Evaluate: lim (sin¯¹ x)ª. x→0+

Q: If you don't mind could you please do the work on paper instead of typing it?

A: We will find the required.

Q: COS U = sin(u) = 12/13 cos(u) 5/13 sin(u-): = -5/13 -cos(u-) = -12/13 5 13 and sin u is negative.…

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Q: 8 x (x² + 1) ³ dx

A: we will find the required.

Q: (part 2 of 4) Find a power series representation centered at the origin for the function 1. Σ n=0 3.…

A: Solution is given below:

Q: нас 2 obtain the Fis for f(x)= X-X² in the interval [-^, ^] ? Solution ht! 2 ans : = = =+ 25 (1452…

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Q: Please help with part b

A: We will find the required sum.

Q: Suppose that $13,000 is invested in a bond fund and the account grows to $13,710.86 in 3 yr. Part: 0…

A: given  inversted is $13000 grows to $13710.89time is 3 yr formula used is A=Pert

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Q: Write the improper integral in terms of x that will determine the convergence or divergence of the…

A: Solve the following

Q: lim x→0 3x² - 1 x-1 by L'Hospital's rule we differentiate numerator and and obtain 6x/1 and now…

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Q: 6 S 2 X√x - 2dx X₁

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Q: Use an appropriate Taylor series to evaluate sin(3x) - 3x + 2x³ x3 lim x →0 1. limit= 2. limit 3.…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: For u = 6 . y4 . 25, ca ენკ მთმy2მ23 calculate ენკ მმ3/2d/3

A: Given u = x6.y4.z5

Q: Given that S² ƒ (x) d x = 5, evaluate f² ƒ(x) dx.

A: Given,            ∫37fxdx=5To find : Evaluate ∫73fxdx

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: Find the local extrema of f(x)= (x-1)^2 / x^2+1 Using first/second derivative test

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: etup, but do not evaluate, the integral which would give the area of the region bound by the z-axis…

A: Given query is to setup the integral for area .

Q: Which of the following pair of points has slope m = -2? □ a. (-1,3) and (-5,-11) O b. None among the…

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Q: Solve the following DE: y'=y-ay-³e-2r O e²¹ = y(x²+C) 2x O e ²¹ = y²(x²+C) -2x ○ e− ²¹ =y²(x+C)…

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Q: Se fe-4² (e²-1) ²dx 4x е

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: 1 n Prove that 1+ 2+ -3+ + 2-1 (Hint: Differentiate both sides of the equation equation.) +4. 1 1-z…

A: The solution is given below

Q: Find the sum of the series. 8 n = 0 (-1)^²n 62n (2n)!

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Q: 6) The number of downloads of a certain app is 13.6 million in 2019, and 11.4 million in 2022.…

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Q: Find the slope of the tangent to the parametric curve at the indicated point. (Round your answer to…

A: slope is dydxdsinxdx=cosxdcosxdx=-sinxdydx=dydtdxdt

Q: dy 2. Use the method of separation of variables to solve dx ex+y √3+ex with the initial condition…

A: We have to solve the given differential equation.

Q: 36. p4 0 (4-t) √t dt

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

Q: sin(y²)dy Compute lim x6 Fundamental Theorem of Calculus and L'Hospital rule together. If the limit…

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Q: Evaluate the line integral, where C is the given curve. [ xyeyz dy, C: x = 2t, y = 4t², Z = 2+³, 0…

A: ∫xndx=xn+1n+1+c∫exdx=ex+cxyeyz=(2t)(4t2)(e4t2×2t3)=8t3e8t5d(xn)=nxn-1dx

Q: Evaluate: 1₂ ნენ 76 + 3 dx 11

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Q: the magnitude of the rate of decay of a radioactive material is 0.15 times the reciprocal of the…

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Q: Determine whether the following statement is true or false. Given constants a and b, if f is…

A: Topic = Function Correct Option = C

Q: A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $25 per acre.…

A: This question can be solved using the concept of graphical solution of linear programming problem.

Q: If u=sec 0, then A B 1² D du Г ©√¹² √u du C 1 1 SV² u√u su du 1 #/4 du tan 0 √s sec 8 de=

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Q: Which of the following function does not have domain equal to R\ {-2, 2}? O a. None among the…

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Q: Express the sum without using sigma notation. Simplify your answer 10 n=8 n8(1+n+n²)

A: Topic = Algebra

Q: S tan 5x dx

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Q: The sequence is defined recursively. Compute the first five terms a₁ = 0; an = 2an-1, n ≥ 2 a₁ = a2…

A: Given: So,              a2=2a1=20=1a3=2a2=21=2a4=2a3=22=4a5=2a4=24=16a6=2a5=216=65536

Q: Step 3. What is the formula for the surface area of a right cylinder? A = Step 4. What is the…

A: We will find the required.

Q: The functions f and g are continuous on a closed, bounded region R DR D₁³ R R Use properties of…

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Q: The magnitude of the rate of decay of a radioactive material is 0.71 times the amount of the…

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Q: 이 y = cos x ㅠ 2 37/2

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Q: Find the first few terms of the Taylor series centered at x = 0 to evaluate: cos a 1 x² lim z-0

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Q: Solve the following DE: y'=y-xy³e-2r O e²¹ = y(x² + C) 2x O e²x=y²(x² + C) -2x = y²(x + C) Oe-2x =…

A: To find solution of given DE.

Q: Graph the function f(x)=x2-1 over the interval [0, 2] Partition the interval into four subintervals…

A: The given function fx=x2-1 over the interval 0, 2. The Riemann sum intervals divided into four sub…

Q: d Calculate dx- In x² sin³ t dt

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Q: What was the number of share of stock sold this day for Robert Half (RHI)? Review reading stock…

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

Q: Textbook Let y Ay≈ Videos [+] 5x² + 7x + 2. If Ax 0.4 at a Submit Question Jump to Answer 3, use…

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Q: A rumor spreads around a city, which has a population of 108,000. The rate of change of the number…

A: Let y denotes the fraction of population who heard the rumorThen 108,000 -y people not heard the…