y Find the volume of the solid that lies under the surface z= y² + x² +1 and above the region D in the figure below. 2= (* (3-4) Use a double integral.) y = 6-x D y=x² X

Q: (6) The integrals represent the volume of a solid. Describe and sketch the solid. (a) √²¹2x³dx (b)…

A: Given: The volume of solida). b). Aim:To describe and sketch the solidThe formula used:The volume…

Q: x2 Find the surface area generated by rotating f(x) = 4 In (x) ; 4 < x < 6 around 2 y-axis. Draw a…

A:

Q: y=6-2x-x^2; y=x+6 The volume of the solid generated by revolving about x-axis is ___________ to the…

A:

Q: 13 Evaluate the integral: - IP- x2Vr? + 9 +C

A: ∫13x2x2+9dx Put, x=3tanθ⇒1=3sec2θ·dθdx⇒dx=3sec2θ·dθ

Q: Evaluate that the integrals; (x-3).dx 14x:24x+28 2.) SJ

A:

Q: V16-r Describe a solid whose volume equals EV 10 dy dx and -V16- evaluate this iterated integral…

A: Given The integration is

Q: A solid is constructed so that one side is the region between the lines 0, 1= b, the graph of y =…

A: The given data is:

Q: dx Vx -9

A:

Q: Evalule the Integra -3x dz -

A: We can evaluate the given integral by using the substitution u = 1- 4x2.

Q: бх and the x+1 In the figure below, R is the region bounded by the line x+y = 4, the curve y =-…

A: given functions are                                                  x+y=4y=6xx+1…

Q: 4. S 5 dx √-x²+10x-24 dx

A:

Q: 4х+2 Evaluate the integral -dx. (Hint: Use Algebra to help further rewrite your (x² +1)(x=1)…

A: First break by using partial fraction then integrate

Q: 3. (x²+x+4) dx

A:

Q: cosy -y sin(y +2)dzdxdy

A: Given integration can be simplified as

Q: Find the area of R

A:

Q: Figure out the generated volume of rotation the region surrounded by = 4x² and y=4x about X-axis.

A: find intersection point

Q: Find the area of the shaded region. f(x) = 20x-x²-x³, g(x) = 0 The area is SCHICH (Type an integer…

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Q: Vaz-y2 a dy xdx

A: Integration of the function helps to find the required value of the given expression. Integration…