3. For each problem, find the area of the surface obtained by rotating the curve about the given axis. (a) 9x = y² + 18 on the interval 2 ≤ x ≤ 6; about x-axis. = 4/² on the interval 0≤x≤ 9; about y-axis. (b) x =

Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

A: The rate at which water drains from a tank is recorded at half minute intervals ∆t=0.5

Q: Self-Assessment 8) Suppose you measure the length of a house to be 60.50 ft. How many yards is that?…

A: according to bartleby guide line we do only first part of multiple questions  given length=60.50 ft…

Q: Perform the indicated integration using INTEGRATION BY PARTS 1. √z. In z dz

A: To perform the indicated integration by using integration by parts. ∫z·lnz dz Note: Since the…

Q: Find the antiderivatives. Show any substitutions. [(7x+3) dx

A:

Q: Let f(x, y, z) = xy³ + z and x = st³, y = st³, and z = = s²t². (a) Calculate the primary derivatives…

A:

Q: Find c> 0 such that the area of the region enclosed by the parabolas y=x²-c² and y=c²-x² is 20. C=

A:

Q: Can u solve all? Its easy for u

A: We need to solve algebra.

Q: (b) (i) Show that d dx\x+1 x 1 (1 + x)²

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Determine the derivative with respect to 'x' of: f(x) = Cos (sin x) - sin(cos.x)

A: We know that the derivative of sinx is cosx  And cosx is -sinx

Q: The cost of sending a large envelope via first-class mail is $0.76 for the first ounce and $0.18 for…

A:

Q: Which of the following is not a differential equation? d²y = 12 +2 O A. dt² O₂ B. O C. D. 4+y = 2x +…

A:

Q: Sketch a graph of the function sin(x-45°) + 2. Please state the range.

A: Let f(x)=sin(x-45ο) + 2

Q: Please solve this 100% Correctly and ASAP. Thanks, A wall of height 12 m stands parallel to and 30 m…

A:

Q: 2. Consider the function: a) Determine the derivative. y = 2sinx b) Calculate the exact value of x…

A:

Q: The vector k represents: O A vector of manitude 1000 in any direction. O A vector of magnitude one…

A:

Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.

Q: The total cost function for a product is C(x)=700ln(x+100)−100, where x is the number of items…

A:

Q: -5x-2y 2x + y x 2z = -2) = 5 +z = 5 =

A:

Q: Find the area of the region bounded by: ² = 162 cos 20

A:

Q: For all positive x, (Hint: Think change of base!) A. log2x OB. 10842 = 1/ C. log24 = 2 10g4x 1og2x…

A:

Q: This problem is represented by the following system: 3x +9y+22=98 8z + 5y +32= 105 4z +10y+z=100…

A:

Q: I The region formed by y = 3x - ³y = 2, and y-axis is revolved around the y-axis. Find the volume.…

A: The region is formed by the curves, y=3x-x3y=2x=0 y-axis Shell Method formula- The volume of a…

Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

A:

Q: A projectile is fired vertically upward into the air; its position (in feet) above the ground after…

A:

Q: A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be…

A:

Q: Evaluate the double integral cos √√x² + y²dA, where D is the disc with center the origin 。 and…

A:

Q: A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the…

A: Given          parametric equations…

Q: Find the critical numbers and any local maximum and minimum points for the function Find exact…

A:

Q: SCX anx cotx 2. The expression 1 sinx 2 1 - cos²x is equivalent to which of the following?

A: Formula used  sin2x + cos2x = 1 cscx = 1sinx

Q: Let f(x) = X 3x + 1 and g(x)=√1-x.

A:

Q: Find the given vector. 1. e, where v = (4, -2, -1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: The total U.S. personal income I (in billions of dollars) can be approximated by I=535.6(1.054)t  ,…

A:

Q: Find an equation for the plane consisting of all points that are equidistant from the points  (−7,…

A:

Q: If you know that f(x) = f'(x) = f'(x) and that f(-3) = 5 while f(1) = 5e4 then: [₁2.5" f"(x) dx =…

A: ∫-31xf''xdx

Q: x7-9

A: We know that the integral of x^n dx= x^(n+1)/(n+1)

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sub a drinking cup…

A: Let’s solve this problem using calculus. Let’s say the radius of the cup is r and the height is h.…

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: Given: A solid is formed by revolving the region bounded on right by the graph of gy=7y and on the…

Q: The region R in the first quadrant is bounded by the coordinate axes, the curve y=e -5x The (exact)…

A:

Q: Let h = f o g where ƒ : R² → R and g : R² → R² is defined by g(x, y) = (–3x²y, y − 2x). Find the…

A:

Q: Calculate interval of convergence for series.

A: We use ratio test to find the interval of convergence.

Q: Q2.2 The amount of a sample of a radioactive substance remaining after t years is given to be a…

A: The Amount of a sample of a radioactive substance remaining after t years is given  to be a function…

Q: Use the graph of G shown to the right to find the limit. If necessary, state that the limit does not…

A:

Q: Solve the given differential equation by separation of variables. (ex + 1)²e-y dx + (ex + 1)¹e-x dy…

A: We need to solve (e^y+1)^2 e^(-y)dx+(e^x+1)^4 e^(-x) dy=0.

Q: Use the graph of f shown to the right to find the limit. If necessary, state that the limit does not…

A:

Q: (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. What…

A: Given, To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. Then…

Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

Q: The force F has a magnitude of 310 lb and acts along the diagonal of the parallelepiped as shown.…

A:

Q: Solving the equation C= Bat/D-K for t, using logarithms with base a, gives you t = 108a()+K A. Dloga…

A:

Q: Integral is convergent or divergent. Evaluate those (c) (d) S 2² 9+x6 dx

A:

Q: 4. Graph f(x)=-2log, (x-5)+3 Show your work.Write Domain and range.

A: According to  question,given function,fx= -2 log3x-5+3