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Q: Suppose that a particle moves along a straight line with velocity v (t) = 62t, where 0 < t <3 (v(t)…

A: Approach to solving the question: Detailed explanation:Examples: Key references:

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

A: We need to find the area between the x-axis and the function, f(x)=4x3 Over the interval [-5, 3].…

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A: Step 1:

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A: To find the point of diminishing returns for the revenue function R(x)=10,000−x3+42x2+700x in the…

Q: Pls help ASAP

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Q: practice problem please help!

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Q: Showing all working, find the eigenvalues and corresponding eigenvectors of -3 (a) (27) 6

A: Step 1:Step 2:Step 3: Step 4:

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A: We have given graph of a function, Step 1 : Determine the zeros of graph, Because graph crossing…

Q: ∞ 2n (4n)! Let R be the radius of convergence of the series -x2n. Then the value of (3" (2n)!)² n=1…

A: Step 1:Step 2:

Q: 3. A spring is stretched 6 in. by a mass that weighs 8 lb. The mass is attached to a dashpot…

A: Given Data: - Mass weight: W = 8 lb - Damping constant: c = 0.25 lb-sec/ft - External force: F(t) =…

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A: Conditions for Infinite Radius of Convergence in Power SeriesA power series centered at z=a has the…

Q: A curve, described by x2 + y2 + 8x = 0, has a point A at (−4, 4) on the curve.Part A: What are the…

A: Step 1: Part A: Finding the polar coordinates of point A.To find the polar coordinates (which are a…

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Q: 1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in feet per…

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Q: Question Help: Message instructor Question 13 Find the horizontal asymptote of f(x) = y = Question…

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Q: 8–23. Sketching vector fields Sketch the following vector fields

A: Step 1. Set up your axesDraw and label perpendicular x- and y-axes.Mark off equal intervals on the…

Q: use L'Hopital Rule to evaluate the following. a) 4x3 +10x2 23009׳-9 943-9 b) hm 3-84 хто бу+2 < xan…

A: Step 1:Step 2:Step 3: Step 4:

Q: Explain the relationship between 12.3.6, (case A of 12.3.6) and 12.3.7

A: The Basic Comparison Test (Theorem 12.3.6, Case A) and the Limit Comparison Test (Theorem 12.3.7)…

Q: An object of mass 4 kg is given an initial downward velocity of 60 m/sec and then allowed to fall…

A: Here is the step-by-step explanation: Step 1: Establishing the Differential Equation:​Newton's…

Q: Evaluate F³ - dr where ♬ = (4z, -4y, x), and C' is given by (t) = (sin(t), t, cos(t)), 0≤t≤ñ .

A: We are given the vector field:F⃗⟩F=⟨4z,−4y,x⟩and a vector-valued…

Q: Use 12.4.2 to determine whether the infinite series on the right side of equation 12.6.5, 12.6.6 and…

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Q: Suppose that f(x, y) = y√√r³ +1 on the domain D = {(x, y) | 0 ≤y≤x≤ 1}. D Then the double integral…

A: Step 1:Step 2: Step 3: Step 4:

Q: Please answer all questions and show full credit please

A: 1.Implicit Differentiation &amp; Tangent at (2,1) : Curve: −xy−y2+x2=1Differentiate w.r.t.…

Q: please show all the work

A: Part (a): Calculate the derivative of g(x) = ln(x2+ 4x + 7) We can use the chain rule to find the…

Q: Consider the matrix A, given by +63) A = 1 -3 4 -3 4 5 -105 (a) Find the determinant of the matrix,…

A: Given:                ⎝⎛​1−35​−34−10​435​⎠⎞​            Using cofactor expansion along the first…

Q: (28 points) Define T: [0,1] × [−,0] → R3 by T(y, 0) = (cos 0, y, sin 0). Let S be the half-cylinder…

A: Step 1: (a) Normal Field for SThe given parametrization is:                                  T(y,θ)…

Q: +6x²+135x+1) (0≤x≤10). a) Find the number of units The total profit P(x) (in thousands of dollars)…

A: Ans page 1:Ans page 2:

Q: 15. a) Consider f(x) = x-1 3x+2 and use the difference quotient to determine the simplified…

A: Step 1:Step 2:Step 3: Step 4:

Q: Question 4 If log2(6x+3).= 4, then x = You may enter the exact value or round to 4 decimal places.

A: Step 1:Given that log2(6x+3) = 4 Take base exponent 2 to both sides, 2log2(6x+3) = 2⁴ 6x+3 = 16…

Q: Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3…

A: Given​​ STEP 1 ​​.STEP 2 ​​STEP 3 ​​Compare dz and Δz:We got :dz=−1.1,Δz=−0.9625 Since dz is an…

Q: (7) (12 points) Let F(x, y, z) = (y, x+z cos yz, y cos yz). Ꮖ (a) (4 points) Show that V x F = 0.…

A: Approach to solving the question: Detailed explanation:Examples: Key references:

Q: 43-46. Directions of change Consider the following functions f and points P. Sketch the xy-plane…

A: The gradient of a function gives the direction of maximum increase. It is calculated by taking the…

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Q: Construct a table and find the indicated limit. √√x+2 If h(x) = then find lim h(x). X-8 X-8 Complete…

A: — EXPLANATION —

Q: B Find the domain the function graphed below. Express in interval notation 5 3 pts 1 De 3 2 1 -5 -4…

A: We determine the domain of the function from the graph by identify the range of x-values for which…

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Q: Given D = {(x, y) | O≤x≤2, ½ ≤y≤1 } and f(x, y) = xy then evaluate f(x, y)d using the Type II…

A: Step 1:Step 2:Step 3: Step 4:

Q: eliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the…

A: Explanation:

Q: a い पीर ined sove in peaper Pu+9625 Which of the following is converge, and which diverge? Give…

A: Both 3^n and 6^n are geometric series with a common ratio greater than 1. According to the geometric…

Q: help with work

A: If you have any problem let me know in the comment section thank you.

Q: Question 14 3 pts 1 Details A population numbers 17,000 organisms initially and grows by 9.9% each…

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Q: Use a geometric series to represent each of the given functions as a power series about x=0, and…

A: Step 1:   Step 2: Step 3: Step 4:

Q: For f(x) = (x+3)² - 2 sketch f(x), f(x), f(x − 2), and f(x) — 2. State the coordi- nates of the…

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Q: 12. For the differential equation in the previous question, what is the correct form for a…

A: The correct answer is D. yp = Ate^t + Bt^2 + Ct + D.

Q: I need help on 10

A: If you have any questions let me know in the comment box thankyou.

Q: can you solve this and explain the steps used along the way

A: Step 1: Simplify the integrand The integrand can be rewritten using exponents: 1/(41+x​)=(1+x)−1/4…

Q: (6 points) Let S be the surface z = 1 − x² - y², x² + y² ≤1. The boundary OS of S is the unit circle…

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Q: Anot ined sove in peaper +9198 PU+965 Q3// Draw and Evaluate fƒ³½³¸ x/3 x -dydx x²+y2 Lake Gart Draw…

A: ∫₀¹ ∫₀ˣ^(1/3) (x / (x² + y²)) dy dxInterpretation of Region:Outer integral: x goes from 0 to 1Inner…

Q: i need help please

A: Solution to the Given Problems(A) Solution of the Homogeneous Differential Equation (B) Solve the…

Q: (10 points) Let S be the surface that is part of the sphere x² + y²+z² = 4 lying below the plane 2√3…

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