/ Choose the appropriate value, Rf, Df for the following function: f(x) = 2 + Vx2 Df = {x:xeR:x 1} Rf = {y:y E R: y > 0} 0 الخيار رقم 1 D, = {x:xeR:xs-1} Rf = {y:y € R: y > 0}

Q: ive of f(x, y, z) 1) in the dired

A:

Q: 3. Find , 9 for the functions: ax' ây sin(x³ + y* ) x* +y , (x,y) = (0,0) f (x.y) = .(x.y) = (0,0)

A: f(x,y)=sinx3+y3x2+y2, x,y≠(0,0)0, (x,y)=(0,0)

Q: Verify Rolle's theorem for f(x) = x* – 4x+8 over the interval [0, 2].

A:

Q: Differentiate the function with res f(x) = (x* - 3x) 3 f'(x) =U

A:

Q: Illustrate local linearity for the function f (x) = xsinx at x = l.

A:

Q: Fundamental Theorem of Calculus.

A: ∫abfx dx

Q: Use the Product Rule to differentiate f(s)=Vs (3- s°). |

A:

Q: (4-х, XS0 10) Determine if the function y(X) = 3x, is differentiable at x =0. x>0

A:

Q: : Express the function f (x) = e") to the form u(x,y) + iv(x,y).

A:

Q: B)Is w = Ze² analytical function or not?

A:

Q: of of For the function f(x,y)% 9x2- 3y°-4, find and dx dy of II

A: While calculating the partial differentiation of a function with respect to X we consider the other…

Q: Find linearization L(x) of f (x) = Vx at a =4 and use to approximate 7.8.

A:

Q: Find f-(-1,1) of the function: f(x, y) = x + xy +2a°y?

A: Let's find.

Q: Find the domain and range of the function f(x, y) = exy

A: Given information: The function fx,y=exy

Q: Use two segment trapezoidal rule to integrate the following function rically: f(x) = 0.1- 1.5x+…

A:

Q: Use the Linear Approximation to estimate Af = f(4.8) – f(5) for f(x) = x – 5x². (Use decimal…

A: Given data:   The given expression for the function is f(x)=x-5x2. The given value a=5.   The…

Q: The pressure of a fluid flowing through a closed​ system, P, after t seconds can be modeled by the…

A: Here we are going to solve only 2 subparts and for the remaining subpart please post the question…

Q: Let f(x, y) = (- (3z + y))°. Then

A:

Q: The function f(x,y)=/26-2x²-y² is continuous at point (2,-3). .A False .B True

A: A function is continuous at a point if after putting the point in the function yields a positive…

Q: Find the higher-order deriv f"(x) =6Vx – 4 f(5)(x) =

A:

Q: Find the linearization of f(x, y) = −x² + 2y² at the point (3,-1). Use the linearization to estimate…

A:

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A:

Q: Determine the extreme values of the function (exact coordinate(s) f(x) = 2sinx – x on the interval x…

A:

Q: when that this 1x² + y² Shothathis sho (x, y) (0,0) and f(0,0) function is continous at (0,0)

A:

Q: Differentiate the function. h(x) = In(x + V - 12

A:

Q: Find the domain of the function f(x,y)=V13032-x + y-> {(x,y) E R2 | y# x2 and ys 13032}. O {(x,y) E…

A: Given, fx, y=13032-x+1y-x2

Q: Locate and classify all the critical points of the function. (If an answer does not exist, enter…

A:

Q: Differentiate. f(x) = X + r SX +t

A: Given: fx=qx+rsx+t As we know that, The quotient rule: fg'=f'·g-f·g'g2 The Power law: ddxxn=nxn-1

Q: Differentiate the function   f(x) =    x / ex

A: Derivative of the function fx=xex

Q: Suppose that f(x, y) = yVx³ + 1 on the domain D = {(x, y) | 0 < y <x < 3]

A:

Q: Use FunCtion 9(x) = - f (X)tZ gra ph Of Y = fLX) to g raph Y=F(x) 2十 -4

A:

Q: Suppose that f: R² R is a function given by y³ x² + y² f(x, y) = 0 for x = y = 0. Show that f(x, y)…

A:

Q: find the value of c that make the function continuous

A:

Q: Can a function have more than one antiderivative? If so, how are the antiderivatives related?…

A: Can a function have more than one antiderivative? If so, how arethe antiderivatives related?…

Q: F(x) = Vt² + 11 dt

A: F(x)=∫5xt2+11 dt

Q: 4- х, хS0 10) Determine if the function y(x) =- 3x, is differentiable at x = 0. X>0

A:

Q: · y = Vx - x, (1, 0)

A:

Q: Find the value of k that makes function continuous at I = 4 2x + 8 x > 4 f(x) = 4x k r< 4

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

Q: Determine where the function f(x) is continuous. f(x) = Vx- 8 The function is continuous on the…

A: fx=x-8 The domain of given function is the set of all values of x for which x-8≥0⇒x≥8⇒x∈[8, ∞) Let c…

Q: Is the function F(x) as given is constant, increasing, or decreasing on the interval (0, ∞)?…

A: Fx=∫x2x1t dt⇒Fx=lntx2x⇒Fx=ln2x-lnx⇒Fx=ln2xx          ∵lnx-lny=lnxy⇒Fx=ln2

Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative

Q: 1. Y = 2 – 7.x fa) — 4 — 5х — 21? 2. 3. Y = 2x³ – 3.x

A:

Q: Integrate f(x) = 10 ( 1 – x)9 where 1 ≤ x ≤ 3, Using Boole’s rule

A: The function f(x)=101-x9 where 1≤x≤3. We have to integrate this integral using the Boole's Rule.

Q: Describe the x-values at which f is differentiable. Sx2 - 5, x 0 10 -1 0 1

A: Here, the given function is: f(x)=x2-5, x≤05-x2, x&gt;0 which is a piecewise function.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.