A SKETCH the graph and DETERMINE the domain and range of the following piecewise function. (2 - x? 1. if x <1 if x> 3 if - 2

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Q: 2. (cos"B- sin4 ß )?dB

A: ∫cos4β-sin4β2dβ∫(cos2β)2-(sin2β)22dβ∫(cos2β-sin2β)(cos2β+sin2β)2dβ∫(cos2β-sin2β)(1)2dβ∫cos2β2dβ     ...

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Q: 1) lim (- sin x

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Q: Find the tangent line to the curve y = 2x - x? at (2,0)

A: We can find the required answer as below

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Q: dx =(x²ye y + Jx2 +y2 dx = xdy when x=J3', y=I 3xy2) dy 3. 4.

A: Note :- this is multiple questions and according to our company guideline we can do maximum one ques...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: The given series is: ∑k=1∞(-1)k+18kk2 Let, ak=(-1)k+18kk2, k≥1

Q: sin ()-/9 – a² – a V9 - ? +C 81 O sin () -av9- a + V9 – a² + C 0-sin-1 (즐) - 응2V9-2 +23v9-27 + C ○ 뽑...

A: Given: The integral is ∫ x29-x2 dx

Q: (3y²-x²» = 0 ;when x = 1, y = 1 2y4

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Q: 6. A function is defined by f(x) = Asin(Bx) + C, -n < x ST, where A, B, CE Z. The following diagram ...

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask ...

Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

A: We need to identify that the given series is convergent or divergent using the integral test.

Q: sin 4xdx = 2(sinx)? -2Csinx)4 tC %3D

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

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Q: ( 3x²y + eY )dx + ( x³ + xe' – 2y)dy=0

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Q: S 3x f"(x) dx 48 42 36 NONE OF THE CHOICES о

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Q: Determine whether the series converges using the limit comparison test.

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Q: dx x2 – 64 First, rewrite this with partial fractions: S, da = f 1/(x+8) dx + [ 1/(x-8) dr = log(x+8...

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Q: 1 Σ 4 K(k + 2) k=1 eTextbook and Media

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Q: Use integration by parts to evaluate the integral: 5t2e-6t dt = %3D

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Q: Find f'(x). f(x) = e – x³ arctan(x) -(3 + 3x2 arctan(x) + arctan(x)(3x4)) x2 +1 f'(x)

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Q: Calculate the indefinite integral 6dy 25 –9y2 -

A: Given: ∫6dy25-9y2

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: If 0° < 0S 360°, find all the angle measures of 0 that makes sec 0 = -V2 and Ssc e = V2.

A: Given,           secθ=-2 and cscθ=2To find : The measures of all angle, θ.

Q: (e* + y)dx + ( 2+ x + ye )dy =0

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Q: , find the partial derivatives.

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Q: Consider the conservative vector field F(r, y, z) = (2x, z, y). a) Determine a potential f such that...

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Q: Find मिव x) e -e e* + eX

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Q: 19. State the limit definition of the derivative and use it to compute the following derivatives: d....

A: Find your answer below 

Q: y = V(4x + 3)³ %3D

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Q: Vx - 9 lim X→81 X – 81

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Q: Solve the given differential equation. x²y" – 6y = 0 y(x) =

A: Let x=ez ⇒z=ln(x)⇒dzdx=1xSo, dydx=dydz*dzdx=1xdydzSo, d2ydx2=ddx(dydx)=-1x2dydz+1x2d2ydz2

Q: Determine whether the alternating series converges. 5ln k E(- 1* k k=3 O The series diverges. O The ...

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Q: A graphing calculator is recommended Use a graph to find a number 8 such that 3 < 8, then cos?(x) - ...

A: Given that: cos2x-34&lt;0.15 We have to find δ such that, x-π6&lt;δ.  

Q: Directions: Use the definition of continulty to determine whether fis continuous at e. Identify the ...

A: given is a function.

Q: Find the equations of normal of the curve y = 2x-x-at (2, 0).

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Q: Let g be a differentiable function such that g (10) 2e and g' (x) 5e-V. What is the value of g (2) ?...

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Q: 1. Which of the following functions will have the same differential equation as y=10? а. у %3D 10х +...

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Q: у"-7у'%3D (2х-1) sin 2x

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Q: Let f(x)=x2−2xf(x)=x2−2x and g(x)=3−x2g(x)=3−x2.   (f+g)(7)=(f+g)(7)=  help (numbers)   (f−g)(7)=(f...

A: The functions are f(x)=x2-2x   &amp;    g(x)=3-x2

Q: Discuss the continuity of the function: (x2 + 2x - 4 xs-2 g(x) = } (6– x) x > -2

A: Given :g(x)=x2+2x-4x≤-2(6-x)xx&gt;-2

Q: Given the cost function, C(q) = q³ – 30q² + 7200q, Obtain the marginal cost function and determine t...

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Q: az Find 02/av and º2/ax of the following function: z = x³ev + y$ In(2x + y)

A: Given function, z=x3ey2+y5ln(2x+y)

Q: Suppose the velocity function of a particle is given by y = 2 - t- t² at any time t ( time is in sec...

A: We can find the total distance covered in the given time as below.

Q: ion 3 The exponential distribution is a probability distribution that describes the time needed for ...

A: Since you have asked a question with multiple parts in a single request, we would be answering only ...

Q: y=Va+ 2 -1 21 y = 0

A: This question is based on application of integration.

Q: (DE- 6D + 25)у %3D0 y =

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