Find the equation of the tangent f (x) = 4x – 8a at a = 16.

Q: The Cunve boelow is colled a serpentine. Fnd n eauotion of the toragnt line to tho cuve ot the pant ...

A:

Q: tan - 15i sech(ekan-151) dt Evaluate: T+2512 A 2 tan ,tan -15t +C 5 B -tan -le tun -Ist 5 -151 +C C)...

A: Integration

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: 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: Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy x+4y +4y ...

A: The given function,x2+4y2+4y=49; dxdt=2 when x=7 and y=-1

Q: The antiderivative of Cos(3x)

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Q: du - = In ( – u) +C If u<0, then u A True B False Question 2 8x – 16dx=2 x– 2 dx A True B) False

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Q: J esc2tdt = In|csc2t – cot21| + C A) True B) False

A: Explained below 

Q: 1 2х

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Q: Name: Find the Dxy by implicit differentiation of the following 2.) x³ +y3=8XY

A:

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

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Q: -1< x< 2 3 Consider the function f(x) = x = 2 4- x 2 < x< 3 |1 x2 3 (a) Sketch f(x). (b) Discuss the...

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Q: Suppose a certain drug is administered to a patient, with the percent of 6t . Use t +1 concentration...

A: Topic:- application of derivatives

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

A: To simplify the integral.

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: Improper Integrals w/ Partial fractions, Integration by parts and u - su L y e-3y dy Зу 11.

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: A. Fill in the tables and guess the value of the limit. 1. lim f(x), where f(x) = х3 — 1 x2 -1 %3D f...

A: Given that        f(x) = (x3 - 1)/(x2 - 1)  Here we have to find            limx--&gt;1 f(x) .

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

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Q: cost and price​ (demand) functions C(q)=100q+44,500 and p(q)=−1.9q+880​, what is the marginal revenu...

A: We will find the marginal revenue. 

Q: dx 5+ x2

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

Q: dx (use 2 decimal places, no space) 5+x Let x = 2.74, and y = 3.75. Determine the value of C when yo...

A: topic - indefinite integral

Q: If two functions F & G are both antiderivatives of the function f, the F (x) =G (x). (A) True (B) Fa...

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Q: 2x2 + 2x+1 dx. x+1 Evaluate: e

A: Please see the answer below.

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...

A:

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

A: Integration

Q: Evaluate: | (secx – tanx) ²dx

A: Follow the procedure given below. 

Q: E. DIFFERENTIATION Obtain the derivative of the following functions: y = Vx² (2x – a²)

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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: Find the vertex of the parabola by applying the vertex formula h(a) = 6a?+ 16 O (1/12, 385/24) (0, -...

A: First I have written the formula of vertex of a parabola and then by using the formula find the requ...

Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question on...

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

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Q: 3 + 2xCoS (x) Aト 3x-5xe^

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

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Q: dw 4 Which of the following characterizes the differential equation +v= 0? A 2nd order, 4th degree O...

A:

Q: csc2tdt=In|csc2t – cot21|+C A) True B False

A:

Q: 2 4– x2

A: topic - indefinite integral

Q: Ni dr A +1 B 2 C) D E) None

A:

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

A:

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

Q: x4メ U 5 + x² 2.

A: Let's find. 

Q: -x+1 dx Evaluate: A в 2 +-x 2 2 2,/½.2,½+22+c D 3 E) none of the given choices

A: Solution: ∫x2-x+1xdx

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

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Q: The antiderivative of Cos(3x)

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Q: Evaluate: x + sinx dxp.

A: Here we have to evaluate I=∫x+sinxxdx

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 20x + 0.5x2 - 0.002...

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Q: Vx+4 -3 3. Evaluatelim Show your complete solution. x-5 x-5 x-1 4. Evaluatelim Show your complete so...

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Q: A graphing calculator is recommended. x² - 1 Let f(x) = x2 + 1 (a) Find f'(x) and f"(x). f'(x) = f"(...

A: Here, the given function is: f(x)=x2-1x2+1

Q: find u and du. show

A: