Mark the critical points on the following graph.

Q: What is the magnitude of the resultant of the two force vectors shown in the diagram? (-2,3) 3- 2- (...

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Q: 2 y = | (x 3. 4x + 5) dx

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Q: dx (Be* a arcsin + C 4e-2x-25 ß Find : α + β +δ

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Q: Calculate I dx n=LobysimPsons4) rule

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Q: Eliminate the arbitrary constants y = Ce-3*sin2x + Cze¬3*cos2x

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Q: 1. dx (9+ e2r)

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Q: Eliminate the arbitrary constant y2 = C1x2 + C2x

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Q: 11. Evaluate f- 2 sin 3x dx 4+cos 3x a.) -2 In 14+cos3x| + C b.) 3 In 14+cos3x| + C c.) - In 14+cos3...

A: Solve by integration

Q: 1 Elminobe the arbitrary conetants Y- C,e COS 2X

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Q: Model the height h of a projectile as a function of the time t it is in the air, with h(0) as the in...

A: Domain in this context mean that the values of t which makes height greater than or equal to zero. S...

Q: dy 2y (х + 2)* dx x -4 х - 4 +

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Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

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Q: Let f (x) = V. Find the smallest number 6 such that if |a- 8| <8 then |f(x) - 2| < 0.1. Round answer...

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Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

A: The amount of loan she took P1 =  $30,000  The current loan amount balance P2 = $56,000   Percentage...

Q: Solve the differential equatons (9xy-2y2) dx - ( 6x²_xy) dy =0 4.

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Q: I Eliminate the arbitrary constants y = C,e -2x COs 2x + ce <-2% SIn 3X

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Q: Nightclub Management You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of h...

A: Let's find. 

Q: Find the area bounded by the indicated equations. y = x 5, x = -5, x = 1, y = 0 1 A B) 2604 15625 6 ...

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Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

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Q: y'-5y=x'e* – xe³* - хе

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Q: 3. lim cos X

A: Given: limx→0cos(x)   We know that; cos-θ=cosθ   Let, fx=cosx

Q: 2. y = (x² – 3)²

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Q: Use the difference a+1 an to show that the given sequence {an} is strictly increasing or strictly de...

A: The given sequence,      n7n-6n=1+∞

Q: a | sin(Inx)dx =x[asin(lnx) + dcos(Inx)] + C Find: a + B + 8

A: Here, to evaluate: I=∫sin (ln x) dx...(1)  

Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. No figure, no credit. 1. A gutter w...

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Q: 28. Evaluate f 5 sin 3x dx 2+cos 3x a. 2 In 15 sin 3x| + C b.- In 12+cos 3x|+C c. In 15 sin 3x| + C ...

A: Evaluate integral

Q: SOLVE THE DIFFERENTIAL EQUATIONS

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Q: 20. Let h be the function defined by h(x) : L, sin²t dt. Which of the following is an equation for t...

A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: From the given curves and the line bounded region is as shown below; Use the cylindrical shell meth...

Q: Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a s...

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Q: An+1 -to determine if the sequence an { Use the ratio is 4n + 6 J =1 strictly increasing or strictly...

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Q: Evaluate the following integral | sec(VT) tan(v) dæ

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Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =...

Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: Jnx 13. g(x) = x*

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Q: Find the complete solution of dy + dz = 3z'ydz

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Q: Consider the function f(x, y, z) = ln(z² + 1) + yx². a) Find the gradient vector Vf(x, y, z). b) Wha...

A: To find out the gradient vector.

Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*) 01=yt...

A: we have to find the solution of  given differential equation.

Q: Write the first five terms of the sequence, give the exact answer: n n + 23 n=1 Determine whether th...

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+5y+6z=33. Roun...

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Q: 8. 1 (b) 2 11k + 1 The series converges. eTextbo diverges. may or may not converge; it cannot be det...

A: A)∑k=1∞ 111k = 111+1112+1113+1114+.........+∞is the GEOMETRIC series with r = 111 &lt; 1As per the p...

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

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your...

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the constan...

Q: The graph of a function f is shown. Does f satisfy the hypotheses of the Mean Value Theorem on the i...

A: topic - mean value theorem

Q: ce the first five terms of the sequence: ? + 2n – n}+ ermine whether the sequence converges, and if ...

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Q: Consider the following sequence: {an} = {n – n² },=I Use an+1 an to show that the given sequence {an...

A: We have to find if the sequence is strictly increasing or decreasing.

Q: y- 2x = 3y - 2 %3D Oz= 3yIny +1+Cy Oz= 3lny +1+ Cy Oz = 3y Iny +1+C Oz= 3y Iny + Cy

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Q: 1+cscx 7. h(x)=- 1-csc x

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

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Q: Ce* + 1 is 3x = dy/dx – 3y = -3 for any choice of the constant C. Thus, Ce* + 1 is a one-parameter f...

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