Find the value of f'(9) if f(t) = 10√t - 7 √t

Q: ).  Use the Integral Test to determine whether the sum converges. ∞     n = 1 1   n + 8 Evaluate…

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Q: (b) r(t)=e¹¹ 7+ sint j+t² costk at t= 0

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Q: m to be removed -

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Q: (c) Find the value of √a²-x² [₁ 2(x + y) x² + y² giving your answer in terms of a. 1+ -dx dy,

A: The given integral is:∫0a2-x2∫-aa 1+2(x+y)x2+y2 dx dy

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: 6. Find the polar coordinates if (x, y) = (-√3, 1), r≥ 0, -2π <0 ≤0 (a) (2,117) (2,117) (b) (d)…

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Q: 2. (Section 17.2) Integrate f(x, y, z)=x²-3y + z over the line segment from (3,2, -1) to (0, 1, 1).…

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Q: Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t…

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Q: 2 كل ك 0.5 , 3- = (f(x رشد -

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Q: Use the Quotient Rule to compute: ਹੈ y dy y+5æ

A: By Quotient Rule ∂∂xuv=v∂u∂x-u∂v∂v2

Q: Consider a population P=P(r) with constant relative birth and dealt rate a and b and constant…

A: Given dPdt=kP-m

Q: Find dy/dx if y = sec¯¹(x) Answer: ·¹(x) + csc¯¹(x).

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Q: d the polar coordinates if (x, y) = (-√3, 1), r≥ 0, -2π < E

A: Given query is to find the polar coordinates.

Q: 4. Let (n) be an increasing sequence of real numbers. Assume, furthermore, that (x₂) has a…

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Q: Analyze the function f(x) = {. No 12 -10 if z < 6 +7 if x ≥ 6 √6 Your classmates may be analyzing…

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Q: the rectangular equation if r = 4 cos 0 + 4 sin 0

A: Given query is is to find the rectangular equation.

Q: Let -3 -3 -1 4 -1 -3 022 Evaluate the determinant of A using the row or column that minimizes the…

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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: 5e 42 sin(y), find a unit tangent vector to the level curve at the point component. Present your…

A: The function is  f(x, y)=-5e-4xsin(y)

Q: A constant volume of cookie dough is formed into a cylinder with a relatively small height and large…

A: We know  Volume of cylinder=πr2h r=radius of cylinder h=height of cylinder

Q: Consider the following. 3(1 + 104x) = 8 (a) Find the exact solution of the exponential equation in…

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Q: Problem 10. (a) an = n³ n³+1 Determine whether the sequence converges or diverges. (ln(n))² (c) cn =…

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Q: -he 3 particular Solution to the differential equatio method of of parameters. Your ar bolic…

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Q: 8. Find the slope of the tangent line to the parametric curve x = 4 cos(t), y = 3 sin(t) when t=…

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Q: d) MsU₁= Rows: 1 Columns: 1

A: GivenM5=-5-3-3-31-5-4-2 and v1→=-20We are required to find M5v1→

Q: The volume of a cube is increasing at a rate of 60 in3/sec. At what rate is the length of each edge…

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Q: The equation N (t) 550 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

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Q: 2. Coefficients Linear in Two Variables (3x +2y + 7)dx+ (2x - y)dy=0

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Q: Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma-separated…

A: Note: Since the student has posted multiple questions and does not mention any specific question, so…

Q: A bacterial culture grows according to the formula P = Poat. If it takes 9 days for the culture to…

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

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

Q: Hence construct explicitly a decreasing differentiable function g(x) such that lim g(x) = 0 lim…

A: We are assuming a function g(x) which is a differentiable function even at x -&gt; +∞ If a function…

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

A: Given y'=x2y-y22    , y(0)=3    , h=0.2

Q: ʼn object is thrown vertically upward whose height is given by the function s(t) = − 16t² + 35 here t…

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Q: Let and Compute B - A. e O b) O O 4 -5 -3 5 -9 7 -4 5 3 -5 9 -7 6 5 7 3 1 3 d) Not possible. 9 -5 -1…

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Q: limg-5 5-x 2-√x-1

A: The Solution is given below:-

Q: -4-x² - y² 4 component. For the function f(x, y) (-3, -3) that has a positive find a unit tangent…

A: Let's find unit tangent vector.

Q: Convert the general form to standard form of parabola

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Q: (5) Determine if the alternating series converges Σ(-1)^n. 8 n=2

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Q: The Divergence Test for infinite series (also called the "n-th term test for divergence of a…

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Q: (3) Use the Comparison Test to determine if the series is convergent. ∞ sin n n² + 2 n=0

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Q: g. What is the general equation of a circle whose center is at M(5,-3) and whose radius is 4 units.…

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Q: Let F(x, y) = (x + y, x²), and let 7(t) be the parameterization of the line segment from (0, 4) to…

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Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 8 sin(x). If ƒ(0) f'(0) = 3,…

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Q: Evaluate each expression using the graphs of y=f(x) and y=g(x) shown below. a) (gof)(6) b) (gof)(0)…

A: To find (fog)(a) = f(g(a)), first find g(a) . Then, put the value of g(a) in f(g(a)) . Let g(a) = b…

Q: Find the maximum and minimum values of the function f(x, y) = e subject to x³ + y³ = 54 Please show…

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Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal…

A: The given series, 12·3+23·4+34·5+45·6+56·7+.... We have to find the first five terms of the sequence…

Q: Evaluate the following integral in spherical coordinates. 2 /4 4 csco 2 SS S p² sin o dp do de Ο π/6…

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Q: An equation for a quartic function with zeros 4, 5, and 6 that passes through the point (7, 18) is…

A: An equation of a quartic function with zeros 4,5,6 and passes through (7,18) is

Q: Use Laplace transforms to solve the initial value problem: y" - 10y' +9y = 5t, y(0) = -1, y'(0) = 2

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