Q: Lesson 4.1b Certify Mode Questi x Order Derivatives: th x A learn.hawkeslearning.com/Portal/Lesson/l...
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A: We can find the derivative as below using the product rule
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A: Just take the derivative of given function and get the required solution.
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A: This question can be solved by first plotting the graphs to get the feel of the area enclosed.
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Q: Hew-2 Verify that Wxy Wyx fer the functions's T- R(Xsy) = Lu (2X +34) f cxッy) é^+x Luy +y Lnx 2-
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A: Given: ∫dxx24+x2 Perform trigonometric substitution: substitute x=2tanu→u=arctanx2 ...
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Q: Consider 5 a8 +2 x2 +2 sin(x)–2 f(x) = %3D -28+5 x+5 Find the behaviour of f(x) as x → oo. • If lim ...
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A: Explanation of the answer is as follows
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Q: f0) = x² – 6VÃ+ 3 %3D Step 2 of 2: Use the Second Derivative Test to locate any local maximum or min...
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Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x3, x =...
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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...
A: Basic identities of derivative are used.
Q: Astivity 3 tind the detNe of 2メー3 うメース ensing the definitiom -
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Q: onsider the points A(3, -3,3), B(4, –5, 1), C(-2, –-4, 1), and (6, 3, -5). -) Find the volume of the...
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A: Topic = Derivative
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Q: y x, y+ 2x = 8. Identify the volume generated by revolving amd y = 0, rotated about the y-axis.
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A: Given, y=sinx , y=sin4x from 0≤x≤π2To find : Find the area bounded by the curves.
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Q: ctivity 2. Answer the following problems. 1. A child is flying a kite at a height of 40 ft, that is,...
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A: We have to complete the truth table and to find the following question.
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Q: Find the area bounded by y = sin²(x) and y = sin³ (x) from< xS n.
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Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2
A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint ...(1)y=1-sintdydt=-c...
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Q: Consider the parallelepiped with adjacent edges u = 5i + 5j + k v = i+j+ 8k w = i+ 5j + 7k Find the ...
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Q: 3 dx dy +zXxgd x = X %3D Ans: y
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Q: Consider 5 28 +2 x2 +2 sin(x)–2 -28+5x+5 f(x) = Find the behaviour of f(x) as x → 0. • If lim f(x) e...
A: Here, f(x)=5x8+2x2+2sin(x)-2-x8+5x+5
Q: (c) Same direction as the vector from the point A(-1,0,4) to the point B(4,3, 3). 1 i + 2 w = k - 6.
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Q: Given the following differential equations, use an appropriate method to find for the solution.
A: Solving the differential equation by seperation of variables
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Q: Solve for the derivative of the following and simplify if possible. f(x) = 2 cos x - 6 sec x + 3
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Q: 2 cos @ dӨ . 1- sin 0
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Q: Find S z? sin z dz
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Q: Find the area bounded by y = sin(x) and y = sin*(x) from 0 < x<.
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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...
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Q: Which of the following equations is an exact DE? O (10x^2 +5)dx-20xydy%3D0 O (2xy-3x^2)dx+(x^2-2y) d...
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Q: -T/2 Evaluate using Wallis' Formula: sins x cos6 x dx
A: Use Wallis formula.
Q: x² + ax + 2bx + 2ab + 2x² – ax² + 6bx² dx x* + ax² + 2bx² + 2abx²
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- need to show the 5 step hypothesisStudents who arrive to class early do just as well on the homework as those who arrive to class late. Alternative hypothesis Null hypothesisCalcium is the most abundant mineral in the human body and has several important functions. Most body calcium is stored in the bones and teeth, where it functions to support theirstructure. Recommendations for calcium are provided in Dietary Reference Intakes, developed by theInstitute of Medicine of the National Academy of Sciences. The recommended adequate intake (RAI) of calcium for adults (ages 19–50 years) is 1000 milligrams (mg) per day. Suppose that we want to perform a hypothesis test to decide whether the average adult with an income below the poverty level gets less than the RAI of 1000 mg.a. Determine the null hypothesis for the hypothesis test.b. Determine the alternative hypothesis for the hypothesis test.c. Classify the hypothesis test as two tailed, left tailed, or right tailed.
- A mutation in Gene A is thought to be associated with a disease. The mutation in Gene A is found in 5% of the population. 2% of the whole population is diagnosed with disease B at some point in their life time. 1% of the population both has the mutation and also gets diagnosed with the disease in their life time. Is the provided data adequate to test the independency of mutation in Gene A and occurrence of Disease B? If it is not, what other information or data is needed to test the independency? What is the probability of Disease B, among the individuals with the mutation in Gene A? What is the probability of having the mutation in Gene A among the individuals with Disease B? If an individual has the mutated Gene A, what is their Relative Risk of developing the disease?A study is run to evaluate the effectiveness of an exercise program in reducing systolic blood pressure in patients with pre-hypertension (defined as a systolic blood pressure between 120-139 mmHg or a diastolic blood pressure between 80-89 mmHg). A total of 7 patients with pre-hypertension enroll in the study, and their systolic blood pressures are measured. Each patient then participates in an exercise training program where they learn proper techniques and execution of a series of exercises. Patients are instructed to do the exercise program 3 times per week for 6 weeks. After 6 weeks, systolic blood pressures are again measured. The data are shown below. Is there is a difference in systolic blood pressures after participating in the exercise program as compared to before? State the hypotheses. What statistical test should be used to determine if there is a difference in systolic blood pressures before and after the exercise program? Determine the appropriate critical value and set…please help me out. show full working out for better understanding Hereditary hemochromatosis (HH) is a recessively inherited genetic disorder resulting from mutations in the HFE gene. There are several possible mutations of different degrees of importance but the disease expresses itself only when at least 2 arepresent in any one individual. A blood analysis was performed on 3,000 blood samples from newborn babies of Caucasian descent in the state of Michigan, USA. The results showed that 163 of those sampled carried two mutations in the HFE gene. a. What is the proportion in the sample that carry the two mutations of the HFE gene? b. Calculate the 95% confidence interval for the proportion of this population that carries two mutations in the HFE Check the data for the necessary conditions and show full working. c. Interpret your interval in context d. If the researcher wanted to halve (x ½) the margin of error in the confidence interval found, what sample size would be required…
- A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, “Participants in our program lose more than 4 pounds within a month.” Six clients of this program are weighed on the first day of the diet and then one month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. (You may find it useful to reference the appropriate table: z table or t table) (Image is table) a. Specify the null and alternative hypotheses that test the diet center’s claim. (Which is Correct) H0: μD = 4; HA: μD ≠ 4 H0: μD ≥ 4; HA: μD < 4 H0: μD ≤ 4; HA: μD > 4 b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test Statistic = c. Find the p-value. p-value < 0.01 0.05 ≤ p-value < 0.10 p-value ≥0.10 0.025≤ p-value < 0.05 0.01 ≤…A drug is tested to determine if it lowers cholesterol levels. A sample of patients have their levels recorded before and after being given a series of treatments of the drug. Select the correct conclusion using the appropriate test at the 0.10 level of significance. Before 205 255 220 195 225 275 240 . 230 After 185 210 205 180 210 250 245 . 220 Group of answer choices Reject the null hypothesis, the evidence supports a claim that the drug lowers cholesterol levels. Do not reject the null hypothesis, the evidence supports a claim that the drug lowers cholesterol levels. Do not reject the null hypothesis, the evidence does not support a claim that the drug lowers cholesterol levels. Reject the null hypothesis, the evidence does not support a claim that the drug lowers cholesterol levels.Please show all of your work for these problems and also use the 10 step hypothesis testing procedure show the work/mathematics first then the MATLAB code for this problem if there is any MATLAB code. Cholesterol levels were taken from 386 patients, some of which have diabetes and some of which do not. Data is provided in .xls file ‘diabetes dataset.xls. Do these data provide sufficient evidence to indicate a difference in the mean cholesterol levels in the populations represented (diabetic and non-diabetic)? Let α =0.05.
- The point estimate of a 95% CI is always: Closer to the UB values than the LB value. The least plausible value for a population parameter. The most plausible value for a population parameter. Closer to the LB values than the UB value.A species of marine arthropod lives in seawater that contains calcium in a concentration of 32 mmole/kg of water. Thirteen of the animals are collected and the calcium concentrations in their coelomic fluid are found to be: 28, 27, 29, 29, 30, 30, 31, 30, 33, 27, 30, 32 and 31 mmole/kg.(a) Test the appropriate hypothesis to determine whether members of this species maintain coelomic calcium concentration less than that of their environment.Q) Create a conceptual model and also develop null and alternate hypotheses of the following. The labor force heterogeneity enhances more to organizational effectiveness because each group brings its own special expertise and skills to the workplace. Collaboration can be leveraged, however, only if managers know how to tackle the special talents of the different working group; otherwise, they will remain unexploited.
