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Q: Which is the result?

A: We are given a function as

Q: The sales of a product S(in thousands of dollars) are given by S= 600x/x+40 where x is the advertisi...

A: Given:The function that repesents the sales of a product S is

Q: Evaluate the integral. Integral from nothing to nothing hyperbolic cotangent StartFraction x Over ...

A: Refer to the integral,Rewrite the hyperbolic cotangent as,

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: We have to plug x=5 first in the given expression.

Q: Activity 6 Related Rates of 96 fi/min . How fast is the 11. A spherical hot air balloon is inflated ...

A: Firstly, we find dr/dt by using the formula of volume of sphere .We differentiate V with respect to ...

Q: find the inverse of y from the function that is in the picture below

A: Giveninformation:The given function is

Q: Help with #4

A: Click to see the answer

Q: a. Write the equation of the line that represents the linear approximation to the following function...

A: We have to find f'(x) first.

Q: How can I do this? Which is the result?

A: Given:The function is

Q: Use the following definitions to prove that lim x 0 x0+ Assume f exists for all x near a with x > a....

A: The given limit function is,

Q: Activity 4 the Derivative of Inverse Trigonometric Functions 9. Without technology find the derivati...

A: The given functions are y = sin–1(4x), y = cos–1(lnx), y = tan–1(e2x), y = x(sin-1(x))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: Help please..

A: The general Taylor series for ex at x = 0 is as follows.

Q: If p 8m2-9m + 3, then the rate of change of p with respect to m when m 1 is 16. 1 -9, 7. 2.

A: Approach:A clear relationship between "p" and "m" is given"p" is dependent variable while "m" is the...

Q: y′−y=2x+5 y(0)=−6 Given the initial value problem above, determine if y=ex −2x−7 is a solution.

A: The given differential equation is y′−y=2x+5.The solution of the deferential equation is given as, y...

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: we are given a graph and locate direction

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: 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: 150 100 50 20 40 60 3. Suppose that a population develops according to the logistic equation (c) Use...

A: Given that a population develops according to the logistic equation

Q: lim x→3(2x3 -12x2 +5x+3)

A: We have to evaluate the limit as shown on white board.Let’s call (2x3 - 12x2 + 5x + 3) as f(x)

Q: Find the derivative of y with respect to x

A: we are given an inverse function

Q: Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed cos...

A: We are given marginal cost

Q: could you help me with this problem please

A: Given,

Q: A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = -2 sin (pi...

A: To find the position function we integrate velocity function and use s(0)=2.Answer(A): Position func...

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

A: (a)we are given a function

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: y′=3x−2 Find the particular solution to the equation shown above that passes through the point (−10,...

A: Firstly, we separate the variables x and y, and then integrate both sides.

Q: What's the domain of x-1 / (1 - e^(x - 3))

A: Since this function is a rational function, the denominator can't be equal to 0.

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

A: Click to see the answer

Q: Help me please

A: The general Taylor series for sin x at x = 0 is as follows.

Q: Approximate the area of the shaded region using the Trapezoidal Rule and Simpson's Rule with n = 4. ...

A: Given information:The value of n is 4.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given curve:and region bound are:We need to find the volume of solid obtained by the given curve for...

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: Need a,b, and c please!

A: The given equation is s = –0.2t2 + 12t and the velocity is v =12 m/s. a. Obtain the velocity v of th...

Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that...

A: To find the number of units completed in t hours by the new employee, integrate the rate of performa...

Q: Use the graph of f` and f`` to find the critical points and inflection points of f, the intervals on...

A: The graph of f’ and f’’ is given,

Q: please show ALL your steps

A: we are given a function

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: Find the area of the following surface using a parametric description of the surface. The cap of t...

A: Consider the surface that is the cap of sphere:

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

A: We have to find limits.Question is given below:

Q: Differentiate the function. f(x) = (3x5 − 2)18

A: Consider the function:

Q: How do you set up the integral?

A: Given a triangle with function and the vertices,

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

A: The given series is

Q: Determine whether the following series converges. Justify your answer 9(4k)! Σ k=1 (kl)* Select the ...

A: Consider the given series:

Q: differentiate f(t) = t^(1/3)/ (t-3) On the solution guide on the first step for the numerator, we ha...

A: Explanation:Consider the term t1/3.It is known that adding and subtracting a same number to any numb...

Q: 1) If an odd function h(x) has a local maximum value at x c, can anything be said about h at the val...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Determine if y=e2x −x+1 is a solution to y′−2x=−3+2y.

A: The given differential equation is y′−2x=−3+2y.The solution of the deferential equation is given as...