dt 15+2t-t

Q: If lim, va f(x) = lim, »a+ ƒ(x), then lim, »a f(x) does not exist. Select one: O True O False

A: Since we are given with multiple number of question answered according to the guideline,.

Q: What is the volume of the solid generated when the region in the first quadrant bounded by the graph...

A:

Q: know what the derivative of e^(g(x)) is and what the derivative of In(g(x)) is. I.e. the chain rule ...

A: From chain rule  If g(x) is a differentiable function, then the derivative of eg(x) is g'(x)*eg(x) ....

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: The nth term of the binomial expansion of (a+b)n is given by: Tr+1=Crnan-rbr...(1) Here, to find the...

Q: Explain why each of the following integrals is improper. 10 (a) dx 9)4 (х — O Since the integral has...

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Q: Determine whether the sequence an 13 23 n3 converges or n4 diverges. If it converges, find the limit...

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Q: Determine whether the sequence an 11 21 n2 n2 converges or diverges. If it converges, find the limit...

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Q: Variable Separable (6) (xy -3y +x – 3)y' = xy + 2y - x- 2

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: Find the area enclosed by the x-axis and the curve y=4-x². 32 A -square units 3 В 32 square units 36...

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Q: Given y= (10x+18ex )9 , find dy/dx

A: The given function,      y=10x+18ex9

Q: de 2 C:and 0.1784 arctan + C; and 0.1784 arctan aretan k- + C; and 0.1784 arctan

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Q: 1. siny dx + (x - sin? y)dy=0

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Q: 2x 入t]

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Q: 1. For the function g(t) whose graph is given below, state the value of each, if it exists. If it do...

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Q: Homogeneous Differential Equations (11) (x – y)dx + xdy = 0 (12) (x sin- y cos) dx + x cos 2 dy = 0 ...

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Q: -3 -2 -1 1 2 3 Refer to the graph below to answer the following 5 questions. Record your answer to e...

A: We need to evaluate limit.

Q: how do you multiply big numbers and don't get confused?

A:

Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below 

Q: Find the general solution of * y" - 3y' + 2y = 2x² + 1

A: Given: y''-3y'+2y=2x2+1 So, we can also write as: D2-3D+2y=2x2+1 So, the auxiliary equation is: m2-3...

Q: A particle moves along the x-axis so that at time t ≥ 0, its position is given by x(t) = 2t3 - 3t2. ...

A: V(t) = d[x(t)]/dt Put, v(t) > 0.

Q: . Use the appropriate limit laws and theorems to determine the limit of the sequence. an=(3+8/n^4)^1...

A: We will evaluate all above as shown below

Q: 49 -dx Find the antiderivative of 7* + C 2 In 7 A 7* + C In 7 (B 2 In 7 + C In 7 + C 7* D

A: topic - indefinite integral

Q: Find two positive numbers with product 361 and whose sum is a minimum. Enter your answers in increas...

A:

Q: 2. Nhat is the value of n for the row of Pascal's Triangle that is: 4 1 6 4 1? correct value of n) W...

A: Follow the procedure given below. 

Q: Scscx cotx sin (csc x )dx

A:

Q: Evaluate the line integral along the given path. (Give your answer correct to 2 decimal places.) | 6...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: 8.Detormire the maximom num bec of Furning poinds Of .

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Q: [tan*dog a) * dx x) x(1+log?: tan (log x) 8. 2

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Q: 9. Descrise the end behanos of the Gollor wng furtetoon.

A: The given function is: f(x)=-x5+2x3-x+1

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing no...

A: In this question we have to find how fast is the distance between the ships is changing at 4:00 PM.

Q: Evaluate the integral. 0.4 x2 dx 4 - 25x2 |

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Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

A:

Q: Find The Area Enclosed by the Curve x=7²-2t,y-VE and the Y-pris

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Q: Determine whether the given sequence converges, and, if it does, find the limit. i. An sin () %3D

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Q: y =

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Q: x2n+1 Given the Maclaurin series for sin x is sin x = E=0(-1)". find the Maclaurin %3D (2n+1)!' seri...

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Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

A: Given that: f(θ)=2sec3θ

Q: 2. What is the egnation of a line to Seyment from = <8,0,47 to P =<-5, 2 17 .

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Q: 8. Find the exact value of each expression. 3V34 tan cos 34

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Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + cze3x (2) by eliminati...

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Q: Explain why each of the following integrals is improper. (a) dx (x - 9)3 O since y=- - has a vertica...

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Q: 30 f(t) dt = 11 f(5) = 23 • f(30) = 27 f(6 In(x)) dr Evaluate:

A: Given: ∫030f(t)dt=11...............(1)f(5)=23.................(2)f(30)=27................(3)

Q: Repeating decimals can be expressed as an infinite series. Use the sum formula for an infinite geome...

A: The given number 0.81

Q: 3- 2-6 -3 -2 -1 1 2 3 The following function is discontinuous at three values of x. List these value...

A: We will find the point of discontinuity. 

Q: Proof 2: 14 sin x dx tan xdx = /6 COs x 1 -= sec x dv = sin xdx cos x du = sec x tan xdx v =-cos x 1...

A:

Q: 4. A metal is heated up to a temperature of 5000C. it is then expose to a temperature of 380C. after...

A: (4) Given that , Initial temperature = 500°C T0=38°C After 2 minute temperature = 190°C Evaluate whe...

Q: e*dx e2x +1

A: We know that; ∫axdx=axlna+C And ddxcot-1x=-11+x2   Given: I=∫7cot-1exexdxe2x+1   ....1

Q: Зех-5 Find the lim and lim of: —5ех—1 X→-00

A: We have to find out