Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(6,-5) sin = (6√61)/61 (5√61)/61 -(6√61)/61 -(5√61)/61

Q: Solve the following, glving the solutlons In the form ptqvr 6x +15 Rationalise the demoninator of th...

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Q: 14e" dx 1+ e20

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Q: If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+1) + C, find the exact value of k. 1 (A) ...

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Q: Find the radius of convergence and the interval of convergence. Σ k(k + 1) k=1

A: To determine: The convergence of the power series ∑k=1∞ xkkk+1 Concept used: Ratio test: R=limn→∞an+...

Q: Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduc...

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Q: Using the (e- 6) definition, show that f(x) = 3x – 1 is continuous at point x = 1.

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Q: 8. What is de x2+1

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Q: d) If the coefficients are rounded off of - 0.31x + 2.73 find the absolute and relative in y x + 0.3...

A: Find absolute and relative in y

Q: O : (2r-3)/ar- 12x²+ 7 – 2 im |2x*-3 + Vart- 12r²4 7|} +C V4r4– 12r2+7|}

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Q: Question 8 12x +1 dx. (2x- 1) (3x+2) Evaluate: 1 A (2x- 1) (3x+2)? %3D B) In (2x- 1)? (3x+2)| + C (2...

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Q: dx The integral can be re-written as (A) (2-2 V1-m ) lim m- 00 B none of the choices lim (-2+2 /1-m ...

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Q: 1 Use the Cauchy's integral test to show that Σ diverges n. In n. In In n n=2

A: Cauchy -Integral  Test series ∑n=1∞ an      converges if integral ∫1∞ f(x) dx finite and  diverge if...

Q: Let F = %3D So Use Stokes' Theorem to evaluate F · dī, where C is the curve of intersection of the ...

A: Here, the given function is F=xy,5z,4y To use Stroke's theorem: ∫CF·dr=∫∫S∇×F·N^ dA And, ∇×F=ijk∂∂x∂...

Q: Find the radius of convergence of the power series. (If you need to use oo or -co, enter INFINITY or...

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Q: Given that the taylor series at 0 for 1/(1-x)= 1+x+x2+x3+x4+....+xn+... a) Find the taylor series a...

A: We have given the taylor series for11-x=1+x+x2+x3+x4+ ⋯ +xn+⋯

Q: 30 3 120 x f(x) = 2x-3 X + 1 n = 4 3 Pa(x) = 3 1+ x -x+x -3+ 5z- 522 +5-54 | Solution or Explanation...

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Q: Solve the following ODE. y" + 2y" – y- 2y = 9 - 123 NOTE: Write arbitrary constants as c1, Cg, and c...

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Q: y' + y = 5 sin(2x)

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Q: Vx+11-4 (b) lim- x- 5 X-5

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Q: Evaluate: lim 2 tan (r – 2) sin(x – 2)ª

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Q: Find the equation of the tangent to the following curve at the point where x = 1 y=Vx

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Q: Consider the following sequence: +00 4" {a,} = an+1 to show that the given sequence {a,} is strictly...

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Q: Using Figure 1, complete the following function. (-8, - 6)* Figure 2 sece = -5/4 -5/3 5/4 5/3

A: Given query is to find the indicated angle.

Q: dx can be re-written as 1-x The integral A lim (2-2 V1-m ) m-- 00 (B lim (-1+2 V1-m) m - - 00 (c) li...

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Q: A. Evaluate the following integrals 1. 2. L. 3. , e*dx dx dx -1 x2/3 4. SE tanodo -4 dx

A: solution:-Q.(4) ∫-∞π2tanθdθsolving the improper integral=limt→-∞∫tπ2tanθdθ=limt→-∞∫tπ2sinθcosθdθ=lim...

Q: Find the derivative of the function. h(t) = (t + 5)2/3(2t² – 1)3 2( 22 – 1)2[202² + 90t – 1] h'(t) =...

A: In your solution please replace x to t

Q: Given: V5x2 - 3 xdx. If we let u= 5x² - 3, which of the following u-substitution formula is applicab...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y2 = x and y = 2 ...

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Q: / 5x? tun(3x) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find f Given: 5/2 A 18 B none ...

A: This question can be solved using the concept of substitution as used in integration.

Q: Find the nth Maclaurin polynomial for the function. 2x – 5 - f(x) n = 4 %3D X + 1 P(x) = %3D

A: According to question,Given Function,fx = 2x-5x+1n = 4

Q: cot (2x) -dx. Evaluate the integral V cot2 (2x)- 15 csc (2x) CSC A --Arcsec 8 +C 4

A: I=∫ cot(2x)cot2(2x)-15I =-∫ -cot(2x)csc(2x)csc(2x)csc2(2x)-1-15 dxcsc(2x)=u-2 cot(2x)csc(2x) dx = du...

Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: Question 7 dx 7-9e-2x Using u-substitution and transforming the integrand, find du. Given: A 14e2xdx...

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Q: Consider the following sequence: {an} = an+1 Use the ratio an - to show that the given sequence {a, ...

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Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can...

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Q: 1. What is (3x) ? 2. What is (x*+ x)? 3. What is (2-32)? 4. What is (6v - 3v + Sv)? 5. What is (x-1)...

A: As per the guidelines we can solve 3 parts only 

Q: Determine the equation (both standard and general) of the following conic sections based on the cond...

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Q: Answer number 2 to 5. I don't want to waste my money here. I know you can asnwer more than one quest...

A: Topic:- limit 

Q: X = cos 2t, y = cos t, 0 <t<T

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Q: B. Directions: Expand t Scoring Rubric: 3- The final ansv 2- The final ansv 1- The final ansv 0- No ...

A: = (12q+4r)12  Binomial Expression:(a+b)n =∑n=0nni a(n-i) bi(12q+4r)12:  a=12q, b=4r=120(12q)12-0(4r)...

Q: Direction: Provide what is asked in each item. 1. For what value of a does the limit of the piecewis...

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost ...

Q: 3(1+x²)-1/2, y(C

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Q: dy de + 2xy = 2xe-x².

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Q: Find the centroid along the y-axis of the plane area bounded by the equation y^2=4x, x=1 and the x-a...

A: Given curve is y2=4x ,x=1

Q: 3/2 X2 dx

A: 1.∫x32tan-1(x) dxlet x=tdiff o.b.s12xdx=dt dx=2t dt∫t3tan-1(t) 2t dt=2∫tan-1(t) t4 dtwe know that ∫u...

Q: u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral glu) du. If glu) = , evalua...

A: Given  g(u) = u+1u and  ∫f(x) dx = x + lnx-1 + C

Q: Questão 2 Check thatF(x, y) = (ez+y – y2 – cos(y))i + (ez+y – 2yx + xsen(y))j is a conservative fiel...

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Q: Use the graph of the function to find the domain and range of f. (Enter your answers using interval ...

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Q: a. Show by means of slope that the four points (0,0), (-2,1), (3,4), and (5,3) are vertices of a par...

A: This is a problem related to geometry. For parallelogram opposite sides are parallel to each other. ...