Find the volume of the solid generated by revolving the area bounded by the given curves about the indicated axis. Please include your representation, 1. y = x² 2²-29 2x, x-axis: about x - axis

Q: Analyze and sketch the following curves.Indicate the intercepts, asymptotes, and critical points

A:

Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…

A:

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

A:

Q: First the pieces: End result (in terms of just t): dt 江 西 | Use the chain rule to find where 11 z =…

A: if z is function of x and y. Also x and y are of function t then derivative of z w.r.t "t"  is…

Q: 1. Find the sum of the following infinite sequence: 40, 20, 10, …

A: A detailed solution is given below.

Q: 1-√3-x 4. lim. x→2 4-x²

A:

Q: nd price (demand) functions C(q) = 100q+43,700 and p(q) = 2q + 890, what is the marginal revenue at…

A: Please refer to the image below

Q: 4. In order to study the population distribution of a certain species of insect, a biologist has…

A:

Q: 11. Given f(x, y) = 6r² - 2r³ + 3y² + 6ry. Determine any local maxima, local minima, and saddle…

A: To find out the local maxima, local minima and saddle points.

Q: Evaluate the following integral. JJ. xyz dV if S is the region bounded by the cylinders x² + y² =…

A:

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² + 5, the x-axis and…

A:

Q: I. Directions: Determine if the function is continuous on the given interval 1-3. f(x) 2 12-x² ; [1,…

A: 1. fx=212-x2; 1,32. fx=2-x+3; -3,-13. fx=1if x≤2x2-3if x>2; 2,4

Q: 1. A farmer wants to fence in a field and divide it into four side by side, equal areas. If he wants…

A: From the given data And, xy=8000&f(x,y)=2x+5y is the parimeter to minimize.

Q: a rocket ship is climbing at the rate of 610 ft/sec when it is at 4600 ft it is tracked by an…

A: y is height, x is distance between camera and launching pad  dx/dt = 0  At y = 4600 ft, dy/dt =  The…

Q: Determine the x - y coordinates of the points where the parametric equation x = 5 sin²t y = 2 cost 0…

A:

Q: 120 5+sin 0 5. (a) Find the constants a,b,c for the conic r=- Sketch the conic.

A: Concept: The standard form of the polar cone r=a(1-e2)1±esinθ Here e is the eccentricity When the…

Q: 6. If If vectors (5,2,-1) × (2,-1, a) = (5,-12,-9) then determine the value of a.

A: Given: 5,2,-1×2,-1,a=5,-12,-9

Q: Find the area under the curve 4x2-3x+6 between x= -2 and x=3

A:

Q: 3. How much work does it take to pump the water in a full tank to 2 ft above the tank in the…

A:

Q: 00 ermine the converges or diverges of the series n=1 = 1 (n+1

A:

Q: 2. Using power series, evaluate lim x → 0 sin x-x 3 X

A:

Q: 4. If 6.5 m³ of oil weighs 46,800 N, calculate its density in kg/m³. (a) 285 (b) 258 (c) 82 (d) 734…

A: Given problem:- 4. If 6.5 m³ of oil weighs 46,800 N, calculate its density in kg/m³. (a) 285 (b) 258…

Q: fesch² (1- csch² (1+ 3x) dx

A: Hyperbolic function need to be integrated.

Q: The production output of a certain factory is N(t) = √² + 10t + 8 where N(t) is the output in…

A:

Q: Activity #3: Present Value Max was injured and can no longer work. As a result of a lawsuit, he is…

A: We need to find Present value.

Q: 3. 2x − y = 4 at point (0,−4)

A:

Q: Find the present value of a continuous stream of income over 4 years when the rate of income is…

A: I have appended the formula used in the solution part of the question.

Q: Given Cost and Price (demand) functions C(q) = 100q+40000 and p(q) = -2.8q +800, what profit can be…

A:

Q: Q) choose one only 1) If y = (x − a)√2ax − x² + a² sin-¹(*), then y' = 2√/2ax-x² a a is constant. 2)…

A:

Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: the Following differential equation ²²=1+ P²

A:

Q: consider the function y=−3sin(4x−π/2)+1  a) What is the amplitude? b) What is the period?  c)…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: The current population of a certain bacteria is 2050 organisms. It is believed that bacteria's…

A:

Q: You deposit $2000 in an account with 4% annual compound interest. Complete the following, assuming…

A:

Q: cos (+h)-cos(3) COS h I {+h)- - 3 3 h 3. Evaluate lim →(7/3) COS 4. Evaluate lim ₁0 π Cos

A:

Q: reply as soon as posible.

A: To find out the conservative.

Q: A driver drove 50 miles in 50 minutes. How many miles per hour was he driving?

A: We have to find how miles cover in 1 hour .

Q: Com A real estate firm estimates that the value of a certain property will be given by the function…

A:

Q: Read and understand the problem carefully. Show your solutions. 1. The Basco Lighthouse has a…

A: Concept: Trigonometric functions: Circular functions, normally referred to as trigonometric…

Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

A:

Q: B. Find the derivative 11. f(x) = 5x³ 12. f(x)=(x²-3) (2x-3) 13. f(x)=(2²+5)(4x-3) of each of the…

A:

Q: 2) dy = y² (1+ex) dx

A:

Q: The price of a popular gaming console is related to the quantity demanded by the equation 2p² + x² =…

A: We need to differentiate the equation and calculate the unknown.

Q: Show that the substitution a = e, y = et converts the equation ди ² (0²²) + 1² (0²5²) +- (3) +v(u) =…

A:

Q: Q2: find the Laplace of the following functions: a- f(x) = (cosw, for 0<t< (o for,=<t<² 0

A: If ft is a periodic function with period T, then        Lft=11-e-sT∫0Tft e-sT dt So,…

Q: Find derivative A) y=sin x/1-cos x B) p(x)= 3/1+10e^4x Simplify answer

A:

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: (b) Find the dimensions of a box with a square base with surface area 16 and the maximal volume.…

A: The second question has been solved as per the request of the student.   This question can be solved…

Q: lim x4 1 x³-64 Ꮳ 5 1 vx2+9

A:

Q: Use the chain rule to find, where First the pieces: End result (in terms of just t): dz = dt 江 西 | z…

A: