Find the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at the given value of t. r(t) = 9 cos(2t)i + 9 sin(2t)j + tk, to 4

Q: y'' - 25y" = 8x7 Find the Differential Operator for the Left Side of the differential equation. A (D...

A:

Q: Test the series below for convergence using the ratio test. n2 Σ 1.5" n=1 The limit of the ratio tes...

A: f(n)=n2/1.5n

Q: An open-box with a square base is to have a volume of 500 cubic inches. The material for the top and...

A:

Q: The reference angle for an angle 0 (in degrees) is the angle 0' = 360°n – 0, where n is an integer a...

A:

Q: Suppose that the manufacturing cost of a personal digital assistant (PDA) is approximated by M(x.y) ...

A:

Q: g(x) is the graph of f(x) shifted down 3 units and left 4 units, write a formula x)= ter Vx as sqrt(...

A: Given: f(x)= 4√x

Q: cos(x) The Trapezoidal Rule approximation for da with n = 4 is:

A:

Q: 1) Consider the graph of the function f(x) = 5x -8x a) Find the slope of the secant by sketching a g...

A:

Q: 1 If 15.0 liters of neon at 25.0 °C is allowed to expand to 45.0 liters, what must the new temperatu...

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... than...

Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

A:

Q: What value(s) of o are an appropriate choice when proving the following limit? lim (2 + 9x + 25) = 5...

A:

Q: Please solve this using non-extract 2(x³+xy²+y)dx+(2x²y³+4xy²+ 2x²y+x⁴y+2x)dy=0 ; y(2) = 0

A:

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -...

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx, y=32x...

Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: Let f(x)=sec(x) The domain of f(x) is: x∈ℝ-π2,kπ, k∈ℤ

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = t³i + 3t²j...

A:

Q: Find the derivative of: – 8e-8* cos( – 3x). [Hint: use product rule and chain rule!] Use e^x for eª....

A:

Q: 52. 0 = 6. 54. 0 = 12.9

A:

Q: Q1 (а) Calculate the first-order differential equation below using transformation y = xv. dy х +3у%3...

A:

Q: Q3 Given the following non-homogeneous system of first-order linear differential equation: yi' = 5y,...

A:

Q: *Problems Involving Continuity A. Tell whether each given function has a solution on the indicated c...

A:

Q: (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find t...

A: Follow the procedure given below.

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

A: We will find the anti derivative. 

Q: Evaluate the expression. 2 7 + 3 6. 1 + 7+ 5- (Simplify your answer. Type an integer or a fraction.)

A: Topic:- algebra

Q: Find f'(t) for the function f(t) = est +sin(t) 2t Do not simplify the expression you get. 2t(3et +co...

A: To find f't of the given function.ft=e3t+sint2t

Q: Second-order non-homogeneous ordinary differential equation given a y" +3y' – 10y = e²* Calculate th...

A:

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9.

A: Given, We have to find the area enclosed by the x-axis and the curve y=-x2+9.  

Q: 2. Find the indicated values. f(g(3)) f(x) 9(x) 51 54 S(8(1)) g(S(1)) 4- 4- 8(5(0)) 3 S(S(5)) 2- 2 S...

A:

Q: If a cup of coffee has temperature 94°C in a room where the ambient air temperature is 18*C, then, a...

A:

Q: Complete the table. lim f(x) 3 x→3 2 = -00 lim f(x) %3D x -00 2 4 lim f(x) -2 -1 0 5 6 7 8 %3D lim f...

A: Solution

Q: write the slope-intercept forms of the equations of the lines through the given point (a) parallel ...

A:

Q: Find all the values of e such that the given series would converge. (z – 11)" n( – 7)" n=1 The serie...

A: series

Q: Use Simpson's rule with n = 4 to approximate 11 3Va? + ædx Keep at least 2 decimal places accuracy i...

A: ∫abf(x)dx=∫3113x2+x dx where   a=3,b=11 and n=4then h=b-an=11-34         h=2 Simpsons Formula is giv...

Q: Given the differential equation y" + 6y' 5e2 cos(9x) Find the Differential Operator for the Left Sid...

A:

Q: A weight-loss counselor has prepared a program of diet and exercise for a client that gives the foll...

A:

Q: Use a trigonometric substitution to evaluate the integral. dx

A:

Q: 18( cos54 + isin54°) 3(cos102" + isin102" )

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A:

Q: P(#) Question 4: When working with rational functions of the form f (x) = and the function does inde...

A:

Q: Find the center of mass of a thin plate of covering the region between the x-axis and the curve y = ...

A:

Q: В

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Given problem:- Use the method of cylindrical shells to find the volume generated by rotating the re...

Q: *The limit of a function Evaluate the given limits numerically (using table of values) and graphical...

A:

Q: 1. Determine the important parts of the conic and sketch their graph. а. у? + 2х — 10у — 31

A: As per our guidelines we are supposed to answer only one question i.e. the question no 1)a). For the...

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = 2x2 +3xy ...

A:

Q: Function Type Differential Operator ... AxN + BxN-1 + .+C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx) ...

A: We will find the differential operator by the given table. We will use second row to find the requir...

Q: Forms of Summation Notation 5. Sum of the squares of the variables: Ex = x,² +x,' +..+x,² i=1 Exampl...

A:

Q: d(tan (1)) d(tan x) – 2 for x="% and y = 1. Find the dx using the rule we tan x, dx arned in class f...

A:

Q: Which of the following is not in the domain of tan(x)? Select all correct answers. Select all that a...

A: Given that: f(x)=tanx

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = x2 - 6xy ...

A:

Q: derivative

A: