I Given, dr b(cos@dr+rsinede); r(t) = 1, Find r(-). 1 1+b O 1+b 2 1 1+b O b 1+b (1-b)

Q: 5. Find the average rate of change between the years 2010 and 2012.

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

Q: Which of the following represents the same point as (3,-)? Select all that apply. (-3,5) ㅁ (3, 뽕) □…

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Q: r(t) = (6-t)i + (7t-6)j + 3tk, P(5, 1, 3) Find the arc length function s(t) for the curve measured…

A: We have to find the arc length function.

Q: Find two unit vectors orthogonal to a = (4, 3, -1) and b = (-4,-1,5) Enter your answer so that the…

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Q: Problem 5: Find the addition formulas and derive the identities of cos (x - cos (x - 1) = sinx…

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Q: Consider the following planes. x + y + z = 2, x + 4y + 4z = 2 (a) Find parametric equations for the…

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Q: Use the Chain Rule to find dz/dt. dt z = x² + y² + xy, x = sin(t), y = 5et = 2 sin(t) cos(t) + 5e…

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Q: A particle moves along the x-axis, its position at time t seconds given by s(t) = et - 2t meters.…

A: The objective is to solve the above question.

Q: Rate of Change of Production Costs The daily total cost C(x) incurred by Trappee and Sons for…

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Q: -2-2x-15 x +3

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Q: (1 point) Differentiate y y = = sin(x) 0 ← sin x x² A

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Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by fat a. x f(x) = cos x, a = 3 Po(x)=…

A: The given function is: fx=cosx, a=π3  To find the Taylor polynomial of orders 0, 1, 2, and 3…

Q: Duf(1,-1, 6) =

A: Given query is to find direction derivative.

Q: Differentiate y = tan¯¹(x − √√1+x²). y = 0

A: y=tan-1(x-1+x2)d dx(tan-1x)=11+x2d dx(xn)=nxn-1

Q: If ƒ(x) = x + 5 and g(x) = x – 5, (a) f(g(x)) (b) g(f(x)) = = (c) Thus g(x) is called an f(x)…

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Q: 5. A four-person committee is selected out of two departments A and B with 12 and 14 people,…

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Q: Find the value of at which the tangent line to the curve y = +1 passes through the origin.

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Q: Where did you get dy/dx(16x^2y + 16y^3 - 8xy) from

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Q: Find the volume of the solid that results when the region bounded by y = 3 + 2x - x², y = 0, and x =…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given : f(x)=5x2-4x2                  To Find : Slope of graph at point (5,1/5)]i.e. to find  :…

Q: The total cost (in hundreds of dollars) of producing a slide rules per day is C(x) = 8 + √√2x + 25.…

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

A: By using Lagrange multipliers to find the maximum and minimum values  of the function subject to the…

Q: (5) Consider the polar equation (a) Find r corresponding to r=2 sin 0-2. 0=0, π/6, 1/3, π/2. What…

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Q: Evaluate the limit: r(t + h) - r(t) h for r(t) = (t-2, sint, 7) lim h→0 r' (t) = 100)

A: The objective is to solve the above question.

Q: Let f'(x) = ƒ(x) = (8x² − 8)^(2x² — 6) ¹²

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Q: Find the value of at which the tangent line to the curve 1 = y x+3 passes through the origin.…

A: Given equation of curve y = 1x + 3

Q: is where 21,2 are the solutions to the auxiliary equation ay" + by' + cy=0 y = A₁e¹¹x + A₂¹2x aλ² +…

A: Given, ay''+by'+cy=0 Solution is y=A1eλ1x+A2eλ2x in case of complex roots λ=ρ±iω, y=eρxCcosωx+Dsinwx

Q: can you solve this using U Substitution?

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Q: A ball dropped from a height of 12 ft begins to bounce vertically. Each time it strikes the ground,…

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Q: Consider the following function. f(x) = (x-8)2/3 Find the derivative of the function. f'(x) = X= 2…

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Q: a varies directly as the square of b and inversely as the square of c. If a = 100 when b = 5 and c =…

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Q: 1. Use the function f(x) = 6x³e to answer the following problems: (a) On which interval(s) is the…

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Q: The function, f(x) = √1 + 9x² over the interval 0≤x≤1 (a) Find f'(x). Fully simplify your answer.…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: f(x) = ax^2 +b f(-2) = 10    and    f'(-2) = 5 then: a= b=

A: Given query is to find value of a and b.

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: The given acceleration a→t=5t, 5sin t, cos2t and the initial velocity and position vectors are…

Q: Given Z₁ = 1 + √3i and Z2 = √3+i, (a) Express z₁ and z2 in polar (complex exponential) form. (b)…

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Q: (A) (B) O (C) (D) (E) Compute the following limit (A) 4 (B) DNE (C) / (D) (E) 0 √√x - 2 lim x 4 x 4…

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Q: how? = 1024 625 = 1024 625 5 3 [+] - [ + ] - 1 S 3 2 15 ~1.423 + 1763 541 15360 = 2048 +1763√41 9375…

A: The following calculations has been used below to solve the expression…

Q: 1 f (x) = (z²3) find domain ○ (-3, ∞0) O (-∞, -3) O (-∞0, 3), (3, 00) none of these answers

A: Given query is to find the domain of the function.

Q: Hello, can you please help me implicitly derive (dy/dx) : x*e^y = x-y

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Q: w = xy + yz + zx, x = r cos(8), y = r sin(8), aw aw when r = 8,0 = z = r8;

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Q: Let f and g be the functions in the table below. g(x) 2 3 X 1 2 3 f(x) 3 1 2 1 (a) If F(x) =…

A: NOTE: Refresh your page if you can't see any equations. . the first function is  take derivative

Q: Let A be a positive constant. The equation of the line tangent to the curve sec(y) + x³ - 9 = Ay at…

A: Equation of tangent to the graph y=f(x) at point x1,y1 is given byy-y1=dydxat x=x1,y=y1×(x-x1)   The…

Q: End Behavior of a Po Identify the End Behaviors for the function graphed to the Right hand end…

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Q: 2. (D³ – D² – 12)y = 0

A: To find the solution of the following Homogeneous Linear DE of Higher Order. D3-D2-12y=0

Q: Let f(x) = 3 cos(3x + 5). Find ƒ'(x). f'(x) = 0

A: Given query is to find indicated derivative.

Q: h'(s) =

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Q: Use Lagrange multipliers to find the minimum and maximum values of x²y + 2x + y subject to xy = 4.

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Q: Consider the following differential equation. y" +12y' + 36y=-6x Proceed as in this example to find…

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Q: DETAILS WANEFM7 2.R.039. OHaganBooks.com is seeking a $260,000 loan to finance its continuing…

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