Find the dimensions of the right circular cone of minimum volume V that can be circumscribed about a sphere of radius 8 inches.

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: Here we have to find the volume.

Q: Calculate the area enclosed by the f(x) = x3 – 6x² + 8x and the x-axis. curve

A:

Q: 5. show that the equaution sin X-3x+1=0 has only one real root

A:

Q: Determine the limit of the sequence or state that the sequence diverges. n an = Vn3 + 2 (Use…

A: Given: an=nn3+2 To find:  limn→∞ an limn→∞an=limn→∞nn3+2 Given limit is of ∞∞ form

Q: S 289 xe

A:

Q: Find the area enclosed by the given curves. Find the area between the curves y = In x and y = In 3x…

A: Solution:

Q: Kuya Bill is selling 'Bill phones'. If the cost for selling r phones is given by 10000 C(r) = 120x +…

A: Given, Cost function, C(x) = 120x + 10000/x - 2000 Price Dand function, p(x) = 1000 - 2000/x2 + 200x

Q: Solve the following differential equations of (x' +y')dx + (2xy + cos y)dy

A:

Q: Use the Comparison Test to determine whether the series is convergent or divergent. 00 ,7/8 n' n = 2…

A: The given series,    ∑n=2∞1n78-1

Q: Consider the function f(x) = 2x° – 15x? – 36x + 8 on the interval [– 5, 9]. Find the average or mean…

A:

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A:

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A:

Q: r(t) = cos(Tt)i – In(t)j+ vt – 16k; to = 17 %3D Choose one▼

A: Given

Q: Find an equation for the line that is tangent to the caurve y= 3x-3x at the point (-1,0). The…

A:

Q: Write the augmented matrix for the system of linear equations. 6x +y+ 3z =D 2 9x - 6y- z = 5 x-8y-6z…

A: Explained below

Q: dy Question 2 - Solve the homogeneous differential equation dx ху %3D by using the substitution y =…

A:

Q: Find the area oF the regioN eNclosed between the curves de Fived by the equations y =Vx +2, y: x,…

A:

Q: "he graph of x(t) = t+ cos t, y(t) =t+ sin t, 0 <t< 2n is shown belov 6 Compute the slope of this…

A: Topic :- application of derivatives  Note :- as per our guideline if more than one question uploaded…

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation…

A:

Q: 2. Use the linear approximation of f(x) = x² ln(x + 1) to estimate (1.01)² ln(2.01).

A: We need to estimate value.

Q: --1

A:

Q: Determine the equation of the midline of the following graph. 5 3 2 -61 -37 6A 121 -1 -2 -3 -4 -5 4.…

A: see below the answer and explanation

Q: 2) Center: (11, 16) Radius: 1 4) Center: (-4, 0) Radius: 7 6) Center: (-7, -12) Radius: 3 8) Center:…

A: The Equation of a circle : (x - h)2 + (y - k)2 = r2 Where, r = Radius of the circle (h,k) = Center…

Q: Find the slope of the tangent line to the polar curve r = cos(30) at 0 = 7. Enter as an integer or…

A:

Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x - 4r +5 on the…

A: Steps to find the absolute maximum and minimum of a function f(x) on [a,b].  : Find the critical…

Q: Evaluate the integral by making an appropriate change of variables. 3(x + y) cos (x2 - y?) da, where…

A:

Q: Use the log rule of differentiation and differentiate y with respect to x.  y = ln( 8 + ex 8 − ex

A: given function

Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i+ 11 sin(t)j + tk; t= 2 T() - T N 2.

A:

Q: Charlie is driving when her vehicle detects an obstacle in the road 300 ft ahead. The vehicle's…

A: Given that: Charlie is driving when her vehicle detects an obstacle in the road 300 ft ahead. The…

Q: Find the limit. lim (t i - 7 j+ 1? k) t→3 lim (t i – 7 j+² k) = i+ j+ k i i i

A:

Q: 2.x4 + x3 x4 xp-

A: Given query is to find the value of the integral.

Q: Find all the values of x where the tangent line to the function f(x) = x° - 8x - 6x +2 is…

A: For horizontal tangent line dydx=0 Given :

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A:

Q: II 2. 3. 2. 4. x² 1. X. 3. D3x 4. 1. Find the given derivative. 4-part 1 Homework: Homework Chap

A: Dx3x-12 + 4x32=Dx3x-12 + 4x-32                               =3Dxx-12+4Dxx-32…

Q: x2 dr. Væ + 2 1. Evaluate -1

A: Integrate by parts.

Q: Consider the plane curve given by the parametric equations x = t + 22t – 23 y = t2 + 22t – 5 -- What…

A:

Q: Find all real and complex solutions to the equation   x^3 − 3x^2 − 10x + 24 =0

A:

Q: answer

A:

Q: 11. Use the guideline in §4.4 to sketch the curve: f(x) = x² ln x. A). Domain, Symmetry, Asymptotes,…

A:

Q: sinex) sintpx) x

A:

Q: parameter t to find a Cartesian equa

A:

Q: 6x° – 15x* + 20x – 1 and classify them using a Find the critical numbers of the function f(x) =…

A: Given the function

Q: Let fa)=S(-5-x2 + 23x +19 f Xチー6 if X= -6 calculate the following limits. ENter DNE if the liniit…

A: l

Q: 5. You are not allowed to use the graphing calculator For the given equation f(x) = x³ – 6x2 +9x- 2…

A: Only 5 solved... According to given   F(x)=x3-6x2+9x-2

Q: | (1– 2r)dr

A: Given:∫01(1-2x)dx = ∫011dx- ∫012xdx                     ∫fx±gxdx=∫fxdx±∫gxdx…

Q: Suppose a curve is traced by the parametric equations 3(sin(t) + cos(t)) = x у 3 18 — 6 соs"(€) — 12…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

A:

Q: Consider the function f(x) = 4 – 7x² on the interval [- 5, 5]. Find the average or mean slope of the…

A:

Q: Given x sin 4t and y = cos 4t, find the following derivatives as functions of t .

A:

Q: derivatives as functions of

A: