(6) Determine if the alternating series converges Σ(-1)"+1. ∞ n=2

Q: Let f(x) = 1+x+x² + x³. Then the derivative is Thus, f is monotone on R because O A. f'>0 O B. f' <…

A:

Q: If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t seconds is…

A:

Q: Find the first partial derivatives of 4xy f(x, y) 4x + y af dx = -(2, 3) = = af -(2, 3) : dy = at…

A:

Q: 3) Find the average value of the function f(x) = 5x+2 over the interval [0, 3].

A:

Q: 4 Find the exact sum of 26 5 n=0 n

A:

Q: dy dt : 2y + y5 =

A:

Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x² that pass through…

A:

Q: Find d² y dx² t x = ²/² + 1, y = 1²³-1 2 2 at t = 2 for x

A:

Q: lim 814 2-2-√²+1

A: To evaluate the limit of the function

Q: Use technology to obtain approximate solutions graphically. All solutions should be accurate to one…

A:

Q: Use the Integral Test to determine whether the infinite series is convergent. 1 n² + 25 Fill in the…

A:

Q: How do you take the indefinite integral of ln(3x2)?

A:

Q: 9. If g(x) = (ax√√/1-x)², express g(10) in simplest X form. 10. A population of wolves in a county…

A: 9)     g(x)=(ax1-x)2 for g(10) put x=10

Q: 1- Estimate using linear Approximation. 3 192 - 1/10 19

A: Let's estimate value by using linear approximation.

Q: 1 f two resistors with resistances R₁ and R₂ are connected in parallel, as shown in the figure, then…

A: Given query is to find the rate of change of R.

Q: I want to know why the absolute minumum value is -6.35.

A: Let's solve for absolute minimum value.

Q: If the angle is in standard position and P(x, y) is a point on the terminal side of 8, and r is the…

A: If the angle θ is in standard position and Px, y is a point on the terminal side of θ, and r is the…

Q: The region enclosed by the functions y = √x & y = form the base of a solid figure. The cross…

A:

Q: Use a graphing utility to approximate the solutions of the equation in the interval [0, 2x) by…

A:

Q: A piece of wire of length L is cut into two parts, one of which is bent into the shape of a square…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

A:

Q: Hello, please show all the work. Thank you

A: We will find the required radius of convergence and interval of convergence .

Q: 1. Determine what type of conic the equation 9x² - 4y² + 54x + 16y + 29 = 0, represents, find all…

A:

Q: WE Σ n=1 4 3" +1

A: Given query is to find series converges or diverges.

Q: Use Euler's method with step size 0.5 to compute the approximate y-values Y₁, V2, Y3 and Y4 of the…

A: Solution:

Q: answers to three decimal places. Find the critical numbers of the function f(x)=-3x5 + 15x¹ +25³ +4…

A:

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x4 + 5ex,…

A: To find the equations of the tangent line and normal line to the curve at the given point.y=x4+5ex,…

Q: 2. Evaluate the integrals using area formulas: (a) (b) 10 9-(x-7)² dx (10-2 (10-2|x) dx

A: Given is the question of definite integral.

Q: Expand the expression using the Binomial Theorem: x5+ 405 x+ 270 (3x - 1)5 = 243 15 x+ 1 x³+90 x² +

A:

Q: (a) Use the information you answered on number 10 to graph the function from that problem. 10) P(x)…

A: (a) The polynomial to be plotted is Px=x4+3x3-3x2-7x+6. The factorization of the polynomial can be…

Q: Question 13 A company's revenue from selling x units of an item is given as R = 1400x – 3x². If…

A:

Q: Evaluate the definite integral. Southe 11T 2 9 sin(x) dx =

A:

Q: Solve the following first order differential equation whose type of differential equation is either…

A:

Q: 4- Apply Newton's method to f(x) = x³ + 5x +4, Xo=1. Find x1, x2, and x3.

A: use the newton method and derivative for finding the Xn.

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

A:

Q: Q 2.3 find a particular using the method a symbolic function of x. humbers. differential equation…

A:

Q: Find an equation of the line tangent to the graph of ​G(x)=3e−2x at the point ​(0,3​).   y=

A:

Q: 3. Use the Ratio Test to determine the convergence or divergence of the series. 00 n! a. En=0 3"

A:

Q: y"+lly'+24y = 0 X(0)=0 y'(0) = 7

A:

Q: A piece of cardboard measuring 14 inches by 12 inches is formed into a an open-top box by cuttin…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: A thin sheet of ice is in the form of a circle. If the ice is melting, at what rate is the radius…

A: Given that ice sheet is in the form of circle.

Q: Σ n=4 4η 2 3n” – 2n – 15

A: The given series is summation of 4n/(3n2-2n-15) , n from 4 to infinity.

Q: 17 Let I = [x² dx = 1596 and consider the Trapezoid Rule, T(n), and the Midpoint Rul 5 a. Compute…

A: Let's find T(12) and M(12).

Q: the answer -25 is incorrect. Is there something wrong with the way the problem was done? I do not…

A: Let's find dz/du by using chain rule.

Q: Transform the following differential equations to the standard form (dy/dx) + A(x)y = B(x) OR…

A: We can solve the given differential equation by using the integrating factor method.

Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial…

Q: y (x+5)(x + 1)

A:

Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

A:

Q: For the above rational function f(x) = < X < Submit Question 3Q 19 4x² + 2 Jump to Answer " identify…

A: Given:=19ddx4x2+2-1  fx=194x2+2 An inflection point is a point on the graph at which the second…

Q: III. Find the first derivative of the following functions. Simplify as much as possible sin (r) rcos…

A: