6. Find a set of parametric equations for the line tangent to the space curve at the given point. 2 sin (t) r(t)=(t, 3cos (t), point: (2,3,0)

Q: Determine the domain of f(x, y) = / x² + y² – . -

A: This question is based on finding domain of function.

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A:

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Q: 3. (2D3 - D² + 1)(In cos x - 2 tan x)

A:

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A: Given:   Alternating series is given

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A: We can find the exponential form of the algebraic expression as below.

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A: As per the instruction, we will be answering the first one. For (1),         D2+Dy=sin x The charact...

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A: Given: The ideal gas lawPV = nRTP : pressure                           variableV : Volume           ...

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A: The given series is: ∑n=0∞ nxnn+10

Q: а. b. y g(x) g(x) 6 4.

A: Graph of the function g(x) is given, we have to find the limit at x=1

Q: 4. Given that ai = 3, > ak = 1 1 and ) bk = 5, it follows that k=1 k=1 Σ Eak and > 2ak + bk k=2 k=1 ...

A:

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,        ∫1∞dxx+13

Q: For the following functions. Please show all evidence. (a) Identify all local extrema, (max or min.)...

A:

Q: This answer is not correct

A: Given that: limt→09t1+t-9t

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A: Given query is to find the equation of the tangent line at 1 and graph the function with tangent and...

Q: The graph of f (x) is given by Determine the following limits. Write your answer in the form lim f(x...

A: Topic = Limits

Q: Rewrite the integral in the 5 other orders. Explain your answers. 2 4-y2 f(x, y, z) dz dy dx

A: The given integral is ∫x=0x=1∫y=2xy=2∫z=0z=4-y2fx,y,z dzdydx. The domain of integral is R=x,y,z: 0≤x...

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A: According to our policies we are allowed to answer only one question at a time. If you want solution...

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A: Given that: ∫dx(x2-1)3/2

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A:

Q: answer

A: Please refer to the image below

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A:

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Topic = Integration

Q: 4. y=ysin 2xcos 5x + 3

A: Find your answer below 

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A: Let's find. 

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A:

Q: Use the substitution method to find the power series representation of the function using the formul...

A:

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Q: 15 What is the exact value of tan (sinr) where r 17 Provide your answer below:

A: Solving the problem by finding the value of the function.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (-3)"...

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Q: Find the derivative. y=cos(ln 4x^6)

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Q: Ise substitution to find the Taylor series at x = 0 of the function 21 sin (- x). Vhat is the genera...

A: Topic:-  calculus

Q: Given the function: f(x,y, z) = x°y2² + æy° +y°z Find а. fazy: (x, y, z) b. fazyz(1, –1, 1) -

A: Given the function :  f(x,y,z) = x3y5z7 + xy2 + y3z

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A:

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A: Given that: y=x2

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Q: (x – 2)(x + 2)(x +1) (x+ 3)(x+1)

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Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of ...

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Q: Solve the Bernoulli Equation xyy' + y² = 2x

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Q: 1. Determine the slope of the tangent line to the function f(x) = 2                                 ...

A:

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A: The graph of y=√x shifted 4 units to the right

Q: dentify the level curves of f(x, y, z) = x² + y² + z²

A: Given question:- Identify the level curves of f(x,y,z) = x2+y2+z2

Q: Solve eX =9 for x. ... The solution is x (Type an integer or decimal rounded to four decimal places ...

A: Consider  ex=9

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A: Topic:- calculus

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Q: If f(x) = 2 tan '(5 sin(3r)), f'(x)-

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Q: 6) lim Vx 0+ f (x) f (x) -0.5 0.5 -0.1 0.1 -0.01 0.01 -0.001 0.001 -0.0001 0.0001

A: 6)limx→0x

Q: 3) Use the method of cylindrical shells to find the volume generated by rotating the region bounded ...

A: This question is based on cylindrical shell method integration.

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A: Series