1. The graph of a tunction f is displayed below What is the limit of f(=) approaches O? +++ i23 456 -9-8-7-6-5-4-3-2 8 9

Q: k. Evaluete the given limib

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Q: TRUE or FALSE. Type in "1" if TRUE, type in "2" if otherwise. | f(x)dæ = F(x) implies that d [F(x)] ...

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A: General formula for volume of cone, V= (Pi* R^2 * H)/3

Q: en k=1

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Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

Q: dy Find dx if y = x (log2(x* – 4x))° dy dx ||

A: Topic = Derivative

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A: This is a basic differentiation problem

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

Q: 2sin(e²^) cos(e²") dx, we let u=e2 To evaluate A) True B) False

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Q: tan(tan3x) dx S cos²3x Evaluate: In [sec (tan3x)| +C A 3. B -In |cos(tan3x)|+c [cos(tan3x)| +C © --I...

A: ∫tan(tan3x)cos2(3x)dx∫sec2(3x)×tan(tan(3x)) dxSubstitute t=tan(3x)dt=3sec2(3x)dxdt3=sec2(3x)dx

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Q: The alternating series (-1)" . converges. (You do not need to prove this, but you can if you 1 3" n ...

A: Here, the given series is: ∑n=1∞(-1)n13nn Now, the given series is an alternating series with 13nnn=...

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. T/6 2 ...

A: Find your answer below 

Q: Question I L0, Write the following Integral as a limit 3. b Determime whe ther the following integra...

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Q: Express the general solution of the given differential equation on the interval (0, 0) in terms of B...

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Q: Time spent using Internet (hours) times by the students. A line of best fit is also amount of time, ...

A: The line of best fit indicates the approximate value of average time spent using the Internet on Sat...

Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then use the fo...

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Q: 19-42. Limit proofs Use the precise definition of a limit to prove the following limits. Specify a r...

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Q: 4x2 – 25 -dx Evaluate the integral: (A) Which trig substitution is correct for this integral? 5 sin(...

A: Given problem:-

Q: Tutorial Exercise Evaluate the integral. dx Step 1 Recall the Inverse Substitution Rule, where f and...

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Q: a) The value of the following integral 224 2da is Answer: I b) Find the indefinite integral (2x+3)dr...

A: To evaluate the following integral.a ∫012x4-2 dxb ∫2x+3 dxc ∫0x et dt 

Q: csc5x cot5x dx 5csc5x (A csc5x B csc 1 -csc5x 3 В 1 -csc5x 3 D csc5x None

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Q: To determine To find: The value of lim ( - →5 12-41-5 6(1-5)

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Q: Consider the function shown below. What type of function is shown in this graph? O A. density functi...

A: This is a question of probability chapter. Based on the graph of PDF and CDF we will answer the ques...

Q: -2 The function graphed above is decreasing on the interval The inflection point is at x = on 2-

A: Solution: Clearly by graph we can observe that  

Q: Solve the problem. Find an upper bound for |E in estimating S (5 - 20) dx with n = 6 steps. M(b-a)* ...

A: Error bound Simpson's Rule :Suppose that f4x≤M for a≤x≤b . If ES is the error involved in using Simp...

Q: Evaluate; In (sin²s ) sin2xdx sinx +C 3 A sin?x B) +C sin

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Q: Q4:A/ Find the length of an arc of the curve y = (1/6) x + (1/2) x from x = 1 to x = 2.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: Evaluate each of the following integrals. 1. S cos5 x Vsin x dx 2. S sin* 3x dx

A: Let ,I=∫cos5xsinx3dx⇒I=∫cos2x2.cosxsinx3dxWe know that , cos2x=1-sin2(x)I=∫1-sin2x2.cosx.sinx3dxPut ...

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A: Integration √1+(f'(y)) 2dy

Q: Radoc-Lactuan, I. et. al Analytic Geometry C. Show that the following sets of points belong to the s...

A: topic - coordinate geometry

Q: 00 Does the seriesE 1 converge or diverge? Give a reason for your answer. 15n - 1 n=1

A: 1P- Series Test:The series ∑1np = 11p + 12p + 13p + ...1. Covergent if p&gt;12.Divergent if p≤12 Com...

Q: (a) Find the differential dy. y = V 15 + x² %D

A: y = f(x)dydx = f'(x)dy = f'(x) dxy=15+x2dydx = ddx(15+x2)dydx = 1215+x2 ddx(15+x2) dydx = 2x215+x2dy...

Q: Question Determine the set of intervals where f(x) = V8x2 + 14x – 15 is continuous.

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

Q: et kdt k A True B) False

A: First we solve L.H.S then solve R.H.S . We use the formula integration of eat=eat/a

Q: Consider the function shown below. V. 4 8 What type of function is shown in this graph? O A. density...

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Q: sec2. dx = a ln b 1+ cot x cot x sec? x %3D What is -? a klos

A: Let I=∫π6π3cotx.sec2x1+cotxdxI=∫π6π3cosxsinx.1cos2x1+cosxsinxdxI=∫π6π31sinx.1cosxsinx+cosxsinxdxI=∫π...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Here, the given curve bounded by : y=x-1, y=0 &amp; x=6       

Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then do u-sub) ...

A: The integral is given by I = ∫-∞015x-12dx Formula Used: ∫u-ndu = u-n+1-n+1+C To evaluate: The value ...

Q: B-1 0ンエ a (( F-C)P) 3- Beta= (i-ベ) Calpha %3D Solve for P2

A: Explanation of the answer is as follows

Q: - In²(Ine*) dx A In²x B B Inr Ine D Inx2 E) None

A: topic - definite integral

Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. (- 1...

A: Here we have to determine whether the sequence {an} converges or diverges.

Q: F(s)

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Q: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. In (n + 4)...

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