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Q: Our super fly flies 100m with the wind in 2mins. The return trip against the wind takes 2.5mins find...

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Q: By moving items from one environment to another is found that in doing so, its Temperature T changes...

A: Note: There are multiple questions. No specific question has been asked. So, We will solve the first...

Q: The radius of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of th...

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Q: 3t2 +t A particle moves on a line away from its initial position so that after t seconds its distanc...

A: Given, Distance after t second s = 3t2 + t The velocity of a particle is 25 m/s

Q: The graphs show the amount being paid in Social Security benefits and the amount going into the syst...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Find all values of x where the slope of the tangent line to f(x) = 3x - 5x - 3 is 0. Preview

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Q: 3) Given the function g(x)= 2x² – 5x a) Find the derivative using the limit definition. b) Find the ...

A: Since you have posted multiple subparts, as per our policy we will answer first question. Please rep...

Q: Use the keys on your calculator or graphing utility for converting an angle in degrees, minutes, and...

A: To Determine: Use the keys on your calculator or graphing utility for converting an angle in degrees...

Q: Find the values of a and b that make f continuous everywhere. x² - if x < 2 X - 2 ax? - bx + 1 4x — ...

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Q: Describe a relationship between the graphs of y = sin x and y = cos x.

A: Given- y=sinx and y= cosx. To find- the relationship between the graphs of y=sinx and y= cos x. Conc...

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.2x + 27, find t...

A: MR=-0.2x+27 Marginal revenue is the derivative of the total revenue.

Q: Evaluate the geometric series or state that it diverges. (-0.1)* k=2 Select the correct choice and, ...

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Q: Use synthetic division to divide the first polynomial by the second.3x4-17x3+13x2-19x+20 x-5Th...

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Q: A particle moves with position function s(t) = (t2 + 1)e-t , t ≥ 0. Find the particle’s velocity and...

A: Consider the given position function, st=t2+1e-t, t≥0 The rate of change of position function st i...

Q: 13. How many inflection points can a:(a) quadratic polynomial have?(b) cubic polynomial have?(c) pol...

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Q: Determine whether the graph of equation x2 + y2 = 49 is symmetric with respect to the y-axis, the x-...

A: Given equation: x2+y2=49 Testing of symmetry rules: X-Axis symmetry: In the equation, replace y with...

Q: x+4 if x2

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Q: Partially differentiate the following equations with respect to x1 and x2. Note the superscript stan...

A: Given function is y=5x1+x222 Differentiate y partially with respect to x1 using chain rule of differ...

Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.3x + 500, what is the ...

A: MR=-0.3x+500 Marginal revenue is the derivative of the total revenue. So to find total revenue, inte...

Q: Please

A: Given equation is, y=-14x2+28x+500 a. Graph of the given equation is From this we get the range of ...

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per second...

A: Let s cm be the side of the square formed by the water surface in the inverted and h cm be the water...

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given, limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is constan...

Q: Find the average value gave of the function g on the given interval. g(x) = 9 3 x , [1, ...

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Q: If f(x)=axe^x, where a is a constant. Find the following.

A: f(x)=axexf'(x)=aex+axexf''(x)=aex+aex+axex=2aex+axexf'''(x)=2aex+aex+axex=3aex+axex

Q: 1-2 - Function Notation A verbal description of a function f is given. Find a formula that expresses...

A: 1) Let variable of the function f is x. Now given verbal description of f is, "first square x and th...

Q: Fill in the blank/s : We can rationalize the numerator of [√(x + 7) - √x] / 7 by multiplying the num...

A: To rationalize the numerator of x+7-x7

Q: Find the absolute maximum value of ƒ(x) = x2 ln (1/x) and say where it occurs.

A: Given function is fx=x2ln1x.

Q: a,b,c are all vectors. For the vectors: a = 3i+4k ; b = 2i-j ; c =i+j-5k calculate: 1) vector c • ...

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Q: Make a sign diagram for the derivative of the rational function. f(x) = 6/(x+3) Undefined X = ?

A: Given function, fx=6x+3

Q: Solve compound inequality. 3 ≤ 4x - 3 <19

A: Given: 3≤4x-3<19 for solving given inequality, we add 3 in given inequality