1- 10 Consider the function defined by (x3 -3 f(x) = {? +1 if x< 2, if x> 2 Is it continuous at x = 2? Differentiable at x = 2? Verify your answer.

Q: estion 7 Find an equation of the plane containing the points A=(1,0,2), B = (-1,1,2), C= (5,0,3). Fo...

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Q: 1. x³ + y³ – 3axy = 0 2. x2 - 2xy + y? – 6x + 2y = 0 3. (x+y)2 2ay 4. x + yi = 9| 5. (x² – y?) = 4ay...

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Q: Directions: Evaluate the following limits uring table of values. lim to

A: Let L is the value of given Limit.

Q: Let a = ci + jand b = 4i + 3j. Find c so that the angle between a and b is- Round your answers to fo...

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Q: x' - x' – 3x – 2 dx x* - x' + 4x? - 4x

A: We will solve the integration using partial fraction. 

Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

A: Given that,

Q: A. Find the equations of the xy, xz, and yz traces of the function z = 4 – 5x2 – ly?. The xy-trace i...

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Q: Find the general solution of the differential equation. (x'' 1) y' osx ca-y) こ

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Q: sin" (=)fit exists. Find the value of P T12 + if it exists.

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Q: 2. S(2 – 3e*) dx

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Q: 2: Find 75, accurate to two decimal places, by using fixed-point iteration.

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Q: If fis a probability density function of a continuous random variable x over [a,b], then the median,...

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Q: 1 dx 1 (x+2)5/4 1

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Q: Q– Fin the surface area of the portion of the paraboloid z= 6-2x - y that is above the x-y plane (z-...

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Q: Let u = i +j and v = 5i - 3j. Input answer with NO SPACES. Find 3u - 2v:

A: Given that         u = i + j     and  v = 5i - 3j Here we have to find 3u - 2v .

Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form ...

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Q: lim[r(t) X u(t)] = lim r(t) X lim u(t)

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Q: Integrate the function. dx x2+ 8x + 32 A (2x + 8}In]x2+ 8x + 32|+ C B X+4 tan + C 4 sin + C (*+4) X+...

A: First simplify then use the formula of integration and get the final result 

Q: 3. Use the Comparison Test to determine if the series 5n — сos 2n n³ + n² + 1 n=1 Converges or diver...

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Q: 2. f f(x)= the cost (in dollars) of purchasing x candy bars, write a complete English sentence to ex...

A: If f is a function from A to B, for x belonging to A and y belonging to B if f(x)=y, x and y are rel...

Q: A boat with its load weighs 1,328 N. If the force exerted upon the boat by the motor in the directio...

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Q: 2. Use Integral Test to determine whether the series converges or diverges. { (n + 2) n=1

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Q: Evaluate by any applicable method. T/2 S cos sin y dy 60 120 60 None of the choices. Please refer to...

A: Topic = Integration

Q: Find the natural domain and graph the functions(answer all points) f(x) = 1 – 2x – x²

A: The domain of a function is the set of input or argument values for which the function is real and d...

Q: 424

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Q: Question 14 The domain of the following function (x.v) =In(x-r+1) is given by the equation:

A: The given function is: f(x,y)=ln(x-y+1)

Q: 11. In x)3 dx 4x

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Q: An engineer and his helper can do a certain job in 5 hrs. On a given day, they work together for 2 h...

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Q: By definition, if two lines L1 and L2 do not intersect, then L1 and L2 are parallel. If two planes i...

A: Given

Q: Question 13 Find the domain of the vector-valued function. 4. r(1) =i+V7-1j+ In(1-5)k 1-8 O 17,5) O ...

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Q: Write a polynomial f(x) that satisfies the given conditions. Degree 3 polynomial with integer coeffi...

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k + ...

A: To answer the given questions using the given details.

Q: Find the area of the triangle with vertices P(1,5, –2), Q(0,0,0) and R(3,4, 1). NOTE: Enter the exac...

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Q: Let f(x): and calculate V80-x+I f(x) dx by using integration by substitution. What was your substitu...

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Q: How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at...

A: NOTE: Refresh your page if you can't see any equations. . the vertex form of the parabola is given b...

Q: esinxy arc tanx, Ssolve for a' 12

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Q: Find the area between y = 1.1z + 5 and y = 2? – 4. The graphs intersect at z = - 2.5 and z = 3.6. 10...

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Q: Given f(æ, y) = a° + 3ry* – 2y%, find f-(x, y) : fy(x, y) = %3D

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Q: Q find the Pur Pose of the f =)ی £ f(x)= a 义く2 lim ×+2文+3X+ x²+1 9. メ→

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Q: Number 8 please

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Q: Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with ra...

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Q: Solve for the Derivatives of the following functions. Final answers should be in simplified form y= ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Are 2x – 4y = 3 and 2x + 4y = -3 parallel, perpendicular or neither?

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Q: n +1 n/n+ Vn |sin n| n=1

A: Using p test and comparison test. 

Q: A note card company has found that the marginal cost per card of producing x note cards is given ty ...

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Q: Use (direct) comparison test to determine whether the given series is convergent or divergent. n +1 ...

A: ∑n=1∞ n+1nn+nsin nan=n+1nn+nsin n &gt;0  for all n0≤|sin n|≤1Since the sine term in the denominator ...

Q: 4. S dx x In x

A: Given: 4). I=∫1xlnxdx   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ddxlnx=1x

Q: lim ("V52"-1

A: Given: limn→∞52n-12n   We know that the radical rule; amn=amn

Q: With x people on board, a South African airline makes a profit of (960−3x) rands per person for a sp...

A: Given problem:- With x people on board, a South African airline makes a profit of (960−3x) rands per...

Q: 1 Let an = n > 3. nvinn Use the Integral Test to determine if the series > an converges or diverges....

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