Find the vector equation that represents the curve of intersection of the cylinder x² + y² = 1 and the surface z = x² + y.

Q: 5. Find the derivatives of the following functions using the fundamental theorem, part 1, in…

A: h(x)=∫02x11+t2dt

Q: After a large number of drinks, a person has a blood alcohol level of 160 mg/dL (milligrams per…

A: Solving the following problem

Q: A company produces a spherical object of radius 21 centimeters. A hole of radius 3 centimeters is…

A:

Q: Although it is not defined on all of space R³, the field associated with the line integral below is…

A: Please see the below picture for detailed solution.

Q: 2 få 8xclx o x4-8x²+32 3. f= 1/4 (1 + sinx) dx + 4. Find y if f (2x+7)dx य (1+ sinx) dx = In/ x² +…

A: (2). The given integral is: ∫02 8xx4-8x2+32dx

Q: Determine the flux of the vector field F(x, y, z) = 3xz²i + (4y + 3yz²)j − 2z³k - through surface P…

A: We have to determine the flux of the vector field…

Q: The Fourier Series of f(x)= x) = { O FINEO NEM 0, πT-X, −π<x<0 0<x< π over (-π, π) is converges at x…

A:

Q: A rectangular beam is cut from a cylindrical log of radius 15 cm. A cross-section of the log is…

A: The given figure is:   Radius r=15 cm Let the dimeter is d  ∴d=2r=215=30cm

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by…

A: given  s(t)=-t3+11t2+23t       (0≤t≤6)we know d dt(tn)=ntn-1ddt(constant)=0

Q: based on the following table, which lists interest rates on long-term investments (based on 10-year…

A: By formula, Amount after t years with Compound interest is A = P(1+R/100)t Where  A:- Amount after t…

Q: ermine the intervals on which the graph of y f(x) = 9x² + x4 concave up or concave down, and find…

A:

Q: [cos* xdx

A:

Q: people who have a rumor tt hours after it has started. N(t)=600/1+599e^−0.3t (d) When will half the…

A:

Q: The slope of the tangent line to the parabola y = 3x² + 3x + 7 at the point (−1, 7) is: The equation…

A:

Q: Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and…

A: NOTE: Refresh your page if you can't see any equations. . x=number of quarts of creamy vanilla…

Q: Find an equation of the plane that passes through the line of intersection of the planes 4y = 15 and…

A: Given: x-4y=155y+z=3Perpendicular to the plane x+y+2z=11

Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

A: we need to find out the half life time for the given decay equation.

Q: Find the point on the parabola shown below that is closest to the point (4, 0). V y=x²

A:

Q: If   C(t)=50te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A:

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

A:

Q: 24. The owner of a photocopy store charges 8 cents per copy for the first 100 copies and 5 cents per…

A: Solution below

Q: Consider the function f(x) = 3x + 8x-¹. (a) Find all critical numbers c of f. (b) f is increasing…

A:

Q: Hi can you please be more descriptive with your answer?  Half of the answer that you provided is cut…

A: Given integral:- ∫02π∫04∫0z4r4drdzdθ

Q: Sketch the region in the first quadrant enclosed by y = 5/x, y = 4x, and y = 2. Decide whether to…

A:

Q: If f is decreasing and its graph is concave up on (0, 1), which of the following could be the graph…

A:

Q: 3. Find an equation for the surface obtained by rotating (a) the ellipse x² + 4y² = 4, z = 0, about…

A:

Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the…

A:

Q: Find the total differential of the function y = f(x,z(w)) · g(w,x).

A:

Q: Find the derivative of the function. g'(t) = g(t) = (5t + 2)² (2t² - 8)-³

A:

Q: "MixtureA tank contains 100 gallons of a solution composed of 70% water and 30% alcohol. A second…

A:

Q: formula for du/ou in terms of other partial derivatives 2,9,2, and each of z, y, z is a function of…

A:

Q: K Find the linearization L(x) of f(x) at x = a. 2 f(x)=√x² +11, a=-5 1 L(x) =

A: according to bartleby guide line we do only first part og multiple questions f(x)=x2+11  ,…

Q: This exercise is based on the following table, which lists interest rates on long-term investments…

A:

Q: In a scale model of a table, 1 centimeter represents 6 inches. Answer the following. Scale 1 cm: 6…

A: Given that:- Scale 1 cm:6 in

Q: 1. A sailboat in Lake Huron is pushed by the wind along a bearing of 080° at 25 km/h. A slight…

A:

Q: Find an equation of the tangent line to the graph of the function f defined by the following…

A: Given equation ( x - y - 1 )3 = x

Q: Find y as a function of a if y" - 14y" +48y' = 70e", y(0) = 12, y'(0) = 29, y" (0) = 28. y(x) =…

A: Given: Here, the characteristic equation is     m3-14m2+48m=0. Now,…

Q: Let f(x) - 2x² - 6x - 8 = Determine the equation of the tangent line to f at x = 6. Report the…

A: We have given a function  fx=2x2-6x-8 Put x=6 f6=2×36-6×6-8=72-36-8 f6=28 Point : x1,y1=6,28…

Q: Consider the graph of f shown below. Use the graph to determine the following. If a quantity does…

A: We need to find derivative.

Q: Consider the line 7 = 67 +37 +1 (47 + 7 + 3k) and the plane x + y + z = 1. X Incorrect. (a) Where…

A:

Q: Aging Population The population of Americans age 55 and older as a percentage of the total…

A: Given function is ft=10.720.9t+100.3. We have to find f''(10). For this we first find f''(t).…

Q: ^ = [1 ² -1 ] B-[-2] 1. Find the size of A, B, and C matrices. 2. Find the pairs of matrices that…

A:

Q: 14. What is the equation of the exponential function graphed below? ³(-)* 3 2 ( 12 ) ² + 2(2)* +1…

A:

Q: QUESTION 1 In the Fourier series of f(x)=9x² + 1 for 0<x<27, the sum of the Fourier coefficients a…

A: Please see the below picture for detailed solution.

Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: As per the bartleby guidelines for question having multiple subpart question expert must have answer…

Q: Question 7 The direction of maximum increase of f(x,y,z)=x² + y² - 4z at the point (2,-1,1) is O a…

A:

Q: Investigate the one-parameter family of func f(x) = x - ax¹/2 (a) What is the domain of f(x)?…

A: Given : Domain : find non negative value of radical Answer :

Q: 4 S² x² dx

A: We have given  that f(x)=x2, a=0, b=4, and n=8

Q: 5. Determine an equation of a line that lies directly on the plane: answer). 3x+4y+5z-29=0. (Justify…

A:

Q: (a) If the goal is to maximize Revenue, what price should the company charge for the hoverboards,…

A: