A parabola has an equation of y-32= 0. Compute for the surface area of the solid generated by revolving the area bounded by the line 2-4 = 0 and y=0 about the x- axis. Select one: O a. 135.94 sq. unit b. 194.35 sq. unit c. 100.54 sq. unit d. 153.94 sq. unit

Q: Given cost and price (demand) functions C(q) = 130q+47,500 and p(q) = -2.8q +820, how many items…

A:

Q: dr Evaluate - x(x²-4) ² Select one: Ⓒa.- +aresec)+c √√√²4 b. (+aresec)+c (+arcsec)+c O.C. - O d.…

A: This is a problem related to integral calculation. Based on the general formula and concepts we will…

Q: 10. f(x) = x³ + 1

A: Here, the given function is: f(x)=x3+1 Here, the y-intercept is (0,1) and no x-intercept is (-1,0)…

Q: Find y' 1. (x-y)2 = sin x + sin y

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: (D-3)³(D² +9)y=0

A: The answer is given below:

Q: 1.find the derivative of In[In(Inx)] 2. find the derivative of e(2x+Inx

A: Using chain rule of differentiation.

Q: Let f(x) = µ5ª. Use logarithmic differentiation to determine the derivative. f(x) = ƒ'(1) =

A:

Q: A cable hangs between two poles of equal height and 24 feet apart. Set up a coordinate system where…

A:

Q: apn below, state whether Graph 1 2- -8 -2 O Yes Graph 4 8. 4 OYes O No 6. 2+ O No resents a…

A:

Q: Solve the system of differential equations. X1' = 3x1 1x2 x₂ = 1x₁ + 5x₂ = - 11, x₂(0) = 7 x₁ (0) x₁…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: -1. For the function f(x,y,z) = sin '(xyz), find fx, fy, and f₂. fx (Type an exact answer, using…

A: Given query is to find indicated derivative.

Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. The volume…

A:

Q: 1. Find the second derivative of the parametric equations_x = a cost and y = b sin t

A:

Q: Sa -1 dx (1+x²) 12/2

A:

Q: € 4. If y=u² and u = x³ + 4 determine dx

A:

Q: 0 7 m We model pumping from spherical containers the way we do from other containers, with the axis…

A: To find the work done.

Q: 2 and x = 6. 4. Find the area bounded by the parabola y² = 4x and the line y = 2x - 4. ² and Find…

A: To find the area of region enclosed by given curves.

Q: What is the moment of inertia of the area in the first quadrant bounded by the curves y² = 4x,…

A: The given problem is solved below in detail.

Q: Given: g(x) = x² + 4x=2 Find and simplify (g°g)

A:

Q: A man is standing on a horizontal ground 30 ft away from a hot air balloon. After a moment, the hot…

A:

Q: 4) (1, 150°) 120° 150° 180° 210⁰ 240 90° 270⁰ 60° 2 3 300⁰ 30° 4 330⁰ Ꭴ

A:

Q: Sx". .n-1 + n[x²- x" sin x dx = -x cos x + n cos x dx

A:

Q: Solve the following problems showing detailed solutions. Draw the complete figures for each…

A:

Q: Given f(x, y, z) = x²y + y²z+z²x. (a) Find Vf(x, y, z). (b) Find the equation of the tangent plane…

A:

Q: 6. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area…

A:

Q: If sec2A = Select one: a. 3 deg O b. 5 deg O c. 7 deg d. 6 deg 1 sin13A' determine the angle A in…

A:

Q: Given a surface z = 9x² - y². = (a) Find the volume of the solid lying under the surface and above…

A:

Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A: topic -rate of change of a function

Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY:  y=x^2+1, x=0, y=0, and x=2…

A:

Q: NASTA 3 x cos 4x X

A: Let the given function f(x)=x3cos4x

Q: Given cost and price (demand) functions C(q) = 150q+46,400 and p(q) = -2.4q+880, if the company sets…

A: Given that cost and price (demand) function C(q)=150q+46,400 and p(q)=-2.4q+880.Also, if the company…

Q: Compute the average rate of change of f(x) = x2 − 2x on the interval [1, 3]. Find c ∈ (1, 3) which…

A:

Q: Solve the following equations: (D³ + 3D² + 3D + 2)y = 0

A: We can solve this as follows:

Q: The function fis defined as f(x) = -7 3x²+2 Find f(x-5). Write your answer without parentheses, and…

A:

Q: Find the area bounded by the parabolas y = 6x - x² and y=x² – 2x. Select one: O a. sq. units b. sq.…

A:

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Given that the region is bounded by y=2x2 and y=x3 about the x-axis.

Q: Find the volume of the described solid of revolution or state that it does not exist. 1 The region…

A:

Q: In each part, find polar coordinates satisfying the stated conditions for the point whose…

A:

Q: Find the derivative. f(x) = eº · 3x f’(x) =

A: topic- derivative of a function

Q: Without using the graph, determine all critical points of e2x − 2x and classify them as local max,…

A:

Q: Setan2 sec² 2xdx Select one: O a. 0.4325 O b. 0.0287 O c. 0.6543 d. 0.0177

A:

Q: Solve the following equations:* y" - 3y' + 2y = 2x² + ex + 2xe* +4e³x

A: answer is in next step

Q: 1) Find a power series representation for the function and determine the interval of convergence.…

A:

Q: Let f(x) = 2log, (x) - f'(x) = ƒ' (1) =

A:

Q: 21 21 The two-dimensional Laplace equation = 0 describes the potentials and steady-state temperature…

A:

Q: Given: f(x) = 10-X g(x)=x² + 4x-2 Find and simplify (9°F)

A: Given query is to find indicated composite function.

Q: Consider the functions z= - e In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

A:

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x 2. f(x)=x²-3x³ + 3x²…

A:

Q: For the function h(x,y) = ?x = x +9y 2xy-9 ah əh find and ax ду

A: We need to find derivative.

Q: Use the Root Test to determine whether the series convergent or divergent. ∞ n² + 1 n 4n² + 5. n = 1…

A: