Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 7. y = 7 − x y = 0 y = 2 x = 0

Q: Question 2 A tank contains 800L of water with 10kg of dissolved mineral. Pure water is injected into…

A: As per our guidelines we are allowed to solve only 3 sub parts. kindly repost others. THANK YOU…

Q: The graph of the function f is shown. 6 4 2 0 -2 y

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: Solve

A: We have to find the value of the given following conditions according to the given information

Q: Book Problem 31 Find a function f and a positive number a such that f(x): a = = + [² 2+ f(t) dt =…

A:

Q: Solve the diff eq. (Homogenous) y' = ysecx

A: The given equation is: y'=ysec x⇒dydx=y sec x⇒dyy=sec x dx

Q: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable…

A: Given Table:- t(hours) o 2 3 7 8 R(t)(gallons per hour) 1.95 2.5 2.8 4 4.26

Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given: 645  036  00-4

Q: Consider the function defined as follows: f(x) = 5x² f(x+h)-f(x) and completely simplify your…

A:

Q: 4. Perform the indicated operations. Use principal arguments throughout. (a) [22(x/3)].[32(x/2)] (b)…

A: (a) We have to evaluate 2∠π3.3∠π2

Q: Question 2 19-√5 Part A: Given sin 8. determine three possible angles on the domain [0,0⁰). Part B:…

A: See the details solution in below

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax-0 I

A:

Q: Identify the special angles above. Give your answers in radians, using pi for and in the range…

A: As shown in diagram, we can conclude on following step.

Q: Consider the function Evaluate the definite integral f₁ f(x) dx = Evaluate the average value of f on…

A:

Q: Find all minors and cofactors of the matrix. -1 2 3 6 45 3-1 2 (a) Find all minors of the matrix M…

A:

Q: (a) Prove, by mathematical induction, that for every positive integer n, 2²² =2²(n+1)²,

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y =…

A: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by…

Q: fk(x) = x³ +512 X+8 X k(x) 2 complete the table and use the results to find lim k(x). X→-8 - 8.1…

A:

Q: Consider the following functions. X f(x) = g(x) = X + 9 Find (fog)(x). 9 x + 9 Find the domain of…

A: We need to find composite function.

Q: -1 Suppose y = sin ¹x. Then y arcsin 1 Oy= sin a Or = siny Or=

A: Given that:- y= sin--1x. Then  Topic:- inverse trignometry

Q: Find the area bounded by y = x³ and y = x² + 2x on x € [-1, 1]. Submit your answer in fractional…

A:

Q: Find median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17.…

A: Please check the given options because the answer to the given question is not among the given…

Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: This is a problem related to probability distribution function. Please follow the procedure given…

Q: Q4. Choose two of the following: (a). If x = t - t² and y = t-t³. Find 2 by using Chain Rule. dx²…

A: a) x=t-t2 and y=t-t3 b) fx=1+x at x=3 c) fx=2a+x2,x≥12x+b,x<1 is continuous at x=1and f-1=5 Use…

Q: 6./07 - A room is 12 ft wide and 15 ft long. How many square meters (m²) is the floor in this room?…

A:

Q: Q5: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Given the differential equation is y''-5y'+6y = x2e-2x

Q: +1 √2 1337 =?

A: Given i+121337

Q: 2. Solve the initial value problem x' = (t+1)/√t, x(1) = 4.

A: Given, x'=t+1t, x(1)=4

Q: The random variables A and B have variances 0.3 and 0.4 respectively. Let T= 5A-2B. The variance of…

A:

Q: Which of the following is guaranteed by the Intermediate Value Theorem, if f is a continuous…

A: Let's solve given problem by using intermediate value theorem.

Q: On a dogleg golf hole, one golfer hits the ball 270 yards and then another 170 yards to reach the…

A: From the given details:

Q: Using distance formula, prove the Apollonius' theorem that is in AABC, AB2+ AC² = 2 (AD² + BD2),…

A:

Q: 1. Let f(x) = |x-1|-3. (a) Sketch f(x) for x > 0 and label where f crosses the x-axis. (b) Find a…

A:

Q: Find an equation of the plane passing through (0,-1,3) that is orthogonal to the planes 3x+4y-2z=0…

A: Let's find equation of the plane.

Q: 16. Describe in your own words the difference between a scalar and a vector. 17. Given the vector F…

A: Scalar quantity is the quantity in which we consider only magnitude and vector is the quantity in…

Q: Graph the system of linear equations. 0.04x -0.03y = 0.05 0.05x + 0.02y = 0.12 -10 -10 -5 -3 -10 y…

A:

Q: DEFINITE INTEGRALS Evaluate each of the following definite integrals: 21. ²(6x² + 3)dx 22. (4x+1)dx

A: To evaluate the integral.

Q: Consider the series 6+4 6n³-6n+8 n= We will try to use the ratio test to determine whether this…

A: To use ratio test to determine whether the given series converges or diverges

Q: Solve the differential equation. y' + y tan x = cos X, -π/2<x<π/2 A y = x cos x + c cos X, - B) y=x…

A:

Q: -∞ 1 O -1 -1 (x-1)² Let f be the function given by f(x)= What is lim f(x)? X→1

A:

Q: 4. Let R be the region bounded by the following curves. Use the disk method (slicing method) to find…

A:

Q: Let g be a function where g(2) = 5 and g(8)= -9. Which of the following conditions is necessary to…

A: Let g be a function where g2=5 and g8=-9 we have to find the necessary condition for g such that…

Q: Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

A:

Q: Let A= 10-2 02-5 and b= 11- Denote the columns of A by a₁. 2. 3. and let W=Span (a₁. ₂. 3) -26 2 a.…

A: The objective of the question is linear combination of vector and choosing the correct option.

Q: Find y' for sin x+sin y = 1. Find y' for xcos y=sin(x + y).

A:

Q: 30. Use the fact that lim x→0 sin x X = 1 (shown in video) to show lim x-0 1 - cos x X = 0

A: we will find the required.

Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =< Z < 1. Calculate the expected value of z. a. b.…

A:

Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

A: See this solution in below.

Q: I f²f³ e dxdy

A:

Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A: This is a problem related to probability distribution function. Please follow the procedure given…