Solve the following system of equations by elimination. 4x = 2y + 10 2x - y = 5 O (0, -5) ооо 85°F Partly sunny The system is Dependent (3, 1) O (2,1) K O Search

Q: Find the equilibria of the differential equation Identify all the equilibria. y = dy dt y+1 y² + 2…

A: here we have to find the equilibria of the differential equation.

Q: Evaluate the double integral by first identifying it as the volume of a solid. JJ (16-8y)dA, R = [0,…

A:

Q: Packaging Cost A closed box with a square base is to have a volume of 16,000 cm³. The material for…

A:

Q: If p is a polynomial, show that lim p(x) = p(a). x→a Since p(x) is a polynomial, p(x) = a + a₁ lim…

A: If  is a polynomial, we have to show that .

Q: Question 2: Let I = fysin(xy) dydx. By reversing the order of integration of I, we get: a. I =…

A:

Q: Use the graph to evaluate the expressions in (a) - (f). (a) Evaluate (fog)(1). (fog)(1) = 6- Ау 4-…

A: The graph of the functions isTo determine: The value of .

Q: Use algebraic techniques to rewrite g(x) = -7x4-4x5 x² as a sum or difference; then find g'(x).

A:

Q: 51. f(x) = sin(x¹) 52. f(x) = 10*

A: To find the Maclaurin series expansion for the function ∫ (x) = Sin (x^4), we can use the well-known…

Q: Let f(x, y, z)=xyz+x+y be a potential function for the conservative vector field…

A:

Q: lim (x,y)-(1,1) A) 1 x-√√xy 2x²-xy-y² B) 0 C) DE E) N

A:

Q: Find the arc length of the curve x = 5y³/2 from y = 0 to y = = 4. Length= =

A:

Q: address these conditions in your explanation. Enter an exact numeric answer. 7 sin(x) lim x+0+…

A:

Q: 4. Write two equations, one in the form ya sin kx and one in the form ya cos [k(x - d)], to match…

A:

Q: A.) y" - 4y = 4x - 3ex

A:

Q: how did the upper integral became -3?

A:

Q: Determine which of the following vector fields F in the plane is the gradient of a scalar function…

A: a) F(x,y) = 9xi + 9yjF(x,y) = P(x,y)i +Q(x,y)jwhereP(x,y) = 9xQ(x,y) = 9y

Q: Use numerical methods or a calculator to approximate the following integral as closely as possible.…

A:

Q: 9. The following two sets of parametric functions both represent the same ellipse. Explain the…

A: The two sets of parametric functions represents ellipses with different eccentricities.The first set…

Q: Find the solution of the given initial value problem. cos t t5 9 y(π) = 0, 5 + 7/3 y' + t> 0

A: It is the linear differential equation

Q: Book Problem 13 Find the length L of the arc formed by y = ln (secx), 0≤ x ≤ π/3. L = f/³√√1+…

A:

Q: Let f and g be the functions in the table below. g(x) 2 3 1 X 1 2 3 f(x) 3 1 2 (a) If F(x) =…

A:

Q: A solution to the following set of linear equations in two variables is the ordered pair: x+y=5 -2x…

A:

Q: y=f(x) 4 (-1,1)2- 4 Ау -2 (0,0)-2- (2,1) 2 X (3,-2)

A:

Q: The statement u = w translates into which of the logarithmic forms below: O u = log w Ow=log,u…

A:

Q: Directions: Be able to draw/illustrate the given problems and show pertinent solutions.  1. Ellipse…

A: Problem: A ship is navigating along a route defined by an elliptical path. The ship's current…

Q: A glass has circular cross sections that taper (linearly) from a radius of 5 cm at the top of the…

A: Given that ,

Q: The cost function for a certain commodity is C(q) = 85 +0.12q-0.005q² +0.0007q³. (a) Find C'(100).…

A:

Q: Match the graph of each function in A through D with the graph of its derivative 1 through 4 below.…

A: Graph A is a cubic curve.Graph B is a modulus function curve.Graph C is a function curve.Graph D is…

Q: Consider the following limit. 2- X lim X-2 √x + 2 - 2 Simplify the rational expression as much as…

A:

Q: Find the area of the surface. the part of the cylinder x2 + z2 = 16 that lies above the square with…

A:

Q: (b) What is the value of dy dt 211 Number dy at the moment in question? Give its value with two…

A: A projector, laying on the ground, illuminates the wall of a building standing 5 m away. A person 2…

Q: Sketch the graph of the basic function having the indicated restricted domain. f(x)=x² for x < 2…

A: Given :y=x2

Q: The Gaussian function is generally given by f(x) = ae -(x-μ)²

A:

Q: (d) (i) Show that e²j+z = e²

A: here we have to solve we can write it as                       hence proved

Q: Book Problem 9 Consider the curve defined by y = 4 + 18a from 2 to x = 3. Simplify and integrate to…

A:

Q: 4. Given the vector-valued function for curve C as r(t) = (31², 8e¹, 2t), answer the following. (a)…

A:

Q: Could you please do part d, e, and f.

A:

Q: Consider the following. y ₁+1 A, D = {(x, y) 10 ≤ x ≤ 2,0 sys √x} x² Rewrite the above as an…

A:

Q: Book Problem 42 The base of a certain solid is the area bounded above by the graph of y = 36 and…

A:

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter.…

A:

Q: Find a vector v in space that has the magnitude ||v|| cos(a) > 0, cos(p) = 1, COS(7) = 11100 V8 =…

A:

Q: il Recovery   The table gives the approximate economic value associated with various levels of oil…

A: Oil Recovery   The table gives the approximate economic value associated with various levels of oil…

Q: ? X What effect does the -3 have in the graph of f(x) = 2x - 3? O O Horizontal Shift 3 units to the…

A:

Q: Could you please do part d and e.

A:

Q: Find the arc length of the curve x = Length: = → 5y³/² from y = 0 to y = 4.

A:

Q: / (2 15 – Grin (x) ) ale = (213 6 dx

A:

Q: Consider the following function on the set D. Find the following derivatives. fx(x, y) = fy(x, y) =…

A:

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

A:

Q: 1. Find the limit. Show your steps. x²-x-6 x-3x²7x + 12 (a) lim (b) lim h-0 (4 + h)² - 16 h

A:

Q: Find a linear equation whose graph is the straight line with the given properties. through (2, 5)…

A: