Set-up the integral to calculate the area of a region bounded by х-у-3 and y-x2 -6x+9? A dy dx x2— бх +9 3 (B •y2 – 6y +9 dx dy y - 3 none of these x2 - 6x +9 dy dx X-3 dx dy y2– 6y +9

Q: Let {an} be a sequence of non-negative numbers. Suppose that the sequence {a,} converges to 0. Show ...

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

A: Follow the procedure given below. 

Q: (sin(inx?))? dx? Which of the following is equivalent to the integrand of sin(inx+4) A sin?(7lnx) B ...

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Q: Solve the following (i) |10 - 3x |  ≤ 17  (ii) x² - 6x ≥ 13

A: We have to solve the inequality

Q: IX. sin (2x)dx by using walli's formula. a is equal to ? 29. A.0 В.1 C.2 D.pi/2 The definite integra...

A: Let's find. 

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: The time rate of change of a rabbit population is proportional to P^(3/2) . At time t= 0 days, the p...

A: Please see the below picture for detailed solution. 

Q: Find the derivative of y with respect to x. y = 8 In (4 In x) dy dx II

A: Topic:- derivatives

Q: A. FUNCTIONS 2 Given f(x) = 3x – 2 and g(x) =+, find each of the following: 3 (a) (f o g) (x) (b) (g...

A: If f(x) and g(x) are real valued functions then  (fog)=(fog)(x)          =f(g(x)) (gof)=(gof)(x)    ...

Q: Match the integral expression on the left with appropriate dV so that the antiderivative will exist....

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Q: Classify the differential equation: h_p +sec x V dæ4 O Fourth order, third degree, linear ordinary d...

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Q: メナー Aト 2.

A: Let's find. 

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: 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: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

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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: Solve the differential equations x (x- y²- x)dx =y(x²-y²) dy when x=2, %3D y=0

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Q: Match the function on the left with its antiderivative on the right side Submitted Answers Prompts C...

A: Anti derivative: If ddxf(x)= g(x) Then: g(x) is the derivative of f(x) f(x) is the antiderivative of...

Q: correct. Canvas uses right minus wrong scheme in checking multiple answers ty Question 2 Classify th...

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Q: let f(x)= -4+3e^x what is the range of f(x) using interval notation? what is the domain of f(x) us...

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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: If sin(t) = and t is in quadrant II, find cos(t), sec(t), csc(t), tan(t), cot(t). cos(t) %3D csc(t) ...

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Q: Question 11 To evaluate the integral expression J sin-1(Vx)dv,using simple substitution dv =f (x)dx,...

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Q: x2-V+1 When you evaluate dx. The sum of the coefficient of X" for any constantn>0 is Blank 1 (use nu...

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Q: Given cost and price​ (demand) functions C(q)=120q+44,900 and p(q)=−2.1q+850​, what profit can the c...

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Q: Which of the following differential equations can be solved by separation of variables? A (x²y² + x)...

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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: Verify the following general solution, then solve. Find the particular solution to the differential ...

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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: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

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: Suppose that fis)-\,P(G)=3,965 ond a'5)=8. Find the fllowing voiure

A: We have to find the derivative

Q: Using integration by parts, evaluate x cos(3x) dx x cos 3x - sin 3x + C Option 1 x sin 3x - cos 3x +...

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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: 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: The Laplace Transform of a displacement is given as +4a s(s+1): with a-2. Calculate the limit displa...

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Q: What is the value of (3+2i)³ + (3- 2i)6

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Q: SOLVE THE DIFFERENTIAL EQUATIONS. ( 3x2y + ey )dx + ( x3 + xey – 2y)dy=0

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Q: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

A: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

Q: To evaluate the integral expression / sin -1(Vx ) dv, using simple substitution dv =f (x)dx_ Determi...

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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: (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: sin³ydy 1+ cosy A 1+ cosy B 1- cosy (c) siny D sin³y (E) None

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Q: In the integral, cos?tsin2tat , the correct u using general power formula is; A sint B sin?t C) None...

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Q: (Inºx– 3lnx) +dx (A Inx B Inºx © Intx D In x- 3lnx E In x- 3 (F) None

A: The integral is  ∫ln6x-3lnx4xdx

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

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Q: 7. xD

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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: f [Mesin(2x) dx = e$in(2x) + C, then the M is equal to- If

A: