Two force vectors act on an object and the dot product of the two vectors is 20. If both of the force vectors are doubled in magnitude, what is their new dot product?

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: 5x S dx -S Insdx 4-5x+1 4- 5*+1 - -5".5 Ins rt du -t In clns) sns dx

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Q: alcuTUS and 71TIany ti 10. Use the ɛ -8 definition to prove the following limit. x2 -2x 8 lim = 6 x-...

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Q: +o0 S 13 In n n=1 Determine whether the sequence converges, and if so find its limit. If the sequenc...

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Q: Physically, integrating f(x)dx means finding the area under the curve from a to b area to the left o...

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Q: The high and low tides for a small fishing dock are listed as Low 8ft at 3:00AM, High 15ft at 12:30P...

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Q: Consider the functions z = -8 ex In y, x= In (u cos v), and y =u sin v. dz as a function of u and v ...

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Q: Evaluate the following integrals: dx 1. Vzax-x2

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: "sin²(x) + sin(x) os²(x) To evaluate the -dx using basic formula of integration (without using subst...

A: Let's find. 

Q: 6. The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does...

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Q: Draw a tangent line at a given point on the graph.

A: Here we have to draw tangent lines at a given point on the graph. 

Q: 1 ; -54 (а) Evaluate lim f (x) if it exists. State your reason(s). x→4 (b) Prove that f (x) is not c...

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Q: Let f(æ) (3- 2æ) 3. 2x)* f(r) has one critical value at A = For a A, fx) is Increasing Decreasing

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Q: " sin²(x) + sin(x) xp- cos²(x) To evaluate the using basic formula of integration (without using sub...

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Q: What is range of function f(x) = x-1 which is defined everywhere on its domain? * (-00, 00) – {0} (-...

A: Topic:- range and Domain of function  

Q: (sin 20+1)d0 4. S sin²0+0

A: Given: I=∫(sin2θ+1)dθsin2θ+θ

Q: Question #3 a) Find the x-position of all critical points for f(x)= 4x' – 15x² – 18x +1 (Show work, ...

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Find the centroid of the region bounded by the graphs of the functions y 7x2, y = x? + 4 The centroi...

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Q: x^2y'-2xy=x^4+3 y=2 solve using linear equation (dif eq)

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: We use ratio test for absolute convergence. Follow 2nd step.

Q: 9. Prove the following algebraic identity: (a - b)(a? + ab +b?)=a' -b'

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Q: (F+2)y+(F-12)x+2z 3. Draw the graph of the linear equation: = 4z + 7. %3D (K+2)

A: Solution is here

Q: From a.b = a.c it may be concluded that b = c. But this is just one of three possible solutions. Fin...

A: topic - vectors other solutions are a=0 and a is perpendicular to b and c

Q: 2t 21. f(1) = 2 + Vi 23. f(x) B+Ce*

A: Find your answer below 

Q: By 2 Cas X the Same. way prove that

A: Prove that J-12x=2πx cosx  

Q: goneral the different equatón of (i'ela_ y) de o xydy .o find the so lution of +

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Q: Find the indefinite integral. sin 60 v cos 60 de Step 1 To solve the integral | sin 60 v cos 60 d0, ...

A: We can solve the indefinite integral as below.

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: consider numerator series : 3,4,5.........we can re write this as 2+1, 2+2, 2+3 ,............since n...

Q: Let f and g be functions that satisfy f′(2)=8 and g′(2)=7. Find h′(2) for each function h given belo...

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Q: y= Sn (tan (8x) ニ

A: A detailed solution is given below

Q: #24 and 26a

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the ...

A: See the details solution in below

Q: Determine f (x) given that f'(x)= 16x-9x-x.

A: Let's find. 

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Analysing the sequence we can see: Numerator of the sequence is 9 in every term.            Numerato...

Q: Let f(x) = x(x-4). (a) Find the critical numbers of the function f. (Enter your answers from smalles...

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Q: If F is a continuous on the set of real numbers, then SxF(x)dx = x [Flx)dx A) True B) False

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Q: x + y sin 2 ) dx x sin 2 dy = 0 -

A: The solution is given in the next step.

Q: f(x) = vx – 1 at x = 5 %3D

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Q: Find all local extreme values of f(x) 6x2 16z + 60. The FIRST local extreme value, moving from left ...

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Q: 1) Evaluate the absolute extrema of the following functions on the given interval. S(x)=(x² +3x)³ [-...

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Q: of of and ду For the function f(x,y) = In (7x + 9y), find

A: The given function,     f(x,y)=ln7x+9y

Q: Find the points on the curve y = 2x' + 3x² – 12x + 1 where the tangent is horizontal. -

A: As per the instruction, we will be answering the first question. For (51), Given: y=2x3+3x2-12x+1. N...

Q: Evaluate: dx, xV16x2-5 141 arcsec V5 |16| 1 arcsec V5 V5 V5 Option 3 none of the choices 14| 1 arcse...

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Q: 4. Find the derivative of f(x) =x' +1

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Q: 8r*- V Let y=f (x) + C be the antiderivative of F (x) =- determine the value of C (use 3 decimal pla...

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Q: Applications of Maxima and Minima An open rectangular box with square base is to be made from 48 ft...

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Q: Consider the function f(x, y) = x2 + 2y2 – 4x – 4y, defined on R². Find and classify all the extrema...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: The following table shows the frequency of outcomes when two distinguishable coins were tossed 4,000...

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