Find the limit of the infinite sequence. (2n–1)² n²+8 tn Enter dne if the limit does not exist. If the limit is a fraction, enter it in the form a/b. If the limit is +/ infinity enter "positive infinity" or "negative infinity".

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the...

Q: To improve her handwriting, Hope practices writing the numbers from 1 to 200. How many times will sh...

A: We have considered numbers 1 to 200 in two class. The first class is from 1 to 100 and the second cl...

Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

A:

Q: (vz-i, »). a Let 7(t) = (/2-i -1+e' In(t + 1) (i) The domain of 7 is [a] (input a number from below)...

A: The domain of a vector function is the set of all t for which all the components of vector are defin...

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

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

Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15 ...

A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75 8:3...

Q: g(t)=4t^3+3t^2, find g’(3)=

A:

Q: he general antiderivative of a function is also called the. A integrand B arbitrary constant differe...

A: The general antiderivative of the function

Q: 13 – 2r dx 1.

A:

Q: . 2yda + (x – x³y³) dy = 0

A: here we have to check whether the differential equation is exact or non exact.

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

A:

Q: 3. Find the exact value of each trigonometric function. cos-1 cot

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Q: y = x², x = 1, y = 0; about the y-axis

A:

Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

A: Given that: f(x)=ax+bcx+d

Q: 11-18 Find the solution of the differential equation that satisfies the given initial condition. 12....

A: NOTE: Refresh your page if you can't see any equations. .

Q: Q = 6x + 3xy + 2y

A:

Q: 11. Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bom...

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Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2) =-1; f(3) =-3 Relatio...

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Q: |The vector projection of v = 4î + 4j + 4k onto W = 5î - 4ĵ + 3k is aî + bî +cê: where the exact num...

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Q: Find the following limit. If the limit is an integer, record the value of the integer (fractions sho...

A: Use the basic of continuous function. 

Q: n7 + sin(18n + 13) 29 Determine whether the sequence an n18 + 13 converges or diverges. If it conver...

A:

Q: Find the partial fraction decomposition of the function. Write answer in simplest form. x² +x+1 a) f...

A:

Q: 5* dx 1+5*

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: 41. D 6x° A 30° ДАСD 3D ДАСВ

A:

Q: if g(t)=4t^3-t^2, find all t for which g’(t)=0

A: Using derivatives.

Q: A bacterial population Y is known to have a rate of growth proportional to Y itself. If between noon...

A:

Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x...

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Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 ...

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Q: Find the limit, if it exists. Remember to use proper limit notation. Зx2+4х-1 lim х-2 х2-2х 16+x-4 b...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Show that In x lim x→1 x – 1 1.

A: To prove: limx→1 ln xx-1 =1 limx→1 ln xx-1 =00 form L'Hospital's Rule tells us that if we have an in...

Q: Arc sin -+ Arccos =0 y %3D y

A:

Q: A. Evaluate each of the following indefinite integrals: S*(1+v*) -ldv (cor-ly2) 2.

A: Solution is given below:

Q: Question 10 1+ cost = | cor*rdt cot'rdt I- rost

A: integration

Q: Determine the Convergence Interval of the following series! (x – 3)" n² n=1

A:

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

A:  A sequence an is convergent if it has a unique and finite limit "a".And we say that the sequence is...

Q: 3. Construct a table of values to investigate the following limits: 10 a. lim T→3 x – 2 10 b. lim T→...

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Q: Find the solution of the differential equation (x+ Vy² + 1)dx – (y - ху dy = 0 %3D Vy2+1,

A:

Q: 5e3* dx J 6. 9-12e3 +4e6x

A: integration

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

A:

Q: Find the derivative of f (x) = (4x + 1)(5x² + x/x ). Upload your work in the next question. The deri...

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Q: Suppose 16 1 4 a4 = 1 4 a1 a2 аз a5 1 6. 2 3 5 6. a) Find an explicit formula for an: b) Determine w...

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Q: ΤATΕMΕΝTS . The sequence converges to zero; The sequence diverges to positive infinity: . The sequen...

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

Q: Write out the first five terms of the sequence (-1)" n-1 determine whether the n2 n=1 sequence conve...

A:

Q: 1아 %3D %3D 3D -10 -15- lim_f(x) 2. lim f(x) x→-1+ 3. lim f(x) 1. x→-1- x→-1' 4. lim f(x) 5. lim f(x)...

A: Given problem:-

Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

Q: y = In (sin x²)

A:

Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: write the given expression in the form of u^2 - a^2: x^2 - 6x + 5 is equal to. SUBMIT YOUR SOLUTION ...

A: Here we have to use the completing square method

Q: Determine whether the following sequence is increasing, decreasing, or neither. 5n-2 i. an = 4n+1 ii...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

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

A: Topic:- derivatives