What is the difference between differential calculus and integral calculus

Q: Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high…

A: According to the given data the height and the radius (h, r) change from (60, 12) to (60.4,…

Q: What nature of Fundamental Theorem of Calculus helps us to evaluate the definite integrals?

A: Given: To explain briefly about What nature of Fundamental Theorem of Calculus helps us to evaluate…

Q: 14. Use differentials to approximate the value of V620 to five decimal places. (Note V620 = 5.)

A:

Q: Use differentials to estimate the value of V1.5. Compare the answer to the exact value of V1.5.…

A:

Q: List of formula for Integral calculus

A:

Q: Please interpret the physical case showing how to calculate

A:

Q: How are the limits of integration determined? Give examples.?

A: How are the limits of integration determined? Give examples.?

Q: How is Green’s Theorem similar to the Fundamental Theorem of Calculus ?

A: How is Green’s Theorem similar to the Fundamental Theorem of Calculus ?

Q: Write the differential formula that estimates the change in the volume look at the picture. Of a…

A:

Q: Did Charles Babbage used calculus (integration) in inventing computer?

A: Yes

Q: Use differentials to approximate the quantity. (Give your answer correct to 4 decimal places.) 101

A: Given,           The quantity is 101 .

Q: At a certain moment a race official is watching a race care approach the finish line along a…

A: Apply the Pythagorean Theorem,  x2+y2=L2 Differentiate both sides with respect to t,…

Q: Use differential to estimate the value of 124 and give your answer correct to 3 decimal places.

A:

Q: Using Differentials, approximate (4499)2-(401)2 AM

A: To approximate: 4.9992-4.012 Let, z=fx,y=x2-y2x0=5, y0=4 For the function z=f(x, y) at the point…

Q: total differential

A: Given: The function is z=x4 e3y To find: The total differential of the given function. Formula used:…

Q: water balloon is launched from a platform 96 feet above the ground, with an initial elocity of (20,…

A:

Q: ASK YOUR TEACHER ********** Use differentials to estimate the amount of metal in a closed…

A:

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

A: We have given; The formula to approximate by differential is;

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 a linear approximation (or differentials) to estimate the given number. (Round your answer to…

A: We have find the approximation of 3√65 Let us take f(x)=3√x Linear Approximation will be  L(x) =…

Q: The side of a cube is measured with a possible percentage error of ±6%. Use differentials to…

A: Given- dss=±6% To find- The percentage error in the volume by differential method. Concept Used- Let…

Q: Use linear approximation (or differentials) to estimate the given number. (Do not round your…

A: Here we use linear approximation (or differentials) to estimatethe given number (32.03)^4/5

Q: Carbon decays at a rate proportional to the amount present. The percentage lost is 5% in 150 years,…

A: Given: Carbon decays at a rate proportional to the amount present. The percentage lost is 5% in 150…

Q: The side of a microprocessor chip is measured as 0.9 cm, and later it is measured as 0.904 cm. What…

A: Solution:-

Q: Explain how it can happen that an object with negative acceleration could speed up.

A:

Q: The pressure difference of the two ends of a small pipe of cross-sectional radius x is given by P =…

A: Here in this question we have to find change in pressure across pipe given change in radius.

Q: The radius of a sphere was measured and found to be 14 inches with a maximum error in measurement of…

A: Radius of sphere given as r = 14 inch maximum error in measurement is 0.01 inch   volume of sphere V…

Q: Why does learning techniques of integration (calculus) important in today's modern world?

A:

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20…

A: Solution: The volume of the can is V=πr2h where r is the radius of can and h is the height of can.…

Q: Use a linear approximation (or differentials) to estimate the given number. Consider the linear…

A:

Q: How is integral calculus related to differential calculus?

A: Solution

Q: What is the amount of time required for overflow to occur? What is the amount of salt in the tank at…

A: First you have to develop the differential equations and put the value of time and get the answer.

Q: triple integral

A: We have to sketch the solid E then find the triple integral. It is given that the solid E is bounded…

Q: 5. Use differentials to estimate 3.99 + (3.99)3 correct to two decimal places.

A:

Q: 19. A rock thrown into a still pond causes a circular ripple. If the radius of the ripple is…

A:

Q: The edge of a cube of gold was measured to be 2.1 cm. From this value, the volume was found. Later,…

A: Edge of cube = 2.1 cm  Volume = a3 = (2.1)3 = 9.261 cubic cm

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

A:

Q: What is the procedure of determining the constants of integration?

A:

Q: How do the two versions of Fundamental Theorems of Calculus enable us to understand further…

A:

Q: √101

A:

Q: Which of the numerical differentiation methods do you prefer? Why? And which of the numerical…

A: The preferred numerical differentiation and numerical integration methods are described below.

Q: 1. The volume of a sphere is changing at 10 inches per second. How fast is the radius changing at…

A: i have solved question number 1 for next question please repost.

Q: Simpson's rule to calculate approximately the

A: simpson's rule,

Q: What is mean value theorem

A:

Q: What is differential calculus? And what is the best example to understand it?

A: Differential calculus: Differential calculus is subfield of calculus. In the calculus it has two…

Q: Use a linear approximation (or differentials) to estimate the given number. (Round your answer to…

A: Given number is 653. We have estimate the 653 by using a linear approximation. Take fx=x13 First…

Q: measurement of .1 cm. Use differentials to estimate the percentage error (to the nearest hundredth)…

A:

Q: 3 Find approximation a5 costect to an three decimal places.

A: We approximate the value by using differential. The answer is given as follows

Q: How can you apply integral and differential calculus in real life situations?

A:

Q: how to use the apr approximation formula

A: For finding approximatel formula