discontinuous

Q: Find the Maclaurin series and corresponding interval of convergence of the following function. 1 f(x...

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Q: Using Tailor's series, evaluate a) tan '(0.1) | b) sin(0.03)

A: In order to calculate the functions first formulate the tailor's series for respective functions and...

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) E(...

A: Geometric Infinite series :     An infinite geometric series is the sum of an infinite geometric seq...

Q: The Maclaurin series of the function f(x) = 9 cos(10z?) %3D can be written as f(x)= Cna" where a few...

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 4 += +- ...

A: Check series convergent or divergent. By using comparision test.

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the su...

A: Given problem:- Find the equation for (a) the tangent plane (b) the normal line at the point Po(2,0,...

Q: In this ULO, we have learned how to use critical points, first derivative test and second derivative...

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Q: хр %3D S + X хр Find at (-7, 1) if xy: %3D (Rou

A: We have to find dy/dx   at (-7, 1) 

Q: A man on a boat is located at point B on the waters, 200 meters from point A on the shoreli Line seg...

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Q: 1-coskx 2. lim = 0. kx

A: We have to find the limit of the function (1-coskx)/kx when x tends to 0 . 

Q: A space probe in the shape of the ellipsoid 16x +y + 4z = 20 enters a planet's atmosphere and its su...

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Q: Determine whether the sequences are increasing, decreasing, or not monotonic. If increasing, enter /...

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Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

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Q: 2x – x3 dr (х — 1)2(х2 + 1)

A: Given that ∫-∞02x-x3x-12 x2+1dxSolution :2x-x3x-12 x2+1=Ax-1+Bx-12+Cx+Dx2+12x-x3x-12 x2+1=Ax-1x2+1+B...

Q: 1prove. tanx csc-tanX =cos x cscx Sinx tanx tcos ton tan(esc'x-1) s tanx (cot). Ein 2x tosX COSA cot...

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Q: Let W = F(x , y, z) = xy + yz + xz , where x(t) = 3 + sin(2t -4) , y(t) = t 2 and z(t) = 3 - t. Find...

A: Given that :    W= f(x,y,z) = xy+yz+xz.  Here we use chain rule to find dw/dt  at t= 2.   Here i att...

Q: point is OD. (Type an ordered triple.)

A: We are asked to find farthest point from sphere.

Q: What are the coordinates of the foci of the hyperbola whose equation in standard form (x +4)² is giv...

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 9n + n 8n -...

A: The given series is: ∑n=1∞9n+n8n-1 Let, an=9n+n8n-1, n≥1

Q: Find the Curvature of the space curve r (t) = t i + t? j + -2 t3 k at t = Enter an integer or a full...

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Q: Using polar coordinates, find the area of the region shared by r=6cos(theta) and r=6sin(theta)

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Q: Consider the integral x² dA where R is the region given by 25x2 + 4y2 < 100. (a) Consider the transf...

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Q: For the given p-series, identify p and determine whether the series converges. -6/5 k=1 p = . Theref...

A: Given∑k-6/5k=1∞

Q: Solve number 1 and 2. No need to graph. Short solution will do.

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

A: We can find the critical values as below.

Q: y=4^20 find dy/dx

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Q: Evaluate the integral: f sin rcos³rdx

A: Topic:- integration

Q: 7 Find the Paametric equ. for the line f intersect of the Planes 3x- 6y -2z =15 and 2X+Y-22%3D5? ans...

A: Given two lines, 3x-6y-2z=15 ....(i) and 2x+y-2z=5....(ii) Putting z=0 in (i) and (ii) we get, 3x-6y...

Q: The graph of the equation 2x² + 3y² + 12x – 12y + F = 0 is ether an ellipse, a point or an empty set...

A: In this question we have to find the condition for F.

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

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Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint: ...

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Q: CALO2- INTEGRAL CALULUS INTEGRALS OF TRIGOMOMETRIC FUNCTI ONS HTE GRATE Hも FO110WIN の 5) (xcot (10x?...

A: A detailed solution is given below

Q: Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =

A: Given,            y'=ey-x , y0=0To find : the solution to the initial-value problem.

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 the Taylor polynomials of degree n approximating cos(2æ) for æ near 0: For n = 2, P2(x) For n 4...

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Q: For f(z) = 20, find using the definition, f(z+ Az) - f(z) = lim Az0 Ay dy = lim Az0 Ar da Az (a) Fir...

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Q: dy tan5 2x sec4 2x %3D

A: NOTE: Refresh your page if you can't see any equations. . use the formula  ................(1)

Q: Let P(x) = F(x)G(x) and Q(x) , where F and G are the functions whose graphs are shown. G(x)' F 4 2 G...

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Q: . Complete the analysis for and sketch the graph of the function f(x)= 2x2 -3x-14 ÷ x2-2x-15 . Use ...

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Q: Write each of the following in Sigma notation: 1 7. 1 1 1 1 6. 3 + 6 + 9 + 12 + 15 1?* 2* 32

A: Given query is to write the sequence in Sigma notation.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (-1)"

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Q: What is the equation in standard form of a hyperbola if the coordinates of the foci are F;(3, – 5), ...

A: We know the following. From the given focus and vertex, we observe that we must have b=3, a=4, h=3,...

Q: For the equation given, find dy 5x3,2 5x³y² – 5x²y = 9 хр Ap pui хр 1.

A: We will do implicit differentiation with respect to x

Q: What are the coordinates of the foci of an ellipse whose equation in standard form 112 x+ is given b...

A: We have to find the focci of an ellipse 

Q: 01:42 d. Calculate the area enclosed by the curve y = 2x2 +3 and the x-axis between x = 0 and x 2. 4...

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Q: Ex/ show that f(x) = x+7x + 4 x + 1 has an inverse. %3D

A: In this question we have to find whether the function has an inverse.

Q: compare with Euler's method. y' = y + t2, y(0) = 5; exact solution is y = 7et − 2 − t2 − 2t Estimate...

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Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 5e* (Express numbers in exact form. ...

A: Maclaurin series :    f(x) ≈ ∑k=0∞ fk(0)k! xk = f(0) + f'(0) x + f''(0)2!x2 + f'''(0)3!x3+... du.v.w...

Q: use the rules of differentiation to find fhe derivative. g(x) = 2x² - 3x +1

A: Given query is to find the derivative of the expression.

Q: group of children picked oranges and made orange juice. The line plot below shows the amount of juic...

A: Greatest amount of juice is 3 .  According to guidelines we solve only first three parts.