≤ Lºin( Verify that f(x) = sin() is an odd function and use that fact to show that 0 < sin(√√x) dx ≤ 1

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Q: (a) Evaluate the following integrals: y=+2 x=+1 (i) [ (x+y²x² + y)dxdy y=1 x=0 4-2n 0=x/2r=2 (ii) -0…

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Q: Find an equation of the set of all points equidistant from the points A(-2, 5, 2) and B(4, 3, -2).…

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ ≤ 1, ² Sysz Jed da

A: Follow the procedure given below.

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A: Let's solve given diffrential equation.

Q: (f) The function f(x) = √√x is differentiable at x = 0. ○ True O False

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Sketch the region of integration and change the order of integration. 4 [^ [V² F(x, y) dy dx 0 f(x,…

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Q: Evaluate the following a) lim t-16 <VE-4, 1E+161, CON (16-E)) 16-t

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Q: a. Find the Taylor polynomial of 6th order at a=- 2 b. Find error at x = π. X c. Graph the original…

A: To solve the following problem

Q: 7) The solution of 5-2x = 3, is: a) In b)logs (3) d) logs (3)

A: As you mentioned question no 7 solved

Q: Consider the following: (5/2,1), (-9/2, 8/3) Find the distance between these points.

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Q: 9-34 Evaluate the integral, if it exists. tb (1)nia 9. ² (8x³ + 3x²) dx 11. f' (1-x) dx 13. f³√x (x…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first part.

Q: - Find the mass of a lamina bounded by y = 5√7, z = 1, and y o(z,y) = x+2 0 with the density…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = ex, n=5

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Q: 2. Determine the centroid of the area bounded by the curves y = 4x + 16, x = -2x = 5 and x-axis.

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Q: Evaluate SA(u) du if A(u) a) 6i+8k b) -6i+8k c) 61-8k (3u²-1)i + (2u-3)j + (6u²-4u)k. d)-61-8k

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Q: The yearly demand function for Penn State Bakery cookie trays is given by x² + 5p2 + 7x + 10p = 290…

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Q: 3. Find the solution of the following systems of differential equations: (Nonhomogeneous) Use…

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Q: Find [₁₂² r²dA where R = {(x, y) | 36x² +9y² ≤ 324} R 81T X

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Q: solve the following equation using Laplace transformation y' + y = sin(t) y(0) = 1

A: Given :y'+y=sin(t)y(0)=1

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A: Bn

Q: Find the average rate of change of the function over the given interval. f(t) = 4t² - 3, [3, 3.1]…

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Q: Calculate the double integral. JS y dA, 4xye+²y R R= [0, 1] × [0, 8]

A: Given; ∫∫R4xyex2ydA, R=0,1×0,8   As we know the common integral. ∫eax+bdx=1aeax+b+C  And ∬dA=∬dxdy…

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A: We have to find the Maclaurin's series for f(x)=e2x

Q: Find the area of the region enclosed by the circle r = 16 sin θ.

A: A detailed solution is given below.

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Q: Given cost and price (demand) functions C(q) = 110q+44,000 and p(q) = -1.8q +850, what is the…

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Q: 13 X ƒ(x) = [5,-3],ƒ(c) = -1/ x²-4,

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0≤x≤ 1, ² ≤ y ≤I JA dA

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Q: A ball is thrown  vertically upward from a platform that is 60 feet high with an initial velocity of…

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Q: Evaluate the given indefinite integral. 7 c 7 cos √6x dx= [ (Type an exact answer. Type an…

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Q: Question 1 (a) Identify a suitable method to solve the following first-order differential equation.…

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Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

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Q: | a 0.24) tan(sin-1x) = b) c) =x d) 1 - x2 3

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Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

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