Q3: Find the value of B, the energy density and the rate of energy flow per unit area S, for the electromagnetic wave, suppose E = 100V.m' =100 N. C''.

Q: The radius of a right circular cylinder is given by Vt+5 and its height is vt, where t is time in…

A: Given: -The radius of the right circular cylinder is, t+5 and its height is 15t , where t is the…

Q: Assume that the radius r of a sphere is expanding at a rate of 30 cm/min. The volume of a sphere is…

A: For the given sphere: Rate of expansion of radius r=30 cm/min……1At t=0, r=10 cm……2Surface area, say…

Q: 2. How can you relate the rate of change for the surface area of a cube (dSA/dt) as compared with…

A:

Q: Of a rectangle are chonging at the tates of 1m/s and 2m/s. Sides its When its sides are 30 m and Ao…

A:

Q: n. lar velocity w for

A: Given: The formula relating to v and angular velocity ω for a circle of radius r To find linear…

Q: A sample of gas is heated with 15.4 kJ of energy while simultaneously expanding to 28.3 L from 2.3 L…

A: We know formula for work done -  w = -p∆v

Q: A ball having mass m falls from a tower with heigh h from the ground. The velocity of the ball…

A:

Q: . According to Poiseuille's law, the resistance to the flow of blood offered by a cylindrical blood…

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

Q: which then evaporates at a rate proportional to the area of the surface of the water. Show that the…

A:

Q: A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. Find the…

A:

Q: The length, x, of the edge of a cube is increasing. (a) Write the chain rule fordV/dt, the time rate…

A: The length, x, of the edge of a cube is increasing. a). Consider the volume of a cube, V=x3…

Q: What is the rate of change of the volume of a ball (V = (4/3)pai r3 ) with respect to the radius…

A:

Q: Find the displacement and the distance traveled over the indicated time interval. r = e'i+e¯fj+…

A: Given:r=eti+e-tj+2tk          0≤t≤lnt

Q: Assume that the average molecular velocity v of a gas in a particular container is given by v(T) =…

A:

Q: Calculate the rate of change of escape velocity vesc = (2.82 × 107)r −1/2 m/s with respect to…

A: Given, vesc=2.82×107r-12 m/s where r is a distance from the center of the earth.

Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…

A:

Q: Find the total distance traveled by a particle according to the velocity function v(t)=−t+7 m/sec…

A:

Q: 4. The surface area, S, of a sphere of radius r feet is S = S(r) = 4rtr2. Find the instantaneous…

A:

Q: Given a cube with sides x inches, let x(t) = t + 2. What is the instantaneous rate of %3D change of…

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Q: Water is poured into the bucket below at a volume rate of 10 cm³/s. The surface area of the bucket's…

A:

Q: An automobile accelerates from rest at a(t) = 1+3vt mph per second for 9 seconds. What is its…

A:

Q: b) The mass (in kg) of a product from a chemical reaction is denoted by 'y'. The dy rate at which…

A: b Separate the terms of both the variables Then let 1+y2=z2ydy=dzand 1+t2=u22tdt=2udu

Q: The volume of a sphere is expanding where r= 2t + 1. What is the rate of change in volume with…

A:

Q: (а) The flow (in cm³/s ) of blood from an artery into a small capillary can be modeled by CTx…

A: Given - The flow of blood from an artery into a small capillary can be modeled by Fx, y, z = cπx24y…

Q: The following table shows the velocity of a snail at various distances in a race of overall distance…

A: Given, x 0 5 10 15 20 y 4 8 9 6 4 As it is known that the Simpson's rule is given as,…

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

A:

Q: A baseball player throws a ball straight up into the air. At a height of 3.4 m above the release…

A:

Q: A tank initially holds 10 gal of fresh water. at t=0, a brine solution containing 1/2 lb of salt per…

A:

Q: b) x(t) k =?. = xoe where x is molar concentration and t is time in seconds. xo =?,

A: Given,           A(t) =A0 + Apeaksin2πft

Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 70cm³ /s. How…

A: Volume of the sphere , V =43πr3 ; where , 'r' is the radius of the sphere. Surface Area of the…

Q: Assume that the radius ? of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is…

A:

Q: Use the differential dV to estimate the change in volume of a cube when the side length changes from…

A: We need to use the formula for differential to estimate the change in volume when side of the cube…

Q: Vater fills a bathtub at a rate of r(t) liters per minute (where t is the time in minutes). sr(t) dt…

A: Given that Water fills a bathtub at a rate of r(t) liters per minutes where t is the time.

Q: 4 V ==T³, 3 where r is the radius, in centimeters. Compute the average rate of change of V with…

A: we have to find rate of change of volume with respect to r.

Q: As above, a particle has velocity v(t) = 3t² – 2t – 1, measured in meters per second. Now compute…

A: We have to find

Q: Water is poured into the bucket below at a volume rate of 10 cm³/s. The surface area of the bucket's…

A: Here we have to use Fundamental  theorem of calculus Part 1 Let f be a continuous real-valued…

Q: Assume Y(t)=20e^(rt) and Y'(t)=20re^(rt), to show how the concentration of yeast changes over time.…

A: Y(t) = 20 exp(rt)    We know that concentration doubles every 3.4 hours.  Y(t + 3.4) = 2 * Y(t)  Put…

Q: dV If the volume of the cube increases at the rate of 15 m² / sec, then the value of is dt

A:

Q: The following table shows the velocity of a snail at various distances in a race of overall distance…

A:

Q: The volume of a sphere is expanding where r = 2t. What is the rate of change in volume with respect…

A: First substitute the value of r=2t in volume ,and then differentiate it for finding the rate of…

Q: A sphere is expanding with time. Assume that the volume of the sphere is V = (4pi * r ^ 3)/3; r(t) =…

A:

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A:

Q: The radius r and height h of a cylinder are changing with time. At the instant in question, r = 3…

A:

Q: Q3: A right circular cone has the radius of the base and the height which at a given instant (to)…

A:

Q: 2. How can you relate the rate of change for the surface area of a cube (dSA/dt) as compared with…

A: we know that surface areaSA and volumeV of a cube, whose side is l given by SA=6l2…

Q: If it begins to decelerate at the rate of a=(-0.5v/2) m/s², where v is in m/s, determine the…

A: To find the distance travels by the particle before it stops. Given that: Initial velocity of the…

Q: pertensive patient has been on antihypert on for several years. Her physician wants t d pressure via…

A: The objective is to compute the minimum sample Size. From the available information, Margin of…

Q: f the measurement of the side of a cube is increased from 5 cm to 5.2 cm, the approximate increase…

A: Side of cube is increased from 5 to 5.2

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.