= 17. A triangle is to be inscribed in the ellipse x² + y² with one vertex of the triangle at (-2, 0) and the opposite side perpendicular to the x axis. Find the largest possible area of the triangle.

Q: The table below shows values of a force function f(x), where x is measured in meters and f(x) in…

A: Here, the work done is given by:

Q: Determine three of the given vectors that form a basis for space (R^3) and express the fourth vector…

A:

Q: Use the sum formulas to express the following without the summation symbol. 1- 7(n+i)(n-i) n3

A: Given:

Q: please solve

A: A thorough explanation is provided below.   Explanation:To find the area between the x-axis and the…

Q: Jse Simpson's Rule and all the data in the following table to estimate the value of the integral…

A:

Q: The graph of the function f is shown below. Determine the value of lim simplest form. -10 -9 -8 -7…

A:

Q: Consider the function h(x) x² 2x + 3,x € R. For what values of æ is the gradient of the curve of…

A: The given function is .The aim is to find the values of  is the gradient of the curve of  negative.

Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (-1t sint,…

A:

Q: Write a degree 2 Maclaurin Polynomial for f(x) = -4 cos(-2x).

A:

Q: The function g is continuous on the interval [a, b] and is differentiable on (a, b).Suppose that…

A: The objective of this question is to find the minimum number of points in the interval (a, b) where…

Q: the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at (3,…

A:

Q: Consider the Morse Potential, 2 ax V(x) = D. (1 − e¯ªx)² - where x is the displacement of the bond…

A: The solution is given below.Explanation:

Q: what does f'(m) = ?

A: f'(m) represents the derivative of the function f(m).f'(m)=

Q: Find the point at which the line meets the plane. x = 4 + 3t, y = −2+ 6t, z = 2t; x+y+z=2 The point…

A:

Q: 2. Find the velocity, acceleration, and speed of a particle with the given position function. (a)…

A:

Q: Evaluate the integral. (Remember the constant of integration. Remember to use absolute values where…

A:

Q: 2. Determine whether each of the following functions is a solution of Laplace's equation, Urz+uyy =…

A:

Q: Please use Differential equation or intergral equation to solve thanks

A: written solution provided.Explanation:Step 1:Step 2: Step 3: Step 4:

Q: 5. Find the linear approximation of f (x, y, z) = x³y² + 22 at the point (2, 3,4). Use this to…

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…

A:

Q: 12. [1, 2] AROC: 7 6 5 4

A:

Q: K Y R = G Match each equation with a graph above y = 3(1.3)² - ✓ y = 3(1.58)* ✓y=3(0.72) y = 4(1.3)*…

A: y=3(1.3)x=blue (B) y=3(1.58)x =Orange(O) Both the above graph exponential and base is greater than…

Q: Find the centroid of the region lying underneath the graph of the function f(x)=√ over the interval…

A: f(x) =

Q: A spherical balloon is inflating with helium at a rate of 400x ft3/min. How fast is the balloon's…

A:

Q: A mathematical model for the temperature in City B is given below. T(t) = 39 sin (t - 101)) 27 365…

A: (a) 7(b) 51Explanation:Given the mathematical model,T(t)=39sin(3652π​(t−101))+24where t is time in…

Q: (a) Show that the sequence is strongly decreasing and downward bounded. (b) Show that the sequence…

A: The objective of this question is to prove that the given sequence is strongly decreasing and…

Q: Evaluate the integral by reversing the order of integration. 60+8 6e* dx dy

A: To evaluate the following integral by reversing the order of integration.

Q: Let ā= −i − 2j + 3k, b = i - 2j + 3k, c = −i +2j - 3k.

A: The given vectors .The objective is to find the vector that is perpendicular to both  and .

Q: Consider the right triangle shown below where a = 10.34, b = 10.86, and c = 15. Note that and are…

A:

Q: 2. 10 points Solve the first order initial value problem dy y(0) = -2 dx + 2y = 3e-*,

A:

Q: Consider the graph of y = f(x). y 5 4 3 2 1 1 2 3 4 5 6 789 Identify the intervals from the graph…

A: 3<x<55<x<7Explanation:Given the figure, we are going to determine the intervals where…

Q: Use the function y = 6x from x = 0 to x = 1 and n equal subintervals with the function evaluated at…

A: The given function  from The area under the curve by using Left hand endpoint over the interval

Q: day is given by the following. P(x) = -0.05x² + 22x - 120, 0 < x < 400 (a) List all the critical…

A: Note: According to Bartleby guidelines, we can solve only first three subparts of the question.  If…

Q: A bank features a savings account that has an annual percentage rate of r = 2.9% with interest…

A: (A) a = $2,000 (the initial deposit)r = 2.9% (annual interest rate)k = 4 (since interest is…

Q: Let f(t) = (t² + 4t+8) (2t² + 3). Find f'(t). f' (t) = Find f'(5). f'(5)=

A: The given function

Q: Given selected value of the function f and its derivative in the table below, determine the value 4x…

A: Let assume,

Q: An isosceles triangle with uniform density (mass per unit area), height h, and base bis placed in…

A: Given that ,Height = hBase = bfind the x and y coordinates of the center of mass.

Q: Find the center of mass of a laminate bounded by y=−x,y=x,y=2 with variable density modeled by \rho…

A: The objective of this question is to find the center of mass of a laminate with variable density.…

Q: Evaluate the intergrals

A: Please check it explanation section all answer in square box.Explanation:If you have any problem let…

Q: The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is…

A: Formula

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A: The figure

Q: Often the tricky part of beginning to evaluate an integral is deciding which technique(s) to use. In…

A:

Q: Find the general solution to the equation in implicit form dy 1 dx = yey+x

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: For each pair of integers m and n, use the division algorithm to divide m by n. Write the result in…

A: Given:pair of integers m and n.To find:Use the division algorithm to divide m by n.

Q: (a) Show that the sequence is strictly decreasing and downward bounded. (b) Show that the sequence…

A:

Q: A bacteria culture starts with 340 bacteria and grows at a rate proportional to its size. After 3…

A: a). P(t) = 340e0.36620t b). 707.22 bacteria c). 4.07 hoursExplanation:- The population growth is…

Q: A company selling widgets has found that the number of items sold, x, depends upon the price,p at…

A: A company selling widgets has found that the number of items sold, x, depends uponthe price, p at…

Q: (5.) Let u(x, y) = ln(x² + y²) (a. (c. State the domain of u: Determine lim f(x, y) (x,y) →(1,0)…

A:

Q: Determine the following limit lim (1+t) - 1/ t 1

A: The answers is as follows:limt→0​t(1+t)−21​​−t1​=−21​.Explanation:Steps and explanations are as…

Q: (4.) Let v(t) = (2+1, sin(3t), e¹) give the velocity at time t for a particle that is initially at…

A: