Approximately, using differentials, find the area of a circular ring with an inner radius of 30cm and an outer radius of 30.5cm

Q: fxe*dx хе Evaluate the improper integral:

A: This type of integration where there is two functions are present then we can calculate it using…

Q: PART I. DIFFERENTIALS 1. √101

A: We can find the approximate answer as below.

Q: (d) A window has the shape of a square surmounted by a semicircle. The base of the window is…

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Q: Integral of arcsin(t) (dt) using trig substitution

A: To determine the integral using trigonometric substitution.

Q: Find value of a&b without using integration by part

A: Given     To evaluate   a and b

Q: Find the 1st quadrant area bounded by y = vx – 2, X and x = 11 Provide a sketch; show 2 solutions…

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Q: calcule la diferencial df de la funcion F(x) =√x, deduce the approximations of √3,997 and √9,001 ,…

A: To solve the following approximations

Q: A trough with rectangular ends and is 200 meters long is half filled with water, density 9800N/ m3…

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Q: Use the differential dV to estimate the change in volume of a sphere when the radius changes from 9…

A: ddxxn=n xn-1

Q: A water trough has a semicircular cross section with a radius of R = 2 meters and a length of L = 3…

A: Consider the 2 dimensional view of the semi circular tank Let trough is located at 0,0First we…

Q: Estimate integal compasite. tropezoidal the Sint Using Yule. with h-0.25. Subject:. Numerical method

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Q: A right triangle's one side is identified to be 150 centimeters long, while the adjacent angle…

A: Given:  θ = π3±π60  radians ---------------------------------------------------------------- To…

Q: The horizontal distance or range (R) of an object thrown at an angle 8 from the horizontal is…

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Q: Compute the surface area of revolution of y=sinx about the x-axis over the interval [0,3π]. Surface…

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Q: Determine the following indefinite integral. Check your work by differentiation. (sec20+7) dt 0 Find…

A: As we know that te  The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx From the given problem: I=∫sec2θ+7dθ

Q: (a) Use differentials to find a formula for the approximate volume of a thin cylindrical shell with…

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Q: valeuate the definite integral Inx

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Q: How to identify if the problem is integration resulting to inverse trigo. or trigo. substitution.…

A: To give an example of the integration where trigonometric substitution is possible.

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: Given expression is √24.4

Q: How to compute for the differential volume of each coordinate system and its phase area?

A: Hints: We have to discuss that how to compute for the differential volume of each coordinate system…

Q: Determine the following indefinite integral. Check your work by differentiation. 5 Vx dx dx =

A: We have to solve

Q: Integrals of cot x and csc x Use a change of variables to prove that  ∫ cot x dx = ln | sin x | + C.

A: prove that ∫cotxdx=lnsinx+c we know that cotx=cosxsinx

Q: The possible error involved in measuring each dimension of a right circular cone is + inch. The…

A: The propagated error dV = V'(r)dr, here dr = +0.1 or -0.1 inch and r = 4 inches.

Q: QD: Use total differential to find the percentage error in calculating the area that cut from a…

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Q: Refor to Hhe imaga below EValuate the Particular soluțion differential equetion and find X when yeof…

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Q: Topic: Integral of Hyperbolic Function ∫(sinh(x) + cosh (x))^2

A: Given- ∫sinhx+coshx2dx To find- The value of the integral. Identity Used- The above integral can be…

Q: 2. The radius of a circle is increased from 3.50 to 3.52 m. (A = ar?) a. Use differentials to…

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

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

A: The volume of the hemisphere is: V=23πr3dV=2πr2dr

Q: Find the most general antiderivative or indefinite integral. Check your answer by differentiation.…

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Q: . Use differentials to approximate the value of v81.1

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: ∫ dx/(1-x2)sin-x lets substitute u = sin-x du/dx =1/(1-x2) du = dx/(1-x2)  ∫ du/u = lnu + C put u =…

Q: Solve using differentials:  A spherical balloon has a radius of 2 which changes to 2.1 when the…

A: A spherical balloon has a radius of 2 i.e r=2 which changes to 2.1 when the temperature rises i.e…

Q: The radius of a circle is increased from 2.00 to 2.02 m. a) Use differentials to estimate the…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: To Determine: use differentials to approximate the value of the expression.compare your answer with…

Q: exact equation and find its first integral.

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Q: PART I. DIFFERENTIALS Using differentials approximate the value of the following 5. √64.05

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Q: Find the area bounded by y = 0.5(x- 2)² – 1 and the X-axis from x-3 to x-5. Show the sketch with…

A: y= 0.5(x-2)2-10 =0.5(x-2)2-11 = 0.5 (x-2)22 = (x-2)2x - 2 = ± 2x =2+2    x~ 3.414orx =2-2x ~ 0.586

Q: AREA BETWEEN TWO CURVES USING DEFINITE INTEGRATION.

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Q: What is differential calculus

A: Differential calculus is a branch of mathematics that deals with rate of change of quantities.

Q: Selve following differential equa Hun the x*y dy

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Q: Use differential to approximate the value of

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Q: aluating line integrals previously taught. What happens?

A: Sol

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: Consider the function  y=x Let x=49, △x=-0.6 Then, y=49=7

Q: Find the sign of the line integral.

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Q: Find the most general antiderivative or indefinite integral. Check your answer by differentiation.…

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

A: Solution is given below

Q: Use Stokes's Theorem to evaluate

A: Given,          F(x, y, z)=x2i+z2j-xyzkS:z=4-x2-y2

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.