4 | a sin(3y+ x²)dydx, 2 a) Sketch the domain of integration on an (x,y)-plane. b) Set up the integral with the order of integration reversed. DO NOT EVALUAT THE INTEGRAL!

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Q: Solve for the derivative of the following and simplify if possible. f(w) = tan w sec w

A: We can find the derivative as below using the product rule

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Q: Express the following numbers in scientific notation: а. 0.001121 b. 2,000,000,000 c. 756,000 d. 0.0...

A: a) 0.001121=1.121×10-3 b) 2000000000=2×109 c)756000=7.56×105

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A: Identify and sketch the surface of the following equations1. 4x2-3y2-2z2=02. 25x2-100y2+16z2=-400

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A: 44. Solution :2x+y=-4   .... 1-2y+4z=0 .... 23x-2z=-11   .... 3equation 2 1+24x+2y-2y+4z=-84x+4z=-8x...

Q: Find the length of the arc of the curve 9y? 4x3 from the origin to the point (3,2v3).

A: Here, the given curve is: 9y2=4x3⇒y2=4x39⇒y=23x32 Now, the length of the curve on [a,b] is given by:...

Q: Lesson 4.1b Certify Mode Questi x Order Derivatives: th x A learn.hawkeslearning.com/Portal/Lesson/l...

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

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Q: dx Evaluate J 2/4+x²

A:    ∫1x24+x2dxLet x=2 tan u.=∫secu4tan2udu=14·∫secutan2udu=14·∫cosusin2uduLet v=sin u.=14·∫1v2dv=14-1...

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A: This question is based on vectors.

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Q: 3 (х + у)dx dy 1 0.

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Q: x(x-2) dx (x-1)3

A: We can find the integration as below

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A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint ...(1)y=1-sintdydt=-c...

Q: Problem 2 Graph r = 1 + sin eby hand on polar graph paper. Make sure to show all work. %3D

A: Given:           r=1+sinθ Using the formula            r=a±bsinθ where a&gt;0,b&gt;0 and a=b

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Q: 4. What is (Cos (x²)} dv 5. What is (tan x³) dx 6. What is (In x)7 dx

A: To find out the derivative.

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Q: 出w-2 Verify that Wメy Wyx for the functions's T- f(xsy) = En (2X +34) fcxyy) = e+x Luy +y Lnx 2-

A: Since you have posted multiple question at a time as per guidelines we can solve only one question a...

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Q: dy If y = sin='(cos x) then dx ||

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A: Given query is to find the speed at which bottom of the ladder is sliding.

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Q: What is the lim f(x) where f(x) = {x" + 10x+24, if x -3 %3D X-3 A. 0 В. 3 С. 12 D. DNE

A: Given: fx=x2+10x+24, x≤-3-x, x&gt;-3   As we know that; The limit limx→afx exists when the left-hand...

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Q: Find S z? sin z dz

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Q: first prove that ()" <n! < ()" forn2 6.

A: We will prove                        n3n≤n!≤n3n for n≥6.

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A: Area of triangle is half of cross product of adjecent side of traingle.

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x? + ...

A: Given equations are:  x2+y2-2ax=0x+y=2a   The bounded region is rotating about the line x=0.

Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

A: This question is based on summation problem.

Q: Find S y? sin y dy

A: Please see the answer below.

Q: x dx e

A: This question is based on integration by parts.