h (s, t) = t²ln(s²) + √√SA

Q: 2. Solve the following system of equations dx dt dy dt = = -4x - 2y 5x + 2y (a.) Find the…

A: According to bartleby guidelines,  we are supposed to do only 3 subparts . If you want more to be…

Q: Find the polar form for zw, z/w and 1/2 where: z = 2(1 + i), w = 3(1+√√3i)

A:

Q: 開 3 1. L-1

A:

Q: Find the gradient off and then evaluate the gradient at the point P. a. f(x, y) = x/y, P = (2, 1).…

A:

Q: f(x)=2x-1 9X+1

A:

Q: nd the average value of the function f(x)=48-12x² over the interval -5≤x ) 1) -152 2) -52 3) 148 4)…

A:

Q: 4 f(x)=x+acos x, where a is a positive constant and 0≤x≤ 2. Find the x-coordinates of all points,…

A: The function is given by fx = x+acos(x), a>0 and0≤x≤2π The equation of the line is y = x+a To…

Q: 18. 19. 20. dy dx dy = -5y, y = 7 when x = 0 = 4 sin 2x, y = 2 when x = π/2 dx dy = x² + 3 + e²x, y…

A:

Q: dz Calculate for z = 4x² + 3y², x = sin(t), y = cos(t) dt

A: Topic- derivative of a function we are given, z=4x2+3y2x=sin(t),y=cos(t)we know…

Q: 4

A: Concept: Given: Demand for the education: P=75-Q Supply for the education: P=2Q Due to decrease in…

Q: √X 'csc²yox - √x sinydy =o • Find the general solution of e

A:

Q: A ladder 15 ft long leans against a vertical wall. If the lower end is being moved away from the…

A:

Q: EXAMPLE 3 Suppose that a ball is dropped from the upper observation deck of a building, 350 m above…

A:

Q: 2x4 1+x² a) [: dx b) [ cos² cos² 2x dr

A:

Q: Find the solution of the differential equation y(t) = = 1 t sec y = 6 cos t { x + + + ² ( 1 ) x - *…

A: The given differential equation is  y'+1/5sec(t/5) y= 6cos(t/5) , y(0) = 1  where 0<t/5<

Q: In problems 19-28, represent each repeating decimal as a series using the sigma notation. 19.…

A:

Q: Find the solution of each of the following initial value problems. y(0) = 1 (a) y'-y = 2te²t, (b) y'…

A:

Q: Calculate the value of the derivative of the function:  y = cos (sin x) at the point x = 3π/2 to 2…

A:

Q: Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: Given, z=xy+y ln(xy)

Q: and- I need a clear answer by hand, not by keyboard | dybala Determine the general solution for the…

A:

Q: 0 A population of bacteria follows the continuous exponential growth model P(t) = Po e kt, where t…

A:

Q: Given f(x, y, z) = x²y³z − 3xy²z³ + 5x²z − y³z, find fxyz

A:

Q: N 2 -3 EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²-8x + 9 at the point (2,…

A:

Q: What is the general solution of the differential equation below when x > 0, y > 0.  dy/dx = -x2y2

A: A detailed solution is given below.

Q: 4) For f(x) = { sin(27x) x>1/2 4 2x-1 x = 1/2 find lim f(x) X- x < 1/2 2

A: To find the limit of the given function.

Q: Use the Intermediate value theorem to show that the given polynomial F(t)= 2t2 + 3 - 3t has a real…

A:

Q: Determine whether the improper integral converges and, if so, evaluate it.   ∞ 0 5x dx (3 + x2)2

A:

Q: dy xẩy + y = xy3 dx

A: We are asked to solve the differential equations

Q: Differentiate. y' = y = In (6x² − 5x + 1)

A:

Q: Find the derivative of each of the following. A) f(x)= 125 5x B) g(x)=x³5x g'(x) = C) h(x) = log 5 x…

A:

Q: f'(x) = || √4 + X 1 2√4+x (4+x) State the domain of the function. (Enter your answer using interval…

A: Given query is to find the domain of the function and is derivative.

Q: 2)Find an equation of the circle whose center lies in the second quadrant, that has radius 2, and…

A: We know that in second quadrant x-co ordinate is negative and Y- co-ordinate is positive. Required…

Q: Find f=V 3 √x + y 6 02 f дудх

A: The given function is: fx,y=x3+y6   As we know that; The Chain rule: fgx'=f'gx·g'x The Power law:…

Q: For the polynomial, one zero is given. Find all others. 4) P(x) = x3 - 7x2 + 15x - 25; 5

A: NOTE: Refresh your page if you can't see any equations. . the given root is x=5 so take the…

Q: A. Find the second derivative of y=- (x+1)³ B. 4x x+1 (x+1)³ C. 8 (x+1)² D. (x+1)²

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

A:

Q: x² - y² = 25, x ≥ 0, y = −5, y = 51

A:

Q: Consider f(x)=5x-3-41/x^2 Find the average rate of change of f(x) with respect to x over the…

A:

Q: Write the standard form of the equation of the circle with the given center and radius. Center…

A:

Q: If A is the matrix below compute A4. Be sure to use trigonometric identities to simplify so that the…

A:

Q: EXAMPLES Find an equation of the tangent line to the parabola y--&x+9 at the point (2.-3). SOLUTION…

A: Find equation of tangent line

Q: (a) y - y = 2te²t, y(0) = 1

A: As per our company guidelines, we are supposed to answer only the first question. Kindly repost…

Q: Determine the solution of the 1st Ordered Differential Equa 3(x² + y²)dx + x(x² + 3y² + 6y)dy = when…

A:

Q: if x ≤ 2 Let f(x) = = if x > 2 If f(x) is a function which is continuous everywhere, then we must…

A: Given function, f(x)=4x-5if x≤2-3x+bif x&gt;2 Here function is continuous everywhere ,

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(4, 2, 4),…

A:

Q: Differentiate the following function. f(x) = x5 e5x f'(x) =

A:

Q: U Substitution (a) State the Substitution Rule. Explain its connection to the Chain Rul- (b)…

A: Topic = Integration

Q: For y = f(x)=x²-7x³ +5, find dy and Ay, given x = 1 and Ax= -0.1. dy = (Type an integer or a…

A:

Q: Evaluate the area below X-axis and above the curve y = 24x2-45x. Round your answer to 3 decimal…

A: Given curve, y=24x2-45x

Q: What is the solution of 3x² + 6xy2 + (6x²y + 4y²) y = 0 ? O 3x³ + 9x²y² + 4y³ = C O 3x² + 12x²y² +…

A: