Use the definition of the derivative (long method/ increment method) to find the derivative of the following functions. ENTIA Q (t) = t+2 1 f (x) = x+ - EDIFICA PIEN

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

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Q: Which of the following differential equations can be solved by separation of variables A ´sin 2y dx ...

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

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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: 2w²+9w+ 1 - w+4 dw is the same as

A: Here's the solution, please have a look at it: Answer: option c  Approach:

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

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Q: Evaluate: Sv*+sin/x dx. A x+2cos/x+ C 2x+ cosx B + C 2

A: We have to solve the integral

Q: cos0 + tan@ ) đo | (secô + tandsec²0)d0 cos²0 со A) True B False

A: On solving this integration we will get

Q: Reading E Report 9Anime E Sample O A Short xX * 8.2 个 A webassign.net/web/Student/Assignment-Respons...

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

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Q: If Mesin(2x) dx= eSin(2x) + C_then the M is equal to Blank 1 (use small letter, no spa

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Q: dx 4+e¬*

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

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: I. Evaluate the integral of xy dx from x 0 to x 6 using the parametric equation x = 6 cos 0 and y 2 ...

A: Now we have to find the value of integral: ∫06 xy dx

Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d (15 sin (x...

A: Explained below 

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: Given Cost and Revenue functions C(q)=q3−10q2+57q+5000 and R(q)=−3q2+2400q​, what is the marginal co...

A: We have to find marginal cost at a production level of 40 items

Q: Question 19 Evaluate: / (secx - tanx)-dx A none of the given choic B 2secx - 2tanx -x+C © 2secx - 2t...

A: Given: ∫secx-tanx2dx  

Q: The DE for the family of circles of radius 9 is: A [1+ (y')²]³+81=0 B ® [1+(y")*]³–81=o [1+(y')²]³– ...

A: The general equation of the circle with center (h,k) and radius r is             ( x - h )2 + ( y - ...

Q: dx In then the integrand is the same as 4e +1 4+e A) True B) False

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

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Q: Which of the following integration expression can be transformed into integral of power Ju"du), (Cho...

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

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Q: cose Evaluate the integral: de. V4- sin?e (A) None of the given choices -sn(글sne)+c B (ane) e -1 sin...

A: The solution is given in the next step.

Q: (cos) + tan ) d0 (sec® + tan@sec²0) do cos?0 A True B) False

A: Topic = Integration TRUE

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: 2x²+ 2x+1 x+1 Evaluate: e dx. 1 + C X +1 A) x² + x +1 x+1 n|x+ 1| + C B - + In|x+ 1| + C D x2 + In|x...

A: The given integral is; eln[(2x^2+2x+1)/(x+1)].

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

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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: Find an equation of the tangent line to the graph of the given function at the specified point. x2 -...

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Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

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Q: cosh In(x) y%3= VII. xp: If u is a function of x then what is u? u-f(x) A.In(x) du is equal to? A.2x...

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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: Differentiate. y = eP(p + pVp) y' =

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Q: cose Evaluate the integral: de. 4- sin?e -sn (ane) c B None of the given choices © shi (sn)+c e c si...

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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: Find the exact value of the expression. cot

A: Cot(x)= Cos(x)/Sin(x)

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: Which of the following is equivalent to the integrand of - (sin(inx7))² dx? (A None of the given cho...

A: Find the integrand of ∫sinlnx72xdx  

Q: xdx 5+ x

A: We will solve the integration. 

Q: " , [sin(Inx?)]²dx Which of the following is equivalent to sin(Inx 14) dx sin2( Inx 14) dx B © [sin°...

A: The given integral,       ∫sinlnx72dxx

Q: sin 2y dx - 3x--cos 2y dy = 0 by separation of variables. Solve the differential equation A xe - 3 c...

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Q: Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that...

A: This is a limit, continuity and differentiability problem

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

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Q: '8х — 16dx 3D2 :- 2 dx

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

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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: 2w2+9w+1 -dw is the same as w +4 5 dw w+4 A 2w +1+ 2w – 1- 3 dw B w+4 2w +1– 3 dw w+4 67 dw w+4 (D) ...

A: We have to choose the correct answer from the given options according to the given information

Q: 2 4– x2

A: topic - indefinite integral