Find the limit. NOTE: Enter the answer using round brackets. t² +1 1 lim t +∞ (?, ?) 6t² + 7' 3t ||

Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

A: Find your answer below

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Q: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

A: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

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Q: Find the exact length. T=0², 0≤0 ≤ 2π ° 4[G²+1²] ²3 [(x² + 1)² - 1] [(²+1)-1] ° 4[68² +1²]

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Q: 15. Sketch y = f(x). Properties are: Max at P(2, 2) Mins at Q(4, -1), R(-1,2). Oblique asymptote y =…

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Q: 4. sinx 1-sin² x dx

A: integration

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A: Solution is given below:

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A: Given data÷

Q: Applying the ratio test to the series ∞ 5k-1 k=1 (k+ 1)².4k ³ you would compute ak+1 lim = ak Hence…

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Q: Consider the series (4x)n n n=1 Find the interval of convergence of this power series by first using…

A: Given problem:-

Q: [2,

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Q: по + y³ =1, Dzy 2. = .:3 _ x+2y x-2y 3. : . + Злаb2, у" У X sla .

A: We can solve this as follows:

Q: Solve xy = 8y - 3x, y(1) = −1. (a) Identify the integrating factor, a(x). a(x) = (b) Find the…

A: xy'=8y-3x

Q: 2. Find the area between the curve y=-x and y+x²= 2x.

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A: As per our guidelines we can answer only 3 subparts of the given equation. Kindly repost the…

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A: Let's find.

Q: - (lim 11100 ce 1500 = 0)

A: Given limit function :-  f(n) =1500/2n   To check given function is continuous or not

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A: answer is in next step

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A: answer is in next step

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A: To solve the given trigonometric equation.

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Q: Watch help video Answer all of the questions below about the function f(x) graphed below when x =…

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Q: Find . DO NOT SIMPLIFY YOUR ANSWERS. 1. log₂ √√2x² 2x² + y) + tan(x² − π²) = sin¯`¹²(x² − 1) + ½ /

A: To find dydx.log32x23+y+tanxπ-πy=sin-1x2-1+π2

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Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + = t³k (a) r'(t) (b) r"(t)…

A: Let's find.

Q: an+1 Assume that converges to 'p = 3. What can you say about the convergence of the given series? an…

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Q: Let f(x)=x2+2x-1 and g(x)=2x-4. Find 3f(x)-2g(x)

A: Given fx=x2+2x-1 & gx=2x-4 To find 3f(x)-2g(x):

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A: Use substitution method to solve the integral.

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A: Given x=4sint-sin4ty=4cost-cos4t0≤t≤2π

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Q: Find the limit. Use l'Hospital's Rule wher lim [In(x⁹ – 1) – In(x³ – 1)] - - *-1*

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A: we have to find the equation of plane.  Let, a,b c are the direction ratios of required plane 1.

Q: 3 find the values of az/ax and az/ay xe³+ ye² + 2 lnx-2-3 In 2 = 0, (1, In 2, In 3)

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Q: 8 sin 8. Then sketch the curve.

A: The correct curve of r = 8 -8sin(θ) is  Option (C)

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Q: Consider the function f(x) = S3x³ eºdt. a) Apply Part 1 of the Fundamental Theorem of Calculus to…

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Q: Differentiate using delta method y=6x2-24

A: