where k > 0. 4. s(s-k)'

Q: Justify your answer whether the following functions are continuous or not at a certain point or…

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

Q: 144 - 9^2

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

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. 1, t6…

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Q: Consider the following function. f (x, y)  =  (x − 4) ln(x6y) (a) Find the critical point of  f.…

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Q: 3(x +2)" In(n) 2. Consider the power series What is the centre a of this power series? What is n=2…

A: Solve the following

Q: Given the power series Σ 4 (x - 3)" - n = 0 n + 2n Find the "Radius of Convergence" for the series.

A: Radius of convergence of the given power series  ∑n=0∞ 4n2+2nx-3n

Q: Determine the following indefinite integral. (2:-3) dz O e(2-3) +C 0 2 O 2e(z2-32) + C 글e22 + C O…

A: Consider the integral  ∫2e(2z-3)dz

Q: Calculate the taylor polynomialT3 Centered at X=a for the given function and values of a and…

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Q: In(y) Evaluate the iterated integral: ye 4xdxdy. Show all of your work.

A: To evaluate the iterated integral. ∫12∫0lnyye4x dx dy

Q: Evaluate the indefinite integral. x + 3 dx x2 + 6x + 10 Integral =

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Q: Integrate: S sec t csc t dtis equal to A. In(tan t) + C B. In(cot t) + C C. In(csct – cot t) + C D.…

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

Q: We're building another box! This box is to be constructed with a total volume of 160 cm3, but the…

A: Given that the volume of the box is: V=lbh=160⇒lbh=160⇒h=160lb...(1)

Q: ? dx = In|x| – e* + C ? S 2²+3xdx = 4 In 8 + C

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Q: 4x2 [cos (2)* 1. lim X→+00 Find the limit using L'Hopital's Rule

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Q: . fx'Sin(x* \dx

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: 6. Ay 10- siven the graph to the right, find f(x)dx 8- 6- 4- 2- 0- 2 4 6 10 f(x)dx = .

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Q: A table of values of an increasing function f is shown. 10 14 18 22 26 30 f(x) -11 -5 -4 3. 30 Use…

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Q: +00 (-1)" The Maclaurin series expansion of tan-1I is given by tan¬ I = (2n + 1) 2n+1 for r €…

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Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

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Q: Given the power series n=0 n! Find the "Radius of Convergence" for the series. A L = B L = 2 CL=0 3…

A: Radius of convergence 1L=limn→∞an+1an       =limn→∞4n+1(n+1)!4nn!       =limn→∞4n+1(n+1)!×n!4n…

Q: y" + 4y' + 4y = e=* cos x

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Q: Evaluate the integral:

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Q: If a > 0 and E 4, is convergente then Eola)" is also convergente Select one: O True OFalse if a, is…

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Q: For each equation, determine whether it represents a direct variation, an inverse variation, or…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable 8 1+ 4 lim…

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Q: A triangle with its vertices lie in a circle of radius 13. If the two sides of the triangle are 12m…

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Q: Evaluate the following limit. Kz^ + Zx^ - Ax^ -x (X,y,z)→(1,1,4) X – /xy + /xz - /zy Select the…

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Q: Find the volume of the solid bounded by z = 3x - 2y, 2y = 3x, 2y = -3x and x = 3. Leave your final…

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Q: Find the center of mass (in cm) of the partices with the given masses located at the given points on…

A: Given: The mass and location of the particles.

Q: dx 24. Integrate: J Ve-2x-1 А. Sec 1ex + C В. Sec-1e С. -Sec 1e* +с + C D. –Sec-le-* + C dx 25.…

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Q: =1 nº+1

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Q: Determine the following indefinite integral. 1 dy 14y

A: ∫114ydy=114·∫1ydy=114lnyAdd a constant to the solution=114lny+C

Q: Find the taylor Series of f(x) centered at the given valve of a and the interval on which the…

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Q: For eac ation, determine whether it shows a direct variation (that is, shows directly proportional…

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Q: Find the Jacobian of the transformation. x = 5e-Ar sin(20), y = er cos(20)

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Q: -3x у" + 5y' + 4y %3D 10е'

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Q: Determine the area bounded by the equation given.

A: This question can be solved using the concept of area under curves.

Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 E…

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Q: Let R be the region bounded by the functions f(x) = x2 + x and g(x) =-3x -6x as shown in the diagram…

A: Given query is to find area bounded by the curves.

Q: (1) Show that planes perpendicular to the r-axis have equations of the formr=a sec 0 in cylindrical…

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Q: (y-3)/(x³+1) dy = y4dx is a separable differential equation. Select one: O True O False

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Q: Given the power series n = 0 Find the Integral of the Power Series. 00 2 A, x2" dx = E A x(2n - 1) A…

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Q: g(x)=2f(x+3)-4

A: We have to explain translation done on f(x) to get g(x).

Q: 7.3z =0.001 to estimate the slope of the Let f(r) = tangent line at z = 7. 8.1r. Use the difference…

A: Given that       f(x) = 7.3x2 - 8.1x

Q: How would you explain to someone that sqrt(16) = 16^(1/2) ? Like why is it the same if you were to…

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Q: nan The shaded region shown below is bounded by the functions f (x)=-2x + x + 10 and g(x) = -1.25x +…

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Q: Find the intervals on which fis increasing and the intervals on which it is decreasing. f(x) =…

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Q: Given the power series 00 (x - 2)" n = 0 n5 Find the "Radius of Convergence" for the series. A L = 1…

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