0 if x < V2 Let f : Q → R be defined by f(x) := 1 if x > V2. Prove or disprove that f is continuous.

Q: Suppose a function z=f(x,y) has critical points at (-1,2) and (0,3). Furthermore, suppose at each cr...

A: Let's find. 

Q: Sketch the graph of the level curve corresponding to z = 6 for the following function. z = f(x, y)=9...

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Q: How Find 32¢,32¥ ana E and d2f fer the functions: xre ahe |- Rex,y) = = tan (メャッ) 2- fCx,y) = xy + c...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: T/2 Evaluate using Wallis' Formula: sin? x cos5 x dx

A: Topic = Integration

Q: Find ſ z2 sin z dz

A: We can find the integral in the following steps

Q: If a0=1, a1=5, and ak+1=-3ak-1+4ak for all k≥1, use methods of linear algebra to determine the formu...

A: We have to find the formula for ak  and the limit as k approaches infinity for ak+1/ak.

Q: The domain of f(x) = V4 – x² is –

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: 2. Evaluate. th fallowing.integrals.a.fte..seueo.ing.the arder.af.integratren. dyd x Ans..In7)4 .0.t...

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Q: 4 | a sin(3y+ x²)dydx, 2 a) Sketch the domain of integration on an (x,y)-plane. b) Set up the integr...

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Q: Consider the power series rvn(5– 2x)" 2n + 1 Vn(5 – 2x)* n=1 a. Show that the series is conditionall...

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Q: arbitrary

A: We have to eliminate the arbitrary constants from the given  function

Q: Activity 1. Solve for what is asked. dy 1 1 1. Find :+= = 8 dx y 2. Find : x²y2 – 2xy = 8 dx 3. Find...

A: Differentiate with respect to x.  According to guidelines we solve only first three parts. 

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: we need to find the vectors that satisfy the given stated conditions.

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k² = 0 and ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: "iew Policies Current Attempt in Progress Find the vector component of v = 2i – j+ 3k along b = 6i +...

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Q: 出w-2 Verify that Wメy Wyx for the functionss T- f(xsy) = En (2X +34) fcxyy) = e+x Luy +y Lnx 2-

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Q: Evaluate S(cos“ x – sin“ x)dx

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Q: xcscx g(x) : 3-cscx

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Q: Find if y = arctan(e2*). dx dy 2e 2x dy e 2x dx 1+e 4x dx 1+e4x O Option 3 Option 4 dy dy 2e 2x V1-e...

A: Topic = Derivative

Q: the interval [a, b], where c; is any point in the ith s Interval [-3, 3]

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Q: The slope of the tangent line to the curve y 2x at the point 2, 16) is:

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: 9-4x²dx

A: Evaluate indefinite integral.

Q: How-2 Find Zxx if Z =frusv),u = xy,V=2xy Ex PresF とhe anfwer in termo ofXッリZu, Zv

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Q: dy Find if y = In x5 + e-cos2x – In e?. dx dy 4 sin x cos x dy 5 es sin²x-cos2 x dx e cos2 x-sin? x ...

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Q: 5. The amount of a certain drug in a persons blood t minutes after admin- istering the drug is given...

A: The amount of a certain drug in a person's blood t minutes after administering the drug is given by ...

Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: b) an = (-1)"/n (-1)" Vn c) an

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Q: Let ex + 9, x 2 d. x = 2 Find the values of c and d that make f(x) continuous at x-2. d= (If the va...

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Q: 2. Use the graph to answer the following. gof)(-2)

A: find find gof(-2)  from graph

Q: g (z) = Find the derivative of the function. u? – 5 g (x) = mp- u? + 5° 3r

A: We have to find the derivative of the function                                                      ...

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 Eu. (v x w)| to determine ...

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Q: 9y? = 4x3 from the origin to the point (4, %3D 144. Identify the length of the curve

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A: The unit vector in the direction of u is defined by: {\displaystyle \mathbf {\hat {u}} ={\frac {\ma...

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y2 = 4(x² – ...

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Q: 4. If g(t) = et +e-i' then g'(t) is which of the following? 2et + 4e2t (A) e2t + 2+ e=2t 2et + 4e2t ...

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Q: Evaluate the moment M, and My of the region bounded by x- 2y - y? and the y-axis.

A: Given area is bounded by x=2y-y2 and y-axis.  On the y-axis, x=0. We try to find the point of inters...

Q: Do not write beyond this border. 3. 2. 1. Do not write beyond this border. ecessiv 3. 3 3. NO CALCUL...

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Q: Find f'(x) if eſ(x) = 1 + x². f'(x) = 2x(1 + x2) f'(x) = 2x(e1+**) Option 1 Option 3 2x f'(x) = 1+x2...

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Q: Consider the points A(3,-3, 3), B(4, -5, 1), C(-2,-4, 1), and D(6,3,-5). (a) Find the volume of the ...

A: Given: A(3,-3,3) ,B(4,-5,1) ,C(-2,-4,1) and D(6,3,-5)

Q: Vx2 – 64 if x 8

A:    

Q: Find the area of the shaded region. NOTE: Enter the exact answer. x = y A = 6. 27 x = y? 6

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Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] 9x f(x) b (k # 0) ...

A: Given:- The function is, f(x)=9xk-b (k≠0) To compute: - Ther derivative of the given function f'(x) ...

Q: Find the area bounded by y = sin²(x) and y = sin5(x) from 0 < x<

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Q: Find the vector component of v = (4, - 1, 7) along b = (2, 3, -6) and the vector component of v orth...

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Q: H-wr Phavethat D2 22=o far the funstions far the kunction -2y t- Rx,y) = e Ln JxZ+yZ CooS 2X

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Q: S tan bxsec³bxdx

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Q: What is the slope of the tangent line to the graph of y = x3 – 4x + 2 at point (2, 2)? %3D А. 1 В. 4...

A: Given function, y=x3-4x+2Diferentiate w.r.t. xdydx=ddx(x3-4x+2)dydx=3x2-4dydx(x,y)=(2,2)=3(2)2-4dydx...

Q: 1. Determine if the series cos" () en? n=1 is absolutely convergent, conditionally convergent, or di...

A: Given series ∑n=1∞ cosn1nen2