What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about the y-axis. Use ring method and express the volume in integral form. (A) V = n "S" (y - y²) dy B) none of the choices 1 V = n x S₁ (√y - y²) dy 0 V = 2x [² ( x ³/2 - x³) 0 V = 2x [₁(x³ - x ³/²) d dx 0 E dx

Q: The LCM (y2-16, y2 +8y +16 (y-4) (y+4) G

A: Given: y2-16,y2+8y+16 Steps for finding LCM: Find all the prime factors of each given number.…

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: Which of the following is the formula for the length of the arc, L, of the curve y = f(x) such that…

A: The answer is given below:

Q: Find the integral for the area of the region bounded by y = 2x+4, y = 2-3x, and y = -x using a…

A: Using vertical strip form double integral then integrate

Q: e the following function and its graph to answer (a) through (d) below. 6-X, f(x)= 3x x4. Find lim…

A: The given function,fx=6-x,x<43x4+3,x>4

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A:

Q: Find the cross product a × b. a = (9, 0, -4), b = (0, 8, 0) Verify that it is orthogonal to both a…

A:

Q: dw For the given functions, (a) express as a function of t, both by using the chain rule and by…

A:

Q: ven A = - -4 1 -3 0 -5 2 and 1 B = -2 4 2 1 4 find 2B - 3A 3

A: Given query is to find the Indicated matrix.

Q: II. Solve the following problems. Enclose final answer. 8.A kite at an altitude of 200 ft. moves…

A:

Q: 16 The range of the function f (x)=6x-8 is all integers numbers. صواب O خطأ

A:

Q: Homework: MML 1.1 T Line Find the slope and the y-intercept of th y=6-2x Select the correct choice…

A: Given query is to find the slope and y intercept of the line.

Q: Verify the identity. (Simplify at each step.) 8 sin² x − 8 sinª x = 8 sin² x (1 – - 1 (8- - = 8…

A: Topic = Trigonometry As per guidelines , At a time only one question can be answered. Please repost…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A:

Q: The general solution of y" - y = x²ex + 5

A: To find the general solution of y''-y=x2ex+5.

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: Radius of the cone is(r) = 3 ft =36 inches Altitude of the cone is (h)= 4ft =48inches ( And let the…

Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy 5. 5…

A:

Q: ƒ(z) = (z³ + z − 4); [−1,2] x h(x) ; [0,2] x-3'

A: Mean Value Theorem:  f'(c) = (f(b)-f(a))/(b-a)

Q: Determine whether the following definite integrals converge or diverge and evaluate each convergent…

A:

Q: y = f(x) denote the function defined as x²+x-2, if x < 1; f(x) = 1 X, if 1 ≤ x < 2; √x – 1, if x ≥…

A:

Q: Lim X→2 2x³+2x²+2x+6 x³+4x+3

A:

Q: :- Find the volume of the solid between y = x+1 which obtained the curves y = (x-1)² and by rotation…

A:

Q: a²z 7.Find of z = 2x³-5xy² xy

A: Given double differentiation. First we find the partial derivative of z w.r.t y. Then we find the…

Q: 1. Lim X→2 2x³+2x²+2x+6 x3+4x+3

A: Apply limits to find the solution

Q: following relation { (a,b), (b,a), (c,b), (c,a) } is not a function.

A:

Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

A:

Q: dw For the given functions, (a) express as a function of t, both by using the chain rule and by…

A:

Q: f(z) = zz° +z-4); [-1,2]

A:

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A: Here we have I=∫01dxx

Q: A population of 800,000 microbes increases at the continuous rate of 4% per day. a. Carefully sketch…

A: Given: population of 800,000 microbes increases at the continuous rate of 4% per day. Find: sketch…

Q: Match the following rational functions with their graphs. Place the appropriate letter in the space…

A:

Q: Convert the complex number to rectangular form. 8( cos 1 +i sin 1-π) 6

A:

Q: 5 √₁ (2x² - 2. 2 (2x² – 3x) dx

A: We can solve the definite integration as below.

Q: et Lim x-0 +e³-x²-2 sin² x-x²

A:

Q: A. Determine whether each integral is improper. If it is improper, give your justification. dx 2.

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A:

Q: dy 9 Find the general solution of the differential equation: - dt t Use lower case c for constant in…

A: Here we have to find the general solution of the given differential equation,  dydt-9t·y=t5 Compare…

Q: Calculus Question

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Solid S is bounded by the surfaces z=x2+y2 and z=4-x2-y2

Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

A:

Q: Use the following function and its graph to answer (a) through (d) below. Let f(x)= 6-x, x3. a. Find…

A: We have to find out limit

Q: Describe the surface. x² + z² = 1 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

A:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line x+2y=2, and…

A: The area bounded by the line x+2y=2, and the x and y axis, revolving about x-axis

Q: lim x-0 1+x−1

A: Given problem:-

Q: The total cost (in dollars) of producing x food processors is C(x) = 2200+60x-0.1x². Find the…

A: here we have to use the concept of derivatives.

Q: Critiquing Reasoning 1 A = 20 8. Polly was given the following problem: Determine the order of…

A:

Q: Plot the point with the given polar coordinates. 11π 11) 12 T 3 57 6 H 77 6 47 3 2n 3 K|2 3πt 2 TU ✓…

A:

Q: 9 Find the slope of the tangent line to the curve at 0 = 37. Answers should be in exact form (i.e.,…

A:

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A:

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: answer is in next step.