theory Prove it

Q: Proof: Let f and g be differentiable functions such that f" #0 and g" # 0. Show that if f and g are…

A: Use the condition for a graph of a function to be concave up.

Q: Integrating Of the form A- (a) 2(1+)

A: Here we have, I=∫x sin-1(x)dx ..................... (1) using integration by parts.

Q: . Reduction. Show that F(y, y,y) = reduced to a first-order ODE with y as the independent variable…

A: Chain Rule for a function of two variables: Let f(x, y) be the function of two variables, then…

Q: Fundamental Theorem of Calculus Explainwhy the Fundamental Theorem of Calculus cannot beused to…

A: To determine why fundamental theorem cant be used to integratef(x)=1x-c on any interval containing…

Q: Volume of the function g(x, y)=√64-x²-y² over the semicircle bounded by x² + y² ≤ 64, x≥0. 2-

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Q: Proof fourier transforms? ax e Caz0)

A:

Q: The demand function for specialty steel products is given, where p is in dollars and q is the number…

A: Given information :  p = 105 100-q3

Q: Volume of the function g(x, y)=√√64-x² - y² over the semicircle bounded by x² + y² ≤ 64, x ≥ 0.

A: here we can use polar coordinate by this integration will be very easy.

Q: Assignment O Show that H(X/Y)=H(X,Y)-H(Y) H(Y/X)=H(X,Y)-H(X) And 1(x; Ү) — Н(х) — Н(х\Ү) %3D Н(Ү) —…

A: Solution for first part: We have to show H(X/Y)=H(X,Y)-H(Y)                      (*) Since H(X/Y) is…

Q: * (). Partial Differentiation. If u = In(x² + y²) and z = sin-1 evaluate the following: a²u 1. əx2

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Q: ソ=3 It リ-0 %3D

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Q: Calculus I In the exercise f(x)= cos x + sin x; [0,2pi], find the following 1.) Search for…

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Q: Let α = x1 dx2 + x3 dx4, β = x1 x2 dx3 dx4 + x3 x4 dx1 dx2  and γ = x2 dx1 dx3 dx4 be forms on R4 .…

A: Given: 1-form, α=x1dx2+x3dx4. 2-form, β=x1x2dx3dx4+x3x4dx1dx2. 3-form, γ=x2dx1dx3dx4. To find: αβ…

Q: function √x² + y² + 1 x² + y² 2 f(x, y) = 1 if (x, y) = (0,0) 2 2 (x, y) = (0,0). If not, classify…

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Q: maximum revenue. R, then find the revenue.

A: For part (a) We have to find out the price for maximum revenue. The revenue function is given…

Q: Mining for crystals is a hobby for some, and even a profession for many. Both amateur and…

A: Given: Precious, semi-precious, and unverified respectively, 12%, 26%, and 23% of them are formed at…

Q: a continuity of the function esinx (x,y) # (₂) X (X,Y)= (0,0) Discussion Sexiy) at the Point (0,0),…

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Q: Proof Prove (Theorem 2.3) that d [x"] dx nx"-1 %3D for the case in which n is a rational number.…

A: To prove that, ddxxn=nxn-1, when n is a rational number.

Q: k xy' - y = x*y"

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Q: |C. Chain Rule £) f (x ) : (1-x

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Q: Calculus 11th Edition - Ron Larson Chapter 3.9 - Differentials Find the tangent line approximationT…

A: To determine the tangent line approximation.

Q: Partial Differentiation. If u = In(x² + y²) and z = sin-1| evaluate the following: 3. x++ az əz a²u…

A: We know, ddxlnx=1xddxsin-1x=11-x2

Q: NTEGRAL CALCULUS: WALLI'S FORMULA Show complete solution

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Q: What is shut down condition of a firm? Derive the shut down condition mathematically and show…

A: Solution

Q: Using Cauchy-Riemann equations, show that the function f (z) = (z+ 4)is differentiable everywhere.

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Q: Volume of the function g(x, y)=√64-x² - y² over the semicircle bounded by x² + y² ≤ 64, x≥ 0. 2- -2-…

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Q: Finding critical points Find the critical points of ƒ(x, y) = xy(x - 2)(y + 3).

A: Given equation is: f(x,y)=xy(x-2)(y+3) Calculate the critical points.

Q: Chain rule and Suppose that F(x, y, z) = 0 defines z as a function of r and y and F is…

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Q: Determain the area encloesed by the Curve り=2ら -x* , ancl ysX +!3

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Q: QI Find the inflection points of f (x) = 3x5 - 10x3 %3D O x--1, x-0, x=1 O x-3/2.-1/3, x= 0, x =…

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Q: Derivative Calculations In Exercises 1-12, find the first and second derivatives. 4. w = 3z7 – 7z3 +…

A: Derivatives first and second

Q: Volume of a solid Consider the region R bounded by the graph of f(x) and the x-axis on the interval…

A: Volume of solid: Let f(y) and g(y) are two curves then volume of the solid around y axis is,…

Q: Increasing: Decreasing: Local Max %3D

A: Given Graph

Q: Test the functions in Exercises 65–66 for local maxima and minima and saddle points. Find each…

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Q: 2. f(x) 3. f(x) = (56x – 3)(4x +5) = 56x - 32x + 16x - 10 4. f(x) = 2x-6 x+3

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

A: Given query is to find the value of the indicated function.

Q: Mass of a box A solid box D is bounded by the planes x = 0, x = 3,y = 0, y = 2, z = 0, and z = 1.…

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Q: reflection across the y-axis x(3,-2)-> x' y(2,4)-> y' z(5,-2)->

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Q: inearlization of x^5 at x=1

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = Vx+vy The domain of…

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Q: SatisBieg let furiy,t| =*+}, show that $ Sutis Bieg the Mean vulu Theonem ou and a=l11,b=l3131,then…

A: As per the guideline, I am only solving the first question. Kindly repost the other question…

Q: Differentiate y = (x² + 7x – 1)(5x + 2)

A: We have to differentiate y with respect to y

Q: (x³+4x) dx V1-x4

A: To evaluate  ∫x3+4x1-x4dx

Q: Proof following relation: V × (Va)=0

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Q: Can you show me an example (a problem) invented of chain rule

A: Let suppose we havef(x)=e2x+3We need to differentiate f(x) w.r.t x

Q: Material : Numerical Analysis

A: Given, Maximum absolute row sum of is Here,  The first row sum is 0.5 The second row sum is 0.75…

Q: Evaluale the Fouriek tyanform of the fllosing -f X(t) = %3D

A: x(t)=1     t<T20     t>T2Fourier transform X(ω)=∫-∞∞x(t)e-jωtdt…

Q: Volume of the function g(x, y)=√√64-x² - y² over the semicircle bounded by x² + y² ≤ 64, x≥0. 6 2-…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.