dx а. x V4+ln?x

Q: Find the derivative of y=x^(7sinx). (x>0).

A:

Q: Solve the following initial valued problem x²y' + 2xy = e*, y(1) = 0

A: To find the solution of the given initial value problem.

Q: Find the area of the plane region bounded by y = x°, x = -2 andx= 2:

A: According to the company rule we can answer only first question and rest can be reposted.

Q: (D5 -D* – 2D³ +18D² –31D+15)y =0

A:

Q: Evaluate the integral. 4 (5 - t)Vt dt

A: The objective of the question is evaluate the definite integral.

Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: We have to test convergence

Q: 1. Find the equation of the normal line at a given point. y = - @ (5,1)

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Q: Assignment On Integral of Trigonometric Functic Determine the integral of the ff. functions. 1. S -…

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Q: x++ dx 1.

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Q: Of the Sollds gene by Volving the regions Doundeu by graphs of equation given iines. y = 3x2 y = 0 X…

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Q: Find curl (5z i+ 6x j+ 8y k). curl (5z i+ 6x j+ 8y k) = ( )i + (i Oj + ( i Ok

A: Given that,    curl5z i+6x j+8y k

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: Given: x=4y, x=-4y, y=1   From the given curves the bounded region is as shown below;

Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Solve for x. (Round your answer to three decimal places.) ex 8. %3D X =

A: We can solve by taking natural log both side and solve, so I'm providing hand written solution for…

Q: (y – cos?x)dx + cosxdy = 0 %3D

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Q: Which integral corresponds to the area of the shaded region between the curves y = -x? + 3x and y =…

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Q: Ty csc?y dy is equal to A —у сoty — coty dy - Scon dy у сoty coty dy с) -у соfу+ coty dy D) None E у…

A: Integrate by parts.

Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

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Q: ydx — хdу %3D у?dy

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Q: Evaluate the double integral. 7x sin y'dA; Ris the region that is bounded by y = x², y = -x', and y…

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Q: Find two positive numbers whose product is 750 and for which the sum of one and 10 times the other…

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Q: 3. Evaluate the integral 7/4 1 + cos²0 do cos²0

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Q: S- x³dx is equivalent Vx²-4 Using trigonometric substitution,

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Q: (-1)r+1. n=1 と(-1)"+1 n2 2]

A: Topic:- sequence and series

Q: Find the general solution of the following: 1. (4D2 – 4D + 1)y = 0 %3|

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Q: An antiderivative for is: 22 +81+20 1 O In + C I+8 ㅇ 올tan-1 () +C 금i미플의 O In 28|+ C O tsec- (4) + C

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Q: Find the coordinates of the centroid of the given figure. Each region is covered by a thin, flat…

A: Solved below

Q: How many arbitrary constants will be there n the general solution of a second order differential…

A: The number of arbitrary constants in the general solution of a differential equation is equal to the…

Q: dy + 2ху dx %3D

A: integrating factor method.

Q: Find the value of n in the following definite integral. So 4x° dx 1 Answer:

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Q: S- 3 dy 3y - sin n -1 4-9y2 3 A True B False

A: We have to find out

Q: integral

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Q: 29. Total cost from marginal cost. Sylvie's Old World Cheeses has found that its marginal cost, in…

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Q: 7) Last problem!!! I want you to compute both sides of the equation in the Divergence Theorem The…

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Q: 1) Use a double integral to find the area of the region enclosed by y= x² and y = 2x.

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Q: Which integral corresponds to the volume of the solid generated by revolving the region enclosed by…

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Q: What theorem is used to solve for centroid? Pappus O varignon's O Castiglliano's O Pascal's

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Q: function f has the following graph: 4- 3 2 1. -1 6 7. 8 -1 -2 Vhich of the following is true? O The…

A: Given query is to find the correct statement for the function.

Q: ired) and other rules; You can use technology

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Q: An arithmetic sequence has first term a = 5 and common difference d = 8. How many terms of this…

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Q: Find the exact area under the curve between the indicated values of x. y =x2 - 6x + 9; between x= 2…

A: Solution: ∫24(x2-6x+9)dx

Q: Determine if the following functions are odd, even, or neither. Provide reason. (a) f(x) = x² (b)…

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Q: Find dy for dx 1. e*y = e4x – e5y ху

A: exy=e4x-e5yDifferentiate with respect to yyexy+xexydydx=-5e5ydydx(xexy+5e5y)dydx=-yexy

Q: Find the tangential and normal components of the acceleration vector for the curve 7(t) = (- 3t,…

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Q: Find V. (V × F) if F(x, y, z) = sin xi + 8 cos(10x – 11y)j+ 3zk. %3D - V·(V × F) :

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Q: 3 dy Зу =-sin -1 2 - sin +C V4-9y2 3 A) True B) False

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Q: 5xdx 3. Find the integral (x-1)3 -5 a. 2(x-1)2 +C b. ++C -5 2(x-1)2 X-1 c. In () – in () + c )-In()…

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Q: Find the magnitude of vector AB. 1. A = (4, -3) and B 2. A = (-2, 11) and B = (2, 8) = (-8, 2) %3D…

A: