What is the component form of the vector represented by 6a when a = (-2, 3)? 6a =

Q: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm. Part: 0/3 Part 1 of 3…

A:

Q: A well stirred tank originally contains 100 gal of fresh water. Then brine containing 1/4 lb of salt…

A:

Q: The position function of moving body is given by the equation s(t) = −5+ 5 cos t (s in meters, t in…

A:

Q: 3 aj X dx 2 12 = 4x²y

A:

Q: A volume is described as follows: 1. the base is the region bounded by x = −y² + 12y — 17 and x = y²…

A:

Q: Convert the rectangular coordinates (-5, -5√3) to polar coordinates, (r, e), where r is positive and…

A:

Q: 6. Explain in words how a student would determine the magnitude of the vector P[2, 3, 1]. There is…

A: To determine the magnitude of a vector P[2, 3, 1], a student would follow a simple set of steps. 1.…

Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

A:

Q: Consider the following piecewise defined function ae*-b, x < 0 ax² +b, 0≤x≤2 a(x − 3)³ + b(x − 4) +…

A:

Q: Evaluate the double integral. y 162²2², 04. + dA, D = {(x, y) | 0≤x≤ 7,0 ≤ y ≤ √√x}

A:

Q: 38. f, f(x) dx where f(x) - -{-x if -24x50 4-x² if 0<x<2

A:

Q: 1. Use the graph off to state the value of each statement if it exists. a. lim f(x) C. X→-1- b. lim…

A: Existence of limit at a point:We know that for limit to exist at any value of x, say x=c exists only…

Q: Find the slope of the line tangent to the curve y = 5ª³ at x = 1. 5 15 In 5 5 ln 5 O ln 5

A:

Q: The Laplace transform of an ODE, Y (s) has been found to be: e S 1 2 1 s² + 1 2 s² + 4 - S +3 (s −…

A:

Q: Find the indefinite integral. 9x8 +9 [... (x⁹ + 9x)² dx

A:

Q: Suppose the rate at which the volume in a tank decreases is proportional to the square root of the…

A:

Q: Evaluate the integral. 8 S² (4+1)" a dt √₁5 (4+10) 8. dt =

A:

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: Convert partial fraction decomposition of the function

Q: Find the value of c so that the function x² + cx if x 1 is continuous for all real numbers.

A:

Q: x1 x³ - 1 D)] sin x - cos x 13. tan x - 1 Svig SIUSI PH e21 HI -1 15. lim lim x→/4 We

A:

Q: Find the inverses of the matrices in Exercises 39-42, if they exist. Use the algorithm introduced in…

A:

Q: Evaluate the following definite integral. Provide your answer below: Lax√812²-81 dx

A: The given integral is 8/[x sqrt(81x2-81)], limit from sqrt(2) to 2.

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 8.…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: Find a Cartesian equation for the curve. r2 = 11

A:

Q: hi , the solution is not visible can you please help

A:

Q: how do i do this problem ? find the real roots of cos(x) = x3

A:

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A:

Q: X Find the derivative of y = x • xx−1 X. x ln(x) x* (ln(x) + 1) In(x) + 1

A:

Q: Evaluate the integral. te⁹t dt Step 1 Recall the formula for integration by parts, which states that…

A:

Q: Let à = ā ( – 5, — 4, 5) and b Find the projection of b onto a. proja b = (3, 1, 0). V

A:

Q: Find and sketch the domain of the function: f(x, y) = 25-x² - y² In(xy)

A:

Q: Evaluate the integral -2 Te ex dx Note: Use an upper-case "C" for the constant of integration.

A:

Q: d) Not every function has an absolute maximum_ e) Local extrema cannot occur at the end point of a…

A:

Q: Draw a sketch of the graph of f(x) = 2√x + 1 − 1. Explain the trans- formations of the graph of…

A: Explaination of the answer is as follows

Q: Confirm that the integral test is applicable and use it to determine whether the series converge Σ₁…

A:

Q: Let f(x) = log6x and g(x)=₁*. For all x g(x).

A:

Q: A coroner arrives at a murder scene at 7 p.m. She finds the temperature of the body to be 87.4°F.…

A: The room temperature, =Initial temperature, =Temperature after one hour, =

Q: 2. Given that p = (5,-2,4), (3,-4,-2), and F = (-3,2,1), calculate the following. a) p q b) the…

A:

Q: 9. Determine the exact point on the line x + 2y = 2 that is closest to (0, 0).

A:

Q: State the range for the function: ƒ(x)=-log₁(x−1)+2 O (-00,00) O (-∞, -1) O (0,00) O (-00,0) 82°F…

A:

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 2. R is the…

A: Given :- R is the region bounded by y=x²+1 , and the lines y=2 and y=5.To find :- The area of region…

Q: Evaluate. Assume u > 0 when In u appears. 7 e3x e3x + 1 hrs dx

A:

Q: Find the sum of an infinite geometric sequence in which a1=550 and r =3/8

A: We know that the sum formula of the geometric series is a/(1-r)

Q: State the horizontal asymptote for the function h(x) = -e - 10:

A:

Q: A winch on a sailboat is 13 in in diameter and is used to pull in the "sheets" (ropes used to…

A:

Q: Question 2. a -1 ·(9) :)+(C) -(0) b +3 2 с 5 3 a. If 4 Find a, b, c b.If X + 0 = X what can you say…

A:

Q: We have determined that A = 36 and B = -6. Therefore, we have the following. A 6x + 1 30 (6x + 1)(x…

A:

Q: State the domain for the function f(x) = log₁(x - 5) + 4: O (5,00) O (-00, 5) O (-00,00) (0,00)

A: We have to state the domain for the function

Q: Determine the value(s) of x for which f(x) = -3x² - 5x20 has a horizontal tangent line. If there is…

A: