system. Include an appropriate title and leg # 2. Are the functions G (x)= and H(x)= x the same? Why? First explain theoretically, the support your conclusion graphically.

Q: 2. Evaluate each limit, if it exists. Show all reasoning. 2-Vx-3 4+x a) lim エーキー4 b) lim c) lim l X…

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Q: 3- f xvx2 +1 dx

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Q: +00 dx Evaluate the improper integral x (In x)?

A: To solve the following integral

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A: Given that the curve x=8y+3, 0<=y<=3  To find the Area of Surface generated by revolving the…

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Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: d d alculate dt r:(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt ne product directly…

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Q: Describe the graph of the equation. r = 8 cos t i – 17 sin t j + k O An ellipse in the plane x = 1,…

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Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 3 - %3D

A: Solving

Q: 2x4 h(x). 5x3 + 6 Select the correct response:

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Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

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Q: If logx y = 100 and log2 x = 10, then the value of y is: O a. 2 to the power thousand O b. 2 to the…

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Q: Directions: Solve the derivatives of the following functions using the rules in differentiation in…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 2x-4 | 5e dx

A: To evaluate the given integral.

Q: ! Solve the boundary-value problem y"+ 9y = 0, y(0) = -3 and y(a/3) = 2.

A: To solve the given differential equation.

Q: Work Problem [ solutions and justify your answers. Write step-by-step (1) L. | Solve the…

A: The given differential equation can be solved as follows:

Q: D. Write four related conditional statements (if-then form, converse, inversé, and con each of the…

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Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

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Q: Describe the graph of the equation. r = 19 sin 10t i – 19 cos 10t j O Itis a parabola in the…

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Q: Consider the differential equation y" – 11y" + 28y = 0 Write the auxiliary equation of the given…

A: We can solve the differentia; equation as follows:

Q: Verify Green's Theorem by evaluating both integrals v dx + x* dy = // aN ƏM dA ду əx for the given…

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Q: 4+x a) lim- 1+(3+ x)

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Q: Solve the following Initial Value Problem using Laplace transform: y" – 9y' + 8y = e-8t ; y(0) = 1,…

A: The given equation is  y''-9y'+8y=e-8t; y(0)=1,y'(0)=1

Q: What percentage of bookcases in the example are large? Large constitute: ______ %

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Q: Q3/ Find the area of zone bounded by curves: y= x² , y= 3x+8

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Q: R={ (x,y): 0<x, 0 y, x²+y? <49} be enclosed region. The result of the following double integral (by…

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Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

A: The given condition, a Petri dish containing 3000 newly discovered flesh-eating bacteria makes a…

Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: lamda A= ay %D MD 10

A: Given λ=ay/MD

Q: dx 1-S 4+x?

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Q: (1) [. | Solve the initial-value problem y" – 5y + 6y = 0, y(0) = -3 and y (0) = 2 %3D %3D %3D

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Q: Find the arc length of the parametric curve. = 4 cos(t), y = 4 sin(t), % = 3t; 0 < t < T L =

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Q: Suppose car A is heading south at 85 km/h and car B is heading east at 90 km/h. Both are headed for…

A: Consider

Q: Determine the equation of the tangent for f(x)=sinxcosx at x=π/3. Answers in exact value.

A: Equation of tangent is y-y1 =m(x-x1 )

Q: ? Va dx Vx csch vx cosh 4-S-

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Q: 3- f xvx2 + 1 dx

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Q: Let f(x) = V31 – x. Compute f'(6) using the limit definitic f'(6) = %3D Find an equation of the…

A: Given: f(x)=31-x

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A: We have to find the second solution of the differential equation.

Q: If the ideal gas law (PV=kT) is used to find P when T and V are given, but there is an error of 0.3%…

A: PV = kT   P = kTV                                               1…

Q: tan 0 =-1, 0 in QIV

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Q: 3- fxvx? +1 dx

A: Let's find.

Q: 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y)

A: Let fx,y=x-yx+y+1. Finda f2,1b f1,2c fa,ad fy+1,y

Q: FinD THE arza BOUNDED By THE CURVES : y° +y +Z %3D

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Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Solving

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to a = 1…

A: The curve y=3x32-4, from x=0 to x=1

Q: Evaluate the integral sec? r Vtan3 x dx. (a) tan x + C 2 (c) = tanš x + C (b) ; tan? r + C 2 (d) =…

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Q: Question 8 of 10 v(x) = 4 cos(sin(3x)) Select the correct response: –12 sin(3x) cos²(3x) -12 cos(3x)…

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Q: A spring whose natural length is 13cm exerts a force of 37N when stretched to a length of 18cm. (a)…

A: Given that the spring whose natural length is 13cm exerts a force of 37 N when stretched to a length…

Q: Question 4 of 10 m(x) = sec²(e2r+1) %3D Select the correct response. o e2a+1 e2u+1 sec(e2+1)…

A: I am attaching image so that you understand each and every step.