For the figure below, the atmospheric pressure equal to 101.3 kPa and the bottom pressure is 240 kPa. absolute. What is the specific gravity of fluid X? If you know the details of fluids are: Oil: S.G = 0.89, depth 1.32 m Water: S.G = 1.0, depth 2.54 m Fluid X: S.G = ? , depth = 3.8 m Mercury: S.G = 13.6 , depth 0.34 m

Q: he side of a cube is measured to be 5 inches with an error of 0.2 inches. Find the relative error to…

A: Given  side a = 5 inches error in side    da = 0.2 inches

Q: The heat of vaporization for benzaldehyde is 48.8 kJ/mol, and its normal boiling point is 451.0K.…

A: Given: Heat of vaporization of benzaldehyde = 48.8 kJ/mol Normal boiling point of benzaldehyde =…

Q: The volume of a spherical balloon changes with respect to the radius r. At what rate (in ft°/ft)…

A:

Q: Order: 3/4 strenght Ensure 240 mL via NG tube over 8 h.  What is the pump setting in mL/h?

A:

Q: The density of Venus is similar to that of Earth. The mass of Venus is 4. and its diameter is 12,100…

A: For the given  Mass = 4.9 X 1024 kg  Diameter = 12100 km  The density of venus is

Q: Scale PRESSURE, X ху x2 y2 Reading, y 10 13 Blank 1 Blank 2 Blank 3

A: Given : x = 10 y = 13

Q: The radius of a sphere was measured and found to be 20 cm with a possible error in the measurement…

A:

Q: For a tube having E 2 x 105 N/mm2 and u = 0.3 the hoop stress at the inner surface is twice the…

A: We have to find the thickness.

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: given that radius of a sphere increases at a rate of 3m/sec find the rate  when radius is 9m

Q: dv If the volume of the cube increases at the rate of 15 m / sec, then the value of is dt dv dV a) =…

A: Find the value value of rate of increase of volume of a cube

Q: (1) An ultrasound imaging device measures a time of 5.2 × 10$ seconds for sound waves to return to…

A: Given, Speed=1540 m/s time=5.2* 10-5 Distance=?

Q: 10. The linear density of a rod of length 1m is given by p(x) = 3/T – 2+1 in grams per centimeter,…

A: Here, the mass  m=∫01ρ(x) dx...(1)

Q: The pressure on a certain amount of gas is 0.223 atm. What is the volume of the gas in terms of k?…

A:

Q: 5) Use the diagram of loaf of bread on the right for the problems below i) If the volume is 500…

A: the volume of bread is given by  B=length ·width ·height here we have length =10 cm width =10 cm…

Q: A cylindrical tank is 4/pi  m high and has a radius of 0.5 m. How much paint is needed, in cubic…

A: Since we are applying paint around the tank and its radius is changing due to the thickness of the…

Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

A:

Q: If a spherical water storage tank has a diameter of 50 feet, and the top of the tank is 106 feet…

A: Solution is in step 2

Q: Assuming a constant temperature, match the change in volume that a gas occupies to the change in the…

A:

Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.6 m. Find the work…

A:

Q: If the radius of a sphere increases at a rate of 0.5 m/sec, then the rate at which the volume of the…

A: Find the rate at which volume of a sphere increase s

Q: -239 kJ what is the value in calorie?

A: Since  1 kJ = 0.239 kilo calorie

Q: The volume of the sphere is increasing at the rate of 6 cm?/hr. At what rate is its surface area…

A:

Q: The radius of a circle increases at a rate of 2m/sec. Then the rate at which the area of the circle…

A: The solution is given below

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: If the radius of a sphere increases at a rate of 1.5 m/sec, then the rate at which the volume of the…

A:

Q: Consider a cone with a radius of 5cm and a height of 10 cm. Find the change in the volume of the…

A: Given data: The given radius of the cone is r=5 cm. The given height of the cone is h=10 cm. The…

Q: The volume V of a right circular cylinder is given by the formula V = Tr'h, where r is the radius…

A:

Q: The volume V of a right circular cylinder is given by the formula V = 1/3ar²h where r is the radius…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A 25-foot ladder is leaning against a house, as shown in the figure below. If the base of the ladder…

A: Using Phthagorous therome, r2 +x2=252  First we find rate of change in r, then we get Dr/dt in terms…

Q: 11. When Anna and Tony went on a shopping spree, they started out at the nut shop. Then they crossed…

A: We need to calculate how far Anna and Tony walked.

Q: The ratio of carbon 14 to carbon 12 in a piece of paper buried in a tomb is R = 1/3^11. Estimate the…

A: Carbon dating model is given by  R=11012e-t8223 Given R=11311 Replace R in the carbon dating model…

Q: A car traveling en a 2.6° uphill grade has a grade resistance of 115 lb. Determine the weight of the…

A:

Q: A spring's natural length is 10 m. If it requires 5 J to stretch the spring from 13 m to 17 m, find…

A: Given: spring's natural length is 10 m. I.e x0 = 10 m  When the spring is stretched it's length…

Q: Assume that the brakes of an automobile produce a constant deceleration of k ft/sec2. (a) Determine…

A: Given,          Assume that the brakes of an automobile produce a constant deceleration of k ft/sec2

Q: The tank shown below is full of water. Recall that the density of water is 1000 kg/m². Suppose that…

A: Base(top) to height relation where 0≤x≤3 and 0≤y≤3 x=y So the rate volume is, ΔV = 8xΔy ΔV = 8yΔy…

Q: A company wishes to manufacture a box with a volume of 40 cubic feet that is open on top and is…

A: To find the width of the box that can be produced using the minimum amount of material.

Q: Consider a cone with a radius of 5 cm and a height of 12 cm. Find the change in the volume of the…

A: Volume of the cone is V=13πr2h. Given, r=5 cm, h=12 cm, dr=0.04 and dh=0.02.

Q: The volume of a cylinder is given by V = Π ? If the cylinder has a radius of 3 and a height of 2,…

A: Volume is the amount of space occupied by a closed surface. It is measured in terms of the number of…

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A: Given that the volume V of a right circular cylinder is given by the formula V =(pi)r2h, where r is…

Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

A: Topic- Application of Derivative

Q: The volume V = 3 "Tr° of a spherical balloon changes with the radius. 3 a. At what rate (in°/in)…

A: We know that the volume of the sphere  is V=43πr3 To find the rate of change in volume with respect…

Q: The depth of an under proportional to the tim meters (m) of the came

A: Given that, The depth of the camera under the water is proportional to the time. We have to fill up…

Q: For the figure shown, consider the following: • Two tanks are connected by a pipe with flow rate of…

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

Q: e) A spring is stretched by 6 % to 34 cm. The length before the stretch was cm (f) The volume of…

A:

Q: Two resistors R1 and R2 are connected in parallel as shown in the figure. v RI R If the resistance…

A: Resistance R1 is changed from 16 to 16.2 ohms  And resistance R2 is changed from 22 to 21.8 ohms  R1…

Q: 23. An open water tank with height 6 m and diameter 2 m is filled completely. A) calculate absolute…

A:

Q: As shown, suppose a = 0, b = 3, and the densityof the rod in g/cm is ρ(x) = 4 - x. Where is the rod…

A: Given: Density of the function is ρ(x)=4-x. Determine the mass per unit length  of the rod at…

Q: e) What is the formula of the area of the cross-section? f) Use x, y to represent the area of the…

A: e The dimensions of square are determined by length from 1 side of semicircle to other side. Hence,…

Q: palloon is inflating at a constant rate of 3 cm' per second. When the volume of the balloon is T…

A: Here we have, inflating rate of a balloon dVdt=3 cm3/sec The volume of the ballon is V=43π cm3

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.