Reduction of order can be used with yı = 2x to find a second solution for the %3D DE: 2x²y" – xy' - 2y = 0. %3D Select one: O True O False

Q: Given the triangle 30 find the length of side x using the Law of Sines. Round your /36° 17° final…

A: Given,            The triangle is shown below :

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: Given that the tetrahedron enclosed by the coordinate planes and the plane 7x+y+z=4.

Q: Consider the parametric curve defined by x=3+5t and y=1+31 Over which values of , does the curve has…

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Q: A line is drawn through the point (6,4,2) perpendicular to the yz- plane. Find the coordinates of…

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Q: B. Evaluate the following 1 dx 2. 2 tan(x)dx 3.

A: We have to slove above question

Q: %3D /Q5) Find volume of body bounded by z2 +y2 + x2 = 4.

A: To find the volume of the body bounded by z2+y2+x2=4.

Q: "u,V.w are three vectors such that each is incined at an angle of 4 with the other two, and that lul…

A: To find the scalar product of two vectors with the given conditions.

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = 0

A:

Q: 3 3 25x ? 2 7x3 3 16х5 dx 5

A: use property of integral to solve this.

Q: 33 Vx2 f(x) = + Ve2x + 2x – In e, x # 1 TT Sin 2x - 1-x

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Q: Ql: Find the integration of : 1. S cos (3 sin x)cos (4 sin x). cosxdx

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Q: II. Multiple Choice: Read and understand the statements, then choose the correct answer. - Write the…

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Q: Q3) Find the Area bounded by the curves x and x = 2y – y².

A: Topic = Area Area bounded by curves is 13.

Q: Evaluate (s 2'ds Oa 2 1) In2 Ob. 2 (sln2 - 1) (In2)2 O. 2(sin2 - 1) (In2)2 Od 2° +1) In2

A:

Q: 8. (5x'-4x +8x) dx

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: dy Find given x' +y =8.y. dx Note: Enclose all terms in a parenthesis if either the numerator or…

A: Topic = Derivative

Q: To find the distance across a river, a surveyor choose points A and B, which are 232 m apart on one…

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Q: Let r(t) = (t2, 1 - t, 4t). Calculate the derivative of r(t) a(t) at t = 4, assuming that a(4) = (9,…

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Q: :Q: solve the following equations 2X-3Y+Z=-1 X+4Y+5Z=25 3x-4y+Z=2 x=8.7 y= 5.7 z= -1.3

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Q: Q3) Find the Area bounded by the curves y? = x and x = 2y – y?.

A: The given curves are; y2=x & x=2y-y2   Now find the point of intersection between the curve y2=x…

Q: | cos ?x sin'x dx can be evaluated by factoring sin'x as (sin²x) ²sinx and transf sin²x into 1-…

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Q: Eind the limits lim hth G h Sinshe-Go

A: We have to find the limit according to the given information

Q: A ladder 9 meters in length is leaning against a vertical wall on level ground. As the bottom end of…

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Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Q2) Convert the polar function r = tan20 to cartesian. %3D

A: Let's find.

Q: Please answer the question below: Explain in detail which test you are using to determine…

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Q: Q2) Convert the polar functionr tan20 to cartesian.

A: Here we have to convert the polar function r=tan(2θ) to Cartesian.

Q: Q2) Solve the D.E x²dy + (3xy- 1)dx 0 %3D

A:

Q: 2x + 1 -dx (Зх -1) (г2 + 2х + 2) Evaluate: F (x) = 2 In (|3.x – 1|) – In (æ² + 2x + 2) - 4 arctan (x…

A: A detailed solution is given below

Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y 9x² + 16

A: To evaluate: I=∫dx9x2+16 Substitute x=4sec u3⇒dx=43sec u tan u du

Q: Q4) Find plane area inside the polar function r = 2sin E-0) and outside T= sin in-e) in first…

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Q: Choose the suitable function y1, for the method of reduction of order, to find a second solution y2…

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Q: Qel Find the limis hth G8h alie んう0 2lim 土 2x2_8

A:

Q: Using trigonometric substitution, given (Vx+64 dx, the simplified form of the integral is: sec³ed®…

A: We have to check whether the given statement is true or false.

Q: Find the arc length of the parametric curve. x = e', y = et, z = v2t; 0<t < 7 %3D L

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Q: Q3) Evaluate triple integral S(x2 -y?)dz dx dy.

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Q: Use the Midpoint Rule for the triple integral to estimate the value of the intergral. Divide B into…

A: Note that, 0≤x≤4, 0≤y≤8 &amp; 0≤z≤4 generate the cube. And, the mid-points of the cube are:…

Q: 1. The graph of a function y = a/b(x-h)+k shown below. -1 -40 Algebralcally determine two different…

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Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y V9x² + 16

A: The given integral is y=∫dx9x2+16 We have to solve the integral using Trigonometric substitutions…

Q: 1 Evaluate: xInx In Oc -In 6 O d. In 6 l3.

A: The given problem is solved below in detail.

Q: We are told that the sand is falling onto the pile at rate of 9 cubic feet per minute. We want to…

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Q: *) dx Evaluate:

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Q: : / yº sech(e™mv) tanh (» ) dy 7lny Evaluate: @ -ch(7) + C None

A: Given problem:- ∫ y6 sech(e7ln(y)) tanh(e7ln(y)) dy

Q: Let y=f(x).Which of the following correctly defines dx [fk+Ax)-fw] a. lim Ax+xL Ax Ob. lim Ax+x…

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Q: Question 2 Evaluate: J y* sech (e m)tanh (e ) dy A sech (y7) + C B) None © -eh*(,) + C E

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Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = 9x2 + 16

A: We will use simple Integration rules to solve this question.

Q: Find the saddle pointis of the function f(x,y) = x° +y°+i y+4 Oa(5-1) Oc (4.0) & (4,0) Od(0.0)

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Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = V9x2 + 16

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Q: 3 3. Given the graph of the function ƒ(x)= (x+2) a. Give a step-by-step explanation of how to graph…

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Q: Evaluate f s 2°ds О а. 2"(sin2 - 1) (In2)2 O b. 2(sln2 - 1) (In2)2 O C. 2* In2 O d. 25 In2

A: