Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the graph of f (x): the interval 0, 4. 3/x about the y-axis on Noto: Maintoin freetion

Q: e^x(y'-y)=2xy^2 bernoulli differential equation

A:

Q: Consider the following problem: A box with an open top is to be constructed from a square piece of…

A:

Q: earning Task 1: Determine the derivative of the following. x*y + 2y3 = 3x + 2y %3D

A:

Q: 2. Vy-2+1 dy

A: ∫vn dv = vn+1n+1+C

Q: Find the dimensions of a rectangle with a perimeter of 140 feet that has the maximum area. The side…

A:

Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

A:

Q: 6x4-5x3 +4x2 - 3x + 27 dx. Find 2x2

A:

Q: 3x-4 1. Y= Arctan 4

A:

Q: 6. (6x – 3y + 2) dx - ( 2x - y– 1) dy = 0 ans. 3x - y + C = 5 In | 2x - y + 4|

A:

Q: f(x) = / sinx cos x

A: The objective is to flnd the derivative and slmpify.

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After 60 minutes,…

A:

Q: 1と 8t y=x?+4 ソニx? ー4 4

A: The region is bounded by the curves y=x2+4 and y=x2 from x=-4 to x=4revolved about x-axis

Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 +2. %3D Answer:

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 30

A: Here, just to find the angle between F1 & F2.

Q: V3 - 2s ds 02 40

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Choose the correct speed and direction of a plane with a velocity of (-5,12) . 13,293° 17,113°…

A: Find your answer below

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A:

Q: 2. The function g(x) is defined for -3 sx< 3. The behaviour of g'(x) and g"(x) is given below. -3…

A: The function gx is defined for -3≤x≤3, The behaviour of g'x and g''x is given below. By using the…

Q: Find the derivatives of f(x)=(ax4+b)6   and   f(x)=axe-bx+15 Assume that a and b are constants.

A: Given query is to find the derivative of the expression.

Q: If C is the line segment from (1, 5) to, (0,0), find the value of the line integral: So(4y? i + 4x…

A:

Q: Learning Task 1: For the given functions f(x) and g(x), find ( ° g)(x) 1. f(x) = x² and g(x) = x + 5…

A:

Q: A stellar object is emitting radiation at 1820 nm. A detector is capturing 7 x 10' photons per…

A: Please refer to the image below

Q: Find all the complex fourth roots in rectangular form of w = 100 cos 57 - + i sin Zo (Type your…

A:

Q: Answer

A: As per policy, only first question is answered.  Please refer to the image below

Q: 9. The region bounded by the given curves is rotated about the specified axis. Sketch the region and…

A:

Q: Suppose the position of a particle is given by parametric equations x(t) = t³-2 and y(t) = 5t2. %3D…

A:

Q: x * - 2 and g (x) = 10. Given f (x) = x - 1X = 1. Find 2x + 1 a) the domain of f (x) and the range…

A:

Q: (c) You are advised that the relationship between unit price p, and the quantity q is given by the…

A:

Q: Suppose that enrolment in CLSU has been increasing over the years since year 2013 according to the…

A: Given query is to find the enroy in 2022.

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y= fix) 6.…

A:

Q: Given: -8 17 cote = %3D

A:

Q: x²+1, xs1 f (x) dx if f (x) = 2, raluate x> 1 A) 10 20 B 3 12 8 D 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 7x - 5. Consider the function f(x) = 7x0 + 8x Enter the antiderivative of f(r) + C

A: Given the function  f(x) = 7x10 + 8x7 - 7x2 - 5. We have to find the antiderivative of f(x).

Q: Suppose the position of a particle is given by parametric equations x(t) = 2t2-1 and y(t) = 3t3. (a)…

A:

Q: Find the equation of the tangent to the function f(x) = -4 sin’x at the point where x = (use EXACT…

A:

Q: Write out the MacLaurin polynomial of degree 12 of the function h(x) = cos(x2). (b) Use you answer…

A: Given

Q: 23. Exterior angles on the same side of the transversal form a lincar pair. 24. Vertical angles are…

A: 23. True True  here G+D=180  and A+F=180  24. False   vertical angles are just equal to each other ,…

Q: 4. (a) Show that the line l given by l: 1= 2+3t, y=1+4t, z= 5+ 2t, te R, lies in the plane II given…

A: Given problem:- Show that the line  given by   l : x = 2 + 3t , y = 1 + 4t , z=5+2t ,t in R   lies…

Q: ) = sin x + cos(1+x²) – 1 ng secant method with initial guesses x, = 1.5 x1 = 2.5 each item to a…

A: To solve the problem using secant method

Q: Use the following information to answer the next three questions. A model of a house was built using…

A: 2.5cm corresponds to 1m.

Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

A:

Q: 8 Consider the function f(x) - 7. Let F(a) be the antiderivative of f(x) with F(1) = 0. Then F(r)

A: Find the integration and the put x= 1

Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x) - cos (2x) 2. y =…

A:

Q: The base of a three-dimensional figure is bound by the x-axis and the line y = -2x +3 on the…

A:

Q: 2. y = loga(x³ + 2x – 2) 3. y = In³(x + sin x) %3D

A:

Q: |* (1-x)° dx The solution of the betta function is:- -1 45045

A:

Q: 1. Find the radius of convergence and interval of convergence of the series. (a) (-1)"(n+1)"a²" n=1

A:

Q: V25x² -69 – dx

A: We will find the integral as following.

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A:

Q: How does (2cos(theta))2 + (-2sin(theta))2 equal 4?

A: 2cosθ2+-2sinθ2=4cos2θ+4sin2θNext step:-