Determine if f is differentiable at r = 0 given that 4 cos-1 ), if – 2 0, r# 1.

Q: 2. How many alphabet characters should a password be composed, making sure that there are at least 2...

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: Write the domain in interval notation. Write your answers as integers or simplified fractions if nec...

A: Topic = Functions

Q: 6. Let a be a real number. Consider the series where an = cos(n7); 2n + 1 n=0 (a) Is it possible to ...

A: Given: α∈ℝ,  the series ∑n=0∞ an;  an=cos(nπ) αn2n+1

Q: consider the following.  e^-5x=8 a) find the exact solution of the exponential equation in terms o...

A: topic  -  exponential equation e-5x   =  8taking natural log both sides ln(e-5x  )    =  ln(8)-5x  l...

Q: 5. Ollivanders is a wand shop for wizards in Hogwarts. It has been estimated that when x wands are p...

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Q: A particle moves along the curve y = V1+ x3. As it reaches the point (2, 3), the y-coordinate is inc...

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Q: Solve the following equation for 0 on the interval [0, 360°). 7V3 cot (0) + 4 = 25 Enter your answer...

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Q: Find the number(s) b such that the average value of f(x) = 6x² – 62x + 132 - on the interval 0, 6 is...

A: Given   fx=6x2-62x+132   ,    favg=15      We have to find b value for interval [0,b]

Q: Find the area under the curve 2.5 y = 1.5x %3D from x = :7 to x = t and evaluate it for t = 10, t = ...

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Q: a) The curves y = x² and x = y?. b) The curves y = x² and y = } – x².

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Q: 2х-1 dx 3 A 2x– 1) 2 1 -(2x- 1)2 + C 3 1 (B) (2x- 1)2 + 등(2x-1)2 + C 10 3 (2x-1)2 + 10 (2x-1)2 + C 3...

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Q: The angle of depression from a window to a rock to the ground is 67.8 degrees. What is the angle of ...

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Q: If y=x^4−5 and dx/dt=−1, find dy/dt at x=−3.

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Q: Given the following functions: f(u)=tan⁡(u) and g(x)=x^8. Find: f(g(x)) = f'(u) = f'(g(x)) ...

A: The given functions,fu=tanu and g(x)=x8

Q: Find a polynomial of degree 3 that has zeros – 1, 1 and 2 such that the coefficents are integers= 2'

A: Let the polynomial equation be(x-α)(x-β)(x-γ)=0where α,β,γ are zeros

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 2x^2−...

A: topic-  tangent lines

Q: Simplify the expression without using a calculator. log0.00001 =

A: This question is based on properties of logarithm.

Q: coth? (x) – csch2(x) = 1

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Q: Use a graphing calculator to find the intervals on which the function is increasing or decreasing 10...

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Q: x+3,if x2

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Q: 1. Express B= 2i +j-3k as the sum of a vect or parallel to A = 3i - j and a vector orthogonal to A. ...

A: To express the vector B→=2i^+j^+3k^ as the sum of a vector to A→=3i^-j^. Solution: let B→=2i^+j^+3k^...

Q: () + () - 2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form 1 a

A: Given ellipse 25x ^ 2 + 9y ^ 2 = 225

Q: Solve the following equation for 0 on the interval [0, 27). -V3 tan (0) – 6 = -3 Enter an exact answ...

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Q: Derivatives y'0 y' 0, y">0 y'>0, y''>0 y'>0, y" 0 y'>0, y"3 .... Choose the correct graph below. 4,

A: topic - curve

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural...

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Q: Determine whether the improper integral diverges or converges. dx e6x + e-6x converges O diverges Ev...

A: The given integral,       ∫0∞1e6x+e-6xdx

Q: f (х) — (х — 1) (х — 3) 12

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Q: D. A student attempts to solve the differential equation dy %3D ry' with the initial condition that ...

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Q: (4-5 vx)* Evaluate the indefinite integral. J

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: onsider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) Evaluate...

A: Consider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) E...

Q: Q2) Find : (a) lim (2 + x) x-4+ 16-x 1-secx 0 sinx cos2x sintx (b) lim (c) lim (d) lim x-0 sin2x cos...

A: Dear student, According to bartleby guidelines when student post more than one question then expert ...

Q: Given the functions f(x) = 3+ Vã, g(x) = x² – 3, h(x) 1 - x m(r): I - 3 find the following: 3x + 5' ...

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Q: Solve the problem. Suppose that the radius r and volume V = tr of a sphere are differentiable functi...

A: Explained below 

Q: y 1.5 2.5 2.5 2.5 2.5 13.68 3.

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a = %3D %3D 3 L(x) = %3D

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Q: Evaluate the indefinite integral. (x2 – 6x + 9)dx , and • Identify what is the u=? and du=? Show the...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Suppose 135 small business firms are threatened by bankruptcy. If y is the number bankrupt by time t...

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Q: The first derivative of a continuous function y = f(x) is given. Find y'" and then sketch the genera...

A: topic -  derivative and graph

Q: 1-1 2. (-1)^- n=1

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Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon ...

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Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: Write out the form of the partial fraction decomposition of the function -V2 a3 – a² + a x³ (x – 1)4...

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Q: The weekly revenue from the production and sale of x units of grain is given by R(x) = 237x - x thou...

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Q: Given vector Á = -3î + 4ĵ and B = î + 2j. Find vector V where magnitude is 3 and the vector is %3D p...

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Q: Determine whether the improper integral diverges or converges. dx

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Q: Find the exact length of the curve on the given interval. Show at least 3 steps to justify your answ...

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Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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Q: I. Use the limit of the rates as Ax approaches zero. Ax 3. y = x3

A: Given: - y=x3, the limit of rates ∆y∆x as ∆x approaches zero. To calculate: - The complete solution ...