Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i,j and k. (a) Same direction as – 3i + 5j. (b) Oppositely directed to 9i – 6j + 6k. V = (c) Same direction as the vector from the point A(-1,0, 3) to the point B(2, 2, 2). W 3=

Q: 1. x³ + y³ – 3axy = 0 2. x2 - 2xy + y? – 6x + 2y = 0 3. (x+y)2 2ay 4. x + yi = 9| 5. (x² – y?) = 4ay...

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Q: 1. Consider the differential equation 2y" + 7y' – 4y = sin 3x + 4e#/2. %3D (a) Determine the form of...

A: topic   -  differential equation 

Q: 7. The population of a certain city in Northern Ontario can be modeled by P(t) = in years from 2010....

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Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n3 + n2 + 1 n=1

A: Given series ∑n=1∞5n-cos2nn3+n2+1 now we use the limit - comparison test

Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is R6 (the Right-Hand...

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Q: Link between every sequences and this specific properties The sequence {1n\n² +n+5]} is A. geometric...

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Q: 2. y(x? + y? – 1)dx + x(x² + y² + 1)dy = 0

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Q: Consider the function whose graph is shown below. Determine if the function is continuous at the fun...

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Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

A: Given: yx+5+y'=0 ; y-10=1   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫1ax+bdx=1alnax...

Q: What is the laplace inverse of 5 - 3e-30 – 2e-70 že-7s

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Q: 4. Calculate the volume of the solid under the plane 4x + 2y – z = 0 and above the finite region R e...

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Q: If you have 140 meters of fencing and want to enclose a rectangular area up against a long, straight...

A: For constructing a wall, base of the wall can be neglected as it is the ground. So the other three s...

Q: Find the average rate of change of y with respect to x on the interval [1,4] where y=x^2+x+1

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a...

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Q: Directions: Evaluate the following limits using table of valuas. 2.) lim in 2t

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Q: 1 2 5. 2 . 5 +1. Va) da Find + C

A: Given: I=∫-5·x6+1x-2x6+1·xdx We know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule; ∫xndx=...

Q: 7. Se* (1 + 2e*)* dx

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Q: Find the Taylor polynomial of degree 3, centered at a 2 for the function f(x) = VI + 5.

A: We will find the Taylor polynomial. 

Q: メメ m FCX) メー」 メー メ 0.9 0.99 0.999 1.ool 1.01 flx)

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Q: 10) An area is approximated to be 14 in using a left-endpoint rectangle approximation method. A righ...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 1 x-intercep...

A: Given query is to find the rational function with given characteristics.

Q: Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

A: Question- Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

Q: 9.13 Solve: X1 + x2 – x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + x3 = 1 with (a) naive Gauss eliminati...

A: As per Bartleby guideline I can solve only one part , if you want other pls repost .

Q: Given that n21 and xn = V5n2 + 2n -3n 00 1. Will {xn}, be divergent or convergent? 2. Will E=1Xn be ...

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Q: Work of 1 Joule done in stretching a spring from its natural length to 16 cm beyond its natural leng...

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Q: 15. S 4cot 5x csc25x dx

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Q: III. MAXIMA/MINIMA: Locate the critical by the tests. 1. y = x³ – 3x² + 4x + 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Use the Comparison Test to determine if the series 5n cos 2n - n³ + n² + 1 n=1 converges or diverges...

A: Given query is to find series converges or diverges.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x=...

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Q: y=5Xy-2x

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

Q: Write an equation for the polynomial graphed below 6+ 5- 4 3- 2- 1- 4 1 -1- 2 3 4 -5 -3 -2 |-2- 3 - ...

A: Find your answer below 

Q: 7- I = [sec(2x) tan(2.x)dx cos(2x) 8- I = dx 4-sin (2x) csc (In(x)) 9. I: dx

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Q: 9 Find the length of the curve x = on 3sys5. %3D 27' 4y The length of the curve x = 9 - on 3sys 5 is...

A: We have to find arc length of give curve.

Q: Find the open intervals on which the function f(x) = ax? + bx + C, a0, is increasing and decreasing....

A: f(x)=ax2+bx+cf'(x)=2ax+bcritical point:f'(x)=02ax+b=0x=-b2aFor a>0,f is increasing on (-b2a, ∞)be...

Q: Find the absolute maximum and minimum values of the function on the given set R. (x,y)=(x-2)'+y'; R-...

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Q: Solve the given differential equation. x2y" – 6y = 0 y(x)

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Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: Let f(x, y) = x² vI Evaluatef(3, 4)

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Q: Find the length of the curve over the given interval. r = 7 - 7 sin(0) on the interval 0 < 0 < 2n

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Q: Example 5.4.3.1 1. Find the maximum rate of change of f at the given point and the direction in whic...

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Q: Solve the given differential equation. 25x?y" + 25xy' + y = 0 y(x) = ,x > 0 %3D

A: We have to find solution of given differential equation.

Q: Given f(æ, y) = a° + 3ry* – 2y%, find f-(x, y) : fy(x, y) = %3D

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Q: y²dx + x(x + v) dx = 0 LINE 1 let x= x2 , dx = yda + zdy y2 (xdz + zd) + xz (v2+)dx=0 v² (vdz + 2dv)...

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Q: The population of Angeles City in 1829 when it became a separate town from San Fernando is known to ...

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Q: Question 3. Let a € (0,1) and define f : T→R by 1 f(x) = sin(nx) na n=1 for all r E (-T, 7]. Prove t...

A: We have

Q: The concentration of a drug in the bloodstream C(t) at any time t, and hours, is described by the eq...

A: The concentration of drug reaches its maximum when                         C'(t) = 0find the values ...

Q: n +1 n/n+ Vn |sin n| n=1

A: Using p test and comparison test. 

Q: B. Differentiate the following using Chain Rule. 3.f (2) = (322- 플 + z)" (3=² – +=

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Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a trapezoid...

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Q: 19. Simplify the following expression fully. 1.1 11 d 20. Solve the following inequality. Write the ...

A: Topic = Algebra