2. Determine à b, if |a| = 5 and || = 6.

Q: Consider the following vector function. Find each of the following. r'(t) = r¹(5): |r'(5)| = r(t) =…

A: Please see the below picture for detailed solution.

Q: Obtain the general solution of the following differential equations. 4. x(x² + y²)²(ydx -xdy) +…

A: Given differnetial equation:- xx2+y22ydx-xdy+y6dy=0

Q: Use Ayf '(x)Ax to find a decimal approximation of the radical expression. √29

A: By using ∆y≈f'x∆x to find a decimal approximation of the following  radical expression. 29

Q: 2. If side BC of AABC is trisected by points P and Q, prove that ABAC = AP + AQ

A: Consider the triangle

Q: Use the first derivative test to find the location of all local extrema for the function given…

A: Given function f( x ) = -8x65 + 4x25

Q: Find the velocity and position vectors of a particle with acceleration a(t) = 10k, and initial…

A:

Q: at is the general solution to the equation? 10 = 2 cos 0 tan 0 g solutions to the box to correctly…

A: Please see the below picture for detailed solution.

Q: Let y = tan(2x + 5). Find the differential dy when x = 4 and dr 0.2 Find the differential dy when I…

A:

Q: A student decides she wants to save money to buy a used car, which costs $2600. She comes up with…

A: Please find the solution as per Bartleby guidelines

Q: Consider the graph of f shown below. Use the graph to determine the following. If a quantity does…

A: We need to find derivative.

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A:

Q: Obtain the particular solution satisfying the initial conditions indicated. 1. ³ (3x²y − x²)dx + ex³…

A: The given differential equation:ex33x2y-x2dx+ex3dy=0

Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: We have to find the average acceleration form the above table given.

Q: f(x) = 2x³ - 3x² - 36x +14 use f'(x), find decreasing interval

A:

Q: Let f(x) = 4x² + 10x - 5. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

A: To find equation of tangent line

Q: A wire of length 130 inches will be used to make the frame (edges) of a box with a square bottom. W…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: The graph off and a tangent line to the graph of f are shown below. Use the graph to answer the…

A: f’(2) = slop of tangent line at x=2 f’(x) = m = (y2 - y1)/(x2 - x1)

Q: Find an equation of the tangent line to the graph of the function f defined by the following…

A:

Q: Follow the steps below for the given function. x³ 4x² - xy = 7 Solve the equation for y. y =…

A: x3-4x2-xy=7d dx(xn)=nxn-1d dx(constant)=0

Q: An automobile company is running a new television commercial in five cities with approximately the…

A: Given

Q: 18.1 Let f(x, y) = xe &- yet². +२ 69x a Find the equation for the tangent plane to the graph of fat…

A: (a) To find the equation for the tangent plane to the graph of f at (1,2), we need to find the…

Q: Find the first and second derivatives of the function. g'(u) = g"(u) = g(u) = u(4u – 7)³ 1

A:

Q: Consider the equation of the line, c(c² + 2)y= c - x where c> 0 is a constant.

A:

Q: Find the area of the curve: y = 9-x² and the x-axis

A: We are authorized to answer one question at a time, so we are answering the first one. Please repost…

Q: The temperature, T, in °C, of a potato put into an oven is given as a function of time, t, in…

A: Solving the following problem

Q: Obtain the general solution of the following differential equations. 8. (ysin x+xy cos x) dx +…

A:

Q: Which of the functions are polynomial functions? (Select all that apply.) > > S 13 33 J U C P e 2…

A: To determine the functions that are polynomial functions.

Q: Find the total differential of the function y = f(x,z(w)) · g(w,x).

A:

Q: Why don't we make use of negative 4?

A:

Q: 3. Evaluate the limit by making a table. Then sketch the graph from your calculator. sin x lim x-0 x…

A: To find:- limx→0sinxx

Q: If f is decreasing and its graph is concave up on (0, 1), which of the following could be the graph…

A:

Q: Find the nominal interest rate that yields an effective interest rate of 7%/year compounded…

A: ⇒i0=1+rnn-1⇒i0=Effective annual interest rate ⇒r=nominal interest rate per year⇒n=number of interest…

Q: A baseball team plays in a stadium that holds 53,000 spectators. With ticket prices at $10, the…

A: Given attendance denoted by = x there are two points ( 38000 , 10 ) & ( 42000 , 8 )

Q: x  ≤  12 −4x + 144 x  >  12 Evalute 36 ∫ 0 f (x) dx. (Note that since  f (x) is defined in a…

A:

Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane y + z…

A:

Q: Consider the function f(x) = 2x³-9x² slope of the function on this interval. By the Mean Value…

A:

Q: For the function y = f(x) = a. Find df dz = f'(2) b. Find a formula for x = = f ¹(y). f(y) = c. Find…

A: We have to find asked values in the given question.

Q: Consider the following. h(x) = ex²_ Find h '(x). h'(x) = 2xe+² Solve h'(x) = 0 for x. X = h(0) =…

A: The given function is: hx=ex2-9 Use the Chain rule: fgx'=f'gx·g'x And Power law: ddxxn=nxn-1

Q: Determine the intersection if any between the line L₁: [x, y, z] = [3, 2, − 5] + r[0, 1, 4] and the…

A:

Q: Combine the sum of the two iterated integrals into a single iterated integral -3√2/2 xy dy dx √9-1²…

A: Convert into polar form

Q: If C(t)= 18.5te -0.3t measures the concentration, in of a drug in ng ml' a person's system t hours…

A:

Q: Solve the equation on explicitly for y adn differentiate to get y' in terms of x. 5/x - 1/y =3

A:

Q: In Exercises 24-34 sketch the parametric curve by eliminating the parameter. 24. x = 2t - 1, y =…

A:

Q: 11. Find the differential equation of the family of lines passing through the origin 12. Solve the…

A:

Q: 1. S dx 2 3x +12x+15

A: Formula to be used I=∫1x2+a2dx=1atan-1xa+c

Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. √84 What is the value…

A:

Q: Find parametric equations for the tangent line at the point (cos (π), sin (π), ) on the curve x = =…

A: We can find the equation of the tangent line using derivatives.

Q: A dense particle with mass 6 kg follows the path r(t) = (sin(3t), cos(9t), 2t9/2) with units in…

A:

Q: Find the distance from the point Q = (-3, 4, 5) to the plane -5x - 5y - 3x = 9.

A: We will find the required.

Q: For the following integral.Seda using n=5 subintervals a) Find the Midpoint Rule Approximation, as…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…