Find the area enclosed by the x-axis and the curve y = -x² + 9.

Q: Find all values for the function y = EMX a solution to the DE: y" - y" – 6y' = 0 %3D

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Q: -b 5dx If +1 = 2-, what is the value of b? 3/ 4 V8x2 8.

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

A: A particle has acceleration s''(t)=5t+3Initial velocity is s'(0)=-4 cmsecinitial displacement is s(0...

Q: S (7z³ + 4x²) dx

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Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity i...

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Q: - Find the antiderivative of 5inxIn5cosx. a. 5cosx + 3 c. 5sinx In 5 b. 5sinx – 2 d. 5sinx -+7 In 5

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Q: Evaluate f x+3 x3+27 dx.

A: Our Aim is to evaluate the integral given below:-∫x3+27x+3dx -(i)

Q: dx What should be the rewrite of the integrand of f so that the resulting integral is integrable? 1+...

A: We have to find integrand 

Q: A population of bacteria has 1175 bacteria in its starting population. The half-ife of this particul...

A: Given:   Bacteria : 1175     Days : 14

Q: Find the value of k so that the value of S,"(2y – 1) dy is 10. 1 2 3 4

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Q: Find the limit of the rational function (a) as x→oo and (b) as x- 0o. Write oo or - 0o where appropr...

A: Given, f(x)=5x+87x+7

Q: The definite integral (-*+) dx when evaluated is equal to 11 Find the value of a. 12 3Vx a

A: J

Q: Question 1 If f(x)dx = 5, Lf(x)dx = 2, and fi f(x) dx = -1, find f(x)dx. ... А.) —2 В.) 2 С.) —3 D.)...

A: ∫ab f(x) dx =-∫ba f(x) dx ∫ab f(x) dx = ∫ac f(x) dx +∫cb f(x) dx

Q: Given the linear system x1 - x2+ x3 + x4 =5 - 2x3 + 4.x4 = 3 2x1 - x2 - a3 + 4x4 =7 a) Write its aug...

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Q: d²x dx 5 dt2 2- 3x = -9t2 – 1 - - dt dx When t = 0, x = 1, = 0, find x when t = 2 dy %3D -

A: Please see the below picture for detailed solution. 

Q: The slope of curve is given as (2x + b +) and has a value of 2x3. 17 at x = 2. What is the value 16 ...

A: as per question  We have determine slope of curve   

Q: sin?(꽃) + cos? () + tan2 (품) 2 1/2 1 1/2

A: We will find the solution in the following step.

Q: Given f(x, y) = 9xy® – 6x*y. Compute: a?f ду? ||

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Q: Choose the correct graph of y = tan x, - < x< ": <x< :

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Q: Which of the following are rational functions? Select all that apply. 1 Of({x) = Of(x) = log(x) 3* O...

A: functions are given we have to find the rational functions.

Q: -b 5dx If f = 2, what is the value of b? А.) 2 В.) 4 С.) 8 D.)

A: Given:       ∫1b 54 8x23dx +1 = 2 78

Q: 81 구 4 The graph of f(x) is shown in red. Draw the graph of g(a) = f( – x). -8 -7 -6 -5 -4 -3 -2 -I ...

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Q: 8. Let f(x) = x3, g(x)= sin(x) and h(x) =Vx. Evaluate the following functions. a. h (g ("/2)) b. Dom...

A: f(x)= x3 , g(x)= sin(x) , h(x)= √x ,  Evaluate  a)h(g(π/2))  b) domain of g(f(x))  C) range of f(g(x...

Q: 5dx If Verz+1= 2, what is the value of b? %3D A.) 2 B.) 4 C.) 8 D.) 9 A D B A

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Let's find. 

Q: Using the disk method, determine the volume of a solid formed by revolving the region bounded above ...

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Q: Determine which of the following Differential Equations below would use the following general form f...

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Q: New Tab ?HELP CENTER 9. [-/9.09 Points] DETAILS LARPCALC115.2.030. Verify the identity by converting...

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Q: Question 5 The slope of curve is given as (2x + b + 5) and has a value of at x = 2. What is the valu...

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Q: ரட தொம் Graph く メ- Y O ソン 2 ミーX 3. 2. メ4

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?...

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take denomi...

Q: L:(sin x – 1) dx + ,cos x + 1) dx =? c)-1 а.) -89 b.) -91 d.) - (1 +)

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: Choose the correct graph of F(x) = 2 sin (2x+ t): 1 27 37 -1 -2

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Q: Find the x-coordinate of the first point in the region æ > 0 where y = 2x intersects y = tan r. Give...

A: Given y=2x Y=tanx

Q: | (3t + t*) sin(2t) dt 3.

A:

Q: The definite integral (-+) dx when evaluated is equal to - 11 Find the value of a." 12 3Vx. a

A: Given ∫49-xa+13xdx = -1112we know that∫xn dx = xn+1n+1 + C

Q: Find the indicated integral (if it exists) / e bx dx e12z +1

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Q: dx What should be the rewrite of the integrand of so that the resulting integral is integrable? ... ...

A: ∫dx1+cosx

Q: Find a function f(x, y, z) such that Vf is the constant vector (4, 5, 3). (Use symbolic notation and...

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Q: The tank in the form of a right-circular cone of radius 11 feet and height 15 feet standing on its e...

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Q: Given the differential equation y" - 2y' - 8y = 5x e3x The General Solution to its Particular Soluti...

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Q: TC 4 |(sin x – 1) dx +| (cos x + 1) dx = %3D TC 4

A: Intigration

Q: To evaluate 3cos x=1 dr. the integrand can be transformed to 1-sin2x A.) S(3cos³x + csc?x)dx B.) 3 c...

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Q: 18. A bus traveling at 66 ft/sec along a straight , level road decelerates at constant rate of 22 ft...

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Q: What is the period of G(x) = 5 sin(3x - 3 T)? %3D 2pi 2pi/3 2pi/5

A: Given that: G(x)=5sin(3x-3π)

Q: Use Newton's Method with the function f(x) = x² – 2 and initial value xo = 3 to calculate æ1, x2, X3...

A: Newton's approximation method is used .  x1,x2,x3 are calculated or n =0,1,2 respectively.  

Q: Find the area under the curve y = xe for x > 1. area %3D

A: Given curve is y=xe-x for x≥1 Apply the area formula  ∫01xe-x dx      ⇒∫01xe-x dx⇒(-x-1)e-x01⇒1-2e-1...

Q: 49. x = f(p) = 950 – 2p – 0.1p - - (A) p = 30 (B) p 50 (C) p = 70 %3D %3D

A: We will use the price demand equation at find the demand is elastic . unit elastic or inelastic.Belo...

Q: Find the degree 3 Taylor polynomial approximation to the function f(x) = 8 ln(sec(x)) about the poin...

A: Given, f(x)=8(ln(sec(x))) Find Taylor polynomial of degree 3 about the point a=0 we know that