2 IF □ is defined by ▼ ах functions and A&B are differentiable Show that • (A+B) = √•A + V•B. = it 2 jt Ə ay 02 ·K then

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A:

Q: Solve the given differential equation by separation of variables. dy = e5x + 4y dx -4e5x 5 + C X

A:

Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

A: Given: B'(t)=0.621t2-1.213t+15.55

Q: Q4/A/Find for the following functions (+) dx 1. y = cot 2. y = sinxtanx

A:

Q: Problem 1. Find and plot the domains of below functions (a) f(x, y) = x²y, (b) f(x, y) = ln(xy-1).

A: To find and plot the domain of the given functions.

Q: Q4-Find the complex roots of (4 + 4i)ō * (4 + 4i) (Demoivere's formula)

A: given

Q: Find an equation for the tangent plane to the surface z + 1 = xy² cos(z) at the point (1, 1, 0)

A: Solve by eq

Q: A right triangle has a hypotenuse of length 11 units and includes a 40° angle. What are the lengths…

A:

Q: Prove using the definition of a limit. lim x→2^− (1/((x^2) − 4)= +∞)

A: Prove that   limx→2-1x2-4=∞

Q: 3. fsin (3x) cos(x + 1)dx

A:

Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

A: yes

Q: Dr. Zeyid T. 1 Y₁ =D²-²-2-[x²] Yp y, = [−1− D² + ···] · [2x +3] : y₁ = -x-2 P How

A:

Q: Solve the initial-value problem. 3 dy + 3t²y = 2 cos(t), y(¹) = 0 dt

A:

Q: Find an equation of the tangent line to y = 16e* sec(x) at x = 77. (Use symbolic notation and…

A: In this question, we want to find the equation of the tangent line to the given curve at given…

Q: dz 1) Find and simplify in terms of r and using chain rule if given that z=√√4-x²-y², dr x=r cosh…

A:

Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $110 per barrel. If…

A:

Q: O cos y (cos x + 1)

A:

Q: 2x dA over the region R Find ₁² of a solid {(x, y) |0 ≤ x ≤ 3,0 ≤ y ≤ 5} by identifying it as the…

A: Solve

Q: A parabola is formed when a plane slices through a cone. Which of the following describes the…

A: Solved below.

Q: der the following. x = t - 2 sin(t), y = 1 - 2 cos(t), 0≤t≤ 7″ an integral expression that…

A: We are asked to find the length of the curve

Q: 04: Find dy/dx for the following function: (1) y=sinh-1(tanx)

A: Given problem:- y=sinh-1(tanx)  Find dy/dx

Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

A:

Q: How do you find the absolute maxima and minima for a function of two variables?

A: So In this we have to follow the basics to calculate extreme values , I'm providing you the…

Q: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

A:

Q: convergence : 00 Σ+1*. n=1 1 n 10n (x - 2)"

A: We will use  Ratio-Test to find the solution

Q: Consider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: Consider the vector between (-2,-5, -3) and (5, 10,7).

Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x² cos y) dy = 0

A: The given differential equation is;  (x+3x3siny) dx+(x4cosy) dy=0. Repost the next questions.

Q: dy dx Assume x and y are functions of t. Evaluate for 3xy-3x+ 5y³ = -195, with the conditions dt dt…

A:

Q: 3. Find the Laplace transform F(s)=[f(t)](s) where f(t)=- ›-4 4 for 0 < t <2 for t≥ 2.

A:

Q: Q2-Solve the differential equation dy = y - xcos² (2 dx x

A:

Q: d²y Find dx² x = ² + 2, y = ² + 7t dy dx d²y dx² For which values of t is the curve concave upward?…

A: We have to solve given Questions.

Q: Find the slope of the line tangent to the graph of f(x) = 4 - xatx = 2. Provide your answer below: m…

A:

Q: Record your explanation of the solutions to the following. 1. Sketch a function with the following…

A: We can solve as follows

Q: c. Find the value of dx/dz&dx/dy y lnx-x² + 4 = 0 at the point (1,-1,-3) if the equation xz +

A: To find out dx/dz and dx/dy at the given point.

Q: Onsider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: We have to find out length of vector As per guidelines we have to solve one question please repost…

Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

A:

Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

A:

Q: Two weather stations are aware of a thunderstorm located at point C. The weather stations A and B…

A:

Q: 05: Solve the following system of equations by Gramer's Rule. 2x - 4y 0 x+y+z=1

A: Use Cramer rule to solve the system

Q: Calculate the derivative. g" (0), g(s) = es S+9 (Give an exact answer. Use symbolic notation and…

A:

Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

A:

Q: 9 csc(x) dx csc (x) - cot(x) ||

A:

Q: C) If f(k)= k√a² - k² + a² sin-¹ df prove that -¹ (1) 2√a²k²,a is constant. dk

A: Use derivative concept

Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

A:

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A:

Q: (6) Solve the following differential equations of 1 -(- ´, ny)dr = 0 y j 21 ...... (y-xy) dx + xdy =…

A:

Q: What is the sum of the series 00 10 21 21 11 -7)

A:

Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

A:

Q: 1.- 2. Zeros are 2 and - 3 X -2 -1 3. y 10 5 2 0 1 A. f(x) = x² + 1 B. f(x) = x²+2x-3 C. f(x) = 2x²…

A: