Sketch the graph of the level curve corresponding to z = 6 for the following function. z = f(x, y)=9x² +16y² –138

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

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Q: II. Evaluate the following limits. 1. lim sin x X→- 2

A: To find out the limit. 

Q: Definitions/Examples a. A = {0, 0, =,A), B = {a, 0./. = } b. Every element in set A is also an eleme...

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Q: Find unit vectors that satisfy the stated conditions.

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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 th...

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Q: y x, y+ 2x = 8. Identify the volume generated by revolving amd y = 0, rotated about the y-axis.

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Q: Consider the parallelepiped with adjacent edges u = 5i + 5j + k v = i+j+ 8k w = i+ 5j + 7k Find the ...

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

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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 ...

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Q: Find the length of the arc of the curve 9y? = 4x3 from the origin to the point ( 4,).

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Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x² – ...

A: Given: y2=9x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to...

Q: Find the volume generated by revolving bout the line x = 3 the area bounded by (y – 2)° = -4(x – 4) ...

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Q: Differentiate implicitly to find 3xy +4y°z-2x = 3

A: Given query is to find the derivative.

Q: Evaluate S(cos“ x – sin“ x)dx

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Q: Evaluate fx Vx + 10 dx

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Q: 2 cos 0 d0 V1 – sin 0

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Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1 -...

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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: х? + ах — 2bx — 2ab — х3 —2ax* — 2bx? dx х4 + ах3 — 2bx3 — 2abx? |

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Q: (:)? /3 9. Which of the following is equal to (b) (–1)"-12·5., 3"n! 3.5-7..... (2n + 1) (Зп — 4) ......

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Q: 12. Given f(x) - -5Vx + 2 and g(x) = vx+ 6, what are the restrictions on the domain for th 12. Given...

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Q: 的+十」 (8-9) = TT

A: To evaluate the given integral.

Q: Hew-2 Verify that Wxy Wyx fer the functions's T- R(Xsy) = Lu (2X +34) f cxッy) é^+x Luy +y Lnx 2-

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Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

Q: 9-4x²dx

A: Evaluate indefinite integral.

Q: x²dx Evaluate | x²Vx2-4

A: We can evaluate the answer as below.

Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: Find the directional derivative of the given function at the point P in the direction of vector u . ...

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

A: Solution is here

Q: Find the antiderivative, G(t), of the function g(t) = (3n?t? – t4)V3n² – t².

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Q: Is the series divergent, absolutely convergent, or conditionally convergent

A: This is a problem related to series and sum calculation. Based on the general formula we will determ...

Q: Find the vector -4u+2w given the vectors u = -8j and w =-6i+5j. Write your answer in the form ai+bj....

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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: Find the area bounded by y = sin²(x) and y = sin³(x) from 0 < x<. %3D

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Q: (Q.2) Describe how to use the weighted residual method (2-term polynomial approximation) and write d...

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Q: Znt 2

A: For the series with an=(-1)n+1 bn  or an=(-1)n bnbn ≥0 for all k.Then if,1. limn→∞ bn =0 and,2.{bn} ...

Q: Exercise: Do as indicated if x 4. x. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞,0)? 3 ...

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Q: | InlvE + 1| dx

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Q: Evalunte the Indefinite Integral by Integration by part |(x- 3)e" dx

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Q: xydx – (x² + 2y²)dy = 0 ||

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: cosx f(x) = 1+sinx

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Q: /9-4х2 dx

A: We know, (i) ∫dxx2-a2=12alogx-ax+a+C, C is a constant.

Q: 2 cos 0 d 1 - sin A

A: We can find the integration as below.

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: 13 8 cos 37 + i sin 8 |10 + i sin 16 Cos 16

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Q: S tan bxsec³bxdx

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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...

A: This is a problem related to vector. Based on the general formula vector we will solve the question.

Q: -In 2 e* dx 3 (e2x + 8e*+ 7)2

A:      ∫0ln2exe2x+8ex+732dxLet u=ex.=∫121u2+8u+732du=∫121u+42-932duLet v=u+4.=∫561v2-932dv=∫\arcsec53π...