Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs of the equations. z = Vx2 + y2 z = 0 x2 + y2 = 25 V= dr de =

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Q: SOLVE the following DIFFERENTIAL EQUATIONS using appropriate method.FULL SOLUTION x^3sec^2ydy –…

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Q: Question Evaluate the following limit using L'Hospital's rule. 10 lim 5* ( 3x2 24x +45 3x - 15…

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Q: rotational. essible.

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A: I am going to solve the given problem by using some simple calculus to get the required result of…

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A: s(t)=-0.6 t2 +48 tvelocity is obtained by differentiating position functionv(t)=s'(t)=-1.2…

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Q: Let f be a continuous function. Show that 2022 f(1/a) dx f(x) dz. %3D 1/2022

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Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: Let Age of Rojana is x , and age of AJ is y. Given, Rojana is 8 year older than AJ. Therefore, x=y+8…

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Q: Given the function glx) = -, find the x-value that satisfies the Mean Value Theorem on the interval…

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Q: (a) Find the area of the region bounded below by the curve y = r² and above by the line y = 4 (b)…

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Q: x – 2 - Let g(x) x +3 (a) Find the third degree Maclaurin polynomial of g. (b) Approximate g(0.2)…

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Q: 7. x Arcsec (2x) dx (4x² – 1)7

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Q: 1. In the differential equation (x+2y-1)dx+(2x+4y-3\dy=0, we let the substitution %3= 2. In the…

A: 1) Here, the differential equation is: (x+2y-1)dx+(2x+4y-3)dy=0⇒dydx=-x+2y-12(x+2y)-3

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Q: 5. In antidifferentiation, the formula § x" dx + Cis valid if? %3D (n+1) А. nER В. п# 1,п€ R С. п€…

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Q: 2y" – 3y +y –0 4y" – 9y – 0

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Q: Find the devivatives of the following equation b Y= ln (x,4)-x fori CH/2)

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Q: Write each symbolic statement as an English sentence. p: Taylor Swift is a singer. q: Taylor Swift…

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Q: Let (2+2 ifz> 2 f(z) = { if-2<r<2 3-z ifz<-2 Which of the following is the graph of f? O None among…

A: Graph of given questions is given.

Q: Evaluate the definite integral. el" i+ej+t k)dt O el7 i - e- j+ 17 k O el7 1 i- (e-- – 1) j + , k…

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Q: x <0 2r3 + 3r2 – 12x, x 0 10xe", f(r) = a. Find all the critical numbers of f. b. Find the extreme…

A: a)  For x&lt;0    Consider f'(x)=0  ⇒10(ex+xex)=0  ⇒10ex(1+x)=0  ⇒1+x=0  ⇒x=-1For x≥0Consider…

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A: The formula for the curvature is κ(t) = r't×r''tr't3

Q: 2. (x+2y-1)dx+(2x+4y–3)dy=0; when x = 2 and y = -1 %3D

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Q: Solve the differential equation dy xy y(0) = -3. dx V1+ x? There is no need to isolate y.

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Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: We will find the possible age of Rojana and AJ in the following step.