Find the area of region A in Figure 6. G FIGURE 6 F:r = 16 cos 0, Tg = 1, F 2rx G:r = 1 rf = 8

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Q: The curve represented by the equation  r = aeb?,  where a and b are constants, is called a…

A: r=e?/6 ; -2≤ ? ≤ 2let ? be xhere x is dummy variable.so,r=ex6; -2≤x≤2

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Q: A.)Derive the formula V × (F × G) = (VG)F – (V.F)G – (F · V)G + (G.V)F. KDO Opet sap gom!!!

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Q: 3 Find the mass of a wire that lies along the curve r(t) = (t² −5)j + 2tk, 0≤t≤ 2, if the density is…

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Q: x² -2e x³-6ex+1 -dx

A: Given integral, ∫x2-2ex3-6ex+1dx

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Q: Approximate the area under the curve graphed below from x=2 to x = 5 using a Left Endpoint…

A: To approximate the area under the curve graphed below from x=2 to x=5 using a Left Endpoint…

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A: (I) The given series is      sin(1)-sin(2)4 + sin(3)9 - sin(4)16 + sin(5)25 - sin(6)36 +...+bn +...…

Q: Use implicit differentiation to find az/ax and az/ay. x² + 4y² + 3z² = 5 ala ala дz ?х ду || ||

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Q: Consider the followin gdifferential equation: y + 2 t+1 dy dt Find the general solutions and the…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 3. Express the A. the integral D. •√4-x² px²+y²+1 [²√√**²*² 0 ²+1 ² ² ²*¹ x 2²³ rdz dr de 0 π/2 2 B.…

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Q: V= V= [₁² f(x) dx 3

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A: equation of the sphere x2+y2+z2=x

Q: Problem 4: A curve C in the ryz-plane is parameterized by r(t) = (4 cos(t), 5 sin(t), −3 cos(t)). A.…

A: r(t) = 4cos(t), 5sin(t), -3cos(t)Now we find t corresponding to the point (-4,0,3)So cos(t) =-1 and…

Q: S(x+5)-1/2³/z+5

A: we have given ∫x+5-12ex+52dx

Q: Let 7 (t) = Find a parametric equation of the line tangent to r(t) at the point (157, 16,- 4.159)…

A: A line parallel to a vector v <a,b,c> that passes through the point (x1 ,y1, z1) is given as…