Use the calculation thought experiment to say whether the expression is written as a sum, difference, scalar multiple, product, or quotient. HINT [See Example 3.] y = x4 − ((x2 + 140)/(6x-1)) Use the appropriate rules to find its derivative.

Q: The two vectors u = and v=:

A: Given,            The two vectors are u=<2,4,6> and v=<-6,-12,-18>.

Q: (1+x*)dy-x (нуе Јахоо

A:

Q: Dave keeps track of the revenue that his factory makes over time using a linear function: y = 5.50x…

A: Given:y=5.50x+200y represent total profit  of company  and x represent by number of boxes

Q: Compute each expression, given that the functions f and k are defined as follows: f(x) xm6 k(x) 2,…

A: Solution:   Given functions,   f(x) = 5x - 6   K(x) = 2   (fk)(x) = 10x - 12   (kf)(x) = 10x - 12

Q: Indicate whether the given series converges or diverges, if it is converges find its sum. 43. a. k=1…

A: We have to check given series converges or diverges and we have to find its sum if any series…

Q: The graph of the following function - - 4 * 1 * O True N W W a linear function. False

A: The graph is given

Q: Assume that the population of a city satisfies the logistic hypothesis: "The rate of change of…

A: Let the year 1960 is denoted by t=0.Therefore year 2000 is denoted by: t=40Let the population at…

Q: 2. Use the Limit Comparison test to determine convergence or divergence. 1 Σ n=1 n√√√n+1

A:

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 2 Σn=1 n!

A: Ratio Test: For the series ∑n=0∞an , Let L=limn→∞an+1an Then (i) If L<1, the the series ∑n=0∞an…

Q: Solve for x, y, z and w. (Enter your answers as a comma-separated list x+y y+ 35 +²]-[³5] Z + W 4 1…

A: We need to calculate the values of x,y,z,w by comparing both the Matrix.

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

A: Solving the following problem

Q: B) +4 0 tan x, N = 5

A: To approximate the value of the integral using the composite trapezoidal rule with N=4 subintervals,…

Q: Suppose g(x) is a constant function such that g(x) > 0 for all ï. The limit 4x² + x g(x) - 2x is…

A:

Q: = Determine the angle between vectors p [- 3, 4, - 12] and q = [- 6, 0, 8].

A:

Q: Evaluate the given expression. Take X 3 B-B and C A= 2 AT + 3CT 5 ↓ T -1 -2 ↓ ↑ 1 1 -1 -1

A:

Q: 43-45 Use the formula in Exercise 42 to find the curvature. 43. x = t², y = t³ 3

A: As per your request (43) given that , x=t2 , y=t3 find the curvature.

Q: Choose the correct answer below. A. √7 sin 38°,√7 cos 38°) B. (√7 cos 38°√√7 sin 38°) c. (7 cos…

A:

Q: Find the absolute extrema of the function f(x, y) = x² + y² +x+y+1 on the domain defined by x² + y²…

A:

Q: Use log differentiation to find the derivative of y=xe5x 5x³

A:

Q: 1. Write the first five terms of {a}, determine whether the sequence converges or diverges, and it…

A:

Q: II) Consider the two vectors u = and v=. b) Find u x v, u x vand u. v. c) Prove that : u × v|² + (u.…

A:

Q: A line, in R³ which passes through the point (xo, yo, zo) and with the direction vector (a, b, c),…

A:

Q: Perform vector operations. Let Q=(4,1) and S = (2, -7). Find the component form and magnitude of the…

A: Given query is to find indicated vector and it's magnitude.

Q: The demand function for a certain product is given by 1000 q + 1 where p is the price and q is the…

A:

Q: The arc length of the curve y = -In (797) 121 4624 + 0-11+ In (52) 68 11-In (79) 68 0-11+In(127) 68…

A:

Q: owing vect both of the vectors i+k and -j + k? is orthogonal to

A: We know that a vector which is orthogonal to two given vectors simultaneously can be found by their…

Q: For the triangle shown, find the length AD. (Assume u = 19, v = 19, ∠x = 40°, and ∠y = 40°. Round…

A:

Q: In 1980 the population of alligators in a particular region was estimated to be 1700. In 2004 the…

A:

Q: During the human female menstrual cycle, the gonadotropin, FSH or follicle stimulating hormone, is…

A:

Q: Obtain the general solution to the equation. (36-x²) x²y = (6 + x)√36-x² 2 dy dx 6 The general…

A: The given differential equation is: 36-x2dydx-16x2y=6+x36-x2

Q: 6.. Compute the indefinite integral dr 2+x² by making the standard trig substitution x=√√2 tane.…

A:

Q: A stone is dropped from the upper observation deck of a tower, 450m above the ground. Find the…

A:

Q: Which of the following is equivalent to the expression log, (r) + 4 log, (w) + logg (x)? logg (4rwx)…

A: We know that the logarithmic properties: 1). logbxa=a·logbx where x,b>0, b≠1 2).…

Q: The function f(x) = 2x³ - 45x² + 300x and the larger one equals 4 has two critical numbers. The…

A:

Q: Find the point on the graph of f(x) = x² in which the tangent line is y = 4x - 4

A:

Q: $1850 is invested at 5.0 % compounded continuously. How long will it take for the balance to reach…

A:

Q: Find the curvature of the curve y = x at the point (1, 1).

A: To find curvature of given curve at (1,1) point.

Q: True or false: For any real number a > 1, d[a® ] = log₁(x) aª

A: let y=axlogxn=nlogxd dx(logx)=1x

Q: f(x)= f(x)= 1 √4x²-3 Let y = f(x) be the particular solution to the differential equation which the…

A:

Q: Let Y(t) be a population of yeast in a sugar solution that begins with a concentration of 10…

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

Q: QUESTION 4 Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or…

A:

Q: 1. [DA2] Consider the graph of the function f(x) defined over the interval [-5,7]. -5 -4 -5 -3 N 2 3…

A:

Q: Find all the x-coordinates (in increasing order) of the 2 points on the curve x²y² + xy = 2 where…

A:

Q: Find the magnitude and direction angle of a vector. Find the magnitude and direction angle of the…

A: Given vector:- -4,3

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 4x +…

A:

Q: b) How large rebate should the company offer to a buyer, in order to maximize its revenue? $ c) If…

A:

Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 7 for f(x) = ln(x + 1) a. T₂(x) =…

A:

Q: Identify the function. √4 - x O Quadratic O Cubic O Linear O The function is not linear, quadratic,…

A:

Q: Find the solution to the recurrence relation an a₁ = 8. an = = 3an 14an-2 with initial terms do = =…

A: Note: As per our company guidelines we are allowed to solve one question at a time. Kindly repost…

Q: Σ (5) k=2 3k Select the correct choice below and, if necessary, fill in the answer box to complete…

A: Given query is to find series converges or diverges.