Find:  ∫sin(3x) cos(6x) dx.

Q: Give the VALUE only. No need to inclu unit. *

A: Given: s=24t+10t2

Q: Evaluate the following integrals: (a) / dx V2x2+1 (b) / sin(In(x)) dx (c) S(x² + 2x)e2* dx

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Q: 2x +1 J (3r – 1) ( + 2x +2) Evaluate: -dx F (z) = 2 In (|3r - 1|) + In (x² + 2x + 2) – 4 arctan (r+…

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Q: y" + 4y" + 4y' = 0. %3D

A: Follow the procedure given below.

Q: Ql Find Ax

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Q: In fx³Vx²-62 625 dx , if we let x = 25sece , then dx =25secede. True False

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Q: integral is true or false: 3 dxdydz = 72. 0. 1 -3 Select one: Truo

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Q: Evaluate the following and post your answers in t (Activity 2.1) 1.Sdz 2. Sa dx 3. S(7y6 + 8y3 –…

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Q: Select as many answers as possible. * Find the absolute extrema of the function 2/3 f(x)=(x+1)* in…

A: f(x)=(x+1)(2/3)    ,    [-2,1] f'(x)=2/3(x+1)(-1/3) At critical points f'(x)=0 2/3(x+1)(-1/3) =0…

Q: Question 5 x² – 25 The antiderivative of - dx is x2 – 25 – sec-lx+ C. True F False

A: ∫x2-25xdx

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: Question 4 -e-*) dx Evaluate: A '+C 2 B cosh x +C sinh x +C D – sinh x +C E None (F -cosh x +C 2

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Q: Find the equation of the tangent line to the curve y =4x-8 at the point (3.-2).

A: Topic = Derivative

Q: Draw the graph of the following relations and/or functions. Make sure that all "important" points…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: If the region R is bounded between two circles 961 x² + y? = 4, x² + y? then we have: 2л 3 sin(Vx2 +…

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Q: Find the derivative for each function be low at x=1 a) flac) 6) fla) = 2(x-1)5 %3D Vox2+1) e ) fx) =…

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Q: A line with positive slope passing through (-1, 1) and intersects the parabola y = x² at the point P…

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Q: Find the general solution of the differential equation. у" - 400у %3D0 ... y(x) =

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Q: Work problem 2 " ) You must provide clear and detailed solutions for each of the following…

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Q: Consider the discrete time dynamical system 5x1 . This DTDS has 3 fixed points. Choose the correct…

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Q: S sec?x csc²xdx O None of the choices tanx + cotx + C O - tanx + cotx + C O - tanx - cotx + C O O

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Q: cos(x) 1- cos(x) by miscellaneous substitution, the substitution z=tan In solving the antiderivative…

A: Here we have to use the subsitution.

Q: (z*sin - 2° cos 2y cos r2 y? dr+2xy cos ,dy = 0.

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Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily total…

A: In this question we have to find how much is the daily maximum profit ( in dollars).

Q: In XVX2-625 dx , if we let x-25sece, then dx = 25secede. A True B) False

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Q: Eind the volume of the solid genrated By hevolziay the region bounded by the curve the. line y-2at…

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Q: 5 – 2x dx V5 + 4x – x² Hint: 1+4 = 5

A: To integrate the given function.

Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

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Q: 58. Particle Motion The position of a particle as it moves along a line is given by s(t) = – 12r +…

A: Given,           The position of a particle as it moves along a line is given by…

Q: Find the derivative of the function f)= [sec() 6 sec-1 xVx2-9 1 sec x Vx2 -9 O 3 sec-G) 3. xVx2 -9 3…

A: In this question we have to find the derivative of the given function.

Q: x dy Q33. Solve the differential equation = 3x dx (a) y =+ ce 5 (b) yà = +ce 5 +ce 5 (c) yš = Vx +…

A: To solve the differential equation xy-23dydx+35y53=3x.

Q: dy Find if yJx-9 =Xyt2 %3D

A: we have to find dy/dx

Q: 5xy = 4x²z – 3yz²; yx and yz- %3D Z.

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Q: Use two iterations of Newton's Method with initial guess xo = to approximate the solution of f(x) =…

A: We have to find the value of x2.

Q: 1 In solving the antiderivative of f(x) = 2 - sin(x) by miscellaneous substitution, the substitution…

A: Here we have to use the subsitution.

Q: Question 7 dy = 2/y- 5In|Vy+ 5| + C Vy+5 T True F False

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Q: Which of the following evaluates the double integral xy dA,

A: We can solve this as follows:

Q: S xdx can be solved by either algebraic subsitution or integrataion by parts. Vx- 1 A True B False

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Q: tan5 e -y secseс е-У 9. S -dy ey

A: Since, the student has asked to solve question number 9, so we are going to solve only question…

Q: irvature and the radius of curvature at the stated poi r(t) = 6 cos(t)i +6 sin(t)j+ 7tk; t= 2 r the…

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Q: 2. Suppose that the edge lengths r, y, and z of a closed rectangular box are changing at the…

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Q: x² + 64 Using trigonometric substitution, given -dx, the simplified form of the integral is: x2 sec³…

A: Given: ∫x2+6464dx

Q: An astronaut drops a hammer from rest a vertical distance of 2.0 meters above the surface of the…

A: Initial velocity of the hammer, u = 0 m/s Vertical distance above the surface of the moon from which…

Q: Find dy dx 1-Ln("+さ)=かがとx:ッ) 2-y=(1+x*)

A: As per bartleby guidelines we only give first question answers.

Q: Give the parametric and symmetric equations of the line that passes through the point (4,-3, 5) and…

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Q: 9 – 4x² -da | Evaluate: (A) f (x) = V9 – 4x² + 2 sin () +C B None of the given choices f (x) = /9 –…

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Q: Question 13 2 ydy if we let y=z+ 4, then the new integral becomes - у-2 dz In z+ 4 - 2 T True (F)…

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Q: Find the inte gral. Box Final Answer. For the definite integral, give the excact answer only dx

A: Answer is in below steps.

Q: smoving along the graph of the given function at the rate ax/dt. Find dy/dt for the given v - = 2x +…

A: Given query is to find the value of indicated derivative.

Q: Plot the set 1,0, on the number line. Round to the nearest tenth where applicable. Answer How to…

A: We can plot the points on the number line as below