f(u) = u + 1 h(u) : Vu + 1 p(u) = 1 - 4u2 q(u) = (1 – 4u2)9 g(u) = Vu + 1(1 – 4u2)9

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: Jxzy³ = 5 %3D

A:

Q: Find two nontrivial functions f(x) and g(x) so f(g(x))=(−4+4x)^4 outside function f(x) = ? inside…

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Q: Find the inflection point(s) of the function f(x) = 3e-X. 1 1.8196 (х, у) x ) (smaller x-value) %3D…

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Q: Express the function in the form f°g. H(x)= / 4 + /x %3D

A:

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: ] B1(a): Find the value of k that makes function continuous at x = 4 | 3x + 6 5х — k f(x) = x > 4 x…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: III. Verify if the function is continous at the point. 1. f(x) = x³ – 3x² + 2x – 5 at x = 0 %3D %3D…

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Q: Differentiate the function. h(x) = 11 csch-1 (x³) Give your answer in exact form. h'(x) = %3D

A: In this question we have to differentiate the given the function.

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x. ( x2…

A: It is given that y is implicitly a function of x. =x2+y23/2 differentiate with respect to x

Q: Find all functions of the form g(x) = mx + b that commute with the function f (x) = 2x. Can you…

A: Find all functions of the form g(x)=mx+b that commute with the function f(x)=2xwe need to explain in…

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x.…

A:

Q: /Discuss the behavior of the following function as x 0: o,

A: Here, the given function is: f(x)=0,x≥0sin1x,x>0

Q: 3 Consider the function f(x) = 2 + 1+ (x + 1)2

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Q: Find the value of a that makes the following function differentiablefor all x-values

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Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

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Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2)

A: Given: fx=-x1-x2

Q: (x)= 3sin(2x +1) iii. In x y= - iv. 2

A:

Q: What type of discontinuity does the function f(x)=xsecx have?

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Q: A function f(x) is given as follows: 2x +1 f(x) = 3x - 1 f-(1) =?

A:

Q: 3 Consider the function f(x)= 2+ 1+ (x+1)2

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Describe the shift of the function f(x) = Vx – 1 – 4 from the parent function f(x)=vx .

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Q: Find a formula for a function that f(x) =

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Q: Apply the definition to differentiate the following functions: 1- y = ₁

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Q: Differentiate the following functions: 1. f(x) = ecosx

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Q: Consider the following function: f(x) = ) = +" – 2v – 7 Step 3 of 4: Determine where the function is…

A: Given: Notice that f''(x)=6x2. Graph:

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: i Verify the domains and associated ranges of the following functions: a) y = v2 -x b) y = v2- x c)…

A: To find the domains and associated ranges of the given functions.

Q: Find the domain of the following function 1 f (x) = 2+ %3D

A: To Determine :-  The domain of the function : f  x  = 12 + x

Q: Differentiate the following functions using Four-step Rule 1. f (x) = 4x – 5

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Calculate the extremum point of below function and Classify it f(x) = 4 x³ + 2 v11 – x + x?

A: It is given that fx=4x3+211-x+x2. We have to find the local maximum and local minimum points of the…

Q: show the function is continous dis continou or 2=(2x+3 3メ→1」Xハz F(x)ニ

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: III. Verify if the function is continous at the point. 1. f(x) = x³ – 2x² + x – 5 at x = 0

A: f(x) is continuous at x=0 if- limx→0-f(x)=limx→0+f(x)=f(0)

Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: Evaluate the piecewise function at the given values of the independent variable. 5x +3 if x<0 f(x) =…

A: We to evaluate the value of function at some points like -3,0 and 4

Q: Find the domain of the function in interval notation: f(x) = V + 17 %3D

A: Domain is the set of x values for which the function is defined We know that square root (negative…

Q: Describe the shift of the function f(x) = Vx – 1 – 4 from the parent function f(x)=Vx.

A: Given parent function is parabola opening rightward having vertex at (0,0 ) and have only upper half…

Q: Let f(x) x2 + 10x – 7 if x 2 If f(x) is a function which is continuou m = Add Work

A:

Q: J 3(x)is even function

A: Bessel Function The property of Bessel function says that- (1) Jnx is an even function when n is…

Q: Find the first if the following function f(X) from the first principle xsinx

A: First principle of derivative.

Q: Determine analytically if the following functions are even, odd or neither.         f(x) = 3x2 – 4…

A: . To do this, you take the function and plug –x in for x, and then simplify. If you end up with the…

Q: B1(a): Find the value of k that makes function continuous at x = 4 4x + 6 x > 4 f(x) = 6x – k x < 4…

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Q: Evaluate the piecewise function at the givern values of the independent variable 5x+3 if x<0 f(X) =…

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Q: Differentiate the following functions with respect to x using first principle rule. i. f(x) = x²

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: find the derviative of the function in the picture  show all work

A: Here, we use the chain rule of derivative that derivative of (f(x))^n is n[f(x))^(n-1)]f'(x) and…

Q: Differentiate the Following Function f(x) = x^2e^x

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Q: n x(0)=0

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Q: 3 Show that the function f(x) = Vx – 5 is one to one function.

A: The given function is: fx=x-53

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.