Find a plane containing the point (-3,6,-4) and the line x (t) = y(t) z(t) = = - 4 - 8t - 6-7t - 2 + t

Q: Let y = f(x), where f(x) = (5x² + 6)1/3. Find the differential of the function. dy =

A:

Q: A ball of radius 15 has a round hole of radius 9 drilled through its center. Find the volume of the…

A:

Q: Let a = 7i+j and b - 67 - 7j. Find a - b .

A:

Q: A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material…

A:

Q: Find the area of the surface obtained by rotating the curve y = √2x from x = 0 to x = 7 about the…

A:

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. 10x² - 1 S 4 X X…

A: Given integral : ∫-10x2x4-1dx To find: The value of given integral using partial fraction. Let I =…

Q: Consider the function f(x) = 1−3x², -3 ≤ x ≤ 1. Use the derivatives to algebraically answer the…

A: Given, As per given question we need to find the extreme points of the function fx=1-3x2 on the…

Q: The Fourth Gate You arrive at the fourth gate, feeling confident in your skills. "It is a good thing…

A:

Q: Suppose a product's cost function is given by - 3q² + 800q, where C(q) is in dollars and q is the…

A: The details solution of the given question is given below in step 2.

Q: Compute [5t³ - 8t + 1] d dt

A:

Q: A vector with magnitude 4 points in a direction 340 degrees counterclockwise from the positive x…

A: let vector =V given  magnitude=V=4and direction=θ=340°now Vector V=<x,y>=?…

Q: In this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand…

A: Given: p+8q=240

Q: Answer the following True or False. If f(x) is a positive 1-1 function with inverse f−¹(x) with f(a)…

A: Given:-fx is a positive 1-1 fuunction with inverse f-1x with fa=c,fb=dthen π∫abfx2dx=2π∫cdyb-f-1ydy

Q: The perimeter of a rhombus is 68 inches and one of its diagonals measures 30 inches. Find the area…

A: Topic = Geometry

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 6 X₁ = 1, X₂…

A:

Q: . In the Gizmo, select sine wave so the parent function is f(x) = sin (x). A. The sine wave is a…

A:

Q: -S X √196+x -dx =

A:

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: Given function: f(x) = 45x54 To find: Arc length of the given function f(x) over the interval [0,16]

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the 7+x…

A:

Q: Find the exact length of the curve y = br (ex :/) 1) + لے سلاے ахо

A:

Q: A tepee has a circular floor with a diameter of 4 meters. What is the floor's circumference? typed…

A: Given :  A tepee has a circular floor with a diameter of 4 meters. Find :  What is the floor's…

Q: TOPIC 4-5: L'Hôpital's Rule x²-25 x+∞5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule as…

A: L’hospital rule  limx— a f(x)/g(x)   = limx— a f’(x)/g’(x)   now find limit

Q: 19x² tan¹x dx = [

A: The given integral is 19x2tan-1x.

Q: The Sixth Gate After walking through the fifth gate, your computer informs you that more than half…

A: Given function f( t ) = 1a( 7t3 - 55t2 + 165 )40

Q: At exactly two of the labeled points in the figure below, which shows a function f, the derivative…

A: Given graph:-

Q: Question 18 ( Show that the equation has exactly one real solution. 207e+2023 In 24

A:

Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

A: Given  x + y = 160

Q: B₂ (x₂3x₂ ) = 4x₁x₂ *1*2 0< x₂ <1 2 Y₁ = x₂₁² Y₂ = X₁ X/₂ Find the joint pdf for Y₁, Y₂ for 0<x< ₁…

A:

Q: z is incorrect

A: We have to find the value of z (Round to 4 decimal)

Q: (6x² - 4)² 24x dx

A:

Q: The weight of a fish varies jointly as its girth and the square of its length. One fish weighed in…

A:

Q: Find the slope at x = 3 on the graph of 2y - 4x = 9. (a) -4 (b) 2 (c) 10.5 (d) 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Let C(x) represent the cost of producing x units of a particular commodity where C(10)=1000 and…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 8x², x = 1, and y = 0,…

A: V= 64π/5 For detail go through the solution

Q: Find the arc length of y = 2x³/2 on 1 ≤ x ≤ 3.

A: y=2x321≤x≤3arc length(L)=∫ab1+(dydx)2dxd dx(xn)=nxn-1

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

A: As per rule I need to solve only first three subparts.

Q: Change the Cartesian integral - ² dy dx into an equivalent polar integral. Then evaluate the polar…

A: To change the Cartesian integral ∫-55∫025-x2 dy dx into an equivalent polar integral. Then to…

Q: Determine the derivative of each function f(x) = 3x³ + 2x² [K2] 1 b. f(x) = = = − 2x² [x2] x² c.…

A:

Q: Given f(10) = 50 and f'(10) = 2 Approximate the following values f(11)~ f(9.5)~ ƒ(10.25)~

A:

Q: 1. a. Consider the following graph of a continuous function f(t) on 0 ≤ t ≤ 10. 2 s(t) p/ 0 6 10 4…

A:

Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

A: Need to write down the method to determine that l hospital is applicable or not.

Q: The area of an ellipse with axes of length 2a and 2b is лab. The percent change in the area when a…

A:

Q: 400 gallons of pesticide is accidentally spilled into a lake and uniformly mixes with the water. The…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of pesticide at time t…

Q: 10. The average rate of change of f(x)= x² + x over the interval 0 ≤ x ≤ 4 is a. 20 b. 4 c. 5 d. 1

A: f(x)=x2+xinterval is  0≤x≤4formula for average rate of change is favg=f(b)-f(a)b-a

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 9…

A: We will use standard method to change it into polar coordinate.

Q: Connecting the Communication Device With the communication device pointed toward your home planet,…

A: Given: fx=ln8xgx=9 sin4x Red Cord: f'c Green Cord: g83π Blue Cord: f''c where, c is a constant such…

Q: A 200-foot cable weighing 5 pounds per foot is hanging from a winch 200 feet above ground level.…

A:

Q: Q15 Find all non-zero derivatives of the following function: f(x) = 5x³ - 7x² + 9x - 1

A: Here we differentiate f(x) with respect to x until it becomes a constant

Q: lim x 8个 xxx 782_11x+67 cx87-67 lim ax87-11x+67 Cz87-67 lim x →∞ ar ax87-11x+67 cx82-67 =C =C =C

A:

Q: Find a vector function, r(t), that represents the curve of intersection of the two surface the cone…

A: