I Eliminate the arbitrary constants y = C,e -2x COs 2x + ce <-2% SIn 3X

Q: sin 2 rsin2tdt A sint B sin 21 cost D sin2t E None

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Q: - (sin(Inx?))² Which of the following is equivalent to the integrand of | dx? A None of the given ch...

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Q: ate the Power Reducing Identities for sine, cosine, and tangent: s²(N) an²(N)

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Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coeffi...

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Q: Find the Maclaurin Series of tan-(x2) at x = 0.25

A: First we find Maclaurin series of taninverse x then replace x by x2 

Q: x2- Vx +1 When you evaluate dx. The sum of the coefficient of X" for any constant n> 0 is o (use num...

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Q: sinx cos x-1 Use the trigonometric limits lim 1 and/or lim = 0 to evaluate the following limit. x-0 ...

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

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Q: SVx+sin/x Evaluate: dx.

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Q: Let {an} be a sequence of non-negative numbers. Suppose that the sequence {a,} converges to 0. Show ...

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Q: population doubles in size every 29 years assuming exponential growth, find the a. annual growth rat...

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Q: Use the definition of the derivative (long method/ increment method) to find the derivative of the f...

A: We will find the derivatives. 

Q: b) Find the solutions qf th equation 4.1.2 D Ø(D) 1. (D3 – 6D2 + 5D): 2. (4D2 - 3D- 10):

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Q: Evaluate: tan( 4x- -In |cos (4x + 3)|+C B -In |sin(4x + 3)|+C -In |cse (4x + 3)|+C -In \sec (4x + 3)...

A: the given integral,        ∫tan(4x+3) dx

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A: 1) I=∫14-x2dx Let, u=x2, Then, x=2u  and   dx=2du now, the intergal becomes: I=∫14-(2u)22du I=2∫14-4...

Q: To evaluate the integral expression / sin-(Vx)dv, using simple substitution dv =f (x) dx_ Determine ...

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Q: メT 2. 5+x of

A: The given integral is; 1/(5+x2).

Q: Solve the following (i) |10 - 3x |  ≤ 17  (ii) x² - 6x ≥ 13

A: We have to solve the inequality

Q: Secoslsin-ta)av

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Q: Find an equation of the tangent line to the curve at the given point. (Round you y = x3 - 3x, (2, -1...

A: Given query is to find the equation of the tangent line t (2,-1).

Q: Given cost and price​ (demand) functions C(q)=120q+44,900 and p(q)=−2.1q+850​, what profit can the c...

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Q: d 10(X (x) + tan (x*)) = dx

A: Solution:

Q: A solution of a differential equation which cannot be generated by specializing the parameters (arbi...

A: To find out the correct option. 

Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

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Q: Question 11 ean -15t sech(en-15) t Evaluate: 1+25/2 A -tan-le tan -ISt + C B tan-le tan-15t --tan -l...

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Q: 1. dar (12 + 5)? 2. COS r dz 3. sin 3r cos 5x de

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Q: Question 11 To evaluate the integral expression J sin-1(Vx)dv,using simple substitution dv =f (x)dx,...

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Q: Which of the following indefinite integrals willresult to logarithmic expre. • Inx. A Ssec-(3x) dx 2...

A: We will find the solution. 

Q: sin- In2| 4+ tan¬'cos- dx 2 2 1+ cos- |4+ tan-'cos= 2 2sin- In2| 4+ tan-'cos- |dx 2 2 A 1+ cos2 |4+t...

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Q: c) Solve the following differential equations using the "exponential shift" defined by equation 4.1....

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Q: dx 8) x*Vx² +1

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Q: In the integral, Jcos?tsin2tdt , the correct u using general power formula is;

A: We are asked to find the integral  

Q: dx In then the integrand is the same as 4+e¬* 4e*+1 (А) True B False

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Q: 7. x=

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Q: - ydx + (x++ xy )dy = 0

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your...

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the constan...

Q: 2. A tonk initially contains 1oO gallons of brine whose concentration is 2 lb/gal. Brine whose salt ...

A: Given

Q: The DE for the family of circles of radius 9 is: A [1+ (y')²]³+81=0 B ® [1+(y")*]³–81=o [1+(y')²]³– ...

A: The general equation of the circle with center (h,k) and radius r is             ( x - h )2 + ( y - ...

Q: tan( tan3x) dx Evaluate: cos?3x A) 3 -In|sec (tan3x)|+C -In|cos( tan3x)|+C 3 In|cos(tan3x)|+C In|sec...

A: Just I have make the substitution and solved the given integral.

Q: A solution of a DE identical to zero, that is, f (x) =0 for all real x in a given interval is called...

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Q: The graph of a function f is shown. Does f satisfy the hypotheses of the Mean Value Theorem on the i...

A: topic - mean value theorem

Q: Let f (x) = V. Find the smallest number 6 such that if |a- 8| <8 then |f(x) - 2| < 0.1. Round answer...

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Q: (3x3 - 5xex + 2xcos(x) te:

A: Given query is to find the value of the integral.

Q: curves

A: Please refer to the image below

Q: 5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.

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Q: Which of the following is equivalent to / Isin(Inx?)]²dx , sin(Inx 14) dx A sin2(Inx 14) dx O (sin (...

A: Given that, The given integration is following, I=∫[sin(lnx7)]2dxx We have to find the equivalent of...

Q: /(In°x– 3lnx)*dx A Inx B Inºx C) © Intx D Inx – 3lnx E) Inx- 3 F) None

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Q: 2x + 2 x +1 in of Xト! ナイ

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Q: 2x2+ 2x+1 x+1 Evaluate: Je dx. A x2 + In|x+1| + C 1 + C x+1 C None of the given choices * + In|x+1| ...

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Q: I Solve the differential equations [ 2(x+y)- xy]dy = (x+xy²- 2y +3)dx when x=1, y=1 3.

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