Let h(x)=x+2 and g(x) =Vx-5. Find (h-g)(-5). Select the correct choice below and fill in any answer boxes within your choice. O A. (h-g)(-5) = | (Simplify your answer. Type an integer or a fraction.) O B. The function value does not exist.

Q: Evaluate the function h(x) = x3 - x + 1 at the given values of the independent variable a. h(3) b.…

A: a). Put x = 3 in h(x), we get b). put x = -2 in h(x), we get

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: 2. Determine whether the function is one-to-one. (a) y = 4x² + 3 (b) y = Vx +3 – 5

A: The function can be tested using the horizontal line test wherein a horizontal is drawn cutting y…

Q: ind the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given, the function g(x) = 3x3 – 9x, we have to check whether the function is concave upward or…

Q: The domain of the function 3t +1 g(t) 3t + 1 g(t) = t – 10 t- m is -. O R-{10} O R-{-10} O R-{12} O…

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Concavity.

Q: -4x For the function f(x) = e¯X+4e*, then f(x) = %3D

A:

Q: Evaluate the function: Se +) dz 2x e5x 3

A: Let I=∫ e5xe2x7+3e3xdx

Q: Find for Domain and Range of the function f (x,y) = /49 – x2 – y²

A:

Q: Find a and b so that the function 1 5x3 — 6х? + 3, х -2 f(x) = ах + b, is both continuous and…

A:

Q: For the function g(x) = x² the value of g(2 + h) is: 04+h? 04+4h + h² O2+h?

A: Given Data: Function: g(x)=x2 ......(1) The value g(2+h) can be obtained by substituting the…

Q: Evaluate the function at the given values of the independent variable and simplify : h(x) = x4 - x2…

A: Given function is

Q: 7) Determine when the function f(x) = 6x - 35x +56x - 20 is positive and when it's negative.

A: The given function is: f(x)=6x3-35x2+56x-20

Q: 4. Find the difference quotient, AatA-where h = 0. of the function f(x) = 2x +1. A. 2 B. 2+ C. O…

A: We have to find the difference quotient.

Q: 17. Find the difference quotient for the function f(x)%=(x²+1) °, then simplify.

A: Given function is:

Q: Q6:- Find the extreme value of the function f(x, y) = 3x2 - 2xy + y2 - 8y.

A: First, let us find the partial derivatives of the given function as shown below:…

Q: For the functionfCX)=x=-C6, find F(x)

A: Here given as fx=x5-6

Q: What value of x makes the discontinuity of the function x2 – 4 f(x) = removable? x2 – x- 6 A -2 В) з…

A:

Q: Q3: Find for the following functions: - dx c- csc-/3 5x C- csC ---------

A: Please see the answer in Step 2

Q: The United States wine consumption can be modeled by the function f(x)=0.004x^2-0.094x+2.607 where x…

A: The function is fx=0.004x2-0.094x+2.607.   Substitute 25 for x in the above function.…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Topic : concave upward and downward

Q: For the piecewise function, find the values h(-8), h(-2), h(2), and h(6). -3x-16, forx< -7 h(x) = 2,…

A: Given that, There is a piecewise function, h(x)=-3x-16,for x&lt;-72,for -7≤x&lt;2x+8,for x≥2 We have…

Q: DETERMINE q(-4) GIVEN THE FUNCTION X +3 X²+7x+12

A: Please see the below picture for detailed solution.

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: find the function h such that h"(x)=36t2 + 24t - 4, h'(1)=-1and (-1)=1

A: Integrate the function                                                                    Find the…

Q: Find the range of the function f(x) = x2-1 O [-2,21 R\[-1] R\{0}

A: Range of function

Q: Find the interval in which the function given by y = 4x3 - 6x2 – 72x + 30 is decreasing. O A. (-…

A: Given that the function is      y = f(x) = 4x3-6x2-72x+30 Here we have to find the interval in which…

Q: State the end behavior of the function f(x) = -9x + 5x – 7x³ + 3x? – 6x As x - o, f(x) → Preview As…

A:

Q: The hotel room tax in festivity city is calculated using the function t(x)=0.06t+4.5, where x is the…

A: Given t(x) = 0.06 x +4.5 where x is the cost in dollars and t(x) is the tax in dollars

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given function is

Q: Differentiate the function. f(t)  =2- 2/3t

A:

Q: The functionh is defined as follows. x²-4x-32 h (x) = 2-4 Find h (-3). Simplify your answer as much…

A: Answer is -2.2 Explanation is given below

Q: Determine whether or not the function is homogenous. x5 f(x,y) = 72=2y² If it is homogenous state…

A: Given that: f(x, y)=x5x2-2y2

Q: For the function f(x) what is f(a – h)? 2 -x' a2 – 2ah + h² А. a? + 2ah – h² 2—а — h 2 - a +h a? +…

A:

Q: The domain of the function 5t + 3 -is_ t2 + 49 g(t) O None of these O R O R- {49} O R-{-49}

A: We will find the domain as following.

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: - Consider the function f(x) = x* – 182 + 8, - 2 <7.

A: In this question we find the absolute maximum and minimum for the given value of function.

Q: For the piecewise function, find the values h(-8), h(-2), h(2), and h(6). -3x-16, forx< -7 h(x) = 2,…

A:

Q: For the function f(x) = 3Vx + 2, find f-'(x). Of (x) = ()° –- 2 O f (x) = "2 a-2 3 O f(x) = - 2 3 Of…

A: We have to find

Q: Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]U[5,00) O Domain is (-00,…

A:

Q: Find the domain of the function.

A: Given, h(x)=4-x+x2-1

Q: Q1:- Find the domain of the following functions: b) f(x) = /2 - |x|

A:

Q: Given the function f (x) = 10 + 5x³ – 3x³, identify the interval(s) where the function is concave…

A: Given:      f(x) = 10 + 5x3 - 3x5

Q: To conclude, state the result when the function f(x) = x³(x + 5) is differentiated. = (x),J

A: Given Function f(x)=x3(x+5) Formula ddx(u.v)=u.v'+v.u'ddxxn=n.xn-1

Q: Suppose y=3t+5 and x=21t2. Write a function f that determines y in terms of x.

A: Here in the given function y in terms of t is y = 3 t + 5 and x in the term of t  is x = 21 t2.…

Q: For the piecewise function, find the values h(-8), h(-2), h(2), and h(6). -3x-16, for x< -7 h(x) = <…

A: The given piecewise continuous function is: h(x)=-3x-16,   for x&lt;-72,                 for…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.