Express the integrand as a sum of partial fractions and then evaluate the integra 4x2 xp. 4 1

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1) an = tan-1 (...

A: Here we have to determine the given limit.  We have, an=tan-11-4n

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A: Given: - A burn on a person's skin is of the form of a circular region. It was found out that the bu...

Q: A baby rabbit moves 5 inches forward with each hop and his mother moves 14 inches forward with each ...

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Q: 343 | lim x → 7 x – 7 - O - 28 O 147 O 98 O – 147

A: Topic:-  limits and continuity  

Q: Determine all the partial derivatives of f(x,y, z) = y² In(x + 2y) – In(3z) (x³ + y? – 4z) Determine...

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Q: Start at 1. Create a pattern that multiplies each number by 2. Stop when you have 5 numbers.

A: You are asking me to creat a sequence that we can make in many ways. One of them I am showing here.

Q: 8. Compute the derivative of the following equation. (1) y = (x +1)3(2x – 2)2 (ii) y2-4x² y+x=16

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Q: Evaluate the following definite integrals, t(1 -t)² dt = а.

A: Solution: ∫-11t(1-t)2dt Expand=∫-11t-2t2+t3dt

Q: Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, – 3) and passing ...

A: Given problem:- Determine the standard form of equation of a hyperbola with vertices at (2,3), (2, -...

Q: What is the second derivative of f(x)=x^2lnx

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Q: Problems: 1. Engineers have observed that when transferring a message I (an input signal) through a ...

A: All parts of the problem are solved below in detail.

Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully simp...

A: Topic:- trigonometry

Q: 3 4 Sa cos xsin xdx cos

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Q: Given: sin a= & in Quadrant I and cos 8= - 12 in Quadrant Il; evaluate the following expression. tan...

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Q: Integration by parts. cos?x sin4x

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Q: 7. SV103% dx

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Q: 6. For the function a 10th degree polynomial. a) Up to how many x intercepts can there be? b) Up to ...

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Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then di...

Q: Problem 13: Graph the function below. State the range and domain using (x+1 if -9 3 if -3<x<3 if g(x...

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Q: Find a formula for the graph in terms of f (x) = sin x or g(x) 10 = COS X. NOTE: Eter your answer in...

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Q: Create a question covering inverse of a  functions

A: We have to find inverse function

Q: 16 The expression log can be written in the form z12 A log(x) + Blog(y) + C log(z) where A B = and C...

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Q: 1 d.r r/1+x°

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Q: (y)² = 1-y? 1-x? 2

A: First we take variable separable then integrate it.  Then using given conditions y(1) =1/2 Then we g...

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

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

Q: 10. J(3x3 — 5х + sin3x) dx -

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Q: Directions: Work in your small group to complete this worksheet. Return the completed worksheet alon...

A: We need to find rate of change of area.

Q: Question Select your answer. If f(x) = cos z, and g(x) = 5 f(2), does lim g(x) always No, because f(...

A: Given problem:- if f(x)=cosx and g(x)=5-f(x) does limx→cg(x) always exist for any real number c?why?

Q: Calculate slope and show it. show calutions Time in seconds: 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7,0...

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Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

A: Here, the given relation between Y and X is negative that is as X increases Y decreases. One of the ...

Q: Problem 6 Consider a market that sells individual marbles. Qs=2+2*P Qd=11-P   A $3 tax on consumers ...

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Q: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operatio...

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Q: e dx (9+ e2=)

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Q: Evaluate f v-8+ 6x – x2 dx using trigonometric substitution

A: The objective is to evaluate the integral using trigonometric substitution

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

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Q: Simplify (129 + 121 + i) (12021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Write the equation of a conic given by x2 – 9y2 + 2x- 54y-80=0 in standard form. (x+ 1)² (y+3)? 162 ...

A: The objective is to write the equation of conic in standard form. 

Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 2. lim 5" 4. lim cosr 7...

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Q: 3 lim f(r) エーC lim g(r) 12, and lim h(r) = -3. エーHe エー Compute the following limits: a. lim(-4 f(r))...

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Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

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Q: In the decomposition a = aTT + aNN, what do aT and aN represent?

A: Tangential and normal component of Acceleration : Suppose that r→(t) is a smooth parametrization of ...

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Q: Use a finite sum to estimate the average value of f(x)=x* on [0,2] by partitioning the interval into...

A: To evaluate the f at the subinterval midpoint

Q: 6. Let T: R → R be defined by T((a, b,c)) = (a, a – b,b + c). Determine whether T is a linear transf...

A: 6. T:ℝ3→ℝ3 be defined by Ta,b,c=a, a-b, b+c

Q: Sun. Mon. Tues. Wed. Thurs. Fri. Sat. number of births 13 24 19 25 15 21 15 probability...

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Q: For the polynomial below, 2 is a zero. f(x) = x + 2x - 7x - 2 Express f (x) as a product of linear f...

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Q: x2 +4 dx 2x2 + x

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