Find for the following function. dx 4 sin x y = 9 -8 sin x dy dx II

Q: Which of the following integrals will yield an inverse trigonometric function? e2x dx 4+e2x wdw (B 2...

A: Let I=∫19-16x2dxI=∫11-16x29dxI=∫112-43x2dxWe know tha ∫1a2-x2dx=sin-1xa+CThereoreI=sin-143x1+CI=sin-...

Q: Mesin(2x) dx = esint2M + C then the M is equal to Blank 1 If Blank 1 Add your answer

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Q: Evaluate:  square root of x + sin square root x over square root of x dx

A: We are aske dto evalute the integral.

Q: dx 5+ x2

A:   For knowledge purpose we will derive the general formula for such type of integration.

Q: Question 17 х dx. (use 2 decimal places, no space) 5+x Let * = 2.74, and y = 3.75. Determine the val...

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Q: Construct a difference table to predict the next term of the sequence. −1, 3, 21, 58, 119, 209, 333...

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Q: sin- In?| 4+ tan-!cos- dx 1+ cos2- 4+ tan-cos- 2sin- In2 4+ tan-'cos- dx 2 2 A 1+ cos 4+ tan-'cos- х...

A:

Q: [sin(Inx?) ]²dx Which of the following is equivalent to :? sin(Inx14) dx A sin2( Inx 14) dx ® / B si...

A: ∫sinlnx7 2dxx

Q: Determine whether each of the following functions is (a) continuos (b) differentiable. Show complete...

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Q: A. FUNCT 1. Solve for the Range and Domain of the given function: g(t) = v4 – 7t %3D

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Q: x+2 f(x) = +x-12 ... UA. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Us...

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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: (x+2)2 dx (x+2)3 +C (A + 2x+4 In x +C +4x +4 In x + C (x+2)3 D -In x +C 3. B.

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Q: 1. y' = e-" (2x – 4) y(5) = 0 2. dy = by°r y (1) = dz 1 25

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Q: What is the relative minimum value of the the function f(x, y) = e+v ? Note: If the answer is a nega...

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Q: Solve the differential equatons (9xy-2y2) dx - ( 6x²_xy) dy =0 4.

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Q: |(3x + 1)2dx = Blank 1 (use small letter, no space) Evaluate: Blank 1 Add your answer

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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: 2 x+1 -dx . Evaluate:

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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: メナー Aト 2.

A: Let's find. 

Q: Find the volume of the solid generated by revolving about x=0 the region bounded by the given lines ...

A: Using application of integration

Q: Express the following sum in closed form. 6 +4. n k=1 k Hint: Start by multiplying out 6+4. n Note: ...

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Q: : / ain(tun3x)dx cos²3x tan( tan3x) dx Evaluate: A -in|sec(tan3x)| + c 3 B 3 -In|cos( tan3x)|+C O In...

A: On solving this we will get

Q: The function f(x) = 5x + 2 is one-to-one. %3D Find an equation for f '(x), the inverse function. ......

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Q: Find the particular solution to the differential equation y' = (6xy)2 that passes through 1, − 1 ...

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

A: Topic = Integration Correct option  = B ,D

Q: dy Find for the following function. dx y = 5 sin x+2 cos x dy dx II

A: Given that          y = 5 sinx + 2 cosx  Here we have to find dy/dx .

Q: 3 [f(x)dx=+C, then f (x) : A True (B) False

A:

Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let lnx=t1xdx=dt∫t6-3t4dta+b4=a4+4a3b+6a2b2+4ab3+b4∫t64+4t63-3t+6...

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| ...

A:

Q: 20. Let h be the function defined by h(x) : L, sin²t dt. Which of the following is an equation for t...

A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

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

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Q: 4. I'e dz 5.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

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: In order to evaluate the integral expression sin using simple substitution, dv =f (x)dx_ Determine t...

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Q: equaton of a line contain iwig the poent (1,7, -3) and parallel to the yz-plar 2 Find an

A: We will find the equation of line. 

Q: What is the degree of the differential equation? d?y 2 %3D + dx dx?

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

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Q: 4. (D² +D-1)² y =0 ,when x= y = 0, y' = y" =1, y" = -1

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Q: xdv S- le2cos(sin-w)

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

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Q: Vil 12 sin (x) cos' (x)dx by using walli's formula. 27. a is equal to? A.1 B.O C.1/10 D.pi/2 The def...

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Q: Secoslsin-ta)av

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Q: X-e -dx x2+e-2r 2 (x-e-2") -dx A x2+e-2r - 2(x-e-2*) В x2+e-2r -2x e -2x x2+e dx te-2r x2+e E None

A:

Q: Question 21 Evaluate: J(3x + 1) d. S(3x+1)°d_

A: ∫3x+12dx

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: How many tangent lines to the curve y = pass through the point (1, 2)? x + 6 At which exact points d...

A: Using y-y1 =m(x-x1 )  where m is the slope of given equation.  Therefore there are two tangent lines...

Q: (sin(Inx?))³ -dx? Which of the following is equivalent to the integrand of amcu. cos (In(x?)) – 3cos...

A: Given: I=∫sinlnx73xdx  ....(1)   We know that the trigonometric identity: sin2(x)+cos2(x)=1