a) ): Explam why the following series Σ (-1)"-1 1+ n3 n=1 is Alternating. b) Use the Alternating Series Test to determine whether the series Σ (-1)"-1 1+ n3 n=1 is convergent or divergent.

Q: 4 x xp = Vx+9

A:

Q: Problem #8: A rocket is being launched. After a while, it rises at a constant velocity of 30 miles…

A: Let's find.

Q: [-8,-6) U (-4,-2) U (-1,2) [-8, –6) U (–4, –2) U (–1,2) 67% correct Your first interval or set is…

A: the f(x) is always positive above the x axis. and always negative below the x axis

Q: In the equation of sphere part, where did 62 come from?

A:

Q: Decide whether or not the given integral converges.   +∞ 4 x1.5 dx   1

A:

Q: x'dy +xydx x²dy + 2y dx

A: Given problem:- x3 dy+xydx =x2 dy +2ydx

Q: 2x2 + x + 3 -dx x3 + x In|x| + In (x² + 1) + tan-1(x) + C In|x| – ; in (x² + 1) + tan '(x) + C…

A:

Q: 5-6 Sketch the region whose area is given by the integral and eval- uate the integral. 5. ". 2 (7…

A:

Q: -구 4 3 4 5 6 Water leaks from a tank at a rate R( t ) where R( t) = 3.6 + 0.47 t gallons per hour…

A: Given problem:-

Q: What is the area of the enclosed regions in problem number 3?

A: We can solve this as follows:

Q: Please show the right triangle

A:

Q: Find the equation of the two lines that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3 = 0 at…

A: Given

Q: I cannot see the full solution for this question, and would like to better understand the…

A: We can solve this as follows:

Q: this was not right the answer  it was wrong

A:

Q: True or false every rational number is a decimal

A: Rational number is a number in p/q form, where q not equal zero.

Q: Step 1 Given :x+ y = e2x + 2y -> Step 2 X + y = = e2x +2y di f ferenciate wrt x thenl - %3D

A: Let's find.

Q: 300 Mr. Santos wants to acquire a lot 300TT meters wide and with length bounded from 300 the road to…

A:

Q: Could you help me with part b) also please?

A:

Q: 2x e d.x 4e2 – 8e" + 5

A:

Q: P5: 4 – 9x²dx

A:

Q: x² + 9 dx J x2 – 1)(x² + 4) | In \x + 1| + In |x – 1| +; tan-1 (-) + c -In |x + 1| - In |x – 1| -;…

A: Topic:- application of integration

Q: (iii) Find a vector equation for the tangent line to the curve of intersection of the cylinder a² +…

A:

Q: x sin¬1 x² dx

A: To find out the integration.

Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

A:

Q: Determine the linear approximation of f(x) = x* at x = 1. а. у %3D 4x - 3 O b. y=- 4 x - 3 О с. у-…

A:

Q: Use

A:

Q: f (x+h)- f(x) 7x3-2x-1 Using lim-0 Find the slope of the tangent line y 5x+2 h at x = -1.

A:

Q: 2. If f(x) = ax3 + bx?, determine a and b so that the graph of f will have a point of inflection at…

A:

Q: Vectors a and b have lengths 2. If Ja + b | = V7, determine the exact value of Ja – b|.

A:

Q: x sin¬1 x² dx

A:

Q: Find the Laplace transform of the following periodic function? 0 <t < t n <t < 2n cos t 1- f(t) = {…

A:

Q: (2) Find the following a f a.) f (x,y) = cos (x y) -x³+y4, find D fyx and i) axaxa %3D

A:

Q: Can you clarify the first part again, does it mean that the relative maximum, minima, and horizontal…

A:

Q: Find the arc length of the curve with parametric equations x = e-t cost and y = e-t sint on the…

A: We have to find the arc length.

Q: 25-9x2 -dx- x2

A:

Q: -1 cos х ах

A: We can find the answer to the integration in the following steps.

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 4 sin(t). The initial…

A: We have to find the velocity, displacement and total distance.

Q: The integral of the given function ſ (4 +) dx is equal to a. 6 b. 7 с. 4 d. 8 e. None of the above А…

A:

Q: Convert to a polar coordinates. 11. (-4,4) lar form. Show work on separate paper.

A:

Q: I don't understand the a20 answer?? Is that 2n-7??

A:

Q: How did you arrive at 7200t + 12800t

A: Given ,  Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the…

Q: 3 14- Find L {r'} for (a)n="; (b)n=;:(a)n= 15- Find L[e" t 2 2

A:

Q: VOLUME OF SOLID REVOLUTION Answer the following: 2) y - 4x ,y=4 x-0; abalt the y-ovis

A: We want to find volume of the solid created.

Q: ) Solve ac-4xdx+ xly=0 using the integrating factor M= to

A:

Q: What is the answer for C I cant read that hand writing

A: We can solve this as follows:

Q: Fill in the missing correct answer to simplify the given complex fraction. 1 4 x2 Complex Fraction:…

A:

Q: 3.

A:

Q: 1 | y/35y² dy 2

A:

Q: Гесos 4x sin 4xdx eCo:

A:

Q: The answer is not -900. Please give me the correct answer.

A: