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Q: During the first four months of employment, the monthly sales S (in thousands of dollars) for a new ...

A: Part (a)S= S(x)= 9 / x + 10 + x / 4, x ≥ 4The given function is defined only for x ≥ 4. We don't hav...

Q: s9-3x then y If y O 89-3x)4 25 O 819-3x)4 25 O 8(0-3x)4 O -24(9-3x)4 O 24(9-3x)4

A: The function is given by,

Q: Logarithmic Differentiation - See attachment

A: Find the derivative of the given function.

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y 10x ...

A: Given:

Q: Calculate S3, S, and S5 and then find the sum for the telescoping series 410 n3n1 n +2 n-3 where Sk ...

A: to determine the first few partial sums and the sum to infinity of the given telescoping series

Q: How does the limiting behavior of solutions depend on the value of y(0)?

A: Given autonomus differential equation:Graph of function f is given.We need to show the the limiting ...

Q: The hyperbolic cosine function, denoted cosh x, is used to model the shape of a hanging cable (a tel...

A: Given information:Tyhe given function is cosh(x).

Q: Differentiate y = (s - sqrt(s) ) / s^2 I don't understand what happens on step 3 of the screenshot...

A: Here use quotient rule of differentiation which is,

Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...

A: We have been given a power series and we are required to find its radius of convergence as well as i...

Q: Which of the following is the power series representation for p(x)? A. B. 8+k -3 -3 k k 1 k k 1 O C....

A: Refer to the question,To find the interval of convergence of the provided series,

Q: approximate the area under the graph of f(x) and above using the x-axis using the following methods ...

A: Given infromation:The given function is f(x)=2/x from x=1 from x=9.

Q: y′=−2ex −2x2 +3x+6 y(0)=5 Solve the initial value problem above. Do not include "y=" in your answer.

A: Given that y′ = -2ex -2x2 +3x +6; y(0) = 5.That is dy/dx = -2ex -2x2 +3x +6.dy =( -2ex -2x2 +3x +6...

Q: find the domain and range of f(x)=X5+x (the last x is supposed to be squared) and domain and range o...

A: Given information:The given function is f(x)=X5+x^2 and g(y)=1/y-2.

Q: 3. Given the function g(x) 8x defined on [-1, 1], determine if the function satisfies the Mean Value...

A: Given,

Q: Let H(x)=4f(x) + 5g(x), where the graphs of f and g are shown in the figure. Find H`(1).

A: Firstly, we find the function y=f(x) , which is linear function , as it is a equation of straight ...

Q: When converted to an iterated integral, the following double integral is easier to evaluate in one o...

A: Given information:The given integral function is shown below:

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

A: The given function is,

Q: Help please.

A: The given function is (tan-1x)2.

Q: Find the area, in square units, bounded by f(x)=3x+5 and g(x)=2x+1 over the interval [0,12]. Do not ...

A: Area of region between f(x) and g(x) over the interval [0,12] is computed as follows.

Q: 1) if a•b = a•c and a ≠ 0 does b = cExplain 2) axb = axc and a ≠ 0 does b = cExplain

A: (i)Consider a.b = a.cSince a ≠ 0, dividing both the sides by a, (ii)Consider axb = axcSince a ≠ 0, d...

Q: find the exact length of the curve of the equation in the picture below make sure to show all work

A: The given curve equation is,

Q: Find the position and velocity of an object moving along a straight line with the given acceleratio...

A: Obtain the velocity as follows.

Q: Hello, How is tan^-1 (tan (6pi/7)=-pi/7 possible? I don't know how it should be a negative or to use...

A: First consider:

Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...

A: Obtain the value of the integral as follows.

Q: Find the derivative of y with respect to x.

A: Given:The function

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: Is y=e6x −3x−2 a solution to the differential equation shown below? y′−6y=7x+3

A: Here given differential equation is:Find the solution of given differential equation and match the g...

Q: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and...

A: The equation of the plane is

Q: Please sketch this by hand! And show all your steps as im doing my best to fully understand the proc...

A: (A) The function has an absolute maximum but no local maximum. This means the graph is strictly incr...

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

A: (a)Complete the table below analytically:

Q: I need help on how to contruct the definite integral needed to find the area of the geometric shape ...

A: Formula of area of triangle is = (1/2)*b*h, where b=base, h=height

Q: Determine the area, in square units, of the region bounded by g(x)=6x+12 and f(x)=x2 +7x−8 over the ...

A: We have to find the area under the curve of g(x), then substract the area under the curve of f(x). T...

Q: Question 2 Pratice

A: Part A

Q: a. find the critical points of f on the given interval b. Determine the absolute extreme values of f...

A: Given information:The given function is .

Q: What is the particular solution for y′=−6x+3 that passes through the point (−4,−8)? Do not include "...

A: The given differential equations is y′=−6x+3.

Q: What is the position at time t of a car that is accelerating at a rate of 5 meters per second square...

A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)

Q: Evaluate the following integral as written. Please refer to attached image.

A: It's aquestion of double integral. We will first evalaute the integral with respect to x, put the l...

Q: FIND THE DERIVATIVE OF THE FUNCTIONy=0.6e to the fifth(x) degree

A: The given function "y" is shown on the white board. We need to find its derivative. Before we get in...

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

A: To find two positive numbers whose sum is 210 and whose product is a maximum.(a) Analytically comple...

Q: Product Radius (inches) Height (inches) Volume (cubic inches) Baking power 1.25 3.65 ...

A: Assuming all the items are in cylindrical shape. Look for the coffee can: The volume V is 62.12 in3;...

Q: The DeWitt Company has found that the rate of change of its average cost for product is C'(x)=(1/4)-...

A: Given information:The DeWitt Company has found that the rate of change of its average cost for produ...

Q: 7n 5-4n For the following answer blanks, decide whether the given sequence or series is convergent o...

A: (a)we are given a series as

Q: I did the test points but not sure how to answer??? It’s positive when less than 3, less than 0 and ...

A: To determine when the motion is in the positive direction and when it is in the negative direction.

Q: Calculate the area, in square units, bounded above by g(x)=2x+4 and below by f(x)=3x+9 over the inte...

A: Area of region between g(x) and f(x) over the interval [-26,-23] is computed as follows.

Q: The problem and graph are imbedded in the image.

A: Given information:An arch is 645cft high and has a 600ft base. It can be modeled by the parabola

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

A: The given series is

Q: Consider an object moving along a line given the velocity v. Assume t is time measured in seconds an...

A: To find the direction we have to graph the function v(t)=2t^2-16t+24;[0,7]And then we check the inte...

Q: 3x2-3 and y(0) = 8, then y(1) = If dx 4. 12. 0. 8 6.

A: As a first step, let\'s rearrange the term. Please see the white board.

Q: Find the function which solves the initial value problem dy/dx= 3ex −2x; y(0)=−1.

A: Given that dy/dx = 3ex-2x; y(0) = 1.dy = (3ex-2x)dx (By cross multiplying)Integrate on ...

Q: 2x 1 dx 3 (2x-1+C 6 C 2 x2-x C 3x

A: Given:The integral is