Q: An engineering instrument is able to measure the side of a square to within ±0.05 mm (dr). First,…
A: Assume the area to be A and the side length be a. Use the derivative to determine the error dA for a…
Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…
A: One side of the right triangle is measured as 9.5 inches and opposite angle is equal to 26.75° with…
Q: Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.06 cm…
A: Given information: The diameter of the hemisphere is 52 m that means the radius is 26 m. Formula…
Q: Use a linear approximation to approximate √48.
A: Here we have to find the square root of a number, so we take function f(x) = sqrt(x). The linear…
Q: What are the formulas for differentiation and integration?
A: Differentiation formula: There are many formula available in differentiation. few of them listed…
Q: Use differentials to approximate the cube root of 0.009.
A: Approximate 0.00913
Q: Show that at some instant during a 2-hour automobile trip the car’s speedometer reading will equal…
A: Consider the formula for the average speed.Average speed is overall distance covered over the period…
Q: A light is hung 6 meters above a straight horizontal path. If a man 2 meters tall is walking toward…
A:
Q: 3. What is the velocity after 7 seconds?
A: Explanation of the answer is as follows
Q: Use differentials to estimate (2.03)4
A: Given: To find differentials to estimate (2.03)4
Q: Use differentials to approximate the value of √81.1 .
A: Use differentials to approximate the value of √81.1 .
Q: pimplicit derivativeg
A: we have to find the derivative of the given implicit function
Q: Find 49 by implicit differentiation if
A: differentiate both sides with respect to p and get the solution in 2nd step.
Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cmand height 12…
A: Given : Diameter of tin = 8 cm. Height of tin = 12 cm. Thickness of tin = 0.04 cm. To estimate…
Q: /8.9
A: Given : 8.93
Q: Approximate to 3 decimal place accuracy
A: Maclaurin series can be given as below : take
Q: Use differentials to estimate the amount of metal in a closed cylindrical can that is 14 cm high and…
A: *given:- radius of the cylindrical can, R = 6/2 = 3 cm height of the cylindrical can, h = 14 cm
Q: 3. Use differentials to estimate the value of 10 - (0.98) correct to two decimal places.
A: Please see the below picture for detailed solution.
Q: Has this been rounded of to 3 decimal places? or it originally has 3 decimal places?
A: A partial derivative of a function of several variables is its derivative with respect to one of…
Q: Approximate using differential √627( answer in fractional form)
A: Let y=f(x)=x4where x=625 & ∆x=2
Q: Write the differential formula that estimates the given change in volume or surface. Then, use the…
A: Let y=f(x) be a differential function. differential dx is an independent variable. the…
Q: - An object travels 8 miles in 20 minutes at a constant speed. What is the obiect's speed in miles…
A: Object travels 8 miles in 20 mins 20 mins = 20/60 hrs = 1/3 hrs Then speed = dist / time
Q: use trapezodial rule and round to six decimal places
A: Given: ∫1410lnxdx , n=6 To find : Value of integral using trapezoidal rule round to six decimal…
Q: Explain why you can omit the constant of integration when finding an integrating factor.
A: Constant of integration is omitted while finding the integrating factor because when the integrating…
Q: Find the time (ronnd to two decimas places) when bacteria count reach 6752.
A: Given:
Q: se Newton's Method to approximate 76 correct to six decimal places.
A: Given: 764 Formula used: xn+1=xn-fxnf'xn
Q: Use differentials to approximate the value of: 26
A:
Q: Eind to approximation to Jas corect decimal an three places
A: The given expression is 253. Let y=x13, where x=27,∆x=-2 as 25=27-2. That is, y=2713=3 Obtain ∆y:…
Q: What is the velocity of an object falling from 6m high cliff?
A:
Q: Use Newton’s Method to estimate 3√25 to four decimal places.
A: We have to find: So we consider a function We know that: 27 is close to 25, so cuberoot(25) will…
Q: Use linear approximation or differentials (but not both) to estimate: cube root of 7.98 Is your…
A: I am going to solve the problem by using some simple calculus to get the required result of the…
Q: Use a linear approximation (or differentials) to estimate the given number. 99.8
A: To find √99.8
Q: How fast is the tip of her shadow
A:
Q: 5. Use differentials to estimate 3.99 + (3.99)3 correct to two decimal places.
A:
Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 11…
A: Let r and h be radius and height of tin can Then r varies from 4 cm to 4.04 cm and height changes…
Q: A $1500 washing machine in a laundromat is depreciated for tax purposes at a rate of $125 per yeaar/…
A: It is given that a $1,500 washing machine in a laundromat is depreciated for tax purpose at a rate…
Q: Suppose a tank contains 600 gallons of salt water. If pure water flows into the tank at the rate of…
A: Given a tank contains 600 gallons of salt water. Pure water flows into the tank at the rate of 7…
Q: Use differentials to approximate square root 24
A:
Q: Use a linear approximation (or differentials) to estimate the given number. 99.6
A: Given query is to perform linear approximation on given redical.
Q: Use differentials to approximate the quantity √99.7
A:
Q: Use newtons method to approximate a root of the equation e^(-x) = 5 + x correct to eight decimal…
A: Use newtons method to approximate a root of the equation e(-x) = 5 + x correct to eight decimal…
Q: What is the derivative of square root 2t?
A:
Q: Use differentials to approximate the change in the BMI when weight increases from 55 to 56.5 kg and…
A: Let's find.
Q: Find the approximate value of 4th root of 82 using approximate formulas. Round off your answer to 6…
A: We have to find the approximate value of 4th root of 82 using approximate formulas. 4th root of 82 =…
Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…
A:
Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 12 cm and height…
A: The volume of a cylinder is given by the expression . Thus the volume of a thin cylinder is obtained…
Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.04 cm thick to a…
A:
Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20…
A: Since volume is a function of both radius and height, therefore we will use method of partial…
Q: Use differentials to approximate the number 6.022 + 2.972 + 5.992. (Round your answer to five…
A: We are entitled to solve only one question at a time only, so we will answer only the first one.…
Step by step
Solved in 2 steps with 2 images