4[xn+f(xn=1)] p'(xn-4) criterion is x 0.102.

Q: dr ei+ 3t'j dt 9. Solve the following vector initial value problems: r(0) = 2i – 8j

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Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola  y...

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Q: Consider the function f(x) (-00, A, A, B), (B, C, and C, ) where A, and C are the critical numbers a...

A: Topic = Functions

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per mon...

A:

Q: Given that fCx) = x"hc) h'(1)=6 Calculate f'(-1) =

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Q: True or False: To evaluate the integral tan a sec" zdx, we save one sec z factor and use sec z = 1+ ...

A: Answer: TRUE

Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

A: Both the questions are based on partial fraction.

Q: Solve simultaneous equation dx/dt=x+y , dy/dt=4x+y , t=0 , x=2 , y=5

A: First I have written the differential equation into operator form and then reduce it into linear dif...

Q: Question 1 2dy Evaluate the integral Зу — 4

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: The region bounded by the curves,x=23y ; x=0 ; y=5

Q: 2x-2y* If f(x,y)={3x² +3y² if (x, y) # (0,0) then: m if (x,y) =(0,0) f(x,y) is continuous at (0,0) i...

A: To check whether the function is continuous or not. Given information: The function is f(x)=2x4-2y43...

Q: What is the particular solution to the differential equation with the initial dx condition y(-2) = 3...

A:

Q: -0o (x2 + 1 Evaluate the integral if it converges. Enter the exact answer, or enter na if it diverge...

A: The given integral,      ∫-∞+∞xx2+12dx

Q: Write an equation for the function graphed below 5+ 7 -6 5 -2 6.7 -2

A:   From the given figure, the vertical asymptotes are x=-3 and x=5, the horizontal asymptote is y=2 a...

Q: Compute the derivative: d I/ In(t° + 1) dt dx

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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: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: Convert polar equation r=cos3 θ to cartesian equation

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Q: where A and C are eritical nummb ers /- intervals (-0,A) (AB), (B.C) and (C) where A and c are eriti...

A: This question is based on application of derivative.

Q: What are the 5th roots of -1? Show complete solution

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Q: (1.5,2) 1.5 (0,7, 0.2Y f0.7,0.2) O.5 to - O.5 -0.57 ー15 0.5 1.5 (-1,2,-1) - 15 -2 does f have the ab...

A:

Q: Solve log3 (2 – æ) = 3. |

A: Solution: log3(2-x)=3

Q: (-) (4) Let an = sin for n EN = {1, 2, 3, ..}. sin-1 n+1 (a) Determine if the sequence {an}=1 conver...

A: Given problem:-

Q: х — х? -Зх- 2 dx - x' + 4x? - 4x | 4

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Q: Question 8 Evaluate the Integral J sin³y cosy dy. A - sin4y +C B -sin3y +C - sin*y +C -sin³y+C D

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Q: For which values of p does E converge? n=1 (n°+7)*5 (Use symbolic notation and fractions where neede...

A:

Q: True or False: If 3 dx%In|x-3|+B In|x+2|+C (x-3)(x+2) 2 then B =

A: true find integration use partial fraction  

Q: . Find (f o g)(x) for the pair of functions. f (x) = x – 3 g(x) = 6x + 8 (fo g)(x) =

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Q: +00 n Σ n² + 2-n n=1 WI

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Q: For the demand function x=D(p)=/100-2p : (a) The elasticity is E(p)= (b) When p=25 , the elasticity ...

A:

Q: Verify that the series n4 + 1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

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Q: Evaluate the integral x Inx dx Select one: Inz -+C Oi In r- a +c 0 in z- +c 3. a Ina O None of them ...

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Q: Sketch the level curves of the function f(x, y) = y – 3x² for c = 2. 8+ 5- 4 2 -6 -5 -4 -3 -2 -1 4 -...

A: Explanation of the answer is as follows

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

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Q: Let 5n? + 14n bn 3n2 An 3n4 5n2 – 19 Calculate the limit. (Give an exact answer. Use symbolic notati...

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Q: True or False: If dx =In|x-3|+B In|x+2|+C %3D (x-3)(x+2) then B = 5° Select one: O True O False

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Q: Solve the inequality. x-3 x+1 >0 O (-00, -1) (-00, -1) or (3, o) O(-1, 3) O (3, )

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Q: Write an equation in vertex form a(x-h)^2+k for the quadratic graphed below -5 4 3 -2 2 3. 4 -4 of y...

A: Find your answer below 

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x° +0.07x + 14x + 60...

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Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range 

Q: To evaluate the integral dx x+5x+6 we use the partial fraction decomposition of the integrand. Selec...

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Q: The integral dz is equal to 2e + C. Select one O True OFalse

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Q: Let R be the region in the first quadrant which is below the cur curve y = sin æ, above the x-axis, ...

A: We have to write the definite integral for the volume

Q: (3tanx-2cosy)sec²xdx

A: We will solve the differential equation. 

Q: (1) Prove that every perfect square is either a multiple of 4 or e more than a multiple of 4. [Hint:...

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

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Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

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Q: dx

A: Topic = Integration

Q: Express the definite integral as a limit of Riemann sums. Do not evaluate! Csc da 3

A: a=3, b=6For each  n (number of sub-intervals) , we get∆x=b-an=6-3n∆x=3nAnd for  i = 1 , 2 , 3 , . . ...

Q: 3 7 htx) 7 22 h'(x) 5 10 90. Selected values of the increasing function h and its derivative h' are ...

A: