Apply the Ratio Test to show whether the infinite series is convergent or divergent n! Σ (-2)"

Q: Use the trapezoidal rule withn= 4 to approximate cos(x) dx Keep at least 2 decimal places accuracy i...

A:

Q: Solve the differential equation (D3 + 7D2 + 19D + 13)y = 0 When x=0, y=0, y'=2, y"=-12, find y ()

A:

Q: - 4x + 30 -dæ Evaluate (x – 5)(x + 5) + C

A:

Q: Graph the line whose y-intercept is -2 and whose x-intercept is 7. -10 -8 6. 10 -10+

A:

Q: The equation of the family of straight lines with y-intercept and slope equal is

A: Equation of family of lines

Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

A:

Q: 2. f(x) = e2x; a=0, n=10

A: Given:       fx=e2x. a=0, n=10       

Q: An open box is to be made out of a 9-inch by 19-inch piece of cardboard by cutting out squares of eq...

A: Given: The dimensions of the piece of the cardboard is 9-inch by 19-inch. An open box is made out of...

Q: . The differential equation (2x³ – xy² – 2y +3 )dx– (x²y+2x }dy = 0 is exact because ƏM ƏN %3D ôx

A:

Q: dy Find for the following function. dx 5 cos x y = 1+ sin x %3D dy %3D dx

A:

Q: 4) Determine whether the improper integral diverges a) fx'e *dx or converges: 1 b) J (7x +1)³ 1

A:

Q: find all of the critical points and local maximums and minimums of each function. (d) f(x) = |æ+ 5|....

A:

Q: x² + y = (2x² + 2y² – x)°, (0, 3) (cardioid)

A:

Q: At the point x 2, the function -8 2<x<* f(x) = |x-2 -< xs2 is (a) continuous and differentiable (b) ...

A:

Q: 6) Evaluate each integral. 5x-3 x²-7x+10 | u Sun 7x-x² +11x-3 (x² +1)(x² +3)

A:

Q: Elimination of Arbitrary Constant: y= Ax + Bx+C, A and B are constant, C is a parameter

A:

Q: b 16 17 18

A: Graph the function :    

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A:

Q: 3. y'-5y=x²e* – xe*

A:

Q: For what values of x d X = II

A:

Q: Homogeneous Differential Equation: (x* +2xy – 4y² Jdx – (x² – 8xy – 4y² kdy = 0 Use the substitution...

A:

Q: A ball is thrown in the air from the top of a building. Its height is given by s(t) = –0.6t² + 36t w...

A: Let s(t) denotes height of an object at any time t. Then velocity of this object at any time t is gi...

Q: mpQ -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 slope Previous

A:

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. If one ca...

A:

Q: Find all values of n such that y = x" satisfies x?y" – 90y = 0 (Give your answer in the form of a co...

A:

Q: At9:00AM,athermometerreading25°Cistakenoutsidewheretheairtemperatureis5°C.At 9:03AM, the temperature...

A: Given: At 9:00 AM, thermometer is taken outside where Air temperature = 5°C and Thermometer reading ...

Q: Exact Diffe rential Equation: x(3xy - 4y' +6) kx + (x³ – 6x²y² -1\dy=0

A: Check firstly it is Exact or Not.

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A:

Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

A:

Q: 2. Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

A:

Q: Homework: Graph the following functions and show domains and ranges of them. 1+cos2r 1. 3. y = cot3x...

A:

Q: 4. Homogeneous Differential Equation: (r+2ry –4y' dx-(r² -&ry-4y'dy =0 x=2; Use the substitution y- ...

A:

Q: x'cos x dx cos x Jo

A: LetI=∫0πx3cosxdxUse integral by partsI=x3∫cos(x)dx-∫∫cosxdx.ddx(x3)dxI=x3sinx-∫ 3x2sinxdx0π         ...

Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

A: Differential equation  Separation of variables

Q: The function S(x.y)= (2x* + y^ )exp[ y + xy' is homogenous in x and y of degree 2x

A:

Q: Differentiate the following implicit equation for y(x) with respect to r: 3x – a°y+ 4y³ = 6

A: Finding dy/dx

Q: B. In items 16 to 20, (a). construct the table of values; (b). graph the function; and (c). find the...

A: Follow the procedure given below.

Q: Describe which methods and how can be used to find an infinite limit. Please, provide a general stra...

A: Given that: To demonstrate the idea of infinite limitThat is, the idea of sequence of a real numbers...

Q: 9. lim e 10. lim e sin 6x 11. lim 5*+6 12. lim

A:

Q: Homogeneous Diffe rential Equation: (r +2xy -4y² ktx-(x² -8xy – 4y² /dy = 0 Use the substitution x=2...

A:

Q: Find an equation of the tangent line to the graph of the equation at the given point : g(x) = x³ + 3...

A:

Q: Suppose that you are told that the Taylor series of f(x) = x*eª´ about x = 0 is x10 + + 2! 3! + Find...

A: Given the Taylor series of f(x)=x4ex2 about x=0 is x4 + x6 + x82! + x103! + x124! + ⋯   We know that...

Q: Déterminer une valeur approchée de l'aire de la surface bleue ci-dessous composée d'un triangle rect...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: lim (32x-3 +5) 5) ,2r- x→4

A:

Q: Consider the vector field F = (4x + 6y, 6x + 2y) Is this vector field Conservative? Conservative If ...

A: Vector field is conservative. Then find f(x, y) 

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k 1 Σ 6ln k k=...

A:

Q: 4-ху Find lim if it exists, or show that the limit does not exist. (x,y)→(2,1) x²+3y2

A: Given :lim(x,y)→(2,1) 4-xyx2+3y2

Q: Find the derivative of y with respect to x. y= (x° Inx)° 9. %3D dy dx

A:

Q: Eliminate the arbitrary constants y = x2 + ax + be-*

A: We have to eliminate the arbitrary constants y = x2 + ax + be-x

Q: Find a vector that is orthogonal to both v = (1, –2,3) and w = (2, 1, –1).

A: