Find the volume of the sould generated by revolving the area bounded by the _given curves about the indicated axis. please include your representation. 3.) xty = 6;y=3₁x=0_abcür y^a*N

Q: 6. y dy 1+√√y 11

A: SOLUTION-

Q: Given Cost and Price (demand) functions C(q) = 110q+45000 and p(q) = -2.7q+800, what profit can be…

A: Given cost and price (demand ) function C(q) = 110q+45000 and P(q)= -2.7q+800q, what profit can be…

Q: If f(x)=5x(sinx+cosx), find f′(x) =

A: Product Rule of differentiation : du.vdx=u.dvdx +dudx.v dxndx=n.xn-1 dsin(x)dx=cos(x)  and…

Q: 6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed…

A: Given:     Area = 4000 sq meter

Q: [*(sin³r)√1 + cos ar dr x

A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

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

A:

Q: 2. Find the interval of convergence of the power series & 3x गय

A:

Q: 2)dy - ydx = 0 (x + y cot ) dy

A:

Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

A:

Q: Show that, given the three angles A, B, and C of a triangle and one side, say a, the area o the…

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

Q: III. In each of the following, express the required series in summation notation. TL 2. Find the…

A:

Q: group of management students are creating a business plan for oposed shoe brand SoleSearching. The…

A:

Q: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

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

Q: Use double integration to find the volume of the solid on the first octant enclosed by the curves 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: 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: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

A:

Q: f(x) = 4√√x + 2x¹/2 - 8x-7/8 +x². f(x) +2 1 x3 = ²325/2 - 2x³/2+1/32²³- x³ - 2x² + x −1. 9

A:

Q: Annual sales (in millions of units) of a certain model of phone are expected to grow in accordance…

A:

Q: dy 1. If (x + y)² = x² + y² prove that 11 I Alx y

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Evaluate the following limit, if possible. If the limit c 4 lim 42-√√

A:

Q: (a) a) ₁₁ (x² +y) dy dx. Show all your work! 2 (b) ***1 1 dy dx. Show all your work! 0 2 ¹y² ff 1 dx…

A: SOLUTION-

Q: A manufacturer needs to make a cylindrical can that will hold 1.5 liters of liquid. Determine at…

A:

Q: (5x)" . Given the power series Σ(-1)", , find and justify its interval of 4n In(n)' n=2 onvergence…

A:

Q: 2 = 2(0)+7(0) + ²₂ D 6. Use a(t)=-32 feet per second squared as the acceleration due to gravity. A…

A:

Q: Evaluate the integral cosx dx from í/3 to π/2 * 0.134 0.500 0.293 0.707

A:

Q: III. Directions: Find the derivative of the given functions with respect to x using the limit…

A: i) f(x)=3x2+5x-7ii) fx=12x2-9x

Q: 4 -dx converges or diverges, and find the value if it converges. Determine whether the improper…

A:

Q: Solve the differential equations i 4. y' + (tan x) y = cos²x, 8. e² y' + 2e² y = 2x

A:

Q: What is the y = x^3 and y = x^2? O2/5 3/5 6/35 12/35 y-coordinate of the centroid of the plane…

A:

Q: Evaluate SSA, dA, where R is the region bounded by y=x2 and x = y² in the first quadrant. X

A:

Q: Evaluate the multiple integral.* 22y [ ✓²)¢ dx dy 10 17.5 16.5 The area hounded by the graphs of y=

A:

Q: 1) If y = (x-a)√2ax-x² + a² sin-¹(*), then y' = 2√/2ax - x² a a is constant. 2) If f(k)= k√a²-k² +…

A:

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

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: C. Find the slope and the equation of the tangent line to the curve. 21: y=x²-4x+1 at (2, -3)

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: A real estate firm estimates that the value of a certain property will be given by the function 517…

A: To solve the following problem

Q: 1) If y = (x − a)√2ax - x² + a² sin−¹(*—ª),t ), then y'= 2√2ax-x² a is constant.

A: As per instructions, Here is the answer of question 1

Q: 4. The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A: answer is in next step.  please give a like !!!!

Q: (a) For a certain curve, y"=2. Find its equation given that it passes through P(2, 6) with slope 10.…

A: Note: according to the company policy we can attempt only one question so please upload the next…

Q: What is the exact value of sin(67.5°)cos(22.5°)?

A: Solution-

Q: p= I.F. = e/P(x) dx Now solve (I.F.) y = f (I.F.) - Q(x) dx 9. Solve the linear ODE using an…

A:

Q: In spherical coordinates, the integral equivalent to None of these. 2πT π/2 2 S 6,²¹² 6² p² sin…

A:

Q: Find all points where the function has any relative extrema. Identify any saddle points. f(x,y) =…

A: f(x, y) =4x2+6xy+3y2-4x-8 In this question, we need to find all the points where the function has…

Q: Find fx(x,y,z), fy(x,y,z), f₂(x,y,z), and fyx (x,y,z) for the following. 3 f(x,y,z) = 4x³ + 2xy -…

A:

Q: EX 4: a) Determin the value of A and B for wich the vector field x4 F (X₁y₁z) = Axluze + B By ² z 5…

A:

Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: Let f(x, y) = − sin2 (2x − y) Evaluate fx and fy at (π / 4, π / 3)

A:

Q: Convert (z+ 2)² + y² = 4 to polar form. Drag and drop an answer to each box to correctly complete…

A: Let us assume x=r cos θ   and y=r sin θ. So, we get              (x+2)2+y2=4⇒(r cos θ+2)2+(r sin…

Q: Find all points where the given function has any local extrema. Identify any saddle points. f(x,y) =…

A:

Q: Perform the integration. x-1 dx x² + 5x + 8

A: