Q: A lead pencil consists of a cylinder ofwood with a solid cylinder of graphite filled into it.The…
A:
Q: 1. Given: y 3x Assuming the box has a fixed volume. What is the value of y in terms of x that will…
A: First find the volume then differentiate on both side .
Q: 1 dy yi+ yi = 1, when x = 0, y = 4 dx
A: y12dydx+y32=1 when x=0, y=4.
Q: A factory packages coconut water in cone-shaped containers with a base radius of 5.2 cm and a height…
A: Given radius = 5.2cm Height = 13cm Total surface area of cone shaped container and cylindrical…
Q: dy ion =1+y de uden Teul
A:
Q: volume solid= T1 da.dy.dz of 30 2पट 5 1. r.das.do.dz
A: Given, Volume of solid=∫∫∫v1·dx·dy·dz=∫03∫02π∫051·r·dr·dθ·dz
Q: Evaluate the integrals in Exercises
A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…
Q: 3. A lead pipe 3 cm thick has inner diameter of 4 cm. Find number of cubic centimeters of lead in a…
A:
Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If
A:
Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = tanh (x + 2y + 3z)
A: We have given fx,y,z=tanhx+2y+3z and we have to calculate fx,fy and fz
Q: 3 Approximate the volume of a golf ball using differentials if the diameter of its rubber-like core…
A: Given that the diameter of a golf ball's rubber-like core is 32 inches and its ionomer resin cover…
Q: EXAM Q1-If x= cot-1 VE, y =,-. find dy d2y dx' dx2 at t = 2.
A:
Q: V. A hemispherical basin of radius 4 ft contains liquid to a depth of 3 ft. If the liquid weighs 48…
A: This is a problem related to pumping volume of the spherical basin to the 3 ft above the container.…
Q: 2. Determine el área de la superficie generada al girar la curva dada alrededor del eje…
A: solution:-x=13t3, y=t+1x∈1, 2rotating around the "y" axissurface area of…
Q: dy 3 sinh y - 5 cosh y
A: Given, I=∫dy3sinh y-5cosh y
Q: A cylindrical can, open at the top, is to hold 200 cm³ of liquid. Find the height, h, and the…
A: Consider the given: The given volume of the cylinder is 200 cubic cm. V=πr2h200=πr2hh=200πr2 Find…
Q: Find Higher oxder dexivativese- %3D 2)Y. (ax+1)³ %3D 3)y: ex. 24:25x
A:
Q: 2х + 3 d |(x² + 3x – 7)7 V
A: Given ∫2x+3(x2+3x-7)7dx
Q: The dimensions x and y of an object are related to its volume V by the formula V = 11x²y. dV a. How…
A:
Q: Differentiate: y = v25 – 22 – 5 arccos() 5+2 O y = O y = %3D Oy =
A: derivative
Q: | sec 5x dx
A:
Q: 4u? — 4и + 3 - пр- J (2и — 1)/4и? — 4u — 15 - - -
A:
Q: 1 cone of radius x and height y is given by V = =Tx2 y. Suppose that the 3 dy Find when x = 2 and y…
A:
Q: Verify the integration formulas in Exercise
A:
Q: A cylindrical can, open at the top, is to hold 600 cm³ of liquid. Find the height, h, and the…
A:
Q: 5. y = gezt + cze-3t – cost o y" - 7y' +y = sint + cost o y" +y' – 6y = 5 sint – cost o y" +y' +y =…
A: Find y , y' and y'' and substitute in the given option and check which option is true. Note : As per…
Q: A cylindrical thermos has a radius of 3 in. and is 12 in. high. How is the volume affected if all…
A:
Q: 2x5y' = y(3x*+y?) %3D
A:
Q: 4. A vertical right circular cylindrical tank measures 24 ft high and is 8 ft in diameter. It is…
A: Given:The height of the right circular cylindrical tank is 24 ft and diameter is 8 ft. It is full of…
Q: 15 10 15 8 The cylindrical glass is full of water. Which is poured into the rectangular pan. Will…
A: Radius of cylindrical glass= 8/2=4
Q: y=Ax+Dx^B is the particular solution of the first-order homogeneous DEQ: (x-y) = 5xy'. Determine…
A: Given differential equation, 5xdydx=x-y, x=3,y=6 dydx=x-y5x put, y=vx dydx=v+xdvdx now put values…
Q: The side of a cube increases at the rate of 1 m/sec. The rate at which the volume of the cube…
A:
Q: 5.Differentiate. y=3/2−4x
A: We will differentiate using chain rule of differentiation.
Q: The volume of a right circular cylinder of radius X and height y is given by V= TtX¯y, Suppose that…
A:
Q: Suppose that a cylindrical tank initially containing Vo gal- Use Torricelli's law to show that the…
A:
Q: |2²+2x + 1 dx
A:
Q: If the volume of the cube increases at the rate of 15 m' I se dy dy b) a -15 m / sec dt a) = 15 m² /…
A: Option D is correct. 15 m^3 changing per second.
Q: a. About how accurately must the interior diameter of a 10-m-high cylindrical storage tank be…
A: a.Calculate the radius of the tank can be given as,
Q: Answer B b. how do the dimensions of the least expensive can change if the bottom material cost…
A: (b) Given that volume of the cylinder is 100 Hence, πr2h=100h=100πr2 Hence, h=100πr2 Since, given…
Q: The volume of a right circular cone with radius r and height h is V=πr2h/3. a. Approximate the…
A:
Q: The uniform beam has a mass of 42 kg per meter of length. Determine the reactions at the supports. y
A: Let us start solving the problem step by step Acceleration due to gravity is g=9.81N/m2
Q: The dimensions x and y of an object are related to its volume V by the formula V=9x2y How is dV/dt…
A:
Q: A tank initially holding 80 gals of fuid with 40 lbs of salt has two sources of fluid being pumped…
A:
Q: 1 The volume of a right circular cone of radius x and height y is given by V Tx y. Suppose that the…
A:
Q: 1 The volume of a right circular cone of radius x and height y is given by V TXʻY. Suppose that the…
A: Given that: Volume of the cone, V=13πx2yV=204π cm3x=6y=17
Q: 9) A vertical right circular cylindrical tank measures 24 ft high and 10 ft in diameter. It is full…
A:
Q: 12. Approximate the change in the volume of a right circular cylinder of fixed radius r = 20 cm when…
A: Change in volume
Q: 17. Find the work done in pumping out water from the top of a cylindrical tank 3.00 ft in radius and…
A: To calculate how much work is done to empty the tank under the given conditions
Q: given FCX)= x° t use definatron Of desivative
A: Given: fx=x2+1x Definition of derivative: f'x=limh→0fx+h-fxh
Q: Show that the antiderivatives are equivalent.…
A: ∫6/(4 + 9x2) dx = arctan 3x2 + C or arccsc √(4 + 9x2 ) / 3x + C We need to show that the…
Please answer
Step by step
Solved in 3 steps with 2 images
- Estimatethe value of Duf (30, 20), where u = (i + j)/√2.An igloo or Eskimo hut is built in the form of a hemispherical shell with an inside diameter of 12 ft. If the igloo is constructed of snow blocks having a uniform thickness of 2 ft and weighing 40 lb per cu. ft, find the weight of the igloo, neglecting the entrance. Also, if fresh air contains 0.04 percent carbon dioxide, find the amount of this gas in the igloo when freshly ventilated.I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $12 per foot, and the fencing for the east and west sides costs $6 per foot. If I have a budget of $120 for the project, what are the dimensions of the garden with the largest area I can enclose? --- smaller value x ----- larger value ? ft2
- the first coat of paint for the outside walls of a building requires 1 liter of paint for each 10 meters square of wall surface. The second coat requires 1 litter for every 15 meters square. If the paint costs $3.50 per liter, what will be the cost of two coats for the four outside walls of a rectangular building 20 m long, 15 m wide, and 6 m high?Suppose you want to paint a room in your house that measures 12 ft X 12ft X 10 ft. it has one window that measures 4 ft X 4 ft and a door that measures 3ft X 8 ft. a. Find the area of walls and the ceiling only, excluding the window and the door. b. If paint cost $14.99 a gallon , on sale, and 1 gallon covers approx. 300 square feet. About many WHOLE gallons will you need ? c. If carpeting costs $19.99 /square yard . how much will it cost to carpet the floor ? (round answer to nearest dollar)a. About how accurately must the interior diameter of a 10-m-high cylindrical storage tank be measured to calculate the tank’s volume to within 1% of its true value? b. About how accurately must the tank’s exterior diameter be measured to calculate the amount of paint it will take to paint the side of the tank to within 5% of the true amount?
- Calculate for work. Five joules of work is required to stretch a spring from its natural length of 15 centimeters to the length of 25 cm. In Joules, How much work is required to stretch the spring from a length of 30cm to to a length of 42cm?An igloo or Eskimo hut is built in the form of a hemispherical shell with an inside diameter of 12 ft. If the igloo is constructed of snow blocks having a uniform thickness of 2 ft and weighing 40 lb per cu. ft, find the weight of the igloo, neglecting the entrance. Also, if fresh air contains 0.04 per cent carbon dioxide, find the amount of this gas in the igloo when freshly ventilated.A clinical laboratory technician determines that a minimum of 75 mL of working reagent is needed for a procedure. To prepare a 1/4 dilution of reagent from a stock solution, one should measure 75 mL of the reagent and and mL of the diluent.
- A former plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the herd the pasture must contain 361,250 sq/m. No fencing is required along river. What dimensions will use the least amount of fencing?I need solution with in 30 mtz please it's urgent I will upvote uIf the focal length of a reflection telescope is 200 cm and the focal length of the eyepiece lens is 0.25 cm, what is the magnifying power of the telescope
