Give the coordinates of the vertex of the graph of the function. Graph the function on a window that includes the vertex. Choose the correct graph of the function. The window is [-10,10,2] by [-10,10,2). OB. y= - (x+ 2)2 -3 The vertex is (Simplify your answer. Type an ordered pair.) Oc. OD.

Q: Given the closed region formed by the graphs y = 3x and y = x 2 in the first quadrant. If this regio...

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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: 6z² + 4z + 84 The partial fraction decomposition of can be written in the form of 3 + 2x2 + 16z + 32...

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Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y 1 1...

A: The region bounded by y=1+ln x3x between x=1 to x=2

Q: .............. ... ................... Calculate two iterations of Newton's Method to approximate a ...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate the following integral. dx x2 + 8 +8 Since the integral is not finite, the series is diverg...

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Q: s³(Ø) + sin(20) – 3 cos(0) cos F(8) de = J sin (ø) + 3 cos²(0) + 2 sin(8) – 3 Hint: Try substituting...

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Q: b) S sin 2 x cos x dx

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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: 1/3 Find the minimum and maximum values of the function y = (t – 3t²)" on the interval [-1,2] by com...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

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Q: For items 25 - 30, consider the frequency distribution of the Age of Employees of MTF Inc. Complete ...

A: We need to solve questions from 25 to 27.

Q: Find the derivatives for the following function: a. Z-f(x, y)-6e*+4x*y- 8lny ze Find the partial der...

A: z=6ex+4xy-8lny firstly differentiate partially w.r.t x∂z∂x=6ex+4y(1)-0∂z∂x=6ex+4y

Q: sin 0 = 1 to determine the limit. Use the relation lim tan 0 lim 0→0 0 cot 7O

A: We know that  limθ→0 sin θθ = 1 Also  limθ→0 sinaθaθ = 1   where a is any real number.

Q: Solve the initial value problem (x+ 2) y' = xy + 2y – 3x – 6 when x = 0, y = 1.

A: (x+2)y' = xy + 2y - 3x - 6  So, (x+2)y' = (x+2)y - 3(x+2)  So, (x+2)y' = (x+2)(y-3) 

Q: Find the tangent to y = x-x+5 at x = 5. The tangent to y = /x -x+5 at x= 5 is y = || 2.

A: As we know that, The expression for the equation of the tangent line is: y-y1=mx-x1 Where, ''m'' is ...

Q: If the nth partial sum of a series > an is n = 1 n - 7 Sn n + 7 find a, and > an n = 1 1 a1 = 4 14 a...

A: When you put n = 1 in an That will be incorrect as it states that for n ≠ 1 that's why your answer i...

Q: - 2200x A firm has the marginal-demand function D'(x) = where D(x) is the number of units sold at x ...

A: D'(x)=-2200x25-x2Integrating ∫D'(x) =∫-2200x25-x2dxD(x)=2200∫-x25-x2dx=1100∫-2x25-x2dxusing formula ...

Q: (x² +3x – 4)(x² –9) h: y=- (x* +x-12)(x+3)

A: The function is  y=(x2+3x-4)(x2-9)(x2+x-12)(x+3)  

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = 6t...

A: Given query is to find the critical number of g(t).

Q: plsease show step by step x - 3y-3z=-14 x-2y-2z=-10 -x+6y+3z=11

A: Given that: x - 3y-3z=-14  ...........(1)x-2y-2z=-10    .............(2)-x+6y+3z=11      ..........(...

Q: -3 if x<-1 Н: у%33-1 H: y = if -1<x<3 4 if 2<x

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Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: 3 a (a) In 64cl (b) In V/bªc²a! 2

A: Given that: lna=2, lnb=3, lnc=5.(a)lna3b4c1(b)lnb4c2a(c)ln(a3b4)ln(bc)1       NOTE: As per our answe...

Q: Evaluate the integral i. (1 – x2 – y?)dA - Where R is one-unit circle on the xy-plane.

A: Note:- These are multiple questions and according to our company law i can do maximum one question. ...

Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

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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

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: c) So lz² – 4| dx sin a d) L', dx da e) J JetItya

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Q: Find the solution for Bernoulli equation below. dy y ху? dx

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Q: cos -1

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Q: dy-yln(ye^cosx)dx=ysinxdx

A: Given:       dy-ylnyecosxdx=ysinxdx

Q: 4 dx

A: Use limit comparison test and p series test

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

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Q: V3 2dy 3 у\у2-25 y.

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Q: -dx

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Q: The following are qualitative variables EXCEPT A. plate number C. daily intake of chocolates B. zip ...

A: We are asked to find the which one odd

Q: Convert the following base ten number to a numeral in the indicated base

A: Given that: Base ten number is 128.

Q: In a free-fall experiment, an object is dropped from a height of h = 256 feet. A camera on the groun...

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Q: Find an equation for the functionf that has the given derivative and whose graph passes through the ...

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Q: write the standard form of the equation of the circle with the given characteristics. Center: (-1, 2...

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Q: EVALUATE AND SOLVE THE LINEAR DE. (D5 – 15D3 + 10D² + 60D – 72)y = 0

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Q: Write the correct derivative of the following. 1. - cos^-1 x 2. csc x + 3 sec x 3. x² tan x

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Q: Expand the expression. If possible, write your answer without exponents. 5/ 2 Vx -7 log 2 8+x2 2 x-7...

A: topic - logarithmic equations

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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: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of ...

A: Given:     f(x) = x2+2       Interval : 0≤ x ≤ 5       Rotated about x = 5