During testing of a certain brand of air purifier, the amount of smoke remaining (as a percent of the original amount) t min after the start of the test was given by the following function -0.00006t5 + 0.00468t4 - 0.1394t31.759t2 - 17.63t A(t) 92 Compute the following values. A'(10) A(10)= Need Help? Watch It Talk to a Tutor

Q: Let   g(t) =  8(t − 1) (t + 4)2 . g' (t) =  A(t− B) (t+C)D , whereA = B = C = D = g'...

A: The given function and their first and second order derivative forms are

Q: The figure below shows a graph of the given function k(x) x + 1/x. k(x) (a) Sketch a slope graph of ...

A:

Q: Let f(x)=8x^2−8x^4. Find the open intervals on which ff is increasing (decreasing). Then determine t...

A: The question concerns the extreme values (maxima, minima) of the given function

Q: The graph shows the average annual fuel consumption of vehicles in the United States between 1970 an...

A: The tangent lines for the years 1982, 1990, 1995 and 2000 are shown in below figure.

Q: Write a polynomial with real coefficient have degree 4 and zeros -1,2,1-2i Find all zeros write answ...

A: Given that

Q: Use the truth statements to show the statements are equivalent logic, tautology

A:

Q: How do I find the x-coordinate of the point of inflection of f(x)=x(x-8(x)^(1/2))?

A: According to the given information the given function whose x coordinates of the point of inflection...

Q: problem in photo attached

A: Given a function,

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a No...

A: A Norman window has the shape of a rectangle surmounted by a semicircle. This implies that the diame...

Q: r4 2V dx Vx 15. 1

A: The integral is given by,

Q: A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $11 the ave...

A: Given that a baseball team plays in a stadium that holds 54000 spectators. With the ticket price at ...

Q: Calculus Question

A: Consider the given function:

Q: Let f (x) = x5 + x3 + 2x − 1?The function f is increasing on the following interval(s):     (a, b)...

A:

Q: (a) A wire of length 3 is cut into two pieces which are then bent into the shape of a circle of radi...

A: Given that wire length is 3 and cut into two part and make as a circle and square

Q: Problem 2 Parts A and B please

A: (a)Given information:

Q: The curve y = a x 2 + b x + c passes through the point ( 1 , 2 ) . The line y = 2 x + 1 is tangent t...

A: Given that the curve passes through a point.

Q: 11. The price demand per camera of a manufacturer of digital cameras is p(x)94.8-5, where 1 < x < 15...

A: The price demand function is given by,

Q: In this question, how was the range for theta, 0=&lt;theta=&lt; pi/6, derived from the given conditi...

A: To find the limits for the polar coordinates corresponding to the given region of integration

Q: Can you help me step by step?

A: Find the critical points of the given function: 

Q: An apple grower finds that if she plants 40 trees per acre, each tree will yield 230 bushels of appl...

A: Let x be the number of additional tress.From the given information, the total number of trees is (40...

Q: problem in photo attached

A: The area under the given curve y = f(x) between x = a to x = b is given by the integral of f(x)dx ov...

Q: Related rates The Incredibles are trapped in an enclosed cone-shaped reservoir that stands point dow...

A: The provided information are as follows            Height of the cone = 10 ft            radius of t...

Q: Calculus Question

A: Given,          The radius of the spherical ball is increasing at a rate of 0.9 cm2/min and radius i...

Q: 82 and 83 Find the points on the curve where the tangent is horizontal or vertical. If you have a gr...

A: Given parametric equations are  

Q: 24. Let p 500 0.025 and C(z) = 350x + 50000 be the price-demand equation and the monthly cost, respe...

A: Given thatPrice – demand function

Q: How do I solve dx/dt+2x=3 with a particular solution of xp=3/2?

A: To find the general solution of the equation, given the particular solution

Q: 2.7 Can you show me the steps to solve step e? 1) f(t) = t^3 - 9t^2 +24t e) Find the total distance ...

A:

Q: Differentiate the function.   D=11−lnp

A: Given function is

Q: diffrentiate

A:

Q: Solve #70.

A: Given,

Q: Clolot301-10m 13(01 rttErE13t)EEATHETK 2. 37 Fnd the tandenttal and norma acceratiaK rE=(2F hon c on...

A:

Q: 1. Write the derivative formula for each function. Use proper notation and equal signs. 12 b. h(x) a...

A: Hey, since there are multiple subparts posted, we will answer first 3 questions. If you want any spe...

Q: For all x that satisfy |x| &lt;(1/4), | cos x−(1−x^2/2)| is less than or equal to what numerical val...

A: First case:

Q: Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week ...

A: The given function is shown below:

Q: Use a linear approximation (or differentials) to estimate the given number. (1.999)5

A: Given term is (1.999)5Let x = 1.999

Q: Find the derivative  f(x) = cos-1(3x) sin-1(3x)

A: To differentiate the function with respect to x.

Q: A spherical snowball melts at a rate proportional to its surface area. Show that the rate of change ...

A: Given that spherical snow ball melts at a rate proportional to its surface areaShow that rate of cha...

Q: $280 for a party of 5, cost per plate is $15, write an equation that models the cost of a dinner.

A: The cost per plate is given as $15 and the total production cost is $280 for the party of 5.The cost...

Q: dy du and du' dx dy Find dx 55 and u 3x + 2x y=u dy du du dx dy dx 히즘

A: Given:

Q: You set up a camera stand to videotape a race 132 ft from the race track. You are videotaping a race...

A: Given a video tape is set up at 132 ft from a race track. The car approaches the point with the spee...

Q: Use implicit differentiation to find y' for xy-3x-4=0 y- y's E your and ww

A: To find y' by implicit differentiation, (without expressing y in terms of x)

Q: Calculus Question

A: Let t represent time in seconds. Now the point is moving on the graph x y = 35 Differentiating (impl...

Q: #55

A: We need to evaluate the given integral using the method of partial fractions as well as trigonometri...

Q: 27. How long will it take money to double if it invested at 6% compounded monthly? 9% compounded con...

A: If P=initial investment, r = interest rate compounded monthly  and A= amount after t years , then we...

Q: How do I find the x-coordinate of the point of inflection of f(x)=x(x-8^(1/2))?

A: The given function is,

Q: 7 Exercise 5: Calculate the following limits, using the 6-e definition of a limit (i.e., provide an ...

A: Hey, since there are multiple questions posted, we will answer first three sub parts question. If yo...

Q: 31. | V36 — 9х2 dх

A: Use trigonometric substitution x=2sint.

Q: using L'Hospitals Rule what is the limx-&gt;0+ (x-1)*(-cscx)

A: Simplify the given expression using x^-1=1/x and cscx=1/sinx

Q: This exercise uses the population growth model. The population of a country has a relative growth ra...

A: Consider the given information:

Q: Use the graph of f' to identify the critical numbers of f, identify the open interval (s) on which f...

A: As given curve is a straight line so f’ is a straight lineLet given line is