Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B 25+ w2 dx 9- 16x2 ydy S- 25+y2

Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: '+ 1 dx 2x e (А A -e-2*) + C B +x +C 4 2 5x +x +C e3 (D) 3 +C e*

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Q: Identify the location and value of any relative maxima or minima of the function. 7) V 2

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Q: xdx Evaluate: 5+x2 A In(x²+5)+C x²+5 (B) In +C 2 None of the given choices D 21n(x²+5) +C E In(/x²+5...

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Q: SVx+sin/x Evaluate: dx.

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Q: Evaluate: J(3x + 1)2dx (Зх+

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Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Given that, There are two statement following, 1st : xsiny' = (x2 + 1)(y''')4 is a 4th degree ODE. 2...

Q: Find the correct u and du then find the equivalent.

A: All option given is in terms of x only but i correct for variable u and t. 

Q: e5 + - s*) dx= 5*+1 +C I + 1 5 A) True B) False

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Q: Which of the following integration expression can be transformed into integral of power (Choose 2) @...

A: To find out the integration expressions which can be transformed into the integral of power. 

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: 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: eV dr S- + 2ev +1 A -2 dr D) None B.

A: To write the equivalent integral. 

Q: A. FUNCTIONS 2 Given f(x) = 3x – 2 and g(x) =+, find each of the following: 3 (a) (f o g) (x) (b) (g...

A: If f(x) and g(x) are real valued functions then  (fog)=(fog)(x)          =f(g(x)) (gof)=(gof)(x)    ...

Q: -2x X-e -2x x+e * 2(x-e-2*) A -2x xp- x²+e¯ -2(x-e-2*) B x²+e =² -2x -2x e dx -2x x²+e-2r x²+e=2« D ...

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Q: sin³ydy 1+ cosy (A) 1+ cosy B) 1- cosy с) siny D sin3y E) None

A: To find out the correct u to evaluate the integration. 

Q: Which of the following indefinite integrals will result to logarithmic expression? A (2x+7)2 ® Stan(...

A: Topic = Integration Correct option  = B ,D

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

A:

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: A certain bacterium is known to grow according to the Malthusian model, doubling itself every 8 hour...

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Q: company's profits if marginal profit is​ $0

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Q: -2 X Given f(x,y,2) sin (z²y), show that fxyuy = fyxy %3D %3D

A: Given:- f(x, y, z) =e-2x sin(z2y)  To prove:- fxyy = fyxy

Q: sin- In2 4+ tan-'cos- dx 2 2 I+ cos2* 4+ tan-'cos- In2 4+ tan-'cos- dx 2 2sin- 2 A 1+ cos 4+ tan -'c...

A: To evaluate: ∫sin x2 ln24+tan-1cosx2dx1+cos2x24+tan-1cosx2

Q: Given Cost and Revenue functions C(q)=q3−10q2+56q+5000 and R(q)=−3q2+2400q​, what cost is incurred...

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Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: evF dr + A в 2 2 E) None

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Q: Vx + sinyx Evaluate:

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Q: Let * = 3.54, and y 3.31. Determine the value of C when you evaluate %3D 5+x xp-

A: Given ,y=∫x5+xdxSubstitute  u=5+xdifferentiatedu=dxy=∫u-5uduy=∫uu-5uduy=∫1-5uduy=∫1du-∫5uduy=u-5ln(u...

Q: sin- In?| 4+ tan-'cos- dx 2 COs- 1+ cos 4+ tan-'cos In2 4+ tan-'cos- dx 2 2sin- 2 (A) 4+ tan-'cos- 2...

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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: 2x2 + 2x+1 dx. Evaluate: e х+1 x2 (A 2 *+ In/x+1| +C B x² + In|x + 1| + C (x²+x+1 x+1 n|x+1| + C e 1...

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Q: -dx (use 2 decimal places, no space) 5+x Let x = 3.63, and y = 4.58. Determine the value of C when y...

A: we have given∫xx+5dx and also given x=3.63 at y =4.58

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

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Q: Cost C(q) = 86 + 0.13q - 0.007q2 + 0.0009q3. (a) Find C'(100). Interpret C'(100). O This is the rate...

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Q: 2w2+9w+ 1 -dw is the same as w +4 2w + 1+ dw w+4 A 3 dw w+4 В 2w – 1- © S: 2w +1– dw w+4 67 dw D 2w ...

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Q: x--x+1 Evaluate: dx A 2,½_2,½-22+c 3 B 2 2 2

A: We have to find out the solutions

Q: x + sinx dx. Evaluate: 2x- cos/x (A + C 2 2x+ cos/x B + C 2 © x-2cos/x + C x +2cosx+ C E None of the...

A: Let √x=t then solve it. 

Q: Question 14 Which of the following indefinite integrals will result to logarithmic expression? 2 A (...

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Q: Find the area enclosed by y = In(x – 12) and y = (In(x – 12))². (Use symbolic notation and fractions...

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Q: xdx Evaluate: 5+x? A 21n(x2+5) + C B In(x2+5) + C © In x²+5 +C 2 D In Vx2+5) +C E) None of the given...

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Q: Find the present value of the given future amount. Assume 360 days in a year.   ​$171,247 for 318 da...

A: Given query is to find the the present value of the future amount given.

Q: sin-- In?| 4+ tan-'cos- dx 2 1+ cos 4+ tan-'cos- In| 4+ tan-'cos- dx 2 2sin- 2 A | 4+ tan-!cos÷ 2 1+...

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Q: If (Mesin(2x) dx = eSin(2x) + C, then the M is equal to-

A: We will differentiate both sides w.r.t 'x'

Q: 5e2*dx 9ex – 6e2* + 1 (A 3e 2x B 3e2x – 2 (©) 3e2x – 1 D 9e 4* – 6e2* + 1 E None

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Q: csc2tdt In csc2t- cot2t +C A) True False

A: topic - indefinite integral

Q: Given Cost and Price​ (demand) functions C(q)=100q+40000 and p(q)=−2.2q+900​, what profit can be ear...

A: Given query is to find the profit for the price of $550.

Q: Research five'examples of the use of extreme value theorem in real life. Write your answers on a sep...

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Q: IV. sec (3x) tan(3x) 12. Value of "F(b)" D. 1 A.0 Value of "F(a)" A.0 B.-2/3 C-2/3 13. B.-2/3 C-2/3 ...

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Q: dx 4+e=* A 4+e-* В D 4e+1 E) None

A: We have to find the integral