S sinrdr In(cosr – 3) ° cosr -3

Q: Find the difference quotient and simplify your answer. f(x) – f(64) X – 64 f(x) = x2/3 + 1, X # 64

A: We know, (a²-b²)=(a-b)(a+b) (a³-b³)= (a-b)(a²+ab+b²)

Q: Solve the following initial value problem for y as a function of x dy 3+ /39 Vx² - 2- 25 = 1, x> 5, ...

A: Here we have to use the following formula 1)  ∫dxx2-25=ln x+x2-25+c2)  lnab=ln(a)-ln(b)

Q: Let s(t) = 6t – 27t² – 180t be the equation of motion for a particle. Find a function for the veloci...

A: We need to find velocity and acceleration function.

Q: 2 -a - 12a? + 70x – 60. Find all local extreme values of f(x) at The FIRST local extreme value, movi...

A: Given :- f(x) =(2x3/3) -12x2+70x-60 find:- All local extreme values of f(x)   

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y) = y² – x² s...

A: The given function is f(x,y)=y2-x2 And the given constraint x2/4 + y2=1.

Q: f(x) = (r - 4)/ +3(x – 4)/*. Label any intercepts, relative extrema, points of inflection, holes, an...

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Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for c...

A: The correct answer will be option (B). The given improper integral will converge by Direct Compariso...

Q: x² + y² = (3x² + 2y² – x)², (cardioid) 0, y 0.5 -0.5 0.5 1 -0.5

A: Giv:    x2 + y2 = ( 3x2 + 2y2 x )2     Point: ( 0 , 1/2 )

Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? %3D

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. Зд 2 = sin...

A: topic - sequence and series

Q: Evaluate the integral by first performing long division on the integrand and then writing the proper...

A: Given problem:- Evaluate the integral by first performing long division on the integrand and then wr...

Q: 19-42. Limit proofs Use the precise definition of a limit to prove the following limits. Specify a r...

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year ...

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Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y² + z...

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Q: 1. x3 + y3 - 3axy = 0 2. x2 - 2xy +y² – 6x + 2y = 0 3. (x + y)² = 2ay %3D %3D

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate propo...

A: The drug is administered at a constant rate of rand is excreted (throwing off) at rate proportional ...

Q: Select ALL possible answers. Which of the following is lare NOT true of the function f (x) whose gra...

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Q: Which of the following is the orthogonal trajectories of the family of curves y^(5) = kx^(4)? There ...

A: To find orthogonal trajectories in the curve substitute -dx/dy for dy/dx in the differential equatio...

Q: Ex. 124 A body cools from 75° to 55°C in 10 minutes in a surrounding of 31°C. At what emperature wil...

A: Given

Q: As you know, when a course ends, students start to forget the material they have learned. One model ...

A: The first thing you need to do is set up the problem relating the change in y to the quantities y,a,...

Q: To evaluate Je ?" sin(e²^) cos(e²«) dx, we let u=e A True B) False

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Q: (즈,-2)] ww m ie equation for this functic

A: topic - trigonometric equations

Q: Evaluate: thr (,5_ 3) ² dr A 2(r-3) 3 B +C 3 2(,5– 3) ? +C 15 4nr D 4.

A: This question is based on Indefinite Integral.

Q: Two concentric circles centered at O with radii r and R(r < R) are given in the picture: R What can ...

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Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

A: Given; A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec.

Q: 7–√7

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Q: -5 1 -2 0 3 4 12 -1 3 B| Find AB for : A = |1 B = 5 4

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Q: If F(x) = |"f(t)dt then by the -5 Fundamental Theorem of Calculus, we have F'(x) = f(x) Select one: ...

A: Given that Fx=∫-5xftdtTo prove :F'x=fxSolution if Fx=∫hxgxftdtF'x=g'xfgx-h'xfhxFx=∫-5xftdtF'x=1.fx-0...

Q: Find the angle 6 between the vectors. u- (1, 1, 1), v- (5, -4, 3), radians

A: Angle between the two vectors can be found by applying dot product of two vectors.

Q: Find the differential of the function. et e - 2 dy =

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Q: The area between y = x and r-axis on the interval -1, 1 with right endpoint rectangles is O underest...

A: We need to choose correct option.

Q: D+ E(x – 2) + F(x – 2)² + G(æ – 2)³ -

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Q: 100 4. If En=1 an converges absolutely, then n=1 an converges conditionally (C). 1 For p > 1, the ro...

A: Theorem : If the series ∑n=1∞|an| converges, then the series ∑n=1∞an also converges.                ...

Q: An airplane is flying on a horizontal path at a height of 3500 ft, as shown in the figure below. At ...

A: The solution of the problem is given in the next steps.

Q: when (x,y)#(0,0) then, of f(x,y) = when (x,y) = (0,0) %3D show that +(x,y) tunetion is continuos at ...

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Q: 1. If {an} converges, then {an} converges (C). An+1 Suppose that limn→ 00 1n|= . Then E1 n2"a, conve...

A: We have to determine whether,  1. If {an}  converges, then {an2} converges. True /false? And  2. If ...

Q: Write the equations in cylindrical coordinates. (a) 2x2 - 5x + 2y2 + z2 = 7 8,2 +z? – 5r cos(0) =7 (...

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Q: Find an equation of the tangent line to the graph of the function at a given point. Note: Do not use...

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Q: 31 'dt = +C 3lnz A True B False

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Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

Q: The polar coordinates of a point are given. Plot the point. (2, x/2) y

A: Given,           The polar coordinates of a point is 2,π2.To find : The corresponding rectangular co...

Q: For a continuous function f(x) on the set 2 [- 5,2], the net area Tx)dx must be -5 always positive S...

A: The given question has been solved in detail

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

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Q: Use traces to graph and name the surface

A: The given surface is: x24-y29+z216=1...(1)

Q: Find three positive numbers whose sum is 100 and whose product is a maximum.

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Q: 1. Use f(x) = x - x² +: +x and g(x) = 2f (x+1)+3 to do the following: a) Obtain a graph of fx) using...

A: As per the bartebly guidelines one question having 3 subparts are only to be solved. Please resubmit...

Q: - In²(Ine*) dx A In²x B B Inr Ine D Inx2 E) None

A: topic - definite integral

Q: An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole...

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Q: 3(r-4) Vx+5 x-4 3-Vx+5 To evaluate: The value of lim

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