Use Cartesian coordinates to evaluate y² dV where D is the tetrahedron in the first octant bounded by the coordinate planes and the plane 3x + 2y + 2 = 6. Use dV = dz dx dy. Draw the solid D.

Q: (A) Find a simplified explicit form (in terms of s and t) for the amount of interest earned between…

A: Given: I=A(t)-A(s), where s<t, s and t is time. Total interest is the sum of the periodic…

Q: The following choices below are the derivative of = V tan (z) EXCEPT sec² (z) 2 tan (z) 1+ tan² (z)…

A:

Q: Find half-range sine and cosine expansions of each of the following functions: 2kt 0sts p/2 15 f(t)…

A:

Q: In a certain study, the chance of encountering a car crash on the road is stated as 9%. Express the…

A:

Q: Let a and b be ranges of numbers in a number line such that –1 < a < 5 and 6 < b< 10. - If a is…

A:

Q: 12. 140r - 8r = 4r + 216 Answer :

A:

Q: Let X₁, Xn be independently and identically distributed Beta (a, b) random variables where a >o and…

A: It is given that  are independently and identically distributed random variables following…

Q: The amount of time (minutes) a sample of students spent on online social media in a 4-hour window is…

A: Given that  Note: According to bartelby question answer guidelines an expert can solve only three…

Q: 1. The data below shows the weight and chest size of infants at birth. Weight, (kg) Chest size (cm)…

A: Data given on weight (X) and chest size (Y) of infants of birth.n=10According to our Q&amp;A…

Q: 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term. 3. Php…

A: given

Q: Q6:Please answer all sectio

A: Given Data:  37, 46, 8, 84, 50, 79, 18, 20, 53, 23, 26.

Q: Find the area under the standard normal curve between z = -0.57 and z = 2.3. Round your answer to…

A: the area under the standard normal curve between z = -0.57 and z = 2.3.

Q: earthquake exceed magnitude greater than 6.1, what is the probably 6. A variable, X, is uniformly…

A:

Q: Solve the differential equation dy =e"(1 - y)? dr in general. Then sketch solution trajectories…

A: The slope field is a graphical representation of the solution of an ordinary differential equation.…

Q: 1 is subtracted from the cube of a number

A: 1 is subtracted from the cube of a number.Let the number be xSo, we have1 is subtracted from the…

Q: 9. For b a positive constant, let A(b) be the area of the region enclosed by f(x) x² and g(x) = b.…

A: Solve according to the given conditions of the question

Q: 9. 14s + 35s = 7s + 42 Answer :

A: Let's solve given question.(1st for s and 2nd for n)

Q: Find the value of x, then find the perimeter

A: By using some logics and Pythagoras theorem we can find x and two perimeters.

Q: Q5, please show work and show work in simplest way possible. Thanks.

A: Step 1:

Q: 2. -) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the…

A: Let's find equation of tangent plane and parametric equations of normal line.

Q: i want solve

A: Range: The range is found by subtracting the smallest data value from the largest data value. Here,…

Q: Hail Mary Shot - A Hail Mary shot is a shot thrown from a place far away from the basket. Since it…

A: Given: Hail Mary shot: Piel witnesses that 2 out of 500 hail mary shot is made. Probability of hail…

Q: Consider the function f(x) = 2 x + 7 on the interval 2, 7. Find the average or mean slope of the…

A:

Q: 7. Set up an iterated double integral equal to the mass of the lamina in the shape of the region…

A:

Q: 6- An analyst collects 10 samples of 600 observations during a production shift. The number of…

A:

Q: Determine the equilibrium solution and its stability for the following linear systema. (b) -2i +31…

A: As per the question we are given the following second order linear dynamic system : ẋ̇1 - 2ẋ2 + x1…

Q: During the observation period, it was observed that on the average, the number of simple garments…

A: note :As per the instructions we will only solve part (2) of the question.In part (2), we are…

Q: Solve the following problems. a. A door is being built and the bottom is a rectangle and the top is…

A:

Q: Use separation of variables to solve Utt + u Ut + U = Uxx, 0 0, u(0, t) = u(1, t) = 0, t > 0, u(x,…

A: Given that                                                                     We have to solve it…

Q: An economist is interested in studying the incomes of consumers in a particular region. The…

A: Given data,σ=1000n=50x=15000Z value at 99% confidence is Zc=2.576

Q: QUESTION 10: (4 Prove that V n E N, 1+3+ 5 + -.+ (2n – 1) = n².

A:

Q: Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from…

A: The given regression line is:  y^ =-109+1.16x

Q: (e) How many 15-letter words are there which have no repeated letters, and include ZEBRA as a…

A: Hey, since there are multiple subparts posted, we will answer the first question. If you want any…

Q: Q9, please show work and show work in simplest way possible. Thanks.

A: