Determine which of the following power series is equal to the function f(x) = -V2<<√2 0 0 n=0 IM IM IM n=0 (1)"322n+l ช (-1)"3" 2n+1 2" n=0 (-1) 3x2n 2+1 (-1)" 3x+1 2+1 (-1) 3x²n+1 2+1 3x 2+x² for

Q: Find an equation of the plane. the plane through the origin and the points (4, -5, 2) and (1, 1, 1)

A:

Q: Consider the function f(t) = 4 sec² (t) — 8t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: find the integration?

Q: Solve the given differential equation. All solutions should be found. 2xy + y² + 1 x² + 2xy dy dx…

A:

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship…

A:

Q: fxsinxdx O xcos(x) -In sin(x) + C ○ -xcos(x) + sin(x) + C O xcos(x) + sin(x) + C O xcos(x) - sin(x)…

A: Topic = Integration

Q: Find an equation of the plane containing the point P (1, -7,1) and the line r (t ) = .

A: Given: The point P (1, -7,1) and the line r (t ) = &lt;3 − 2t, 4t, 7&gt; . So,             x = 3 −…

Q: Consider the function f(x) = 5e on the interval [0, 7]. 13- 12 11 10- 9 8- 7- 6- 5 2 Find the…

A:

Q: dr 3 - 4r - r2

A:

Q: (10 sin(x-sin(x-dx 6 2 (Ans: - sin(2x-2) + 5 x + C)

A: Given, ∫ 10sinx-π6sinx-π2dx

Q: 9) Erin goes for her daily run. The elevation changes, so she can run some sections faster than…

A: Given

Q: Given f''(x) = 2x + 5 and f'(0) = Find f'(x) and find f(3) = 1 and f(0) = = = -1.

A:

Q: Find the standard form of the equation of each ellipse. 9. 10. hori 16. 5 on test ор and ← 25 Find…

A:

Q: A triangle ABC has sides that is equal to 11m, 13m, 15m. find the length of median of the 11m-side.…

A: formula: ma = (1/2)2c2 + 2b2 - a2

Q: Let f(x)= I Determine f'(x). sin² (³+1) dt, x= [1,1].

A: Given: f(x)=∫-xx2sin2(t3+1)dt

Q: dy Solve the differential equation: = A - By. Find the general solution to the dx differential…

A:

Q: Use integration by parts and find the indefinite integral f(x+2)e dr

A:

Q: 2.j -dx 2x2 x-1

A:

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550…

A:

Q: Let y = 5x² + 4x + 4. If Ax = 0.3 at x = 4, use linear approximation to estimate Ay Ay ~ Submit…

A:

Q: 35. Choose the integral which represents the area between two curves given on the picture. 2- 1…

A: To choose the integral which represents the area between two curves given on the picture.

Q: -5-4-3 fa 7 The function graphed above is: Increasing on the interval(s) Decreasing on the…

A: Given data÷

Q: 8 1 3√x 1² O 0.5 O 6.5 O 4.5 O 0.5 dx

A: Given a definite integral ∫181x3dx We have to choose one of the given option solving the given…

Q: Question 2 (a) Find, by completing the square, the inverse Laplace transform of S+5 s² +8s+21 (b)…

A:

Q: . (x + 2y) dx + (2x + y) dy = 0. ANS. x² + 4xy + y² = c.

A:

Q: 6. Use an integrating factor to solve the following first order differential equation (x² + 1) + xy…

A:

Q: 3x + 7 Consider the function f(x) = 4x + 1 and (A, ∞o) where the function is not defined at A. Find…

A:

Q: Sxex² dx O 2+x²²/²/2/ HI HIN 6 1 2 HIN ex²+ + C + C + C

A:

Q: A rock thrown vertically upward from the surface of the moon at a velocity of 40 m/sec reaches a…

A:

Q: Use Green's Theorem to evaluate the line integral along the positively oriented curve C that is the…

A:

Q: Find the derivative. [미 In dx x +3 x-3

A:

Q: Can you write out the solution in a better format please

A: Integral of (cot(x)csc(x) = - csc(x)   Csc(π/2) = 1 Csc(π/3) =2/√3

Q: Solve the differential equation: dy = A - By. Find the general solution to the dx differential…

A: We need to find out the general solution and particular solution for the given differential…

Q: Evaluate the following integral. Sxe 13x dx Let u=x². Use the integration by parts formula to set up…

A:

Q: Question 3 A dilution tank initially contained 100L of fresh water. Then water which contained…

A: As per our guidelines answer first three subpart of a multipart question. So please resubmit the…

Q: The system x' = cos(t)x+ sin(t)y y' = cos(t)x - sin(t)y is linear.

A:

Q: n-1 3n-1 Determine whether the series Σ=1 is convergent or divergent. If it is convergent, find its…

A: Using Cauchy criteria find that series is divergent

Q: 2) Determine as derivadas parciais de 1ª ordem das funções z=2e² sen(x) P(1,5). (valor: 1,0) no…

A:

Q: 5. Hance sits at one of the points on the curve y = 2x³ -3x²-12x +20 where the tangent is parallel…

A: Please see the below picture for detailed solution.

Q: A license plate must contain 2 numerical digits followed by 2 letters. If the first digit cannot be…

A: Given 1. A license plate must contain 2 numerical digits followed by 2 letters. 2. the first digit…

Q: Solve the differential equation y'=1+5y subject to the initial condition y(0)=1. From your solution,…

A: Here we have to solve the differential equation.

Q: Find the gradient of the function f(x, y) = sin(x + 2y) O cos(x + 2y) [2î+î] cos(x + 2y) [i+1] O…

A:

Q: Question is to find all the local​ maxima, local​ minima, and saddle points of the function.…

A:

Q: simplify the function before differentiating f(x)= 1/square root e exponent 9x

A: Topic = Differentiate

Q: Evaluate r2 ff dyda.

A: Given itegration ∫-12∫x2-2x   dy dx

Q: Determine whether the series Σ=1 (Limit Comparison Test) 2n²+3n √5+n5 converges or diverges.

A:

Q: If the population of a country is 100 million people and the population is increasing exponentially…

A:

Q: a Using the figure of f(x) above, determine the signs (positive, negative, or zero) of y = f(x),…

A: to find out the signs of f(4), f'(4) and f"(4).

Q: If A and B are square matrices of the same size, then it is always the case that AB=BA.

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: If f(x, y) = ecosy, then find Ꭷ f Ꭷ2 f + Ox2 " dy2

A:

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: