The graph, when the curve y=√(3+ x^2) from x = 0 to x = 4 is rotated about x - axis is O. O O ... Programmers Mathematians 718 Onone of the choices

Q: If the product of two positive numbers is 300, Minimize the sum of the second number and thrice of…

A: To find out the numbers.

Q: find 04 O B O 7 O -12 af ду dy' given f (x, y) = e + 2xy² – 4y at (0, 3) -

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: Product Rule of differentiation : d(u.v)dx = udvdx+dudxv. dxndx=n.xn-1

Q: Set up the integral representing the area of the region between the curves z = -1, x = 4, y = 22-2²,…

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Q: Find of, af , for f(x, y) = log₂ (3г² - +y)

A: Solution of given question is written in below steps.

Q: - Given the function f(x, y, z) = x ln(1 – z) + and simplify your answers. a) fa b) sin(x - 1) 2y…

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Q: 3. f(x) = x²-1 2x+1 if'(1)

A: Solution is here

Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

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Q: fy = √2 – 3x², find d'y dr2

A: Given query is to find the Indicated derivative.

Q: Find the first derivative of y=x² O a. y' = r²lnz O b. y'= -2² (1+ Inz) y'=r(1-Inz) °c O d. none of…

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Q: Evaluate the definite integral I. 1 = [₁² [(e-x + 1) dx -1 I =

A:

Q: x-y •SS=20₁ -dA over a square region Using the transformations u=x-y and v=x+y to evaluate xx+y with…

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Q: y"+y' = 0; y(0) = 0, y '(0) = 1 cost + sint t + cost + sint B) 1- e-t t-e-t O A) O D)

A: I am attaching image so that you understand each and every step.

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A:

Q: If w = eb₁x-b₂y-b³z, where b₁,b2, b3 are constants and b3 + b3 + b3 = 1. Show that อพ อพ อพ 02 อ 0z2…

A: Here in this question, we need to solve the given partial differential equation. The solution can be…

Q: If f is continuous on [a,b], then A True B) False d dx f(x) dx = f(x) x) dx)=

A: Given:-f(x) is continuous on a, bAccording to the fundamental theorem of calculusevery continuous…

Q: Suppose csc(x)= = √43 A 5 34 B 5 43 - 5 -√34 5 √34 and cos(x) <0. What is the value of sec(x)?

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: Evaluate the integral of the following: cos³ x+8 sin x cos²x+6 sin² x 2 cos²x -dx; cos x = 0

A:

Q: Iff and g are continuous on [a,b)], then [*[f(x)\g(x)]dx = [[*f(x)dx)(√*g(x)dx) a A True B) False

A: If f and g are continuous on a,b, then ∫abfxgxdx=∫abf(x)dx∫abg(x)dx

Q: The cylindrical shell method is to be used to compute for the volume of the solid generated by…

A: Given

Q: Find the area of the plane region bounded by y=-x+2 and y= x2 −2x 7 s.u. 9 S.U. S.U. 9 s.u.

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Q: A tank in the form of a rectangular parallelepiped is 12 ft long, 4 ft wide, and 6 ft deep. The tank…

A: Work done to pump water = mgh

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: find out the derivative of the function.

Q: A+B+C =0

A:

Q: All continuous functions are integrable. A True B False

A:

Q: Evaluate the given limit of the following: lim_[Vx2 + x - Vx2 + 4] X+00 Ya

A: Given;  Limx-infinity [sqrt(x2+x) - sqrt(x2+4)]

Q: 6x+13 1. Sx²+5x+6 - dx Co² (²) du

A: Dear Learner,We expert are following bartleby expert guidelines to answer the Questions. In case of…

Q: W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e";…

A: Solution is here

Q: Which of the following equations can be derived from the partial fraction decomposition of a…

A: We can solve this problem as follows:

Q: Determine the graph of the area between the curves bounded by y = -x² + 1 and x=y A B C D

A:

Q: Evaluate the following double integral over the given region R. 2 ln(x + 1) (x+1)y Use integration…

A: The objective of the question is evaluate the definite double integral.

Q: Kindly make a sign table for the graph

A: Solve the following

Q: 13. Water is spilling out of a tank with a leak at the bottom. After t hours, there are t+ √t liters…

A:

Q: 12 The value of the definite integral fm1² √ex – 9 dx is in the form F (b) – F (a), where a 19 and b…

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Q: Suppose 0 <m(8)<, and x=2 sec(0). What is the resulting expression if we write √x² - 4 as a…

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

A:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: We need to find volume.

Q: 2. dy axta¹ x-In√x²t)

A:

Q: Evaluate the integral given below. Check your answer by differentiating- NOTE: Enter the exact…

A: To evaluate the integral given below. To check theanswer by differentiating.∫16t-6 et dt=?+C

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A:

Q: Set up the integral representing the area of the region between the curves x = -1, x = 4, y = 2x -…

A: Consider the figure

Q: what is the gross profit margin on the coffee tales described in question 1 above

A: Profit

Q: Hwy find the integration 3 Se vadv V 1-

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Q: 1. x3y2 + xy3 = 2x2

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Q: 1+x² 1. Find the area of the region bounded by the curve y=- 2x² and the lines y = 0, y = x, x = 2.

A: Given problem:-  1. Find the area of the region bounded by the curve y=(1+x2)/2x2 and the lines y =…

Q: 10dz S 4z³ - 4z²+ 5z

A:

Q: 2. Evaluate the following definite integrals. Note: Final answer should be expressed as a decimal,…

A:

Q: A tank is in the form of a rectangular parallelepiped 5-ft deep, 15-ft wide, and 25-ft long. It is…

A:

Q: f ƒ (a,b, c) = cos (ab) + sin (b) + c where ƒ ((2, 73,7)) Evaluate af да (1,3,7) O Option 3 T√3 12 ل…

A: Topic:- application of partial derivatives