2. Tell the continuity of the function 4x - 2, f(x) =-2x +5. x> 2 a.) llustrate the graph b.) Evaluate c.) Find the limit d.) Conclusion

Q: 5. lim f(x) = +o, lim f(x) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3! x+1+ and f(-1) = 0

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Q: Evaluate the following indefinite integral Use C for any constant of integration 81 x1° dx =

A: The objective is to evaluate the integral. 

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A:

Q: x2 -4 x2 - x - 2 f(x) %3D (a) State the domain of the function. all real numbers x except x = -1, 2 ...

A: f(x)=x2-4x2-x-2f(x) =x2-4(x-2)(x+1)function is not defined at x=2,-1A) Domain:all real numbers x exc...

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A:

Q: Evaluate: ∫[(sin 3θ)^8][(cos 3θ)^6]dθ. From θ = 0 to θ = π/6 a. 2π/99 b. 2/99 c. π/99 d. 1/99

A: Evaluate: ∫[(sin 3θ)^8][(cos 3θ)^6]dθ. From θ = 0 to θ = π/6 a. 2π/99 b. 2/99 c. π/99 d. 1/99

Q: dy = ay + b whose dt Write down a differential equation of the form 17 as t→ oo. 18 solutions all ap...

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

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Q: Find the equation of the tangent line to the function f(x) = In(5x) at x = 2. (Use symbolic notation...

A:

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 36, (1,6) %3D

A: We will find first slope of tangent and then from the slop and tangent and point will find a equatio...

Q: 5. Verify that, for any constant C, y = t+4vt +C satisfies the differential equation (y-t)y' = y-t+8...

A: Given differential equation 

Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. 2+x if x...

A: The objective is to solve the above question.

Q: O 2ax-X Sa — х dx Jse gamma or beta laws

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Q: nt line of y = f(x)

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Q: Question 2 ( sin (x) + sin(x) cos²(x) To evaluate the -dx using basic formula of integration (withou...

A: Topic  -  integration Ans   1.496 

Q: With partial fraction decomposition the following rational expression can be expressed in the form x...

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Q: Question 1 Find the global maximum and minimum values of each function and indicate where they occur...

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Q: c) 7 dx [25x² + 4]°

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Q: Consider the following. 2x3 +5x2-32x-80 x2 x) %3D - 9x + 20 (a) State the domain of the function. al...

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

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

Q: /6х — 22

A: We will evaluate the given integral as shown below by using trigonometric substitution

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Q: Consider the following. 6/x-1/y=7   a) Find  y ′  by implicit differentiation. y ′ =        (b) Solv...

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Q: Determine the values of r for which the differential equation - 16y =0 has solutions of the form y =...

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A:

Q: 2. The graph of g(x) is given below. Find lim g(x) x→9. a.0    b. 9    c.1   d.2 3. What is lim h(...

A: 2. As you can see, the graph of g(x) is continous. Therefore,                limx→9g(x)=g(9)     -(1...

Q: The picture shows a combination hopper cone and bin used by farmers to store grain after harvest. Th...

A:

Q: 1. S 3x° + 2x3+7x - 4 dx 2. Sx7 – 48z11 3. S 10t-3 + 12t-9 + 4t³ dt 5z16dz -

A:

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 100, (-2,5) The l...

A: Given :x2y2=100    (-2, 5)

Q: With partial fraction decomposition the following rational expression can be as 110 A B (æ + 3)(x2 +...

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Q: 7. Using the rules of differential or integration, find the formula for the sum of the following pow...

A: We will first differentiate the given series that is equal to S(x). Then will take common 2 and canc...

Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

A:

Q: Зх +7 -dx = (х—1)(х-9)

A: Fully evaluate the integral.

Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function f(x)=0.002x^...

A:  The quartic function f(x)=0.002x^4+0.025x^3-0.36x^2-7.243x+86.993, where x is the number of years s...

Q: Find the derivative of the function. 29 r(x) = r(x) = %3!

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

Q: х — 1 x² + 8x + 15

A: The given rational expression,                x-1x2+8x+15

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Q: 22* – 8* - lim x → 0 sinx o In(176.00) O In(2.75) O In(14.00)

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Q: Determine whether the series converges. 00 1 Σ k+19 k=1 The series eTextbo diverges converges

A: ∑1∞ 1/(k+19) =∫1∞ 1/(k+19) =ln(k+19)]1∞ =∞ - 0 =∞ so the series is diverges to ∞

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Q: Let f(x) = (7 – 2x)" f(x) has one critical value at A = For x A, f(x) is Select an answer

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Q: 17 and sec 0= 15 17 Determine the values of the trigonometric functions of 0, where csc 0%3D 8. sin ...

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Q: Iculate the derivative indicated. d'y 1 + 322 where y = da2 \1 7 23 nswer:

A: d/dx(x^n) = x^(n+1)/(n+1)

Q: ∫x/(1+x4) dx=?

A:

Q: Rewrite the following statement with variables: There is an integer with a remainder of 1 when it is...

A: We have rewrite in variable form. Given there is an integer with a remainder of 1 when it is divide ...

Q: 8. Find the limit, if it exists, or show that it does not exist: 2x-y a) lim (xy)(1,2) 4x2-y2

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: 5. 4. 3 2- -6 -5 -4 -3 -2 -1 -1 3. -2- -3 -4 - -5+

A: Concept - with the help of graph of Tanx

Q: Va – V22 lim x → 22 х — 22 - (Use

A: