Find the velocity and acceleration vectors in terms of u, and ug. de r= a(7 - cos 0) and = 6, where a is a constant dt

Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + 4y° 3 242 at the point (- 1, 4).

A: Solve the following

Q: dy Given the equation below, find de 1722 + 8x8y + y° = 26 dy dx Now, find the equation of the…

A:

Q: Find the area of the region that is enclosed between y = 11x? – 2³ + x and y = x? + 25x. The area is…

A:

Q: Find the minimum and maximum values of the function y = x-1 on the interval [1,6] by comparing…

A:

Q: Let C be the cost to produce x batches of widgets, and let Rix) be the revenue in thousands of…

A:

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

A: P(x) has roots of multiplicity 2 at x=1 so (x-1)2 is a factor of P(x).  P(x) has roots of…

Q: [6]. Consider the following set of parametric equations: x = r° - 3t y = 312 – 9 On which intervals…

A:

Q: 13. (x? — ху + у?)dх — хуdy %3D 0

A:

Q: P(x) = 23x – a?. %3D

A:

Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

A:

Q: d the volume of the solid whose base is the region enclosed by y = x² and y = 2, and the cross…

A: Topic:- application of integration

Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: 4. Which of the following is the Maclaurin series fore Circle all that apply. (a) (b) (-1) (2n)! (d)…

A:

Q: The equation r(t) = (2t + 3) i + (P - 9) j+ (t) k is the position of a particle in space at time t.…

A:

Q: r(10,3,3) dx (1,1,1) dy dz. - -

A:

Q: Problem 6 Use the rules of differentiation to to find the derivatives of the functions: (a) f(r) =…

A: topic- differentiation

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: A norman window has the total perimeter 8 feet.

Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: Use l hospital rule for finding the limit.

Q: (ii) Prove the identity (2 - 2 cos 0) (sin 0 + sin 20 + sin 30) -(cos 40 - 1) sin 0 + sin 40 (cos 0…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the area of the region between the curves y = æ and y = Va. Area between curves

A:

Q: Problem 7 Find the horizontal and vertical asymptotes of the function y = f(x) and use limits to…

A:

Q: What number is in the tenths place - 7.2431?

A: Given Number                           7.2431

Q: Given the function f(x) = -x* - 4x determine its critical points and classify them, determine the…

A:

Q: Given the function f(x) = -xr* – 4x determine its critical points and classify them, determine the…

A:

Q: Directions: Determine the reasons of the following statement In the given figure, if EF GH, then EG=…

A: We want to identify the steps.

Q: Write a in the form a = a-T+ anN at the given value of t without finding I and N. r(t) = ( - t+ 4)i…

A: Here, r(t)=(-t+4)i+(2t)j+(t2)k⇒r'(t)=(-1)i+(2)j+(2t)k⇒r''(t)=(0)i+(0)j+(2)kSo,r'(-1)=-1,2,-2 &…

Q: near First – Order Differential Equation (Integrating Factor) 1 dy x dx 2y 5. Find the general…

A: Topic:- differential equations

Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

A:

Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = VT. Find the…

A:

Q: In the appropriate interval of convergence, we know that then we %3D 1. 1 can deduce, by applying…

A: We have to find to check the correct

Q: x-6 Let f(x) = Use the properties of limits to find the indicated limits, if they exist. x -6x (A)…

A: Given: f(x)=x-6x2-6x

Q: Find the volUme OF the solid obtained by rotating about the y-axis the region boUnded by y= x° the…

A: Follow the procedure given below.

Q: Evaluate each Laplace transform. Write your answer as a function of s. (a) L{2t³ – cos² 5t} (b)…

A: We have to determine Laplace transfer  As per Bartleby guidelines we have to solve 1 question if you…

Q: 2 v2x-x2 XY xydydx 0 0

A:

Q: Solve cos (w) - 6 sin(w) for all solutions 0 < w < 27 %3D w = Give your answers accurate to 2…

A:

Q: The limit lim cos is an indeterminate form of type 0· o. 00. Select one: O True False

A:

Q: Differentiate the function. t(t? + 1)4 n 8t – 1 g(t) = In %3D

A:

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

A:

Q: Find the simplified difference quotient. f(x) = 2x +6

A: answer is in next step

Q: Find the point at which the line meets the plane. x = - 3 + 5t, y = 3+ 6t, z = - 2 + 3t; x + y +z =…

A: Given ; Line meets plane = ?   x = -3 + 5t   y = 3 + 6t   z = -2 + 3t   Plane;        x + y + z =…

Q: Find the number(s) b such that the average value of f(x) = 6x - 42x + 70 on the interval 0, 6 is…

A:

Q: To find the distance across a river, a surveyor choose points A and B, which are 224 m apart on one…

A: In this question we have to find AC and distence across the river.

Q: dy Find dx y = = 5x° sin x coS X

A:

Q: demand for a certain type of cosmetic is given by p= 540 - x, where p is the price in dollars when x…

A: Given query is to find the revenue function and maximum revenue.

Q: Phi Ms. Kaye of the Lakwatsera tours offers a group rate of Php 24000 per person for a week in Cebu…

A: Concept: Maximum and minimum value: To find the maximum and minimum value of a function using first…

Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: Find the center and radius of the sphere. 2 2 5x + 5y + 5z + x +y +z = 16 Center = (OOD. radius = 4…

A:

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

A: