Find the tangential and normal components of the acceleration R(t) = (2sint, t, 2cost)

Q: 3 - x answer the following questions: Given the function f(x) = 3x a) Calculate the slope of the…

A: The slope of the tangent line to the given curve is equal to the derivative of the given function at…

Q: DIFFERENTIAL EQUATION  UPVOTE WILL BE GIVEN. PLEASE WRITE THE SOLUTIONS IN THE SAME FORMAT GIVEN…

A: Let's solve given differential equation  order,type and linearity also verify the solution.

Q: If you make an investment of $4,500 and the investment loses $12 every year, what will the…

A: Solution: if the investment is $4500 and loss = $ 12 per year time = 15 year

Q: F(x)= 3x2+2x-1

A:

Q: Problem 2.1: Find the PS of where n = constant. S dy dx y(1) = 1984 y=nxn+1

A:

Q: Convert r = tan20 to cartesian.

A: Given; r=tan(2 theta).

Q: 9 (y) = (y-4) (2y + y²)

A: Here is the solution:

Q: x-x²y² + 16y4 lim (x,y)-(0,0) x2 + 3xy + 4y²

A:

Q: z = x (31² (3r²-9)

A: To find the derivative of given equation.

Q: AH expressed as a combination of vectors is: Q Faty ● टे - वे Oa+c Oa-c C F H B

A: We know that by Triangle method, Draw the vectors one after another, placing the initial point of…

Q: Sketch a graph of the function f(x) = 6 5 4 32 3 2 1 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 3 sin 1…

A: Topic = Graph

Q: 1. 645/3

A:

Q: T * cos® zº die. 2

A:

Q: ) The slope of the curve at P(1,-6) is ) The equation of the tangent line to the curve at P(1, -6)…

A: Follow the procedure given below.

Q: g(x)= 3√√3x-2

A:

Q: In Exercises 13-16, use the following information to deter- mine the limit of the given sequences.…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is find the limit of…

Q: Evaluate [ cos³ = dx 2 =

A: NOTE: Refresh your page if you can't see any equations. . .................(1) substitute…

Q: 25. Στη n=1

A:

Q: Evaluate: * 1 2 z² dz z²+3z +2 -6лi 3лi inside the circle |z| = 4 4 3 -6 πί

A:

Q: lim_g(y) where, g (y) = y-2, lim g (y) y² +5 ify -7 = -| નવ DNE y² +5 1-3y lim y+-2, if y < if y2-2…

A: The given functions, 1) gy=y2+5if y&lt;-23-3yif y≥-2 2) gy=y2+5if y&lt;-21-3yif y≥-2

Q: Find the stationary points of the function y = x¹ - x³ +1. = • Use a sign diagram to classify each…

A: The given function is y=x4-x3+1. Differentiate with respect to x, to get dydx=4x3-3x2 The stationary…

Q: The graph of the function is given in the attachment . Please find the domain and range

A:

Q: Is the function g(x) continuous at x = 2? G(x)= x-2' 4, for x # 2 Yes No for x=2 Choose the correct…

A: Using the formula:Average rate of change of F(x) at a,b is:    (F(a)-F(b))/(a-b)

Q: D. Tim x 3. 2x² +4. X-5

A:

Q: Determine the work done by the constant force. The locomotive of a freight train pulls its cars with…

A: We have to determine the work done by constant force.

Q: Find the equation of the plane that contains the point (3,-1,4) and is parallel to the XY plane

A:

Q: Find the inverse Z-transform using the residue theorem of the following X(Z) function: Z-1 {} +-2)}…

A:

Q: 6.) an sin n 52 +1

A:

Q: (a) Find the slope of the curve y=x³-7x at the given point P(1,-6) by finding the limiting value of…

A:

Q: Find the intervals on which the function is continuous.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the area of triangle ABC if <C =150°, a = 4, and b=5

A: We need to find area of triangle.

Q: Evaluate the integral J- -4 ta -4 tan²(x) dx

A:

Q: Given the table below: -4 -2 -1 1 9 7 5 g(x) 10 9 3 4 I Evaluate ()-[ (4) 9 -3 Check Answer 0 2 6 2…

A:

Q: Consider the line L(t)=⟨4−t,−4−2t,−5−3t⟩L(t)=⟨4−t,−4−2t,−5−3t⟩. Then:     L is           to the…

A:

Q: If f(k)=3k² +2, find lim h-0 [f(k+h)-f(h)] h

A: For the given function, need to find out the given limit.

Q: Find the second derivative of the function. f(x) = (x2+5)8 F"(x) =

A: Given query is to find the second derivative of the expression.

Q: Find the DE by eleminating the arbitrary constants y = C1e^x + C2cos(x) + C3sin(x)

A:

Q: Find the location at t = 3 of a particle whose path satisfies 7 - ( 18 - ( + 1)2². (t dr dt ,2t r(3)…

A:

Q: Find the limit of f(x) = lim_f(x) = -7+ 7- as x approaches ∞o and as x approaches 5 X X-8 (Type a…

A:

Q: Let R be the region given by the graph below. y = 6 - 2x y = (x + 1)² X A. Calculate the…

A:

Q: Problem 1: let f(h) = 6.7 h²+ 4.92h Evaluate (2) ; r(h) =

A: Given: 1) fh=6.7h2+4.92h ; rh=295h 2) j(y)=y2  ;  py=y-128

Q: What is the Domain and Range f(x) = 1/√x³+8

A: Here we have to find out the domain and range of the given function.

Q: Evaluate: * 1 2 گھر z² dz z²+3z +2 -блі 3лi inside the circle |z| = 4 4 3 -6 πὶ

A:

Q: Problem 2.3: Find the G.S. of Hint: Recall relationship y' = d = dx dy = (x dx + y) y ³ dy dx (1²)

A: Please refer to the image below

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A:

Q: 2)Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by…

A:

Q: S4x 6 1 3 1 2x³ + 7x - 4dx

A:

Q: 20 -6 -5 -4 -3 -2 -1 f'(-2) = -2 f'(-2) = 2 f'(-2) = 1/2 f'(-2) = -1/2 .......... 5.... A 3 2 1 -1…

A: Given query is to find the derivative at x=-2.

Q: In Exercises 5-8, give the first five terms of the given se- quence. = { 5. {an} = 6. {bn} = -{(-9)}…

A:

Q: Let f(x) = 6x3 and g(x) = x² – 8. Compute the following functions. 1. f(g(x)) = | 2. g(f(x)) = 3.…

A: The functions are given by fx = 6x-3 and gx = x2-8 To determine: The expression of the following…