The size of an exponentially growing bacteria colony doubles in 4 hours. How long will it take for the number of bacteria to triple? Give your answer in exact form and decimal form Exact: hours Decimal (round to two decimal places): hours

Q: Find the indefinite integral. (Use C for the constant of integration.) dw

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. f(x)=x…

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Q: Use the given function and the given interval to complete parts a and b. f(x) = -2x³ +39x² - 240x on…

A: Part (a) Given: fx=−2x3+39x2−240x   Now find the derivative of the function: f'x=−6x2+78x−240   Now…

Q: Use term-by-term differentiation or integration to find a power series centered at x = 0 for: f(x) -…

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Q: The function f(x) 2x³ local minimum and one local maximum. This function has a local minimum at x =…

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Q: 12. Use the Comparison Test or the Limit the series is convergent or divergent. Turn in at least two…

A: Question-12(a) . NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: Let R be a rector - valued function defined by R(t) = cost + +1,et) if t#0 ¡ J - K if t = 0 a. Find…

A: Aim:  To determine the continuity of R→t at t=0. -------------------------Given: R→t=1-costt, t+1,…

Q: A laser pointer is placed on a platform that rotates at a rate of 18 revolutions per minute. The…

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Q: Find all points (x, y) on the graph of f(x) = x³ - 3x² + 12x + 17 with tangent lines parallel to the…

A: we will find the required.

Q: Find the average value of the function over the given interval. f(x) = 3√x on [0, 9]

A: f(x)= 3x1/2 a=0 and b=9

Q: Consider the function f(x) = 7 - 2x² on the interval [-3, 6]. Find the average or mean slope of the…

A: Given function, f(x)=7-2x2

Q: Evaluate ]]] (42³ + 3y² + 2x)dV B = {(x, y, z) | 0 ≤ x ≤ 3,0 ≤ y ≤ 4,0 ≤ z ≤ 2}.

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Q: Draw v = AB and the vector equal to v with the initial point at the origin. Find the component form…

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Q: Find the radius of convergence of the power series 을 1/(x-3)^ n=0 2

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Q: nd the slope of the graph of the function g(x) = aph at that point. he slope of the graph of the…

A: The equation of the line tangent to the curve g(x) at point (a,b) is given as   (y-b)=m*(x-a)…

Q: Based on what is known by the Taylor series, how could I deetermine the Taylor series generated by:…

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Q: Find the form of yp to use in the method of undetermined coefficients y" - 2y+3y=e³x + xex a. Ae³x…

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Q: A block of mass m = 5.50 kg is released from rest from point 3.20 m 2.00 m (a) Determine the block's…

A: We have to find the speed and work done.

Q: Evaluate let flx) = 4x-1 |f'(x) = 4 + g(x) = ex g(x) = ex |S (4x-1) e* dx = (4x-1) ex - Sex. 4 dx =…

A: Check the given integration is wright or not.  ∫(4x-1)exdx

Q: Evaluate the line integral, where C is the given curve. [x³y√z dz, C: x = 5, y=t₁, z=t², 0sts1

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Q: A particle moves with position Function S= +"-41³-20t+ 20+ where t=0

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Q: 23-28 Use a linear approximation (or differentials) to estimate the given number. 26. 100.5

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Q: All parts of this problem refer to the function below. a) Use logarithmic differentiation to find dy…

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Q: 11. Find the tangent to the curve f(x) = 5x²-2x at x = -1. Express answer exactly in terms of e (not…

A: Given query is to find tangent at x = -1.

Q: It costs Charlie $7$⁢7 to build a certain birdhouse. He estimates that, if he charges x dollars per…

A: It costs Charlie $7 he charges x dollars per birdhouse selling price = x  he can sell 99−5x

Q: Given the following vectors A=-4a +3a-2a B=a + 5a +7a X y 2 X C=-2a-4a +6a y Evaluate AX (BXC)

A: A→=-4ax+3ay-2az B→=ax+5ay+7az C→=-2ax-4ay+6az To evaluate: A→×B→×C→

Q: (t) = e-ti+e¹j+ √2 tk

A: Given query is to find velocity and acceleration vector.

Q: If R (t) = e-ti + et j + √2 tk a) Find the velocity and acceleration vectors. b) Find the speed,…

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. 5 3 f(x) =…

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Q: Find the indefinite integral. [Hint: Use some algebra first.) (Use C for the constant of…

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Q: 3x Find the linearization L(x) of f(x) = cotx at x = 4

A: As we know the expression for linearization: Lx=fx0+f'x0x-x0   Given: fx=cotx, x=3π4

Q: how many units and in what directions the graphs of the given equations are to be shifted. Give an…

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Q: If R(t) = e-ti + et j + √2 tk a) Find the velocity and acceleration vectors. b) Find the speed,…

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Q: box with an open top has a square base and four sides of equal height. The volume of the box is 98…

A: Given query is to find dimensions of the box.

Q: Solve for x: log₂ (log₂ x) = 2 X =

A: The answer is given below:

Q: Classify the following ordinary differential equation by ORDER and state the DEPENDENT and…

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Q: Use cylindrical coordinates to find the volume and center of mass (assuming constant density) of the…

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Q: n=1 n³ (a) Σ n=1 Conve 11. Use the Integral vergent. Make su answer. Turn in at 2 4n+ 5

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Q: Two consecutive odd numbers have a sum of 56. What is the square of the larger odd number?

A: Let one the odd numbers be x

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

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Q: If a population grows 10 % each year, what is the annual continuous (relative) growth rate? O 10.00…

A: Given query is find relative continuous growth.

Q: Use a definite integral to find the area under the curve between the given x-values. f(x)=8-4√√x…

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Q: At what points is the function y = x + 4 2 x -5x+4 continuous? Describe the set of x-values where…

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Q: Differentiate y ' 1+ 1 ਕਲਿਜਲ z+Vi+va 1+

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Q: Given an interest rate of 2.5% compounded continuously and starting principal of $10000, determine…

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Q: dy Implicitly da Ody dx dy dx dy da dy da = = 1-2xy x² 1-2xy x 1-2xy x3 = 1 - 2xy x²y = x + 1

A: x2y = x+1  we have to find derivative  dy/dx = ? further calculation is given below

Q: By using the comparison method for integrals, we can prove the following inequalities. A: o…

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Q: Find the area of the shaded region. x = y²-6 y (-27/4, 9/2) - 10 -5 x=3y-y² y 00 4 2 -2 Y X

A: Let,   f(y)=3y-y2 and  g(y)=y2-6y The end points are y=0 and y=9/2 So, the area is given by:…

Q: Let C₁ be a curve defined by the vector function R(t) = √2 coś tỉ+ sin tj+ sint k a) Find the moving…

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. f(x)=x 8 3 -…

A: The c option is true