Find the principal unit normal vector to the curve at the specified value of the parameter. 6 r(t) = ti + =j, t = 2 N(2) = 0.832i + 0.554j eBook X

Q: Obtain the particular solution. 1. 2y dx = 3x dy ; when x = 2 , y = -1 .

A:

Q: Use summation notation to write the sum. 12 - 3 + 3 4 3 256

A:

Q: 12. Find the directional derivative of f(x, y, z)=zy+yz+xzat (1, 1, 2) in the direction of u =…

A: We can find the directional derivative in the following steps.

Q: Answer true or false. If f is not piecewise continuous on [0, co>), then L{f(t)} will not exist.…

A: Existence of laplace transform Theorem: If F(t) is a piecewise continuous function on every finite…

Q: Identify the surface by completing the squares. A hyperboloid of one sheet. O An elliptic cone. O A…

A:

Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: Refer to the model Q(t)=Qe -0.000121/ used for radiocarbon dating. At an archeological site,…

A: As per guidelines we must answer only one of the multiple questions given. So, I answer only the…

Q: Problem 1 x²-2x x²-4 For the function above, please find the following: a) The domain of the…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take…

Q: 3 3. Evaluate II 3i]= i=1

A:

Q: K Begin with the graph of y=e*. Use transformations to graph the function below. Then determine its…

A:

Q: Q5: al State and prove the theorem of derivative of inverse functions. -1 bl Use the theorem steps…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: An epidemic is spreading at the rate of 11e0.2t new cases per day, where t is the number of days…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan? 10 sec 1. X X dx

A:

Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b)…

A: Given region in the first octant bounded by  xy=1 , xy=3 , y=2x and bounded below z= 4 i.e z=0 to z=…

Q: Use the Laplace transform to solve the given initial-value problem. 2t y" - 3y' = 8e²t - 2e-t, y(0)…

A:

Q: Verify the identity. (Simplify at each step.) 3 cos(x + y) cos(x - y) = 3 cos(x) - 3 sin²(y)

A:

Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: Find the indefinite integral. (Use C for the constant of integration.) (15. (15x38x) dx

A:

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

A:

Q: Find the inverse Laplace transform of the given function. 7! (s — 5)8 NOTE: Express your answer in…

A: The give Laplace transform is Fs=7!s-58

Q: Determine where the function is concave downward. f(x)= -x^2+8x+8

A: Given, f(x)= -x^2+8x+8 We know that, We can calculate the second derivative to determine the…

Q: Convert the point (3, −3) in rectangular to polar coordinates (r, 0). 7T 18, (7) 3√2,

A: NOTE: Refresh your page if you can't see any equations. . the given point is

Q: Consider the function 2yx+3x T²+3y² 0 Determine whether this function is continuous at (0,0). F(x,…

A:

Q: Use the Quadratic Formula to find all solutions of the equation in the interval [0, 2π). (Enter your…

A: The general solution of cos θ = cos x  is : θ = 2nπ ± x , where n ∈ Z.

Q: Use the double angle formula to find the exact value of 2 cos² ETOO 1

A:

Q: Find the value of a necessary for there to be a local minimum at x = 2 for the function f(x) = -ax²…

A:

Q: f(x) is continuous on (-∞,∞o). Use the given information to sketch the graph of f. f'(x) +++ 0…

A:

Q: * Incorrect. If y, and y₂ are linearly independent solutions of t²y" + 3y +(4+t)y = 0 and if W(y₁,…

A:

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A:

Q: - A gardener has 120 feet of fencing to fence in a rectangular garden. He wants one side of his…

A: According to the question: l+3w=120 or l=120-3w a)The area A of the garden is:           A=lw…

Q: Using the given graph of the function f, find the following (a) the intercepts, if any (b) its…

A: Given graph:-   To find:- Using the given graph of the function f, find the following(a) the…

Q: Solve the initial value problem y" + 8y' + 16y = 0, y(-1) = 3, y'(-1) = 6. y(t) = = e -4t -4t + xe X

A:

Q: theres three steps.    A manufacturer of upholstery can sell 33 yards of fabric at a price of $1.63…

A: the demand function D(x)= m(x-x1) + p1 where m= (decrease in price)/(increase in production) p1=…

Q: The region bounded by f(x) = - 2x² + 8x + 24, x = = 0, and y = the volume of the solid of…

A:

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 Inches above the…

A:

Q: The population of the United States is predicted to be P(t) = 310e0.0073t million, where t is the…

A:

Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) f(t)…

A:

Q: A store is deciding what types of fruit to stock nearest to the registers. They can either stock…

A: Let's find maximum potential revenue fruit.

Q: Use the model A Pe' or A=. for years. If $11,000 is invested in an account earning 6.5% interest…

A:

Q: Find a formula for the nth term of the arithmetic sequence. 8₁ = -3, 85 21

A:

Q: and ₂ Given that the matrix A has eigenvalues ₁ = -6 with corresponding eigenvector V₁ = - = 6 with…

A: The matrix A has eigen values λ1=-6 with corresponding eigen vector v1=1-1 and λ2=6 with…

Q: 7 Find f(x) if f'(x)= and f(1) = 4. X 7 --x-3+19 O B. f(x)= -28x-5 +32 7 O c. f(x)= 3 O A. f(x) =…

A: As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1   Given: f'x=7x4 So, we can also write as;…

Q: Consider the following graph. -10/ -S 7.5 -7.5 X 1) Determine the intervals on which the function is…

A:

Q: 9. Given the function y = x^3 - 9x^2 + 15x - 3. Determine the coordinates of the point of…

A:

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: We know that for a position vector  rt = xt, yt, zt, velocity  vt = r't = x't, y't, z't speed  st =…

Q: 9. If dy = xy² and if y = 1 when x = 0, then when y = 3, x is equal to dx 0 -0 DIE

A:

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: Write the linear regression equation that represents this set of data, rounding all coefficients to…

A: