Let v = (-2, 3, 4) Calculate: v xi= ( || v xj= ( v x k = (

Q: In this question you must show detailed reasoning. Use the substitution u = 6x2 + x to solve the…

A: The given equation,      36x4+12x3+7x2+x-2=0

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Q: dx Evaluate: x/9x2 + 4 None of the above V9x2 + 4 + 2 In 4 f (x) = +C © f(x) = -2ln V9x2 +4 + 2 + C…

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Q: Find the indefinite integral using the formulas from Theorem 5.20. (Remember to use absolute values…

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Q: - 4 + e-6x - dx e4x 23)

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Q: 1+2 sec (Vx dx Į Va sin (/æ) tan (Væ) sin (/r sec (Vr and sec (Vx Hint: tan (yx =1. cos (Vx

A: Integration

Q: €x2 + 5х + C) dx %3D Зх + 5

A: Given: ∫32x2+5x+Cdx=3x+5

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

A: Follow the procedure given below.

Q: If R is the region enclosed by 36 – 4x? - 4y² = 0 and 2x + 2y?- following sets gives R in the polar…

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Q: S tan³ x sec x dx sec3 x - sec x + С none of the choices sec³ x + sec x +C 1 sec3 x + sec x +с В

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Q: evaluate intel9a) Evaluate intelga

A: Use property of integral.

Q: characters. * Determine the slope of the tangent to the curve y - 3xy +2x = 4 at the point (3, 2).…

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Q: Qel Fnd the lais Llim hth Cosh んう0 Sinshe-Cosl 2lim メa00 2x2_8

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Q: 9 – 4x2 -dx Evaluate: x2 (품) (A 9— 4г2 2.x sin- f (x) = +C V9 – 4.x2 - 2 sin- (4) + C 2r В f (x) =…

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Q: Su Find D. andR %3D

A: Domain is the set of input values for which the function is defined. Range is the set of output…

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

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Q: Suppose that y, denotes a nontrivial solution of the following second-order differential equation:…

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Q: X+ 6 2) lim х-6 (х-6)2

A: limx→6 x+6(x-6)2=6+6(6-6)2=120

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

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Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

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Q: In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution 2=tan 5…

A: Solve the following

Q: dx Evaluate: ²+4 x² + 4 – 4 + C +4 +4 | A In B None of the given choices in V x2 +4 - 2 + C C) x² +…

A: The integration of the integral is 1/[x sqrt(x2+4)].

Q: dy Given 4x -9y =1. Find by implicit differentiation. dx

A: Given 4x2-9y2=1 To find dydx

Q: Use a convergence test of your choice to determine whether the following series converges or…

A: Explanation of the answer is as follows

Q: a. Draw the funclion y=a/ %3D

A: Find your answer below

Q: [3-x 2 2 2 4 - x -2 -4 -1 - x. 0,2 O 0,3 O 2,4 O 1,3 1,2 O

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Q: olve the following Initial Value Problem: y" + y-6y 0, y(0) = 2 y (0) = -1. and %3D %3D %3D

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Q: Prove the identity. x2 - 1 tanh(In(x)) %3D x + 1 tanh(In(x)) %3D cosh(In(x)) eln(x) 2 -In(x) + e -1…

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Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.

Q: Q2 Find the limits 1- lim h +h cosh thcosh Sinh.cosh J4ズ メラ 2x-8

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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: DO NOT include spaces in between characters. And, DO NOT include dy/dx in your answer. dy given x =…

A: Given - x=sin(x+y) Now we differentiate with respect to x  d/dx (x)=d/dx (sin(x+y))…

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

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Q: Reduction of order can be used with yı = 2x to find a second solution for the %3D DE: 2x²y" – xy' -…

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Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

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Q: What is the derivative of f(x) =2cos (x)? %3D 2 cos (2x) O -2 cos (2x) O 2 sin (2x) -2 sin (2x)

A: f(x) =2cos2xdifferentiating w.r.t xd(f(x))dx=ddx(2cos2x)

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: S sec°x tan x dx +C + C sec³x + C

A: ∫sec5x tanx dx=∫sec4x (secx tanx) dxusing formula∫fn(x) f'(x) dx=fn+1(x)n+1 +cHere , f(x)=sec4x ,…

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

A: We have to state whether the given statement is true or false and its reason is given.

Q: Question 11 |In |25- x² -dx , if we let u=V25- x² , then udu= - xdx. T True F False

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Q: dy Given 4x -9y =1. Find by implicit differentiation. dx

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Q: Solve the following Initial Value Problem: y"+ 16y 0, 2 and y'()= 5. %3D

A: y''+16y=0Auxillary equation ism2+16=0m2=-16m=±4iGeneral solution isy=C1cos4x+C2sin4x

Q: 10x ME 10. 4+ 25x'

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Q: Q: Find the inverse (by any method you want) of the following matrix 31 1 4 3 1 3 4]

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Q: Let R be the region bounded by y =x+4, y=0, and x=4. Draw the region R, and evaluate the following…

A: Let's find.

Q: find s dx 1-C052X Scotcxldx

A: First solve then integrate

Q: Reduction of order can be used with 2x to find a second solution for the %D DE: 2x²y" – xy' - 2y =…

A: Given y1= 2x² is a solution of 2x²y''-xy'-2y=0....(i) So 2x²y1''-xy1'-2y1=0....(ii) Let y=…

Q: Question 1 1 In solving the antiderivative of f(x) = sin(x) + 3cos(x)+3 by miscellaneous…

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Q: (2х+3) dx (x2+3х-6)9

A: ∫2x+3(x2+3x-6)9dx=∫(x2+3x-6)-9 (2x+3) dxusing formula∫fn(x) f'(x)dx =fn+1(x)n+1+chere, f(x)=x2+3x-6…