: / ain(tun3x)dx cos²3x tan( tan3x) dx Evaluate: A -in|sec(tan3x)| + c 3 B 3 -In|cos( tan3x)|+C O In/cos(tan3x)| +C O In sec(tan3x)|+ c E None

Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion formu...

A: The function given is  y=3x2-32

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

A:

Q: tan –15t sech Evaluate: 1+2512

A:

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 20x + 0.5x - 0.002x...

A:

Q: 4. Suppose that f(4)= 2, g(4)=5, f'(4)=6, and g'(4)=-3. Find derivative h'(4) in (a) - (d). (a) h(x)...

A:

Q: S- 5e2*dx 9e 4x - 6e2+1

A:

Q: Sv 8x – 16 dx=2 x- 2dx A True B False

A: Show that,∫8x-163dx=2∫x-23dxAnswer:-4LHS=∫8x-163dxLet 8x-16=udifferentiate8dx=duTherefore LHS=∫u38du...

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: 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: S (sin(Inx?)) 3 -dx? Which of the following is equivalent to the integrand of

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Q: Find y" by implicit differentiation. %3D cos(y) + sin(x) = 1 %3D

A:

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: find u and du. show

A:

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

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Q: 3. y'-5y = x*e* - xe* – xe³x

A:

Q: A function F (x) is called an antiderivative of a function f (x), if A F(x) =f (x) BF(x)=f (x) OF(x)...

A: Application of derivative and integration

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

A:

Q: Find the coordinates of the point/s on the curve y = 2x? which are closest to the point (9,0).

A: We have to find the closet point to the point    (9, 0) 

Q: Find all values of e for which sin [e=0] . What pattern do you observe in the values for 0 ? Graph t...

A: the given equation       sin θ=0 on the interval -2π, 2π

Q: (cose+ tane) de / (sece + tan@sec2e) de cos e COS True (B) False

A: We have to find out

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

A:

Q: x2-x+1 -dx Evaluate: A 2,2-2,2-2,24C

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Q: patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 7​% of the dru...

A: Given query is to find the rate of change after 6 hours.

Q: The value of C in the equation: ~-= - 500(1+1) -2 , when V=700 and t=0 is dt (А) 250 в) 300 c) 200 D...

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

A: We will find the solution. 

Q: The antiderivative of Cos(3x) jis

A:

Q: tan -15t sech le tan –15t Evaluate: 1+25t2

A: We have to find the definite integral

Q: sin³ydy 1+ cosy A 1+ cosy В 1- cosy siny D sin³y E) None

A:

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: Find the limit by rewriting the fraction first. x-y+3Vx - 3Vy Vx - Vy lim (х,у)—(0,0) x#y

A:

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

A:

Q: 3 Evaluate f(x) =x°+6x, (fof)(3) = ? O 91,395 O 2025 O 45

A: We have to find out the function value

Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D...

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute : cos(4x+3)=td(cos(4x+3))=-4sin(4x+3)dx=dtdx=-...

Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢ /2(x?+e...

A:

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: – 3 If (x) dx: +C, then f (x) =- x4 A) True B) False

A: I have stated the used formula in the solution

Q: A quadratic function f is given. f(x) = 1 - 10x - xr? (a) Express fin standard form. f(x) = (b) Sket...

A: The given function f(x)=1-10x-x2

Q: Question 11 dx 4+e A 4+e- B) 4e+1 E None Question 12 sin'ydy 1+ cosy A 1+cosy B 1- cosy siny sin'y

A: NOTE:- AS POSTED MULTIPLE QUESTION, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER BARTLEBY GUI...

Q: Given Cost and Revenue functions C(q)=q3−8q2+56q+5000 and R(q)=−3q2+2400q​, what is the marginal pro...

A: To find out the marginal profit at a production level of 50 items.

Q: 2 4-x2 x2 +4 1 2x

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Q: x²-x+1 -dx. Evaluate:

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Q: In the integral, Jcos²tsin2tat , the correct u using general power formula is; sin't sint None of th...

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Q: Given the differential equation y" + 5y' + 6y = 7 sin(3x) + 10 x ex Find the Differential Operator f...

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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 manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measure...

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Q: -ln (-u) +C If u<0, then A True B) False

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Q: 3x3 -5хе^ + 2хcos(x) Evaluate:

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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: Given cost and price​ (demand) functions C(q)=110q+44,400 and p(q)=−2q+870​, what is the marginal co...

A: we have given the cost function C(q) =110q+44,400