10. [ tan 0 de 12.f cos do 3

Q: Express the integrand as a rational function and then evaluate the integral. x - 4 dx Jo x² – 5x + 6

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Q: 1. Evaluate the following integrals. (a) r* log x dx (1) / . dr

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Q: f(x) = -x^2 + x + 20 and g(x) = x^2 - 5x . Compute the area of the region enclosed  by the graphs of…

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Q: +o0 (-1)*n" sin" () Σ 2n n=1

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Q: Determine whether the series is convergent or divergent. (-1)"3"² En=1 2 -1

A: An absolutely convergent series is convergent. P-Test: The series ∑n=1∞1np converges if p>1 and…

Q: I. Evaluate the following integrals. cln 2 #3. sec-(e")dx

A: integration using integration by parts method if it is helpful appreciate me.

Q: The tangent line equation of x4+y=32 at point (2,-2) is...

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Q: 1 Given the function g(a, b) = suppose m g(a, b) where a²b+b а 3 са b = c3 + 6d am The task is to…

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Q: x3 + 4x2 - 2 dx Ix? (x² + 2x + 2)

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Q: the differential equation dy/dx + y/x = y^2 is solved via the substitution z=y^-1, the resulting…

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Q: If substitution technique is used to solve the integral |(12x+3x*)(10x² +x° – 2)´ dx then the -…

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Q: Write the integral that would be used to find the volume of the solid generated when the region…

A: Given line 2x+y=6, That is y=-2x+6. x -intercept of line 3 y - intercept of line is 6 We know that…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Let's find.

Q: A. LIMITS Limr - 25 1.) lim VE – 2 2.):-4t-4 x-5 x-5

A: Here we have to find the limits.

Q: x² dx J (² – 25)5/2

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find rdr 2/2- 27 eVE - 27) Option 1 Option 2 Option 3 None of the choices

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Q: ¥2/3 6. cos'x sin x dx 5.

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Q: Determine whether the given converges or diverges. n Σ 2n + 1 n=1

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Q: I. Evaluate the following integrals. 1 d.x J #(9 – In² x)5/2* 1. -

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Q: What will be the output of the following code snippet? #include int main() { int a = 3, b = 5; int…

A: Here is the solution

Q: derivative of f(x, y, z) = x + z at P(6,5,-5) in the direction from P to Q(5,7, -4). NOTE: Enter the…

A: We can solve this as follows:

Q: sin (t) -dt 3 (4+ cos (t))?

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Q: IV. Determine if the given is convergent or divergent. #3. S sin(2 tan¬1 n – n) Σ (2 tan-1n – 1) n=1

A: Solution is given below:

Q: A thermometer is removed from hot water at 100° C into a room at 20° C. The temperature difference D…

A: Answer should be 20.254°C.

Q: Find the complete solution of the differential equation using separation of variables 2х + 2ху* y +…

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Q: 1. Sketch the region enclosed by the given curves: y = e*, y = x² – 1, x = -1, x = 1. Find the area…

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Q: 1. A certain object moves in a region of space defined by the following parametric equation: x(t) =…

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Q: The thickness of the shell is a = 0.5 centimeter. Use differéntials to approximate the volume of the…

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Q: (x+ 1)" of constant terms when x= 0 cent.

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Q: Using exact differential equation, determine the solution of

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Q: Let graph (x) as below: -6 Solution of lim f(x)is.... x→0* O -2 O 3 O -3 O 2

A: Consider the graph of f(x)

Q: +0 (-1)m cos(b) = S-1)" -b2m (2m)! for all be R m=0 Given the integral of J cos² x dx, express it as…

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Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1

A: Radius of convergence of a power series of the form ∑n=1∞anx-an  is given by R=limn→∞anan+1 For…

Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

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Q: 9– 4x2 Evaluate: 4.x2 + 2 sin () +C A 6/ f (x) = 9-4x2 - 2.x sin () + C B f (x) = - -1 ( 2r 9-4x2+2x…

A: here we do integration using parts ∫ fg' = fg -∫f'g f = 9-4x2 g' = 1/x2 f' = -4x/9-4x2 g = -1/x ∫…

Q: Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 :…

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Q: . Find the sum of the following convergent series. Σ 00 3n+1 a. 6n-1 n=0

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Q: п(х — 2)" 3" (2n – 1)3* VI. Consider the power series n=1 a. Show that the power series converges…

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Q: The value of dy/dx for implicit function xy – x + y - 2 = 0 at point x = 1 is ... Nilai dy/dx untuk…

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Q: ind the sum of the convergent series. +00 3n+1 Z 6n-1 n=0

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Q: Calculate the derivative of the function xe" at the point x = 0 %3D O 1 e O 2e

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Q: e20 -do 1+ 3e20

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Q: Find the general solution of the given system. 12 -13 X' = 13 -12 X(t) =

A: We have to find general solution.

Q: Please answer both items. Thank you so much!   Activity 1. Use a directed line to represent the…

A: Given,            v = (-2,3),           u = (-3,-4)

Q: I. Evaluate the following integrals. 1 1. d.x ¤(9 – In² x)5/2'

A: Given problem:-

Q: Solve if the improper integral below diverges or converges. If it converges, solve for the value. 1…

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Q: 4) V9-z zt2-6

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Q: 2y 7. 3. Evaluate ST (r+y)dx dy. 32 A) 3 64 C) 3 16 B) 32 D) 3

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Q: (-1)" V2n2 + 5 Given: power series (x+ 1)" n=1 Determine if the resulting series of constant terms…

A: To solve the following problem