S(«,9) =7+3y Also, find the total differential of the function.

Q: Find the derivative of In(3t³ – 2t + 1) and then calculate S; + 3 dt (use integration by…

A:

Q: The length, width, and height of a rectangular box are measured with an error of at most 5%. Use a…

A: Differentiate diagonal and use error

Q: Use differentials to approximate the value of 52.1. 100+ 5ln5 50+ 6ln5 50+ 5ln5 2 100+ 6ln5 4

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Q: Use a linear approximation (or differentials) to estimate the given number.   sqrt(100.8)

A: Given that

Q: Use linear approximation or differentials to estimate the following

A: Solution: Consider the given number: 1000.033 Let y = x3 = x13 Differentiating with respect to x:…

Q: coat of paint of thickness 0.07 cm is to be applied uniformly to the faces of a cube of edge 40 cm.

A:

Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: From the given information, the length, width and height is 3 ft, 4ft, 5ft respectively. The given…

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: We have given that in the basketball game ,the ball travels the path given by y=2.15+2.09x-0.41x2…

Q: The length and width of a rectangle are measured with errors of at most 3% and 5%, respectively. Use…

A: Let the length and width of a rectangle are L and W respectively. Now, The length and width of a…

Q: The width and length of a rectangle are measured to be 3 m and 5 m, respectively. These come with an…

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Q: A 20 kg wagon moving at a speed of 0.5 m/s towards right collides with a 35 kg wagon which is at…

A: Solution:

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A:

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: Suppose the side length of a cube is measured to be 5cm with an accuracy of 0.1cm Use differentials…

A: Given that the side length of a cube is 5 cm with an accuracy of 0.1 cm Volume of a cube=side…

Q: Find the sdution of the. differential equation that Satisies the qven intal condition

A: We have to find solution of differential equation with given initial condition.Differential equation…

Q: The length and width of a rectangle are measured as 35 cm and 28 cm, respectively, with an error in…

A: To determine the maximum error in the area.

Q: The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then…

A: Let the side of the cube = s = 10 cmError in the side = ds = ±0.03 cmNow,Volume of the cube = V =…

Q: The length and width of a rectangle are measured as 25 cm and 36 cm, respectively, with an error in…

A: Given length of a rectangle, l =25 cm           Width of a rectangle, w=36 cm We know that,  Area of…

Q: An open cylindrical tank is to have an outside coating of thickness 2cm. If the inner radius is 6cm…

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Q: How is integration by substitution related to the Chain Rule?

A: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us…

Q: Use a linear approximation (or differentials) to estimate the given number. (8.09)2/3

A:

Q: Suppose the side length of a cube is measured to be 5 cm with an accuracy of 0.1 cm. Use…

A:

Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: Use a linear approximation (or differentials) to estimate the given number. (1.999)5

A: Given term is (1.999)5Let x = 1.999

Q: complete solution

A:

Q: Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by  N=…

A:

Q: The thickness of the shell is a = 0.7 centimeter. Use differentials to approximate the volume of the…

A: Volume of sphere V= 43π×r3 From given figure radius is 100 cm .

Q: he integra = 3/2 is dz Z-2

A:

Q: Find the total differential. z = 10x8y6 dz =

A: GIVEN: z = 10x8y6

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: Solution.

Q: -f integration for

A:

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

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Q: Does the differential dy represent the change in f or the change inthe linear approximation to f ?…

A: Given the differential is dy.

Q: Use differentials to approximate the value of (3.01)2 + 2(0.99) – 3 in four decimal places.

A:

Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

Q: The edge of a cube was found to be  60cm with a possible error of 0.1 cm. Use differentials to…

A: The volume of cube, V = x3, where x is the edge of the cube.

Q: Four positive numbers, each less than 130, are rounded to the first decimal place and then…

A: Let p,q,r,s be the four positive numbers and their product be w

Q: Find the total differential.

A: w=3x+y4z-9y

Q: Use differentials to approximate the value of s2.1. O 100+6ln5 4 O 50+5ln5 2. O 100+5ln5 4. O…

A:

Q: Use a linear approximation (or differentials) to  estimate the given number.  (1.999)4

A: Consider  1.9994

Q: I Eliminate the arbitrary constants 1. X = y=at + bt² - Int,

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Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm of the disk.

A:

Q: Four positive numbers, each less than 80, are rounded to the first decimal place and then multiplied…

A: Solve the given problem.

Q: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.2 cm. Use…

A: The given data is: Edge of the cube x=15 cmPossible error dx=0.2 cm

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: (a).            Volume of cube :                       V  =  x3                      dV  =  3 x2…

Q: Match the graph with the first order differential

A: In this question we will use basic concepts of calculus i.e graphing of differential equation.…

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…

A: Given,  The one side of a right triangle is 20 cm long and the opposite angle is measured as 30°,…

Q: The length and width of a rectangle are measured as 38 cm and 34 cm, respectively, with an error in…

A:

Q: the width and length of rectangle are measure in cm as 6 and 18 respectively with an error of at…

A: