Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 Σ k514 k=1 The series is conditionally convergent eTextbool absolutely convergent divergent

Q: b. Consider f(x) Complete the x + 7 following statements. i. As x → x, f(x) → Preview ii. As x → ∞, ...

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Q: 1 we, ON =? - м ду dx 3 (a) 3 (b) (c) 3y (d) —Зу - --

A: Topic = Derivative

Q: Given cost and price (demand) functions C(q) = 110q + 45,000 and p(q) = - 2q + 870, what is the marg...

A: given cost function c(q)=110q+45000Price function p(q)=-2q+870

Q: b. Suppose the function h is defined as h(x) = 3f(x). Determine the domain and range of h.

A: b. Given that  h(x)=3f(x) Domain of f is [0,4] and range [0,2]      

Q: Given Cost and Revenue functions C(q) = q° - 10q +53q + 5000 and R(q) = - 3q + 2500q, what quantity ...

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Q: Solve each of the following equations for x by first writing the equation so that the left-hand side...

A: Follow next step

Q: axis. Find its exact area, no Find the area enclosed by the following parametric curves and the x de...

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Q: 10203040-10102030405060-10 You are a lifeguard and spot a drowning child 40 meters along the shore ...

A: Follow step 2 and 3.

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 1 + 1 n =...

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Q: 21. The complementary solution, y., of the equation y" + 2y" + y = 10 is %3D (a) y. = Ce- + cze- + C...

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Q: ting factor for the given differential equation is

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Q: . Get the derivative of the given function. 2. y - In 7x

A: Solving the problem by finding the derivative of the function.

Q: The following series are geometric series or a sum of two geometric series. Determine whether each s...

A: a) ∑n=1∞5n4nb) ∑n=2∞12nc) ∑n=0∞2n82n+1 Note:      Multiple sub-parts are given, we are answer only t...

Q: The height of a cone is decreasing at a constant rate of 3 centimeters per minute. The volume remain...

A: Given,          The height of a cone is decreasing at a constant rate of 3 centimeters per minute.  ...

Q: Given cost function C(q) = q° - 130q + 2600q, what quantity minimizes average cost?

A: We use differentiation to find the quantity to minimize the cost.

Q: Use the ratio Un+1 to determine if the sequence an is strictly increasing or strictly decreasing. 2n...

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Q: State where the power series is centered. Σ (-1)"(x – 6x)ªn (4n)! n - 0

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Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5q + 6500. ...

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Q: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves defi...

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Q: Given: (Express answer as a fraction. Use the "/" key for the fraction bar.) В 2 30° V3 A C sin B= 1...

A: SinB =AC/AB

Q: The demand functions for two products are given below. p1, p2, q1, and q2 are the prices (in dollars...

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Q: 2. Find the general solution of the given differential equation. dr + rsece = cos0 do

A: The given differential equation is; dr/d(theta) + r sec(theta)=cos(theta).

Q: Write a polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial with...

A: topic - polynomials

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4x

A: This is a problem of tangent line equation. Slope of the tangent line is equal to the slope of given...

Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-8, 3), dire...

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Q: At what points (x,.y.z) in space are the functions continuous? a. h(x.y.z) = In (4z - 5x - 3y - 4) b...

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Q: Given cost function C(q) = q° - 130q + 24000q, what is the minimum average cost? per item. (Round to...

A: The cost function Cq=q3-130q2+24000q

Q: p. Based on your table in part (a), complete the following statements. i. As x → – x, f(x) → - Previ...

A: b) i) As x tends to -infinity , f(x) tends to 0 .  as 1/-infinity =0

Q: 6. Which of the following equations is an exact differential equation? (a) (r2 + 1)dr - rydy = 0 (b)...

A: Please see the below picture for detailed solution. 

Q: II. Solve the system of equations by the substitution method: 2х -y =1 1. 5x +3y =8 x- 2y -z=1 y+ 2z...

A: Solving system of equation using substitution

Q: Calculus Question

A: The given function,      fx=4x+2+6 ; x≥-2

Q: The graphs of two functions f and g are shown below. 3 -3 3 -3 a. Write a function formula for g usi...

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Q: 1 y =

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Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial wit...

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Q: wis Two Sides ofatkiangle have lengths a=4 m b=3 Cm but are inckeasing at the rate of 1 /se If the a...

A: A=12absinθDifferentiate w.r.t t0=12dadtbsinθ+adbdtsinθ+abcosθdθdtSubstitute dadt=1,dbdt=1, a=4, b=3 ...

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

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Q: Answer the question below: A gift from an organization is wrapped in a box provided that the sum of ...

A: This is the problem of maxima and minima of the function. By using lagrange multipliers we will solv...

Q: The "vertex" of the graph of a quadratic function is the point that corresponds to the minimum (or m...

A: a) f(x)=11x-63x-8b) gx=x2-92c) hx=3x2+12x+5

Q: Given cost and price (demand) functions C(q) = 110g + 41,000 and p(g) = - 2g + 870, what is the maxi...

A: Basic application of derivative problem

Q: Given: В 2, 30° V3 A ZA = O 50° 40° 60°

A: We have to find out the angle

Q: Given Cost and Revenue functions C(q) = q° - 11q +53q + 5000 and R(q) = - 3q“ + 2500q, what is the m...

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Q: Determine the behavior of the functions defined below. If a limit does not exist or the function is ...

A: A function is undefined when the denominator is equal to zero  Here denominator of h(x) is -x³+11x N...

Q: Decompose the function y = (2-2x*)³ in the form y = f(u) and u = g(x). (Use g(x) = 2 – 2r*.) Provide...

A: In this question we have to find the value of x and y.

Q: 2. Use the Integral Test to determine if the series Σ (n + 2)/4 1 n=1 converges or diverges.

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Q: Let d be the distance from a point on the plane x - 2y + 3z = 9 to the point (0, 2, 1). For f(x, y) ...

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Q: The functionf is defined as f(x) = (x – 5)(x + 6)². Answer the following - questions without using a...

A: Solution : fx=x-5x+62a. if fx=0x-5x+62=0x-5=0,x+62=0x-5=0,x+6=0x=5,x=-6roots are,x=5,-6

Q: 12. A function f, continuous everywhere and twice-differentiable for x # A, satisfies • (-44) = B, f...

A: ----------------------------------------------------------------------------- Basic information:  f'...

Q: Use the following function to answer the problems below. S(+) = f(r) = (x + 2)² (a) Find the vertica...

A: The point at which the graph of the function changes its direction that is from concave upward to co...

Q: 6) What are the real and imaginary parts of (1+i)exp(-it/4)/v/2? 7) What are the real and imaginary ...

A: First we simplyfy then find real and imaginary parts. 

Q: 1. Prove that the sum of the consecutive cubes is given by this formula: n²(n+1) 4 13 + 23 + 33 +..+...

A: Given; 1) 13+23+33+...+n3=n2(n+1)2/4 Repost the next questions.