Answer all the following questions 1. Find the doma in of f(x) = x-4

Q: Match the graphs A, B, and C shown with the functions ƒ(x), ƒ'(x), and integral

A: Given : The graphs of f(x) , f '(x) and Anti derivative of f(x)

Q: By using the demition, Calculate the dervedves of the functions |- }cx) = 4 - x* ; F'(-3) ,f'c1) 2.…

A: Differentiation is the rate of change in the value of dependent variable with respect to the change…

Q: of of and Find for the following function. f(x.y) = e xy In (2y) of dy

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Q: 2. Let f(x, y) = In(x² + y²). Show that fre + fyy = 0. %3D

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Q: For the function f(x,y,z) = In (5x + 7y + 1Oz), find f,, f, and f,.

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Q: Q2: Expand f(x,y) = [sin (x y³)]² about (5, 1).

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Q: given that z is a function of x and y which satisfies xyz+exyz=2, find ∂z/∂y using implicit…

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Q: +[ƒ Given that 5 ≤ f(x) ≤ 6 for -4 ≤ x ≤7, use property 8 of Section 5.2 of the Stewart Essential…

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Q: For what value of b is

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Q: let x has the p.d.f (11e-11x 0 < x< ∞ 0. W f(x) = Find m.g.f and prove that E(x) = M,(0)? %3D

A: We want to find the Mx(t) and E(x)

Q: Find the d. c. of from definition. Vx

A: As per the question we have to find the derivative of the function : f(x) = 1/√x Using the limit…

Q: The following function satisfy Cauchy_Rimmen Equation f(z)=(2x-2y)+2ixy^2

A: Using Cauchy Riemann Equation.

Q: Verify the final value theorem of f(t) =1+et[sint + cost]. O- 1 1

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Q: to verify thiIS 1 For which values of a ER is the function ax? f(x + iy) = (ax- ary) + i + ay 2 an…

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Q: For what value of a is

A: Given           f(x)=x2-1    ,  x&lt;32ax       ,   x≥3

Q: Use the above to find a quadrature formula of the form f(x)dæ f (x)dx= i=0 that is exact for all…

A: Quadrature formula ∫01x1-x2fxdx=∑i=0naifxi Exact for all fx of degree three. fx=x0,x,x2,x3

Q: Find the following for z = f(x, y) = x? +5x2y3-y. az %3D ax

A: FOLLOW NEXT STEP

Q: Show that the function given by f(x,y)= x² + 3xy is differentiable at every poin using the…

A: Introduction: Distinctiveness (differentiability) implies continuity. If a function is…

Q: Find the linear approximation of f(x) = In r at a = 1 and use it to estimate In(1.14). L(2) = %3D…

A: Please refer the attached image for complete solution.

Q: F(z- xy, x + y')=0

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Q: 5. Given F(x) = cos (t) dt, determine F'(x). 2

A: Using leibniz rule  Explanation is given below....

Q: the function f (2) = z Cos z ̟has a zero of order

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Q: 1. Find grad f for the given function below. Ax, y, z) = 5xy + 3yz – 4zx

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Q: Given that F(x) = a) F'(x) bl 5'(4) 2 1 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find

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Q: Show that the subtangent of f (x) = ex is everywhere equal to 1.

A: Formula to find the subtangent of the function helps to find the required subtangent. Derivative of…

Q: The harmonic function for f(z) = u(x,y) + iv(x,y) to be analytic are:

A: Given that: f=u+iv

Q: Consider f(x, y) = xy²e". Compute the following: (a) (b)

A: To find the derivative of f(x,y) with respect to x and y

Q: Q10. Expand f (x, y) = e" cosx about up to third degree terms by using Taylor's theorem for a…

A: The given problem is to find the third degree taylor polynomial of given function f(x,y) about point…

Q: *********** - Integrate the following functions Ver f(x,y) = (x-1) =x the given reg y=x² Vegion

A: Evaluation of double integral of function bounded by xy-plane

Q: The range of the finction f(x, y) = In(-x² -+1) is %3D None of these O (00:0] O [0; +0) O [0;1]

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Q: Answer the following questions a- Show that fxy = fyx for the function f(x, y) = ().In(x) aw

A: We need to show fxy=fyx. As per Bartleby's guidelines we can solve one question from multiple…

Q: التاريخ الموضوع Find The approximate value of f(x) at X=1-2 whereof is defined over The period 1.7]…

A: The given table is To find: f(1.2)

Q: Consider the function F whose criterion is = / dt. 1+ t2 F(x) sena When determining dF/dx the result…

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Q: f(x) = Vx -In x %3D f(x) = 3* arccos Vx² + x

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Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

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Q: If f"(c) = 0, then f(x) cannot have a local extremum at x = c.

A: We know, if f"(c) is negative then f(x) have local maximum at x=c and if f"(c) is positive then f(x)…

Q: Show that f(x) := x/3, x e R, is not differentiable at x 0.

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Q: Obtain the function x to minimize the following functional. x(0) = 2, x(t,) = 5 – 4t

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Q: (2) Is the function f(x) : R → R, sin a 1 ifa # πh,k & Z, ifa = Tk, k ε Z f (x) Borel measurable?

A: Consider the given function, fx=1sinxifx≠πk,k∈Z1ifx=πk,k∈Z   Thus, the given function have infinite…

Q: (3) If | f(x) dx exists and c is a real constant, prove that f(2) dz = / f(x + c) dz. | {(x+c) Vel

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Prove that fxy fy x for the following: %3D f = e + x Lny + y Lnx f = xy 2 3 + xy4 f = Ln ( 2x + 34)

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Q: of Find of and for the following function. ду 1(x,y) = (2x – 9y)5 %3D of 1 дх of 1 dy

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Q: 2. Determine whether the following functions are linearly dependent or not by applying the…

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Q: Suppose w is a function of x, y, and z, which are each functions of t. Explain how to find dw/dt.

A: Given data:"w" is a function of (x,y,z). Therefore, w(x,y,z). And the function x, y and z are the…

Q: If f is a quadratic function such that f(0) = 9 and f(x) x2(x + 1)3 dx is a ratianal.functian,,find…

A: This question is about finding f'(x)  at x=0  where f(x) is a rational function

Q: 1 V1 – x z 1 – at x = 0 x, 2

A: Since you are asking part (c). We are answering only the (c) part for you.…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.