Eliminate the arbitrary constants y = Ce-3*sin2x + Cze¬3*cos2x

Q: Classify the differential equation d y d'y + tan x %3D da3 da5

A: Follow the procedure given below.

Q: Classify the differential equation: (台)-() 3. 3. X P -2T 5. dyt O Third order, fifth degree, linear ...

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Q: 2x + 2 x +1 in of Xト! ナイ

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Q: 3x3 - 5хе\ + 2хcos(x) waluate:

A: We have to find out the integral

Q: 5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.

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Q: dx 4+e A 4+e B 4e*+1 E None Question 12 sin'ydy 1+ cosy A 1+cosy B 1- cosy siny sin3y

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

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Q: In each graph, a parent function has undergone a transformation of the form f(kx). Determine the equ...

A: We need to find the equation of transformed graph red using the graph of parent function green.

Q: Evaluate the integral: cose de. 4- sin?e ® sn- (ane) + c A sin-1 B -sin- sin- + C (c) -sin-1 sine+ C...

A:

Q: Let f (x) = V. Find the smallest number 6 such that if |a- 8| <8 then |f(x) - 2| < 0.1. Round answer...

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Q: O-26429052 2n (41) +1+(+り

A: We will use log function to evaluate the values of n.

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

A:

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: 2. Which is the interpretation of the statement lim f(x) = L ? i. For all x values close to c, but n...

A:

Q: S dx 4+e*

A: follow next step

Q: X x²dx 5+ x2

A: Find the integral

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

A:

Q: Question 8 (sin(Inx"))³ Which of the following is equivalent to the integrand of 7cos (In(x³)) + cos...

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Q: Determine the gradient of f(x, y) *sin(4y) at (x, y) = ( – 2, 3). Round to 2 decimal places. V f( – ...

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Q: (a) u'(1) = It does exist. u'(1) does not exist because f '(1) does not exist. O u'(1) does not exis...

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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: having

A: We will find the half life. 

Q: Question 15 Evaluate: J(3x +1)<dx = Blank 1 (use small letter, no space) Blank 1 Add your answer

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Q: - ydx + (x++ xy )dy = 0

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Q: The coefficient of sec(x) S(tan(x) – sec(x))²dx ; evaluated is Blank 1 (use number, no space) when w...

A: Solved below

Q: The antiderivative of Cos(3x)

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Q: Question 7 The antiderivative of COS(3X) is 1/2 (use small letter no space) Blank 1 Add your answer

A: Given : Cos(3x)We will find the integration which is antiderivative of the Cos(3x).Below find the so...

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

A: topic - functions

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

A:

Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

A: The amount of loan she took P1 =  $30,000  The current loan amount balance P2 = $56,000   Percentage...

Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coe (x...

A:

Q: rx²+x+1 -dx x-2 A -+ 3x + 7ln (x– 2) + C +x- 2ln (x- 2) +C -x- In (x-2) + C +3r -3 In (x – 2) + C

A: Let's find. 

Q: Solve the differential equation:COsx dx +[sin(x+y) + sin(x – y)]dy=0

A: Given, cosxdx + [ sin(x + y) sin(x- y) ]dy = 0 we have to solve the differencial equation

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

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Q: The graphs of the functions f and g are shown in the figure. y 4 f 1 -1 1 2 3 4 6. f(x) Let u(x) = f...

A: topic - functions and derivatives

Q: 3 + 2xCoS (x) Aト 3x-5xe^

A:

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

A:

Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a ...

A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the amou...

Q: sin(t) Find the equation of the tangent line to f(t) = 9 +9 cos(t) at t = 3 (Use symbolic notation a...

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Q: h(x)= cot r11- tan"x

A: Given, hx=cot-11x-tan-1x We have to find h'x.  

Q: In the integral, cos?tsin2tat , the correct u using general power formula is; A cost B sin(2t) © sin...

A: Given integral is ∫cos2tsin2tdt =  ∫cos2t(2sintcost)dt = 2∫cos3tsintdt Now taking u = cost  Differen...

Q: Which of the following integration expression can't be transformed into integral of power Ju"du). @ ...

A: In this question , we can check which integral transformed into ∫un du.

Q: `In²(Ine*) dx (A) Inx B In'x Inx2 D Ine" None

A: integration

Q: Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x- 0.1x2 a. Find the avera...

A:

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

A:

Q: , then the M is equal to Blank 1 (use small letter, no space)

A:

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...

A:

Q: S [sin(Inx?) ]°dx Which of the following is equivalent to -? х

A: Follow the procedure given below.