y = 5t2 - 2t + 4 -'(t) =

Q: x2-V+1 When you evaluate dx. The sum of the coefficient of X" for any constantn>0 is Blank 1 (use nu...

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Q: tan( tan3x)dx Evaluate: cos²3x A 3 -In sec(tan3x)| + C B -n|cos( tan3x)| + C In|cos (tan3x)| +C (D D...

A: the given integral,      ∫tan(tan 3x)dxcos23x

Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilater...

A: It is given that, the length of the wire = 36 in. It is cut into two pieces. Let the length of the o...

Q: 3lnx – 3lny The function f (x,y): x-y Nonhomogeneous Homogeneous of degree 2 c) Homogeneous of degre...

A: The given function is: f(x,y)=3ln x-3ln yx-y          =3(ln x-ln y)x-y          =3 lnxyx-y

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Q: dy x + ( 1+x)y = e -x sin2x dx

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Q: In2| 4+ tan-'cos- dx 2 sin ( 1+cos | 4+ tan-'cos- 2sin- · In²| 4+ tan-'cos- dx 2 (A 1+cos- 4+ tan-'c...

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Q: evF dr S. A) 2 +1 В 2 +1 (D

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Q: Question 11 dx 4+e (A) 4+e* (B) e ot D 4e*+1 E) None

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Q: el+y dA ‚Where D= {(x, y) ||a| + \y| 0, x2 + y? < 1.

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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: Evaluate the following limits: x2 + 4x – 12 lim x2 – 2x

A: SOLUTION-

Q: secytany In dy, the integrand is 4secy +9 4.secy + 9 A True B) False

A: Integration

Q: cose Evaluate the integral: - de. 4- sin?e -ain (an)•c (sin (A) B None of the given choices © Sin-(글...

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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: Given Cost and Revenue functions C(q)=q3−10q2+54q+5000 and R(q)=−3q2+2500q​, what is the marginal re...

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Q: Match the integral expression on the left with appropriate dv so that the antiderivative will exist....

A: As per bartleby guidelines we only give first question answers. 

Q: cosh (x) dx sinh (x)dx cosh (x) - sinh (x) is equal to ? B.I A.0 The definite integral of that funct...

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Q: メナー Aト 2.

A: Let's find. 

Q: a'+ Vt 8. f(t)= За + 5

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Q: / tan( 4x + 3) dx Evaluate: (A) –In |cos (4x+ 3)|+C 4 B 4 ® -im [sin(4r + 3)| +C В –In |csc (4x+3)|+...

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Q: Question 13 The integral csc(0.5) dx is equal to A None of the given choices B2ln|csc(0.5x) + cot(0....

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Q: What is the value of (3+2i)³ + (3- 2i)6

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Q: du = In (– u) + C If u<0, then u (A) True В False

A: The statement is  If u &lt; 0 then ∫duu=ln(-u)+C

Q: X x²dx 5+ x2

A: Find the integral

Q: Question 4 cose Evaluate the integral: de. V4- sin?e @ sn (ana) -c © -sn* (sin) + c -an (ane) • c No...

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Q: r nosへSう'" ( メンン 2 COS(SIn (x))

A: Let, cos(sin-1x)=t⇒sin(sin-1x) 11-x2dx = dt⇒x11-x2dx = dt...(1)

Q: x4メ U 5 + x² 2.

A: Let's find. 

Q: Question 16 Evaluate: [Vx + sin/ dx. A None of the given choices 2x+ cos/x B + C 2 © x+2cosx + C D x...

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx, where a is the constant.   ...

Q: / In(sin(x))dv In order to evaluate the integral expression using simple substitution, dv =f (x)dx D...

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Q: 5e2*dx V9e4* – 6e2* + 1 (A 3e2 (B 3e2x – 2 3e 2x – 1 9e* – 6 + 1 e 2x _ E) None

A: Solved below

Q: Which of the following is equivalent to the integrand of ((sin(Inx7))? Which of the following is equ...

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Q: 2-x+1 -dx .

A: Please refer attached file for solution below

Q: tan –15t sech Evaluate: 1+2512

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Q: dV - 500(1+1)-2, when V=700 and t=0 is dt The value of C in the equation:

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Q: Evaluate: (3x + 1)*dx = Blank 1 (use small letter, no space) S(3x+1°dx,

A: Given  ∫(3x+1)2dx Formula: ∫(ax+b)ndx = n(ax+b)n-1.(a)

Q: The antiderivative of Cos(3x)

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Q: A body moves on a coordinate line such that it has a position s= f(t) = ? - 7t + 6 on the interval 0...

A: Given , S =f(t)=t2-7t+6 and interval 0≤t≤6 Formula: Average velocity =[ f(b)-f(a)]/(b-a)

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

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Q: Consider the following function. f(x) = 2x2 – 6x Find the limit. f (x + Ax) – f (x) lim Ar+0 Ar

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Q: Evaluate: | (secx – tanx) ²dx

A: Follow the procedure given below. 

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

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Q: Secoslsin-ta)av

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Q: - [Mesin(2x) dx = esin(2x) + C_then the Mis equal to +C,t

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Q: Let * = 2.06, and y = 1.32. Determine the value of when you evaluate .(use 2 decimal places, no 5+x ...

A: We have given  y=∫x5+xdx Put 5+x=t dx=dt x=t-5 y=∫t-5tdt y=∫1dt-∫5tdt y=t-5lnt+C Putting value of t ...

Q: sin In 4+tan cos-dx 4+tan-Icos- 2 1+ cos 2sin In4 4+ tan cos- dx A 1+cos 4+ tan-cos- 2sin-In 4+ tan-...

A: To rewrite the given integral so that the integral can be evaluated easily. ∫sin x2ln24+tan-1cosx2dx...

Q: company produces computers. The demand equation for this computer is given by p(q)=−5q+6500. If the ...

A: Given query is to find the number of computer for which marginal revenue is zero.

Q: Question 2 The coefficient of Sec(x) when J (tan(x) – sec(x))-dx was evaluated is Blank 1 (use numbe...

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Q: dx 10. x+xVx

A: Follow the procedure given below.

Q: Obtain a differential equation by eliminating the arbitrary constant m of: y=m A (V)² + xy' +y = 0 B...

A: