B. LIMITS Evaluate the following limits: EI 191 lim g (y) y+-2 y° +5 if y < -2 3 – 3y if y 2 -2 where, g(y)

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

A: Topic = Integration TRUE

Q: Question 5 When you evaluate dr. The sum of the coefficient of x" for any constant n>0 is Blank 1 (u...

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Q: el+y dA ‚Where D= {(x, y) ||a| + \y| 0, x2 + y? < 1.

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Q: Question 8 e* then the integrand is the same as dx In 4+e¬* 4e* +1 A True B) False

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Q: If (Mesin(2x) dx = eSin(2x) + C, then the M is equal to-

A: We will differentiate both sides w.r.t 'x'

Q: Given the differential equation y" + 5y' + 6y = 7 sin(3x) + 10 x ex Find the Differential Operator f...

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Q: i learn.hawkeslearning.com/Portal/Lesson/lesson_certify <- Save & Exit Certify Lesson: 3.1 Product a...

A: We have to find out the points

Q: The average birth weight of elephants is 210 pounds. Assume that the distribution of birth weights i...

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Q: 4y+4(4x-5y)-7+9(3-7y)

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

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

A: Please see the below picture for detailed solution. 

Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D...

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute : cos(4x+3)=td(cos(4x+3))=-4sin(4x+3)dx=dtdx=-...

Q: Differentiate. f(x) = x+ f'(x) = Need Help? Read It Watch It

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Q: The antiderivative of Cos(3x) is Blank 1 (use small letter no space)

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Q: where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y ...

A: here,  y=acc+12dydc=-ac2+11ac-12a(c+12)2  

Q: sin 2 rsin2tdt A sint B sin 21 cost D sin2t E None

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Q: Determine the roots of the following simultaneous nonlinear equations using Newtor Raphson Method, t...

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Q: 3x4-5xe*+2xcos (x) Evaluate: 3x4 - 5ex – 2sin(x) + C 4 (A B x3 - 5ex + 2sin(x) + C O x3 – 5ex – 2sin...

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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: g(x) = 3x2 Vx2+2х-1

A: We are asked to find the derivatives of the function.

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

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Q: Evaluate: tan(4x +3)dx A 4 A -In |cos (4x + 3)|+c B -In |sin(4x + 3)|+C 1 (c) -In |csc (4x+3)|+C D -...

A: integration

Q: A certain bacterium is known to grow according to the Malthusian model, doubling itself every 8 hour...

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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: Find the values of a and b that make the following piecewise defined function both continuous and di...

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Q: sin 2 tsin2tdt A sint 3 B sin 21 cost D sin21 E None

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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: SIn°(Ine*) dx

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Q: Question 1 The coefficient of Sec(x) when J (tan(x) – sec(x))*dx was evaluated is Blank 1 (use numbe...

A: Explained below 

Q: x-x+1 dx Evaluate: 2,2_ 2,½-224C A 3 B 2 2 D 5 3 E none of the given choices

A: We have to find solution

Q: derivative of the fun x + 2 y = e y' = %3D

A: We are asked to find the derivatives of the function.

Q: S- 5e2*dx 9e 4x - 6e2+1

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Q: Question 11 ean -15t sech(en-15) t Evaluate: 1+25/2 A -tan-le tan -ISt + C B tan-le tan-15t --tan -l...

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Q: T((a, b)) = (a, a + b, a + 2b). Find range T a

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Q: Which of the following integration expression can be transformed into integral of power (Choose 2) 5...

A: Solved below

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@ ) dô | (seco + tandsec20) do cos20 A True B) False

A: Left Hand Side    =∫cosθ+tanθcos2θ dθ                   = ∫cosθcos2θ+tanθcos2θ dθ             =∫1cos...

Q: xdx 5+ x 2 X

A: Here,             We have given an indefinite integral                now we have to solve this and ...

Q: 12. In each graph, a parent function has undergone a transformation of the form f(kx). Determine the...

A: Solution: a) As we can see in part (a)

Q: 1. Evaluate the integral

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Q: In²( Ine*) dx (А) Inx A B In2x C) Inx2 D Ine* E) None

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Q: 2x +1 5. y= x-2

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Q: Solve the given differential equation (4x + y- 1) da + (x - y- 4) dy = 0

A: To solve the differential equation.

Q: 3x4– 5xe* +2xcos(x) Evaluate: -dx A x3 - 5e* +2sin(x) + C В х3 - 5e*- 2sin(x) + С 3x4 5ex + 2sin(x) ...

A: The given integral is; [3x4-5xex+2xcos(x)]/x.

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: e5 (e4– 5*) dx= 5*+1 +C n + 1 5 A) True B) False

A: Since (e^4-5^π) is constant term , therefore it will come out from sign of integration not integrate...

Q: r16 Consider the definite integral zV 16z - z dz Then the most appropriate substitution to simplify ...

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Q: Evaluate: [Vx+ sin/X d. A 2x+ cos/x + C 2 (B) x- 2cos/x + C 2х- cos/x + C 2 D x+2cos/x+C E None of t...

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Q: Consider the pair of points below. (4, 5) (5, 3) Find the slope of the line passing through the pair...

A: The slope of line passing through the points x1,y1 and x2,y2 is:m=y2-y1x2-x1