Find the equations of a Tangent line in a given curve to the given value of x y=tan^-1 x, x=1

Q: Determine if -1 CSC 1 if 0 1 1 is continuous or not at r =; and 1. If it is discontinuous, identify ...

A: Given is the question of Continuity.

Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant...

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Q: Given x = 60°, tan š can be rewritten as which of the following? 1- cos 60 1- 2 sin? 60 1- cos60 tan...

A: We can find the answer as below.

Q: End the solution and dyined the interpal at which function is depince dx

A: Given that xdydx+y=1y2Solution :xdydx+y=1y2xdydx=1y2-yxdydx=1-y3y2y21-y3dy=dxx∫y21-y3dy=∫dxxlet, 1-y...

Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: 213 + 4x² + 7x – 6 dx - 1. xª – 3x² – 4

A: ∫dx/(x-a)= ln(x-a) ∫dx/(x²+1)= arctan(x) ∫xdx/(x²+1)= (ln(x²+1))/2   Let I =  ∫ (2x³+4x²+7x-6)/(x⁴-...

Q: t' sin (2t*) dt Evaluate O 1/8 t^4 sin(2t^4) - 1/16 cos(2t^4 )+c O -1/8 t^4 sin(2t^4 )+1/16 cos(2t^4...

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Q: 500 where r is the mortgage A county realty group estimates that the number of housing starts per ye...

A: According to bartleby guidelines I can only answer one of the questions given. 

Q: evaluate fsin.x dx inx dx JT+sin x A secx- tanx - x +C B secx + tanx +x+C C) secx + tanx - x + C

A: Here we have to evaluate, I=∫sinx1+sinxdx

Q: Determine whether the alternating series converges. k +1 E(- 1)*+1. 6k + 1 k=1 O The series converge...

A: Option B

Q: NO NEED TO SHOW SOLUTION FOR NUMBER ONE; JUST USE NUMBER 1 TO SOLVE FOR NUMBER

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Q: 2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the v...

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Q: The bacteria in a culture can be assumed to multiply at a rate that at any given moment is proportio...

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Q: The sin*3udu is equal to 3 А. — и + 1 - sinбu 12 1 -sinбu + 12 1 -sinбu + 12 1 -sin12u + C 96 1 sin1...

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Q: Find the open intervals on which f(x)= x^4+8x^3 is increasing or decreasing. Find the critical value...

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Q: n! h) E п n3' n=1

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

Q: lim (25-x2 X-D4 lim ( 3x -2) X-D3 lim (ax2 +4x+5) X-DO X+1

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few t...

A: Given query is to find the general formula for nth term.

Q: The trough shown below is full of water. How much work does it take to pump all of the water out of ...

A: This question can be solved by applying the concept of  Work done=∫F.ds

Q: Determine the function f satisfying the given conditions. f'(x) = sin(x) cos(x) %3D f(37t/2) = 2.5 %...

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Q: 2л3 + 4г2 + 7a - 6 dx 24 — За? — 4

A:

Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

Q: 4x2 – 4x + 3 dx J (2x – 1)(4x² + 1)

A: Given problem:-

Q: dz If 7 = y cos(x), x = s't and y = s²t³, then dt O a) –2s³ ty² sin(x)+ 6s²t²y cos(x) | O b) –2s° ty...

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Q: Solve the equation by the method of your choice. 5x - 9x – 14 = 11- 9x The solution set is { }. (Sim...

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Q: 5л? + 3х — 14 (а) f(*) %3D 5х — 4 6x² + 4/x (b) f(x) = %3D

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: solution:-y=5+2xy=15+x3  

Q: 10 (4) Find the repulsive fixed point of g(x) = +3

A: Solve the equation, x=g(x) for x to obtain the fixed point (s), xp If g'(xp)>1, then xp is repuls...

Q: 2x – x3 1. Evaluate dx. (x – 1)² (x² + 1) 2. Use the previous item to determine if the improper inte...

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Q: %3D Let f(x) = e* g(x), where g(0) = 1 and g'(0) = 5. Find f'(0).

A: Given query is to find indicated derivative.

Q: Determine the function f satisfying the given conditions. f'(x) = -sin(x) f (7/3) %3D = 3.5 f (x) = ...

A:

Q: Partial fraction decomposition 1. x^3-2x=A(x-1)(x^2+1)+B(x^2+1)+(Cx+D)(x-1)^2 . If I know that B= -...

A: Given

Q: 2x – x3 - 1. Evaluate dx. J (x – 1)²(x² + 1) - 2. Use the previous item to determine if the improper...

A: We have to solve integration

Q: 3. у %3D In(5 — е**) 4. x = et (cos 2t + 2 sin 2t)

A: Topic:-  derivatives 

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e" ...

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to ...

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Q: z sin(2- 32)+cos(2 - 3a)+c | 4x cos(2 – 3x) dx 4x cos(3 3r) dx Option 1 Option 2 |4 cos(3- 3z) dr 4....

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Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: Step 1 of 3: Use the following information to find (f • g)(x). ftx) = (x + 5) and g(x) = x2 - 5 %3D ...

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

Q: n! g) E п 3" n=0

A: There are multiple questions, as per company policy kindly ask other questions separately, ratio te...

Q: The trapezoidal dam shown in the picture is holding back water which rises 3. to 1 m below the top. ...

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Q: п d) Σ (-1)" п е n=1 (-1)"*'n² п e) E 2 п +4 n=1 1 Σ- ‚n n=1

A: According to guidelines we can solve only first question. Please submit as separate questions.

Q: The separable equation dy/dx=xy2 admits a constant solution equal to (x)=0. Is it True or False?

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Q: Hw. Find dw and dw for the following functions

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Q: what is csc^−1(csc(3π/5))

A: Given

Q: Complete

A: Please refer to the image below

Q: a) f (x) = 6x5 – 3x? + 9x – n b) h(x) =D + vZx-제

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Q: Use the limit comparison test to determine whether the series converges or diverges. 6k2 – 4k + 6 12...

A: Solve by limit comparison test :- if a known series and unknown series ratio after applying limit  i...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (kn 6sin O abs...

A: Here, the given series is: ∑k=1∞6 sin kπ2 Let, ak=6 sin kπ2; k≥1