For what values of x does the series converge conditionally? (-1)+1(x+4)n ngn Σ n=1 O A. x= -13 O B. x OC. X=5 OD. None 13, x = 5

Q: 1 d 4 dxdx d v + 1d 2 dx (v) + v=4]

A:

Q: What is the formula that would be used to calculate the trapezoid approximation of 2x²dx using five…

A: we have to approximate the value of integral by using trapizoid rule

Q: What is the average value of f(x), between x = 2 and x = 5 for f(x) = 2x?

A: To find the value value of , between  to  for .

Q: bn = n n²+3*

A:

Q: EVALUATE THE FOLLOWING LIMIT a. lim sin3x x>0 ex-1

A:

Q: 7 x 3 - 20 (a) lim (b) lim F1IX +5² +1 (c) lim F1I8 2+7 3x + 5

A: (a) (b) (c)

Q: Verify that the function y = -1 y = ' − x + 0.25 is a solution to the differential equation y' = 4y…

A: The given solution is y'=4y+4x-2 and the solution is y=-10e4x-x+0.25 Verify

Q: (a) Let f(x) = of f(x). a ba where a, b, x > 0. Use limit definition to find the derivative f '(x)=…

A:

Q: You've been asked to calculate the mass of a conical pile of sawdust measuring 10 meters high with a…

A:

Q: Let f(x) = e (a) reflecting the graph of g(x) in the x-axis; (b) reflecting the graph of g(x) in the…

A:

Q: Find the displacement of an object on the interval 3 ≤ t ≤ 9 if its velocity is shown below. V(t) 4…

A:

Q: Upload a picture of your full solution in one file and attach it to this question. Determine the…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Question 3 The graph below shows y=f(x) for -2 ≤x≤1. Outside of this interval f(x) is zero. y 1+ 0 x…

A:

Q: Find the constant a such that the function is continuous on the entire real line. x ≥ 1 x < 1 a=…

A: The piecewise function is given where we need to find out the value of a such that the function is…

Q: 3. Find the particular solution of 4y" + 25y = 0 when x = 0, y = -2; y' = 0

A:

Q: Which of the following ideas represent the different ways a line and a plane can intersect. Select…

A: There are three possibilities for the intersection of a plane and a line.They do not intersectThey…

Q: (a) For what real value of the constant k is the function differentiable. (k+ 1)²x if 0 3+ Time

A:

Q: EVALUATE THE FOLLOWING LIMIT @lim x²-x-6 X-3 x-3

A:

Q: What formula would be used to calculate the middle rectangle approximation Joyx+2dx using four…

A:

Q: Divide. 6√5cis (¹)÷3√6cis (7) Drag a value into each box to correctly express the quotient in polar…

A:

Q: Find the radius of convergence & interval of convergence of the series. (Cal 2)…

A:

Q: 1) BASIC DERIVATIVES: Differentiate and simplify the following functions a) f(x) = 5x³+3x² - 5x+2 b)…

A: We know that the derivative of x^n Is  nx^(n-1)

Q: The base of a three-dimensional figure is bound by the line y = -x-2 on the interval [-6, -3].…

A:

Q: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

A:

Q: In Problems 6-10, let R be the region bounded by y = x² + 1 and y=x + 1.Each problem will describe a…

A:

Q: Scot² (3x) csc ²¹ (3x) dx

A: ∫ cot2(3x)csc4(3x) dx

Q: Write out the form of the partial fraction decomposition of the function (see example). Do not…

A: The given function is, x4+5x5+3x3

Q: The cost function for producing x units at a company is C(x) = 54 √√x + 500 dollars. Find the…

A: The cost function for producing x units at a company isTo determine: The marginal cost when 9 units…

Q: Compute the discriminant D(x, y) of the function. ƒ(x, y) = x³ + y4 − 6x − 2y² + 2

A:

Q: Find the values of the partial derivatives for the function f(x, y); Given f(x, y) = 5x³+4x²y² -…

A:

Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: 1. Determine the complete solution of the given differential equation y"+y' - 2y = 2x - 40cos2x. Use…

A: The given differential equation is; y''+y'-2y=2x-40cos2xSolve by method of undetermined…

Q: Find the critical points of the function f(x, y) = x² + y² + 8x − 4y + 4.

A:

Q: The graph of y=f(x) is shown below (dashed curve). Reposition the two green draggable points to…

A:

Q: Suppose f(x, y) = x² + y² + x²y + 5 and D = {(x, y) : |x| ≤ 1, y ≤ 1}. Answer the following. 1. Find…

A:

Q: 14) z(1+h²) dz 1+z²

A:

Q: 4) More Complex Differentiation: Differentiate and simplify the following functions a) g(x)= rcosx…

A:

Q: View the curve (y - x)² + 2 = xy − 3 as a contour of f(x, y).

A:

Q: 23. x = y, y = 0, x = 1

A: 23. Given that,     x =y, y=0,  and x =1.Red line: y=xBlue line: y=0Green line: x=1.

Q: How far is the point (8,12,2) from the z-axis

A:

Q: Vector a is expressed in magnitude and direction form as a = (√30, 110°). What is the component form…

A: Solving the problem

Q: What are the fourth roots of −3+3√//3i ? Enter your answer by filling in the boxes. Enter the roots…

A:

Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). First Year…

A: Note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: If an object moves along a path with a velocity v(t) = t³-². If the initial position of the object…

A: Given problem:-An object moves along a horizontal path with a velocity .If the object has an…

Q: 24. f² (2x − x³) dx

A:

Q: ][₁ xyz dS, where S is the cone with parametric equations x = ucos(v), y = usin(v), z = u, 0≤ u≤ 1,0…

A:

Q: 3 Find the derivative for: f(x) = (-2x + 5)² and write it as f'(x). 80 E D C $ 4 R F % 5 V FB T G <…

A:

Q: Solve each of the given triangles (i.e. find the lengths of the missing sides). Parta) Part b) 160°…

A:

Q: 4. Determine the 75th derivative of each of the following functions. b) f(x)= 3 cos 2x

A: We know that the derivative of cos(ax )is -a*sinx(ax)

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

A: