Q: d the second derivative of the functi =) = [3x° +6}* a. f" = 90x*(6+3x)ʻ(24+90x°) b. f" = 90x*(6…
A: We have to choose the correct answer from the given options according to the given information
Q: Find the third derivative. f(x) = 6x9 – 8x6 f"(x) = %3D
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Q: How is the graph off (x) = x 3 - l2x 2 + 36x - 16 related to the derivative f'(x) = 3x 2 - 24x + 36?
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Q: suppose a company has revenue function R(x)=10x and the cost function C(x)=2x+100, where x is the…
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Q: Find the derivative of f (x) = x3 - 10x2 + 8 .
A: Given : fx = x3-10x2+8
Q: Find the derivative. y = 5x 4 - 5x 3 7 O 4x3 + 3x2 O 20x3 - 15x2 - 7 O 4x3 + 3x2 - 7 O 20x3- 15x2
A: Given, y = 5x4 -5x3-7 We have to find the derivative of y = 5x4 -5x3-7
Q: Find the derivative. 4 - 6x y = 3x O 12x3 - 18x2 - 7 O 12x3- 18x2 - 4 %3D 4x3 + 3x2 - 7 4x3 + 3x2
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Q: How do you find the 17th derivative of f(x)=2x^15-13x?
A: We can find the 17th derivative as below.
Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =
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Q: Find the derivative of y = 3x² + 5x- 2 from first principles.
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Q: Find the third derivative of f(x)=12x0 –3x² +4x°+5x²+6
A: Given
Q: Find invers of function f(x)=1/2x+1
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Q: Find derivative of f(x) = x^3-5x^2+6x-7
A: The given function is f(x)=x3-5x2+6x-7. To find the derivative of the given function, apply the…
Q: find the extrema of f(x) =2x3-6x on [0,3]
A: Given:
Q: solve using limits f(x) = x^2 + 2x - 3, at f(x) = -4
A: The given function is f(x)=x2+2x-3 at x = -4
Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…
A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of…
Q: The fourth derivative for * 3 points y = x3 - 3x2 + 2 are 6x-6
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Q: Find the derivative of f (x) = 4x-10x2+ 8x-2
A: To solve the following problem
Q: The critical point for the function ƒ(x)= x² – 3x is
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Q: If I have f^-1(x)= -x+1 how can I find f(x)?
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Q: Find derivative of f(x)=(2x2+5)4
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Q: Find the derivative. 2 f(x) = 4√√8x² +9 f'(x) =
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Q: Find the second derivative 3x2/3/ 6x+ 9
A: Let the given function be y - y = 3x236x+9y = 12x23-1+9y = 12x-13+9Differentiating with respect to…
Q: What is the derivative of 6x/((x^3)+3)^2? I think I need to factor out an ((x^3)+3) from the…
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Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =
A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x
Q: 2) y=5x² -9x³
A: Using derivative of power function & subtraction rule of derivative.
Q: Find all local extrema of f (x) = 4x3 – 3x² – 6x + 7 - -
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Q: Use derivative rules to find f'(x). 4. f(x) = (2x² - 3)(3x – 1) %3D
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Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…
A: Formula used:
Q: Find the higher-order derivative 1. f ''(x)=16x^(3)-38x^(2)
A: Derivative
Q: Find derivative of f(x) = x^4-7x^2+8
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Q: Find the second derivative of the polynomial functiony=2x5+3x4−4x3+x2−6.
A: Given Data The polynomial function is f(x)=2x5+3x4-4x3+x2-6. Differentiate the polynomial function…
Q: find the marginal revenue of the function. Using the quotient rule. 40x^2 -20x/x^2-10-2
A: Given: Revenue FunctionRx=40x2-20xx2-10-2 To Find: Marginal Revenue Concept: a. Marginal RevenueMx…
Q: point =)=at x = 2 -5 at x = -2 x² +1
A: Solving
Q: Find the derivative of f (x) = – 5x 5z) (-² + 6x – 6 ) . -
A:
Q: find the critical points of the function f(x)=5x3-75x
A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75
Q: Find derivative of f(x) = x^4+8x-2
A: We have to find the derivative of f(x) = x4 + 8x - 2 We know that if f(x) = xn then f'(x) = nxn-1…
If f(x) = x^2 - 2x + 1, find
(c) f(-1 +√2 )
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- Three components are connected to form a system asshown in the accompanying diagram. Because the componentsin the 2–3 subsystem are connected in parallel, thatsubsystem will function if at least one of the two individualcomponents functions. For the entire system to function,component 1 must function and so must the 2–3 subsystem. The experiment consists of determining the condition ofeach component [S (success) for a functioning componentand F (failure) for a nonfunctioning component].a. Which outcomes are contained in the event A thatexactly two out of the three components function?b. Which outcomes are contained in the event B that atleast two of the components function?c. Which outcomes are contained in the event C that thesystem functions?d. List outcomes in C9, A ø C, A ù C, B ø C, andB ù C.A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi squareA panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in the study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. What method of data collection was used? Select one: a.Experiment b.Observational Study
- A panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in the study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. To test for significance of their findings, which of the following should the dentists use? Select one: a.Paired t-test b.One-sample t-test for a mean c.Linear Regression d.One-sample Z-test for a proportion e.Chi-Square test for independence f.Two-Sample t-test g.One-sample Z-test for a meanHow can we classify experimental designs? Explain one in eachcategory.Fast-food restaurants are always looking for ways to cut down on expenses. Believe it or not, such restaurants may be able to decrease yearly expenses simply by decreasing the size of the paper napkins they provide to patrons. (Such a change also puts the restaurants in a more environmentally friendly position.) Papel Paper Products, a major paper company hoping to infiltrate the restaurant supply market, is considering pitching the smaller-napkin idea to potential restaurant clients. To determine the receptiveness of different restaurants to the idea, Papel surveyed 400 fast-food establishments chosen at random, and looked at the data according to two variables: type of fast-food restaurant ("burger/sandwich", "Chinese/Mexican", or "other") and attitude toward the smaller-napkin idea ("receptive" or "not receptive.") The data are summarized in the contingency table below. Each of the 6 cells of the table contains three numbers: the first number is the observed cell frequency (fO);…
- Fast-food restaurants are always looking for ways to cut down on expenses. Believe it or not, such restaurants may be able to decrease yearly expenses simply by decreasing the size of the paper napkins they provide to patrons. (Such a change also puts the restaurants in a more environmentally friendly position.) Papel Paper Products, a major paper company hoping to infiltrate the restaurant supply market, is considering pitching the smaller-napkin idea to potential restaurant clients. To determine the receptiveness of different restaurants to the idea, Papel surveyed 400 fast-food establishments chosen at random, and looked at the data according to two variables: type of fast-food restaurant ("burger/sandwich", "Chinese/Mexican", or "other") and attitude toward the smaller-napkin idea ("receptive" or "not receptive.") The data are summarized in the contingency table below. Each of the 6 cells of the table contains three numbers: the first number is the observed cell frequency (fO);…A panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in this study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. ******In the sample, 6 of the 30 patients assigned to Brand A were found to have a cavity. The fraction 6/30 should be denoted by which of the following? μ x̄ p p̂ n s σ χ²The space shuttle is about to go up on another flight.With probability pt(z), it will use z type t fuel cells duringthe flight. The shuttle has room for at most W fuel cells. Ifat any time during the flight, all the type t fuel cells burnout, a cost ct will be incurred. Assuming the goal is tominimize the expected cost due to fuel cell shortages, set upa dynamic programming model that could be used todetermine how to stock the space shuttle with fuel cells.There are T different types of fuel cells.
- The Greer Tire company manufactures a new steel-belted radial tire to be sold through a national chain of discount stores. Because the tire is a new product, Greer’s managers believe that the mileage guarantee offered with the tire will be an important factor in the acceptance of the product. Let X = miles that the tires last: X~N(60,000 2,500) Find the mileage guarantee that ensures this company will repair no more than 15% of its product for free. Assume the distribution of tire mileage is normal.The hourly wages of a sample of 130 system analysts are given belowmean=60mode=73median=74range=20variance=324The coefficient of variation equals...?*Please work with your version, don't copy from other sources use table t in doing it 1. A testing engineer is stress testing an Application Programming Interface (API) made by his company on twenty servers from two different vendors. The maximum number of hits from each server from each vendor is as follows (in thousands):Server Vendor A: 42.1 ; 41.3 ; 42.4 ; 43.2 ; 41.8 ; 41.0 ; 41.8 ; 42.8 ; 42,3 ; 42.7Server Vendor B: 42.7 ; 43.8 ; 42.5 ; 43.1 ; 44.0 ; 43.6 ; 43.3 ; 43.5 ; 41.7 ; 44.1It is known that the two stress test data are normally distributed with the same variance.a. Compute the 99% two-sided confidence interval for the difference in the mean number of hits from the servers of the two vendors.b. Compute the 97.5% upper confidence interval (97.5% upper confidence interval) for the difference in the average number of hits from the servers of the two vendors.c. Compute a lower confidence interval of 90% for the difference in the average number of hits from the servers of the…