Find ∫∫R x^2dA where R={(x,y)∣9x^2+4y^2≤36

Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

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Q: 5. Solve y"" - 6y" + 11y' - 6y = 0

A: The given differential equation is

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A: Given,

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Q: nn n=0 4"n! η!

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Q: x³ + 3x² = 1 3

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Q: Find ∫∫R  −3x+5y/(x+6y) dA where R is the parallelogram enclosed by the lines −3x+5y=0, −3x+5y=3,…

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Q: Evaluate the limit lim x →0 O -1 1 18 1 9 √81-x-9 X

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Q: The approximate rate of change in the number of design patent applications received in recent years…

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Q: The graph of a polynomial of degree 5 is shown. State the number of real zeros and the number of…

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Q: Simplify the following rational expression. State the domain restrictions: a) b) x³-8 2x3-8a 9-x²…

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Q: Combine the integrals L 19 if (6² 1 (3x3-4x²+6x-2) dx + 7 1 into one integral 2 (6x4–3x³ + 10x²+ 8x…

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Q: 6. A particle moving with the velocity function v(t) = t²-3t+2,0 ≤ t ≤ 4. Find (i) the net distance…

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Q: For what value of x the geometric series (x-4)" 9n is convergent?

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Q: By recognizing each series below as a Taylor series evaluated at a particular value of x, find the…

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Q: S 12x+8 3x²+4x+8 dx

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Q: If f is continuous and f(x) dx = 12, find So f(2x) dx.

A: Given that To find

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Q: Evaluate the following limits; lim_ x→0 (e^x + e^-x - 2)/(1 - cosx)

A: To find:-

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Q: The Taylor series for f(x) = x³ at-4 is cn(x + 4)". Find the first few coefficients. Co= C1 = C2 -…

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Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

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Q: For what value of a is the following function continuous at every x? f(x) = x²-30, x<10 x≥ 10 ax,…

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Q: Find the area bounded by x² = y-1 and x = y-3 using horizontal strip

A: To find the area bounded by  by using horizontal strip.

Q: These triangles are similar. solve for the indicated sides: X X +4 3 LO 5

A: Explaination of the answer is as follows

Q: List the first five terms of the sequence. a1 = 5, 2n + 1 2an +4 а1 а2 аз ад a5

A: To list the first five terms of the following sequence.

Q: 18. Find the value(s) of c that satisfy the equation f(b)-f(a) = f'(c) in the conclusion of the Mean…

A: GMean Value Theorem

Q: the following operations and simplify the results. State the domain restriction in +5x-14 2+8x+7 ÷…

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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Q: 15. A hot-air balloon is rising straight up at 5 ft/sec. An observation area is located 80 feet from…

A: Hsnsnsn

Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

A: The given complex number is