Examine carefully the definition of the following functions and classify each of ther determine the domain and range. 1. f(x)=5-x² 2. g(x) = v9-x² 3. h(x) = |x– 3| x² – 25 4. i(x) = r+5

Q: Evaluate f da V5-

A: we have to use substitution method to solve this integral. these are basic integral formulae which o...

Q: Gun barrel. Solve y" + y = 1 – 12/n2 if 0 s IST and 0 if t; here, y(0) = 0, y'(0) = 0. This models a...

A:

Q: The included angle of the two sides of fixed equal length x in an isosceles triangle is u 1 -x sin(u...

A: Here I am attaching image so that you understand each and every step.

Q: Sketch a graph of the polar equation and identify any symmetry. r=2cos(3θ)

A:

Q: Find the minimum and maximum of y = f(x) = x³ – x² – 3x + 2

A:

Q: 2x + 2 and üg =| -2x + 2 where a e R is an unknown. Find the value(s) of æ such that the area of thi...

A:

Q: Label any intercepts. (If an answer does not exist, enter DNE.) x-intercept: (x, y, z) = y-intercept...

A:

Q: Enclosing an Area Patricia wishes to have a rectangular garden in her backyard. She has 96 ft of fen...

A: To find the function and domain.

Q: ,2 px + qx + r ax +b find the derivatives

A:

Q: Let f (x) = cos(6x) + 7. Compute the following Taylor polynomials of f. For any approximations, you ...

A:

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 3x²y – 9xyz + 10yz² fx(...

A:

Q: At 8 P.M. an oil tanker traveling west in the ocean at 13 kilometers per hour passes the same spot a...

A: when time t=8 , the oil tanker is at origin (0,0)and every hour tanker goes -13 units on the x-axiss...

Q: 13.3 Find f and and evaluate each at the given point. 7xy fx, y) = (1, 1) ,(x, y) %3D %3D ,(1, 1) = ...

A:

Q: Solve: y''+ 2y' – 8y = – 32t + 56 y(0) = – 9, y'(0) = 28 y(t) =

A:

Q: tan’e+ cot´e+2 = sec'e cosec'e - cot'e+2 = sec²e cosec'e Prove the following identities.

A:

Q: Question 2. Find values of p and q such that the function y(x) = (px² +q)-' is a solution of the ini...

A:

Q: Solve the equation. List both the exact solution and its approximation rounded to two decimal places...

A:

Q: B. Determine if the differential equations are exact or not by performing test of exactness. Do not ...

A: here we have to check the exactness of the given differential equation.  

Q: Juanita wishes to have a rectangular garden in her backyard with an area of 64 ft2. Letting x denote...

A:

Q: f(x + h) – f(x) Find the difference quotient of f; that is, find h 0, for the following function. Be...

A:

Q: What I can do.. Solve the following problem involving inverse of a one-to-one function. 3. f(x)=x²-4...

A: Given that: 3. f(x)=x2-44. g(x)=2x-13x+4

Q: Determine the integrating factors in each of the following differential equations and solve for the ...

A: A detailed solution is given below.

Q: Classify the following differential equations as separable, homogeneous, parallel line, or exact. Ex...

A: (x2y2-xy3)dx+(x3y-x2y2)dy=xy(xy-y2)dx+xy(x2-xy)dy=0divide xy(xy-y2)dx+(x2-xy)dy=0(x2-xy)dy=(y2-xy)dx...

Q: (t?et – 4x²)dt + 8txdx = 0 %3D

A:

Q: Find f, and fy, and evaluate each at the given point. 4xy f(x, у) %3D (1, 1) 2x² + 7y²' fy(x, y) = f...

A: According to bartleby guidelines for subject expert when student ask more than one question the expe...

Q: Input answers in the form of a/b, if applicable. Given f(x) = x³ + 2x² + 1, then f'(x) = 3x² + 4x = ...

A:

Q: Prove the identity. cscʻx = csc 2x 2 cotx Note that each Statement must be based on a Rule chosen fr...

A:

Q: dz Use an appropriate form of the chain rule to find dt 1 z = 6 cos x – sin xy; x = y = 6t t' Enter ...

A:

Q: Find S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =

A: To find f'(-1) first we differentiate both sides of  the given equation with respect to x and then s...

Q: An n vestment firm estimates that the Value port folio af terA years s A m lhon do llars where ACH) ...

A:

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function subjec...

A: Given:- F(x, y) = xy g(x, y) = 4x2 + 8y2 -49=0 To find:-  Maximum and minimum value of f(x, y) by us...

Q: According to the ideal gas law, the pressure, temperature, and volume kT where k is a constant of y'...

A: Given, p=KTV Where K =10 a. Instantaneous rate of change of pressure with respect to temperature T=1...

Q: (D? — 1)у %3D 8хе*

A:

Q: Let T be the tetrahedron with vertices (3, 0, 0), (0, 5, 0), (0, 0, 4) and the origin. Write /| f(x,...

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 25xe...

A:

Q: Consider a cylinder with radius 18cm. and height 29 cm. av then find (where V is the volume of the c...

A:

Q: Find əw/as and aw/ət using the appropriate Chain Rule. Function Values w = y3 - 7x?y x = e°, y = et ...

A: We have to find the partial derivative. 

Q: For subspaces V & V-of R and V #R³, consider the set S=Vuv+. Is S=R°?

A: solution is given below

Q: 1 Evaluate the limit lim using L'Hôpital's rule. In x

A:

Q: 7. Find tan 0 + sin 0 for the angle shown. 3 tan 0 + sin 0

A:

Q: An increase the expected future price of a good O A. increases its demand B. decreases its demand C....

A: Q.4 An increase the expected future price of a good A. increases its demand  B. decreases its demand...

Q: Hi there, I can't figure out how to calculate (x,y) for this system of liner equations 2x − 5...

A:

Q: Find a particular solution to the ODE: y"+ y' – 2y = e* cos(2t) Yp(t) =

A: Given:  y''+y'-2y=e2t cos2t To Find:  To find the particular solution to the given ODE.ypt=?  

Q: |x² – 4| The value of lim Z-12 I using a table of functional values is_ 2 O 2 Does not Exit O -2 O 3

A:

Q: Test each of the following equations for exactness and solve the equation. The equations that are no...

A:

Q: The solution of the differential equation dy dx 2x+12 is 2y-9 O y? – x? = C - O y – 9y – x² – 12x = ...

A: Solve by variable separable form

Q: An aircraft is flying at 400 ft/s with an elevation of 120 ft from the ground, on a straight- line p...

A:

Q: Please help!!!!!! The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug ...

A:

Q: Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = y3 - 3x?y x = e°, y = e s...

A:

Q: Evaluate (sin z + cos x) da using by term by term integration 0. Answer:

A: