Q: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.1 cm. Use…
A:
Q: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.4 cm. Use…
A:
Q: A window has the shape of a square surmounted by a semicircle. The base of the window is measured as…
A: Calculation of error in Area of windows.
Q: The possible error involved in measuring each dimension of a rectangular box is ±0.1 millimeter. The…
A:
Q: An aircraft oncoming the airport is 0.5km from the antenna that has a maximum dimension of 3 m…
A: Given: Let us consider a plane approaching the airport is 0.5 kilometres away from the antenna,…
Q: second denivafive method to conclude 1x-21 local minimum at
A:
Q: A silo (base not included) is to be constructed in the form of a cylinder surmounted by a…
A: Given that a silo(base not included) is to be constructed in the form of a cylinder surmounted by a…
Q: B) Determine the volume of the solid obtained by rotating the region bounded by : y=x -2x and y= x…
A:
Q: A solid is formed by rotating the area bounded by x^2 + y = 6 and y = x above the line y = -3. Use…
A: given curves are x2+y=6y=xy=-3
Q: Find the area of a triangle bounded by lines y=2x and x=1 by a.) single integration b.) double…
A: Given: - The lines are, y=2x and x=1 To find: - The area of a triangle bounded by given lines. (a)…
Q: Using the given equation of curves: y = x, y= V12 – 2x a) Determine the common intersection points…
A:
Q: the radius of a sphere was measured to be 23 cm with at most possible error of 0.5 cm use…
A: The solution of the problem is given in the next step.
Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use…
A: The solution of above question is written below.
Q: A silo (base not included) is to be constructed in the form of a cylinder surmounted by a…
A: Given: The cost of the surface area of the hemisphere is twice the cost of the surface area of the…
Q: A solid is formed by adjoining two hemispheres to the end of a right cylinder. The total volume of…
A: Consider radius of cylinder is r and height of cylinder is h
Q: Evalule the Integra -3x dz -
A: We can evaluate the given integral by using the substitution u = 1- 4x2.
Q: Find the center of mass of a thin plate covering the region between The center of mass is (x, y) =.…
A:
Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total…
A: The solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. So, the…
Q: A uniform cubical box of edge a is placed on the top of a fixed sphere, the centre of the face of…
A:
Q: The diagram on the side show a cross-section of hollow shaft. Determine the maximum volume of h…
A: Lagrange's multiplier method can be used to calculate the maximum or minimum value of the function…
Q: 3. A well is located at distances of 8 feet and 4 feet from two roads that meet at right angles.…
A:
Q: A closed tank is made from a thin uniform metal. The tank is in the shape of a circular cylinder…
A: We know that lateral surface area of a cylinder is 2πrh, area of flat bottom is πr2, area of the…
Q: A silo (base not included) is to be constructed in the form of a cylinder surmounted by a…
A:
Q: 4. A tunnel opening is built in the shape of a parabolic arch. The tunnel has a span of 50 meters…
A: eq of parabola with vertex (h,k)x-h2 = ay-k…
Q: A box used for shipping goods is required to have the sum of its girth (perimeter of its…
A: The given figure is:
Q: The area of the region completely bounded by the curve y = 2 17 the x-axis, and the line containing…
A:
Q: 5. A metal plate, with constant density 5 gm/cm², has a shape bounded by the curve y = Vx, thex –…
A:
Q: A cylindrical container has cross sectional area of 0.20 m and is open at the top. At the bottom, it…
A: When the whole system is at rest at that time water from the ballon leaks to the container and the…
Q: A silo (base not included) is to be constructed in the form of a cylinder surmounted by a…
A: Consider the given information.
Q: Sketch the region bounded by the given lines and curves. Then express the regions area as an…
A:
Q: A box is to be made where the material for the sides and the lid cost $0.20 per square foot and the…
A:
Q: Determination of integrating factors: 2y{r² - y + xkdx + (x° – 2y kty = 0
A:
Q: find the center of mass of a thin plate of constant density d covering the given region. 1. The…
A: Given information:
Q: A cylindrical can without a lid is to be constructed to contain 800 ml of liquid. Determine the…
A: To find the dimensions that minimize the amount of metal needed to make the can.
Q: ning out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the funnel is 40 mm and…
A: Here it is given that, Water is running out of a conical funnel at the rate of 1000 cu mm/sec. the…
Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…
A:
Q: A silo (base not included) is to be constructed in the form of a cylinder surmounted by a…
A:
Q: A silo (base not included) is to be constructed in the form of a cylinder surmounted by a…
A: Let h be the height of cylindrical part of the silo and r be the radius of the base of the cylinder.…
Q: Find the center of mass of a thin plate of constant density & covering the given region. The region…
A: Let's find center of mass.
Q: container is formed by revolving the region bounded by the graph of y = x2 , and the x-axis, 0≤ x…
A:
Q: Find the absolute maximum and minimum values of the function f (x, y) = x² +xy on the region R…
A: We have to find the absolute maximum and minimum values of the function f(x,y) = x2+xy on the region…
Q: The region bounded by the curve y=x²-2 and the lines y=-2 and x=2 is rotated about the line y=-2.…
A: The two curves are y=x2-2 & y=-2 & x=-2
Q: The edges of a cube was measured to be 46 cm with at most possible error of 0.5 cm. Use…
A: To find the percentage error in the volume
Q: A rectangular bin is going to be made with a volume of 646 cm3 . The base of the bin will be a…
A: Let the side of square base is x cm and the height of walls is h cm Then volume of rectangular bin…
Q: A silo (base not included) is to be constructed in the form of a cylider surmounted by a hemisphere.…
A:
Q: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.4 cm. Use…
A: Solution the volume of the cube Solution the surface area of the cube
Q: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.4 cm. Use…
A:
Q: 2) The velocities of the two particles moving in a strange way are defined by equations, y1 =et and…
A: given velocity of two particles are…
Using these equations
8x+2xlambda=0
4y+2ylambda=2
x^2+y^2=2y
Find x, y, critical point, and the absolute minimum/maximum value.
Step by step
Solved in 3 steps with 2 images
- How are the absolute maximum and minimum similar to and different from the local extrema?Find the three critical points (both x and y values) for the multivariable function and explain process. Please note the requirement that the three x-coordinates follow the pattern X1<X2<X3solve the problem with the second partial derivative test or with Lagrange's method: Find the volume of a rectangular box with maximum volume if the surcafe is 96cm2 please show full and complete procedure HANDWRITTEN only
- Does this fuction have a minimum value?obtain general and particular solution satisfying initial condition indicated using separation of variablesA metal storage tank with fixed volume V0 = 360π m^3is to be constructed in the shape of a right circular cylinder (including the bottom) surmounted by a hemisphere. A picture is given below.What dimensions will require the least amount of metal? Show and organize your work; use the firstderivative test or the second derivative test or other tools to check that yours is the desired optimalsolution.
- the ends of a string of length L are secured at both ends. Its initial shape is straight but it is vibrating with initial velocity f(x)=x(L-x). choose the PDE and boundary/initial conditions that model this scenario.Cannot find the critical valueUse variation of parameters to write the forced solution in terms of a definite integral.