A volume is described as follows: 1. the base is the region bounded by x = -3 =-y² + 4y + 66 and x = y²-20y + 106; x= 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this object.

Q: The graph of the derivative g' has exactly two roots. Complete parts a through c. OA. The function…

A:

Q: dy dx cos(x + y) = 3x Find dy dx dy dx dy dx dy dx = = -3 csc (x + y) - 1 = -3 cos(x + y) - 1 = −3…

A: we need to find out the derivative.

Q: Suppose f(x, y) = (x - y) (25 - xy). Answer the following. Each answer should be a list of points…

A:

Q: Solve the second order. Dieg - Ý - ý syes 1 39

A:

Q: cb+2π f" sin z dz = Sov20 a+2π a sin x dx

A:

Q: A company that manufactures pet toys calculates that its costs and revenue can be modeled by the…

A:

Q: Let A(x) = f(t)dt, with f(x) shown in the graph below. 4 3 2 1 X -1 -2 -3 -4 -5 A 5 At what x values…

A:

Q: The population P (in thousands) of Tallahassee, Florida, from 2000 through 2018 can be modeled by P…

A:

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A:

Q: (a) Find parametric equations for the line segment that joins the point P(2, 3, -3) to the point…

A: To find the parametric equations for the line segment that joins the point .Note: Since the student…

Q: The radius of a right circular cone is increasing at a rate of 1.5 in/s while its height is…

A:

Q: 4 Sª 3 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: √3 4 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: Find the surface area of the part of the plane 2x+5y+z=4 that lies inside the cylinder x^2+y^2=1.…

A:

Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

A: Let A(t) be the amount of salt at any time t According to Question Rate of pumping in  gal/minRate…

Q: Given the following integral and value of n, approximate the following integral using the methods…

A:

Q: Isolate 9.\ 2 5 = 22 gt² + vt gt² + avt ??? 25 = 25= 2 ut(+ +2 g = expected: -avt + $25 t²

A:

Q: Suppose T: R² R³ is a linear transformation. Let u, v and w be the vectors given below, and suppose…

A:

Q: 1. Use Calculus to find the absolute extrema of f(x)=3x4-4x³ -36x² +28 on the interval [-3,4].

A: By using Calculus to find the absolute extrema of  on the interval .Note: Since the student has…

Q: 10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as…

A:

Q: Find the measures of the sides and angles. Round angle measures to the nearest tenth of a degree.…

A:

Q: Evaluate. n=1 2n+4 7n

A:

Q: Find the indicated derivative. for y=x¹5 58 11

A:

Q: Show that the function is increasing on the given open interval. (Enter your answers as a…

A:

Q: Calculate the L4 approximation for f(x) = cos² x on TU I 4 2

A: The left Riemann sum∫abf(x)dx≈Δx(f(x0)+f(x1)+f(x2)+⋯+f(xn−2)+f(xn−1))Δx=b−an

Q: (b) Isolate дет 11 2x 5 = 1/2gt²2² + vt

A: To isolate  in the following equation.

Q: If what does the following integral equal? -15 -50 [9f(x) + 2g(x) - h(x)]dx = -15 |_| f(x)dx = 15…

A: The integrals are given asTo evaluate: The value of

Q: Use partial fraction decomposition to find the following integral -da 24-1

A: I=∫x2x4−1dx

Q: The answers for N[T(t)], t=2hr, and t=5hr are wrong.

A: Given:To find: (a) To compute .(b) To find the number of bacteria present when .Note: After seeing…

Q: Determine the inverse Laplace transform: F(s) = 4/s2 - 5/(s + 1)

A: To determine the inverse Laplace transform.

Q: Consider the following. x = e-5t, y = e5t (a) Eliminate the parameter to find a Cartesian equation…

A: Consider the following.To eliminate the parameter to find a Cartesian equation of the curve.

Q: Find the domain of the function. f(x)= x-1 X+2

A:

Q: (a) Consider the curve y = e dx 6x + 6). (c) This function is always differentiable. Its derivative…

A: Consider the curve (a) To find (c) To find the values of  when .(d) To find the intervals where the…

Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of…

A: The populations of Towns A, B, and C vary exponentially with respect to time.1.The population of…

Q: 5. Let f(x, y, z) = x²e + ay³ + az + 115. Find fyzz (b) Find 8³1 əxəydy'

A:

Q: describe what you would have to do to your graph of f(x) to sketch g(x)= (x+1)^2-4(x+1)+3

A: The given function is .The aim is to describe how to sketch the graph of the function using the…

Q: please show all steps what are 2 critical points of the function: f (x)  =  esin(πx/20) −…

A: Consider the function f (x)  =  esin(πx/20) − cos(πx/20)

Q: If what does the following integral equal? 4 19 q(s)ds = [ q(s)ds = 13 and La q(s)ds = 10.7

A:

Q: 6. Logarithmic differentiation Use logarithmic differentiation to evaluate f'(x). f(x)=(1+x²)in x

A: The given function .The aim is to find the derivative of the function using the logarthim…

Q: Let f(x) = 5 − 3x²2 and g(x) = x + 5. Compute the following. (a) (fog)(x) (b) (c) (e) (fog)(-1)…

A:

Q: differentiate y(theta) = e^cot theta

A: given function

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A:

Q: An account earns an APR of 4.7% compounded as often as imaginable ("compounded continuously"). The…

A: The given rate is, r=4.7%=0.047 compounded continuously.For the continuous compound, the annual…

Q: Verify that the given point is on the curve and find the lines (a) tangent and (b) normal to the…

A:

Q: Let f(x) = Then f'(x) = π The equation of the tangent line to y = f(x) at a = can be written in the…

A:

Q: Evaluate the indefinite integral. 0+ +C 54 sin x COS X dx

A:

Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t, 3sin(4t)] when t = 0. :

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

A:

Q: 5 4 --3- 2 -1

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

A: