Find a point on the curve x³ + y = 11xy other than the origin at which the tangent line is horizontal. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (* , *).) The point's coordinates are

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Q: 3. [x*e"dx x'e

A: Given query is to find the value of the integral.

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Q: For the differential equation (D³ + D² + 4D + 4)y = 0 when x = 0, y' = -1, y" = 5 Find y when x = T

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Q: 1. Find the resultant of the vectors A and B. A = 8a, + 7a, + 2a, В - - За, — 8а, - ба, Draw the vec...

A: Given that: A→=8ax+7ay+2azB→=-3ax-8ay-6az

Q: Evaluate the derivative of the following function. f(x) = (2x)²x f (x) = (Simplify your answer.)

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Q: Example 19-24. Given log1, 654 = 2-8156, log, log10 658 = 2-8182, log10 659 = 2-8189, log 10 661 = 2...

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Q: solve the differential equation (x3+y4)dx+8y3xdy=0 when x=4, y=1/2

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line throug...

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Q: Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows. Let f(x) Va and f...

A: Solution is here

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Q: a. lim f(x) b. lim f(x) x→4+ c. lim f (x) 1. x-4 X→4-

A: Given query is to find indicated limits.

Q: Find the minimum and maximum values of the function y = 8/x² + 1 – 3x on the interval [0, 6] by comp...

A: Find maximum and minimum values of  y= 8√(x^2+1) -3x in interval [0,6] 

Q: 5-18 Evaluate the surface integral. 13. (x':+y') dS. S is the hemisphere x + y + 4, : 13. 167

A: Given:    x2 + y2 + z2 = 4       ,       z> 0

Q: dy Find the slope field of dr 6x using GeoGebra.

A: We have to find the slope field of dydx=6x using GeoGebra.

Q: ū = (-/3, –1) and w = (1, /3) E. |

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Q: D etermine if continuous f(x) = X-2 x² -14 %3D at x=2

A: Here we will check that given function is continuous at x=2 ,

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A: Check given differential equation is exact or not. i.e.    My = Nx

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: – 4 a (a) In 6-4c-1 (b) In Vb°c'a 'c...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = 9x...

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Q: Evaluate the integral. | 8xex dx

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Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: 13. Iff (u) = sec u , find f'(u) a. sec u tan u С. sec x tan x b. sec u tanu d. sec x tan x 14. Whic...

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Q: In (1+x) lim

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Q: What is the slope of the tangent line passing through y = x^2 - 3x - 5 at (-1, - 1)? Kindly show you...

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Q: Ex , Prx , fy, fyy, Pxy, fyx F(X, y) = %3D x +y

A: Given: f(x,y)=1x+y

Q: Find the values of c that make f continuous everywhere: ´x² – c² if a 9 smaller c = larger c = Use ...

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Q: tan'3xsec"X

A: LetI=∫tan33xsec43xdxI=∫tan23x.tan(3x).sec43xdxWe know that,1+tan2x=sec2x,I=∫-1+sec23xtan3xsec3x.sec3...

Q: Show that (1+:)'→e. as x → o, → e. HINT: Since the logarithm function has derivative 1 at x = 1, %3D...

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Q: Evaluate f(x – 1)Vxª – 4x – 2dæ -

A: Given:      ∫x3-1x4-4x-23dx      =∫x3-1x4-4x-213dx   substitute u=x4-4x-2          dudx=4x3-4→dx=14x...

Q: dæ + 2x +5/ x dt = 1 1 where: x (0) =0 dt

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Q: Solve the linear differential equations (D5- 2D3- 2D²-3D-2) y =0

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Q: 1 cosØ dø (7-sin²Ø

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Q: C. а, %3D 3, аn+1 2an ; untuk n > 1

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Q: Question Given f(x) = 3 fihd f (-4) using the definition of a derivative. I+2'

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Q: 1) cos- 1 2 3) sin-1 V3 5) cos-.

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as ...

Q: Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(æ) = x³. The...

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Q: A. Write A if the function is continuous and B if not. 1. f(x)- x2 +2x + 1 at x 2 %3D 2./(x) = x2-16...

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Q: Solve the following  complex numbers in their rectangular form: log(2+4i)((3.0642+2.5712i)(-2.0806+...

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Q: h(x) =x tan (2/x) + 8

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Q: Evaluate the definite integral. 4. x³ + 1 dx

A: ∫122x2x3+1dx  

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Q: Estimate the value of im (v?+x+2+x) X- -00 by graphing the function f(x) = V x² + x + 2 + x. (Round ...

A: Given f(x)=x2+x+2+x  

Q: Diego mixes together three types of vitamin tablets.  Each Super Vim tablet contains, among other th...

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the give...

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Q: . Find the area of the surface generated by revolving the given curve about the -axis. x = 9y + 1,0 ...

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Q: 10 [2 -3 ‚D= |9 4 12 C= -2 6 1

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Q: Evaluate f5(x?e-2a*+1 + 3)dx

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Q: Some integrals might seem complicated. But they will simplify significantly if you look at them in t...

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Q: Evaluate the integral. (Use C for the constant of integration.)   21z3ez dz

A: As we know from the integration by parts; ∫udv=u·v-∫v·du Given: I=∫21z3ezdz   ....1