Remove arbitrary constant in the given relation. x = sin (w t + ß); w - parameter, not to be removed

Q: 001 Enter an exact value, using a fraction if nec- essary. Do not include units. A 6-foot person…

A:

Q: The base of a right triangle is increasing at a rate of 3 meters per day and the height is…

A:

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: 6. Use the unit circle to evaluate the following: (a) (c) (e) (g) sin(7) cos (4) sin (¹5) csc (-²)…

A:

Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

A: Volume of the cone , V =13(radius)2(height).

Q: x+y+z = -3 -7 2x - 2y-z = −7 -3x + y + 5z = 5

A:

Q: 1. In all parts of this problem you will be evaluating the definite integral ſ² f(x) dx where f(x)…

A:

Q: 2. Prove the following: d dt r. (r [r. (r' × r")] = r. (r' xr").

A: Note: Since you have posted multiple questions we will solve the first question for you. To get the…

Q: III. Find the first derivative of the following functions. Simplify as much as possible sin (r) rcos…

A:

Q: Given f(x) = x² + 3x + 4, what is 07+h 2x+h+3 Oh+4 Oh² +7h f(2+h)-f(2) h equal to?

A:

Q: Evaluate the integral or state that it diverges. İA... 25e2x +49 In 7/5 -dx Select the correct…

A:

Q: The function f(x) = 2x³36x² + 120x + 7 has one local minimum and one local maximum. Use a graph = -…

A: Topic - Application of derivatives We are givenf(x)=2x3-36x2+120x+7The local minimum is a point on…

Q: y"+11y'+24y = 0 X(0) = 0 y'(0) = 7

A:

Q: 32. √ ₁²+2x-3d²

A: Given integral I=∫xx2+2x-3 dx

Q: The side of an equilateral triangle is found to be 6 inches in length with a possible error of no…

A: Topic = Triangle

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $577 each for 81…

A: Given query is to find the maximum revenue.

Q: certain vehicle can accelerate from a standing start to a speed of  v(t) = −0.27t2 + 14t  feet per…

A: Given query is to find the distance fromula and then distance at t=10.

Q: 4- Apply Newton's method to f(x) = x³ + 5x +4, xo=1. Find x1, x2, and x3.

A:

Q: Solve the initial value problem dy dt = 4t + 9t², y(1) = 3.

A: We  will find the required solution of initial value problem.

Q: Find the absolute extreme values of the function on the interval. 2) f(x)= x8/3, -1≤x≤8

A: Given: fx=x83

Q: Find the general solution to the homogeneous differential equation d² y dy dt² dt The solution can…

A:

Q: The population (in hundreds) of fish in a pond is given by P (t) = 2t+ sin(2t - 10) t months from…

A: Rate of change

Q: (xy²dy) = (y³ – x³)dx, y(1) = 2

A:

Q: The rectangular coordinates of a point are given. Plot the point. (-2√/2, -2√//2) -4 (r, 0) = y 5x 4…

A: Given rectangular coordinates of the point is -22, 22 For a point (x, y),  r=x2+y2 where…

Q: ind  dy dx and  d2y dx2. x = et,    y = te−t   For which values of t is the curve concave upward?…

A: Concavity

Q: Find the rectangular coordinates of the points that the polar coordinates are given. (c) (-6, -5π/6)

A:

Q: Question 6 T Given the function f(x) Determine the open interval(s) where the function is concave…

A:

Q: An equation for a quartic function with zeros 4, 5, and 6 that passes through the point (7, 18) is…

A: An equation of a quartic function with zeros 4,5,6 and passes through (7,18) is

Q: d the polar coordinates if (x, y) = (-√3, 1), r≥ 0, -2π < E

A: Given query is to find the polar coordinates.

Q: Compute the partial sums S₂, S4, and So. S₂ = 6 + 6 +

A:

Q: Find the center of mass of the region bounded by the semicircle x² + y² ≤ R², y ≥ 0 with mass…

A:

Q: Find the extrema of the following function on the given interval: h(x)= 2x+5cosx, ob [0,2π

A:

Q: Find three angles which are coterminal to -575°.

A: Coterminal angle

Q: ·S₁ 2. x² dx Vx2 + 16

A:

Q: d) MsU₁= Rows: 1 Columns: 1

A: GivenM5=-5-3-3-31-5-4-2 and v1→=-20We are required to find M5v1→

Q: Suppose that in a memory experiment the rate of memorizing is given by M' (t) = -0.003t² +0.8t where…

A: Given: M't=-0.003t2+0·8t To find: Total number of word memorised in first 30 minutes.

Q: Represent f(x) = cosx. as the sum of its Taylor series centered at π/6.

A: we will find the required taylor series .

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A:

Q: Sketch the graph of the function and determine whether it has any absolute extreme value on its…

A:

Q: Find the derivative of f (y) 155/7 In(y)

A: The function is  f(y)=15y5lny

Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

A:

Q: Find the equation of the line tangent to the graph of f(x)=(lnx)5 at x=2. Answer in slope intercept…

A:

Q: Fill in the missing values to make the equations true. (a) log, 7 - log, 8 = log, (b) log, 11 + log,…

A:

Q: 8. a. b. Let s(t) 6t³ - 45t² + 72t be the equation of the position of a particle. Find a function…

A: As per Bartleby guidelines we're supposed to answer only 3 subpart of a question .  This question…

Q: 6. Find the volume of the region bounded above by the paraboloid z = 9-x² - y², below by the…

A:

Q: x+y+z = -3 : 2x - 2y-z = -7 -3x + y + 5z = 5

A: The given system of linear equations:x+y+z=-32x-2y-z=-7-3x+y+5z=5

Q: (a) y" + y = cos(x); y(0) = 1, y'(0) = -1.

A: Given

Q: Differentiate y = arcsin (6x + 1). Answer: y' =[

A: Given y=sin-1(6x+1)

Q: P(250) = JO 1 dx 0

A:

Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x² that pass through…

A: