3. Determine whether each of the following series is convergent or divergent using the appropriate test for convergence/divergence. (a) n +1 n2 +1 (b) (c)

Q: Use an appropriate test to determine if the series ) 2n converges or diverges. n+ en

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Q: Given

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Q: 4. Ir log a 1, log, 81=b and log, 4 2 then find the value of log ().

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Q: 10. x= cos't; y sin't

A: To find the second derivative.

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Q: 2. An object is dropped from a stationary balloon at 500m. (a--9.8m/s²)( a. Express the object's hei...

A: This is a problem related to newton's law of motion. By using general formula of motion's we will ca...

Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

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Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

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Q: 6. Use the Method of Substitution to find the indefinite integrals: et*dt b) /; 9 xp=

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Q: Maximizing Profits The weekly demand for DVDS manufactured by a certain media corporation is given b...

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Q: ch of the following integrals is equal to the integral / f(3x-5) dx? ) dr? 7/3 ) dz

A: Please refer to the image below

Q: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

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Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line     ...

Q: 2. A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amoun...

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Q: d?y (2) dx2 2dy + 4y = 0 No boundary conditions

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Q: Find the diameter of the circle 4x? + 4y? + 24y – 4x – 35 = 0. A. 6V3 B. 6V7 C. 3/6 D. 37 E. None of...

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Q: 10* -dx may be written as AlnlsecR* tanB*+ C, where A, B, and C are constants not equal to zero. Eva...

A: Solution:

Q: 1-cos 3t 1. Evaluate lim by constructing table of values. 3t t -1 -0.5 -0.01 -0.001 f(t) 1 0.5 0.01 ...

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Q: 1. List the first five terms of the sequence (-1)"-1n An n! + 3 n > 1.

A: We have to find first 5 term of Given sequence.

Q: 17. A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 9...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft3. If the...

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Q: The expression below is an evaluation of which integral? * 6x + 3 ln|æ – 2| – 18 ln|æ + 4| +c 2x2 – ...

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Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: The number of solutions to cos 0 = – c, with 0 < c < 1 and O 2 Infinitely many

A: This question can be solved graphically.

Q: cos2x – sin2x cos2x For +C: What is F(x)? dx= 3 cosx - sinx

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Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use Opti...

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Q: Use the Integral Test to determine if the series 1 Σ (n +2)°/¾ n=1 converges or diverges.

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Q: 2sim x-1 -y = COST+2

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Q: 7. g(t) = tỉ %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 2. A rocket is launched in the air. Its height, in meters above sea level, as a function of time, in...

A: Given that a rocket is launched in the air. Its height , in meters above sea level as a function of ...

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Q: cos2x- sin2x cos2x For dr=-F(x)+C What is F(x)? COSX sinx 1. (sinx COSX O (cscx x – secx) ³ CSC) cos...

A: We have to find F(x) by indefinite integral

Q: In (r? – 3) + e?-² at the 1. Find an equation of the tangent line to the graph of y = point (2, 1).

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Q: Given cost and price​ (demand) functions C(q)=120q+44,200 and p(q)=−1.9q+880​, what is the marginal ...

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Q: Find r²e* dx.

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 713 f(2) dz 7/3 f(2) dz -2...

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Q: (2- secx) secx sec(3A – x) eIn (xle) What should be the value of A for to be integrable using the fo...

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Q: Exercise 1 Determine the relative extrema of f. (b) f(x, y) = 4xy² – 2r*y – x -

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Q: Show that the equation x – 18x + c = 0 has at most one root in the interval [-2, 2].

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Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* | + C. Where A, B, and C a...

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Q: 1. Given: y = 2x - Find: a.) dy/dx b.) y"

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Q: dx Vx

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Q: Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=15q+500​, find the quantity that maximizes ...

A: This question can be solved using the concept of maxima and minima.

Q: 9 y= Arctan( 1-2x

A: Use simple differentiation twice to get the answer.

Q: +oo 2" Use an appropriate test to determine if the series converges or diverges. n+en n=1

A: We will use Ratio Test for the given series.

Q: Peter likes to drink coffee once its temperature reaches 60 degrees Celsius and will not burn him. I...

A:   note : i can ans 1st and 2nd part and remaining part not related to this question so pls reroute i...