Find dy/dx and d'y/dx, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations Point x = 4t, y = St-5 t=2 slope "1 = 0 concavity: 2 4|4t x neither

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Q: 6. Given f(x) = 3x - 1 A. Find (f-g)(x) B. Find (fog)(x) report domain and simplify C. Find (3) (2)…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

Q: Suppose that f(x, y) = y√x³ + 1 on the domain D = {(x, y) | 0 ≤ y ≤x≤5}. Then the double integral of…

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Q: cb+2π f" sin z dz = Sov20 a+2π a sin x dx

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Q: Solve | | - 3x +8 24

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Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: -xs -X sec (3x) +C…

A: Given Indefinite integral as follows

Q: 6x Find the limits in a), b), and c) below for the function f(x) = - X-5 Use -∞ and ∞o when…

A: given limit to find

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x²² In(x),…

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Q: A student solves an optimization problem as in Model 1, except that in the problem Mini and Max are…

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Q: Simplify: x5/6y2/7x4/34/7 x2/3y1/7 Entry Tip: put the numerator and denominator in parenthesis. Also…

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Q: Find aw/as and aw/ât using the appropriate Chain Rule. Function Values w = y³ - 2x²y x = es, y = et…

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Q: Solve the given initial-value problem. Y(x) = y" + 4y' + 5y = 35e-4x, y(0) = -5, y'(0) = 1

A: y'(0)=1

Q: Evaluate the following integral. 36 2 x - 36 36 x²-36 2 dx= dx

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Q: (a) In(2x + 1) + In(10) = In(50) (b) (c) log(9x + 1) = 2 e2x - 3ex + 2 = 0

A: Given equations to solve for 'x'

Q: Find the exact length of the curve. x = et t₁ y = 4et/2, 0≤t≤4

A: Given, .Formula for length of curve is,

Q: For which value of t does the line given by the parametric equations x = t - 1, y = 1+ 2t, z = 3-t…

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Q: Express 0.132 as a geometric series

A: The given number .The aim is to write the number as a geometric series.

Q: If z² = x² + y² with z > 0, dx/dt = 2, and dy/dt = 6, find dz/dt when x = 6 and y = 8. dz dt Answer:…

A: The Power Rule:The Chain Rule:

Q: At what point on the curve x² - y² + x² = 0 is the tangent line vertical? (a) (0,0) only (b) (-1,0)…

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Q: Solve the equation. 7 X-4 X = 5 2x²5x- 12 X 1 2x + 3

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Q: Evaluate the indefinite integral. +C 5- 4 sin x Cos x dx

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Q: Solve the separable differential equation for u du dt Use the following initial condition: u(0) =…

A: To solve the following separable differential equation for .

Q: Given the function f(x) = -2x² Find the difference quotient Find f'(x) by determining lim h→0 -4…

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: What is the unit tangent vector T(t) on the curve r(t) = (sin(t), 3, 2 cos (2t)) when t = 0? Select…

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: r=6cos⁡(θ),θ=π3

Q: Which polar coordinate pair corresponds to the same point as (-1,)? © (1,4) (1, ²) o None of the…

A: To find the polar coordinate pair that corresponds to the same point as .

Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O-4 and 2…

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Q: What values of a and b make the function f continuous everywhere? x² 4 a = f(x) = and b = - " X 2…

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Q: Graphs of the velocity functions of two particles are shown, where t is measured in seconds. When is…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (tan x)8/x 8 -tan(x) tan…

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Q: Question 3.31) A) Compute f'(x), f"(x) and f"(x) for f(x)=sin(x). B) Let g(x)=√√9+4x². Evaluate…

A: Take derivative.Take the second derivative.Take the third derivative.

Q: Find the exact directional derivative of the function √y z at the point (1,9, 9) in the direction…

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Q: Consider the function f(x) = { 4x² =−x+5c_if x ≤ 2 - 4x if x > 2 For what value of c is the function…

A: given function

Q: A company is planning to manufacture snowboards. The fixed costs are $100 per day and total costs…

A: Given that,The company manufactures snowboards. The fixed cost is $100 per day and total cost $5100…

Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√y+3

A: To find and to sketch the domain of the following function.Note: Since the student has posted…

Q: Find the outward flux of the field F= 8xyi + 8yzj + 8xzk across the surface of the cube cut from the…

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Q: Verify the following identities: 1. tan y csc y 2. 3. tan x sec x = sec y cos y sin x cot x sec x…

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Q: y-values 9 8 7 6 5 4 3- 2 1 If f(x)= = g(x) 41 g(x) h(x) f'(3) -- 2/17 3 2 3 x-values then 4 X…

A: The given function is The formula we use to find the derivative of function f(x) is Quotient rule…

Q: (a) Isolate h. V = { Tr² x

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Q: The vectors (8,-12, 16) and (8, 12, 5) are orthogonal. Select one: True O False

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Q: Find the total differential. 8x + y 3z - 2y dw = W = 8 3z-2y dx + 3z- - 4y - 16x (3z-2y)² Jdy + (7…

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Q: What is the volume if a 6 inch square is cut out

A: Consider the box

Q: Sketch the curve. r = 7+ 6 cos(0)

A: r=7+6cos⁡(θ)

Q: 12. {yly = x² - 1, x = integers}

A: {y/y=x2−1,x∈integer}

Q: A helicopter gets into difficulty at time t= 0. Its altitude (in meters) is given by…

A: Sorry we can solve only three sub parts.A helicopter gets into difficulty at time t = 0 Its altitude…

Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: Find the length of the arc of the curve-y = (x − 2) = from x = 0 to x = 6

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Q: Let Compute dw (-5,-2)= -(-5,-2)= ow Ət w = xy + yz - 5xz, x = st, y = est, z = ²

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