Help me solve this please... differential calculus Each side of an equilateral triangle measures 3cm, with apossible error of 0.1cm. Using differentials, estimate therelative error in the area of the triangle.O 0.0433O (E) None of the choicesO 0.43O 0.075O 0.67 Use differentials to estimate the amount of paint neededto apply a coat of paint 0.05 cm thick to a hemisphericaldome with diameter 50 m. Estimate the relative error incomputing the surface area of the hemisphere.O 0.2O 0.02O (E) None of the choicesO 0.002O 0.00002

The area of equilateral triangle is, A = 34a2 units2 where…

Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using differentials, estimate the relative error in the area of the triangle. O 0.0433 O (E) None of the choices O 0.43 O 0.075 O 0.67

Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using differentials, estimate the relative error in the area of the triangle. O 0.0433 O (E) None of the choices O 0.43 O 0.075 O 0.67

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

See similar textbooks

Related questions

Q: Water drains from the conical tank at the rate of 5ftmin 14. 4 10 Exit rate: 5 ft/min a. What is the…

A: By using the concept that the sides of similar triangles are proportional, therefore, the ratio of r…

Q: If a cup of coffee has temperature 94°C in a room where the ambient air temperature is 19°C, then,…

A: To find: The average temperature of the drink C during the first 26 minutes. Given: The temperature…

Q: The measurement of the side of the cube is 6 cm long. If this length has an error of 1/12 cm. Find…

A: Topic = Derivative

Q: write a differential formula that estimates the given change in volume or surface area.The change in…

A: We want to write a differential formula that estimates the changes in surface area of right circular…

Q: The height (in meters) of a projectile shit vertically upward from a point 4 m above ground level…

A: since you have posted multiple sub parts of a question in a single pic, As per our guidelines we…

Q: A mass of 1 slug is suspended from a spring whose spring constant is 9 lb/ft. The mass is initially…

A: Given: A mass of 1 slug is suspended from a spring constant is 9 lb/ft.The mass is initially…

Q: Initially stationary, a train has a constant acceleration of 1.8 m/s2 How far it travel after…

Q: Use differentials to estimate the value of V1.3. Compare the answer to the exact value of V1.3.

Q: An elementary reaction is generally expressed as: dC, = -kC," dt where A is the species being…

A: Given : Elementary reaction is dCAdt = -kCAn. Decay is 1st order reaction, so n…

Q: dv dt = −kv2 An object moving through the water has an initial velocity of 40 m/s. Two seconds…

A: As the given differential equation is: dvdt=-kv2 Given conditions are: t=0 , v=40 mst=2s, v=30 ms…

Q: A circle has a radius of 5 cm jf the radius is increased by 0.l mm., what is the estimated increase…

Q: Write the differential formula that estimates the given change in volume or surface. Then, use the…

Q: The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.04…

Q: A ladder 25 ft long rests against a vertical wall. If the bottom of the ladder is sliding away at a…

Q: 1. If a stone is thrown vertically upward frosthe surface of the moon with a velocity of 10 meters…

A: Follow the procedure given below.

Q: A particle is moving such that its position after t hours is s(t) =- -measured in meter. 4t +1 Find…

Q: Use differentials to find the approximate value of y: (2x – 1)* when x = 0.98. O (E) None of the…

A: Given :f(x)=2x-14x=0.98

Q: 1. An arrow is shot vertically up into the air with an initial vertical velocity of 60 m/s, and its…

A: Given; Initial velocity=60m/s h=-5t2+60t.

Q: The curved. surface of a rod of length (l) is against the flow of heat. If bot of ends of the rod…

A: Given heart equation is ∂2u∂x2=1c2∂u∂t Since c2=1 So heat equation will be ∂u∂t=∂2u∂x2…

Q: Write a differential formula that estimates the given change in volume or surface area. Then use the…

A: S=4πr2 Differentiating with respect to r, we get ⇒dSdr=4π2r⇒dS=8πr dr Now when radius changes from…

Q: write a differential formula that estimates the given change in volume or surface area. The change…

A: It is given that, the change in lateral surface area (S) of a cylinder when the height changes from…

Q: ht h(t), in feet, of an airborne tee-shirt t seconds after being la ld a tee-shirt be airborne if it…

A: The height h(t) in feet, of an airborne tee-shirt t seconds after being launched is approximately…

Q: The base of the Great Pyramid at Giza is a square that is 20 m on each side. (a) As illustrated in…

A: Answer is mentioned below

Q: Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm…

A: Our Aim is to find the amount of paint required to coat thickness of 0.04 cmby considering a…

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

A: We have to estimate the change in volume of a cube. And given that the side length changes from 7 to…

Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive…

Q: The base of the Great Pyramid at Giza is a square that is 230 m on each side. (a) As illustrated in…

Q: Use differentials to approximate the quantity 3 √7.8 (The cubes root of 7.8)

A: Given:

Q: 2. A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

A: Given, A ball 6 inches in diameter is to be covered by a rubber material which is 3/16 in thick.…

Q: A ball is thrown straight up from the ground. If the ball is to reach a max height of 64 feet, what…

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15 m/ s , its height…

A: Given that a rock is thrown vertically upward from surface of Mars with velocity 15 m/s. Its height…

Q: in a time of t seconds, a particle moves a distance of s meters from its starting point, where…

Q: Number 1

A: Use below steps to obtain the desired result: -Let C(t)=the amount of dye(in grams) for any time…

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: write a differential formula that estimates the givenchange in volume or surface area. The change in…

A: a) To write the differential formula which gives the change in volume of a right circular cylinder…

Q: The velocity, v m/s of a ball thrown directly up in the air is given by ? = 20 − 10?, where t is the…

A: Soln :- V = 20-10t The time (t) when V is between 5 and 15 m/s.…

Q: The area of a circle increases at a rate of 5 cm2 /s. a. How fast is the radius changing when the…

A: Definition used - Area of the circle - A =πr2…

Q: write a differential formula that estimates the givenchange in volume or surface area. The change in…

A: Given: The volume of a sphere having radius r is given by V=43πr3 The radius of sphere changes from…

Q: write a differential formula that estimates the given change in volume or surface area. The change…

A: Provide the function as shown below.

Q: 5) Approximate the values by using differentials: a. V99 b. e0.1 c. 2.015

Q: What is the position at time t of a car that is accelerating at a rate of 5 meters per second…

A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)

Q: A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

A: Consider the shape of ball is spherical without any distortion. Then volume of ball V=43πr3…

Q: Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. In…

Q: A man 1.8 m. tall is walking at the rate of 1.2 m/s away from a lamp post 6.7 m high. At what rate…

Q: A particle that moves along a straight line has velocity v(t) = t?e meters per second after t…

A: The displacement -velocity -time equation is given by, dsdt=v(t) The displacement during the first t…

Q: 21. If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 m/s,…

Q: r. Using differentials, approximate the percent error in computing the length of the hypotenuse.

Q: The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.04…

A: We need to find out the possible error in the volume and also in the surface area and also the…

Q: An object with an initial velocity of 10 m/s undergoes an acceleration of a(t) = 6t + 6 m/s“, t…

A: the equation of acceleration is given by to find the equation of velocity take integration

Question

Help me solve this please... differential calculus

Each side of an equilateral triangle measures 3cm, with a
possible error of 0.1cm. Using differentials, estimate the
relative error in the area of the triangle.
O 0.0433
O (E) None of the choices
O 0.43
O 0.075
O 0.67

Use differentials to estimate the amount of paint needed
to apply a coat of paint 0.05 cm thick to a hemispherical
dome with diameter 50 m. Estimate the relative error in
computing the surface area of the hemisphere.
O 0.2
O 0.02
O (E) None of the choices
O 0.002
O 0.00002

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Numerical Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.