Find the volume generated by rotating the region bounded by the curves about the specified axis. Use the method of cylindrical shells. y=4x – x^2, y=3; about x=-3.

Q: Variable Separable (8) dx dy e 3x+2y; Provide the explicit solution (9) secx dy = sec 2ydx

A:

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; Relation: f(n+1) = 5 - [f(...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: . Use the appropriate limit laws and theorems to determine the limit of the sequence. an=(3+8/n^4)^1...

A: We will evaluate all above as shown below

Q: A pyramid of height 500 ft has a square base 800 ft by 800 ft. Find the area ? at height ℎ....

A:

Q: Consider the triangle formed by joining the points (0, 0), (A, B) and (C, 0) as depicted below. (A, ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: 3. (а) х-ахis (b) y-axis y-4-

A:

Q: For the following exercises, find the volume generated when the region between the curves is rotated...

A:

Q: 3. )dx \1+x

A: As per our guidelines we are supposed to answer only one question i.e. the question no (3). For the ...

Q: Find the smallest value of k e N for which the area under the graph of f(x) = x* + x between x = 0 a...

A:

Q: Solve in detailed solution A. Í (4x³+x) v4x²+1dx B. (x+2) Vx+3dx

A: Let I=∫(4x3+x)4x2+1dxI=∫x(4x2+1)4x2+1dxI=∫x(4x2+1)(4x2+1)1/2dx I=∫x(4x2+1)32dx Put (4x2+1)=udifferen...

Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

A: Given that: f(x)=ax+bcx+d

Q: The average change of a function f over an interval [¤1, x2] is f(x2)-f(x1) First find the average r...

A: We can find the instantaneous rate of change as below

Q: Find a parametrization of the circle of radius 8 in the xy-plane, centered at (1,−4), oriented count...

A:

Q: What is the center of the circle with the equation: x² – 10x + y²=- 9? Blank 1 Blank 1 Add your answ...

A:

Q: Find the derivative of a function f(x)=(x^2+1)^3 (2x−1)^4 f ' (1) = ____

A:

Q: Integral Calculus Solve in detailed solution. A. Í (4x°+x) v4x²+1dx B. Í(x+2) Vx+3dx

A: (A). The given integral is: I=∫4x3+x4x2+1 dx

Q: For the surface x? + y? = 2z? a) Find an equation in cylindrical coordinates b) Find an equation in ...

A:

Q: (ө-4)d@ (в+5)* 2.

A: SOLUTION-

Q: Homogeneous Differential Equations (13) (4x* + x³y + y*)dx + x*dy = 0

A: We are asked to solve the homogenous differential equation   

Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

A:

Q: Draw a sketch of the plane of 4x – 4y + 2z – 9 = 0. -

A:

Q: Determine whether the following is always true or not always true. Given reasons for your answers. J...

A: let Vector  u=u1,u2,u3  v=v1,v2,v3  w=w1,w2,w3 

Q: t f(x) = 2x - 3 and g(x) = x + 5. %3D a. 2. g(x) = 2( x + 5) = 2x + %3D b. 5 g(x) = 5(_) = 5x +, %3D...

A: Given f(x) = 2x-3 and g(x) = x+5                a)     2.g(x)=2(x+5)                    = 2x+10 b)  ...

Q: The contours of f are a sheet faling off to zero not defined parabolas lines

A: Here is the image of the graph in the 3d. Blue is z axis.

Q: 1 The function is equivalent to the series: 1-2t Select the correct response: 3 5 -1 -t--t2 2 t3 + ....

A:

Q: Compute the indicated derivative. U(t) = 5.9t2 + 5.9; U'(4)

A:

Q: Question Evaluate the following limit using L'Hospital's rule. 1 3 lim z-0 1lez – 11 33x Provide an ...

A:

Q: 2. Complete the following tables of values f(x) -1 -0.8 -0.35 -0.1 -0.09 -0.0003 -0.000001

A:

Q: Which of the following is not in the domain of tan(x)? Select all correct answers.

A:

Q: Find the limit, if it exists: (Do not use L'Hospital's rule) (V42 lim 4x2 4а* + 16х V + 20 Note: Giv...

A:

Q: C. Assessment/Application/Outputs (Please refer to DepEd Order No. 31, s. 2020) Direction: Solve the...

A:

Q: For the given position vectors r(t), compute the (tangent) velocity vector r′(t) for the given value...

A: Part A,             rt=cos5t,sin5tTo find : r'π4  

Q: If the solution of y' = 2(2x - y) passes through the point (0,1), determine x when y = 7.

A:

Q: mber of these fish reached 90 thousand in the year whole number.)

A: Given: The number of a particular fish in thousand x years after 1974 can be modeled by f(x) = 223(0...

Q: Compute the directional derivative in the direction of v at the given point. f(x. y) = xy - x, v=i-j...

A:

Q: Use differentials to approximate the change in cost corresponding to an increase in sales (or produc...

A: Solution ) c = 0.075x2 + 6x + 2  with dx = 1  differentiate with respect to x  dc/dx = 0.075 × 2 x +...

Q: 4

A:

Q: Question 10 1+ cost = | cor*rdt cot'rdt I- rost

A: integration

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = tan ...

A:

Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

A:

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light, 2...

A:

Q: What is the equation of the directrix of the parabola x2 + 2x+4y– 27=0? A y=8 B y=0 (© y= -2 D y=6

A: Solution ) x2 + 2x + 4y - 27 = 0 Add 1 and subtract 1 in equation  x2 + 2x +1  - 1  + 4y - 27 = 0 (x...

Q: Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

A:

Q: (Hint, the parentheses, are where you are renaming in terms of sin or cos, or when you are getting a...

A: Topic = Trigonometry

Q: dP 16. dt 11-18 Find the solution of the differential equation that satisfies |Pt, P(1) = 2 7.3: 16 ...

A:

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

A:

Q: Obtain the Taylor series expansion of the function f(x) = cot x centered at a 4

A:

Q: 2-28 Determine whether the series is absolutely convergent. conditionally convergent, or divergent. ...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  here the sequence...

Q: Q2: z = cos3xsin4y+2x²y az az azz a²z a2z Find : дх' ду' дх ду 'дхду

A: Given  z=cos3x sin4y+2x2y Differentiating partially with respect to x and y , we get ∂z∂x=(-3sin 3x)...

Q: solve the second order differential equation ; y''+4y'+5y=8xsinx

A: