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Q: A port and a radar station are 3 mi apart on a straight shore running east and west. A ship leaves t...

A: Please look at thediagram on white board. I have used the diagram from the question itself and marke...

Q: skecth the graph a) f(x)=(x-2)2(x+3)   b)f(x) = x2-1/x   c)f(x) = 2x/x2-1    d)f(x) = -23 + 7x2 - 2x...

A: To sketch the graph of given function :

Q: Find the area of the following region, expressing your result in terms of the positive integer n 2 2...

A: Obtain the limits of the integral by equating the functions as follows.

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: We first draw a rough sketch of y=3/sqrt(x), y=0, x=5 and x=25. And shade the area between them. 

Q: One of parts (a) and (b) can be integrated with the Power Rule and the other cannot. Integrate with ...

A: (a) can be integrated using power rule. (b) can not be integrated using power rule because (b) has t...

Q: A​ hot-air balloon is 190 ftabove the ground when a motorcycle​ (traveling in a straight line on a h...

A: Let x be the horizontal distance from balloon to motorcycle, y be the vertical distance from the bal...

Q: Show that f(x, y) = ln(x2 + y2) solves Laplace's equation, ∂2z ∂x2  +  ∂2z ∂y2  = 0...

A: Given Laplace’s equation is 

Q: Question 2 Pratice

A: Part A

Q: Calculate the derivative of the function y = (6^6 + 3)^x using the fact that b^x = e^(x ln b) and by...

A: Consider the given function:

Q: PK P (K-P)e 8. Scientists use the Logistic Growth function P(t) = to model population growth where P...

A: The logistic growth function is given by,

Q: Suppose that the cost funtion for a commodity is  C(x)= 300+6x+1/20x^2 dollars (a) Find the marginal...

A: The given Cost function for a commodity is C(x) = 300 + 6x + (1/20)x2.(a) To find the marginal cost ...

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and sp...

Q: How can I get the result? Which is the result?

A:

Q: Find the exact value of log10(15/4)+log10(4000/15)

A: Given information:The given expression is  

Q: I need help with this please. How do I find the volume generated by revolving the region bounded by ...

A: Given information:The region bounded by y = -sinx and y=0, from x= -2pi to x=0, about the x-axis

Q: How do I solve this differential equation using P(x), Q(x) and v(x)?

A: The given differential equation is,

Q: Does the series converge absolutely, converge conditionally, or diverge?

A: The given series is

Q: Find the point P on the line y = 5x that is closest to the point (52,0).  What is the least distance...

A: Given:The equation of the line is y = 5x.(52,0) is the closest point to the point P which line on th...

Q: how to find  Find the exact length of the polar curve. r = θ2,    0 ≤ θ ≤ 7π/4

A:  The polar curve I given as, r = θ2,    0 ≤ θ ≤ 7π/4.The formula to calculate the exact length of th...

Q: How can I get the result? Which is the result?

A: The given function is given by

Q: Suppose that the rate at which the concentration of a drug in the blood changes with respect to time...

A: Given:The rate of change of concentration of a drug in blood with respect to time t is 

Q: Use the Divergence Theorem to compute the net outward flux of the field F=<x,2y,-z> across the...

A: From the Divergence theorem, for a positively oriented boundary surface (outward Normal) of region E...

Q: If y (x25x-1)e2x then y (3x2-10x+7)e2x O (2.7x+4)e2x O(22+ 12x + 3)e2x (2x+5)32x (2x 52-1

A: Given, 

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in ...

A: Let the polar coordinates of given point are ( rcos(thita), rsin(thita)) as shown on board.By compar...

Q: The number of miligrams x of a medication in the bloodstream t hours after a dose is taken can be mo...

A: we are given a function  

Q: How do you set up the line integral for y=x(6-x) boundary?

A: The vector field is given by,

Q: An important question about many functions concerns the existence and location of fixed points.  A f...

A: Given functions are f(x) = 17x cos x  and f(x)=x. We graph them first and find where do they meet on...

Q: Optimization Problem A rectangle is constructed with its base on the diameter of a semicircle with r...

A: a)Let x and y be the base and height of the rectangle, respectively.Given that, the rectangle is con...

Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2].   please show and expla...

A: The function is given by,

Q: Which of the following limits could be evaluated using L'Hopital's Rule? Indicate all the apply. Sel...

A: (A) This limit was not in form 0/0 or infinity/infinity. So we can\'t apply L\'Hospital\'s rule for ...

Q: A) and B) please! I keep trying hahah.

A: To determine the correct choice from (A) and (B) by calculating the position function using antideri...

Q: (2x-3)4 dx 10

A: Given:The integral is 

Q: Please help. Does the series below converge or diverge? Give a reason for your answer. (When checkin...

A: The given series is

Q: For the following function f, find the antiderivative F that satisfies the given condition.   F(v) =

A: First, we find the general solution using integration. 

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the ...

A: The given curve is y = x^2/3, x=1 and y=0. 

Q: 2. Given the given function f(x) = x+defined on the interval [1, 3], determine if the function satis...

A: The given function is continuous and differentiable on the whole real numbers except zero. In partic...

Q: (x4x2.3) dx = O 5x5-33+3x+ C 4x3 -2x +C 3 3x C 3 4x3 - 2x C (x4-x2+3)2 C

A:

Q: Please help me solve this differential equation.

A: Let, z=x-y

Q: Help on #2

A: To find the arc length of r(t)=i+tj+2tk in the interval [1,2]

Q: x24x 3 + x 1 = xp 7x2 - 2x + C In)x - 1C Inx C 6x 3 Inlx 1 + C 2 5x + 2 Inx 1 C

A: Consider the integral is

Q: Find the relative maxima, relative minima, horizontal points of inflection, and sketch the graph for...

A: The given function is,

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: Please help me with this differential equation and identify P(x), Q(x) and v(x).

A: The general form of first order  linear differential equation is shown on board

Q: (3x2+5)8x-92 fy(1x4 + x2 logarithmic differentiation gives y (32+5)(8r-92 1x44+x2 16 2x 3x2+5 6-x9 6...

A: We have to find derivative using lograthmic differentiation .Question is given below:

Q: The growth of Mary's income is modelled using the continuous stream f(t)=3,000+0.05t2 where t is the...

A: Given:The growth of Mary’s income is represented by the continuous stream f(t)=3000+0.05t2.Here, t r...

Q: 3 dx = 1 2x 8 In 국 5 -4 In 2 In을 -2 In -8 In LOn LOn

A: Obtain the value of the integral as follows.The given integral is,

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x. 

Q: 21 If fx)3then f(x) O 2x-2-1 3x 2x-3r2-3 3x O 2x-3x2-3 6x 2x 3x+2 O 2x-x2-1

A: Find the derivative of the given function.

Q: Determine the following indefinite integral. 324 dx, x> In 18 A dx 324- e2x Type an exact answer. Us...

A: The given integral is,

Q: I need help please.

A: Rewrite the given series and proceed further.