series > m= 2…

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Q: dx Vx4 – 2x² + 1 3,

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Q: Next ques Use the Integral Test to determine if the series shown below converges or diverges. Be…

A: Here, the given series is: ∑k=5∞9kln2k

Q: 1. S7e*dx = 7et 2. S(5e* 6*)dx 3. § 3(5*)dx:

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Q: dx J Tx2 – 25

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Q: Plot the point that has the given polar coordinates.  2,  3π 4

A: We have to show the given point on the graph.

Q: Jk, when = & Case y: 2 Sing

A: Solution 1:

Q: The solution set of non-negativity constraints is located at Y-axis Quadrant II 3- QuadrantI X-axis…

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Q: Question 9 Let y = tan e find the differential dy of the function. O dy = e (r – 1) sec e- da O dy =…

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Q: 5. w = x tan-y - 2=

A: Given: w=xtan-1y-2xyz

Q: Consider the differential equation r'y" +3ry'-3y 2a - 3r. of variation of parameters to solve the…

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Q: For the function f(x)= x3 + ax2 + 2a2x + a, there exists a point of inflection at x = 2. Determine…

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Q: sin x ferentiate y = (x² + 1)°

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Q: 2. If the acceleration function of a certain particle is given by a(t) = sech () tanh () – ei, find…

A: Given Data: a(t)=secht2tanht2-et2 Solution: Let v(t) be the velocity. We know that, dv(t)dt=at…

Q: 6 I invest a sum of money at a nominal rate of 6% per year. Find the effective yearly interest rate…

A: Given query is to find effective interest rate.

Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: Determine the angle between OR = (1,-2,3) and OT = (5,-3,2) %3D

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Q: (80") (7")(9") + 1* n=1 IM:

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Q: Which of the following is the particular solution of a nonhomogeneous differential equation…

A: Here, given that: yc=c1x2+c2x3⇒y1=x2, y2=x3 And, u1=2x-3x2, u2=2x+3

Q: 6. (D2 – 6D + 8)y = e2x + sinx %3D

A: The given differential equation is: D2-6D+8y=e2x+sinx   So, the auxiliary equation is: m2-6m+8=0

Q: explain

A: We will check whether fundamental theorem of calculus applies.

Q: 12 dx Jx3 – 3x2

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Q: 1-y Q2: Evaluate fo y²(x² + y²)dx dy -1

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Q: Use the substitution u = 6x? + 1 to convert the integral fo xeoz+1 dx to an integral of the form L…

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Q: Integrate f(x.y,z) = x+ Vỹ - z° over the path from (0,0,0) to (1,1,1) given by C,: r(t) = t i+t°j, 0…

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Q: 3. Consider the vector field F(x, y) = (2xy, r² – sin y). Evaluate %3D F. ds C where C is the curve…

A: We have to Evaluate given term.

Q: Consider the lines x = -1+ 2s х — 5 l1 : 3 - 2 and l2 : y = s 4 -2 z = 5+ s а. Find the coordinates…

A: The three parts of the problem are solved in the next three steps.

Q: Find the solution set of the following linear system. Identify inconsistent systems and dependent…

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Q: Question 4 Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

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Q: V9 – x² .2 .2

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Q: lim (In x)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. Find the inverse of the matrix 6 12 3 3 A. 10 10 C. 30 30 3. 10 7. 3. 30 10 30 152/5 D.…

A: Solution is done in step 2

Q: Fill in the blanks: Answer only no need explanation. 1. The derivative of a constant ______ 2. The…

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