(1) Define the function f : R→ R by f(x) at a = 1. 2 - x {2- x2 x<1 x ≥1\ • Show that f is continuous

Q: Identify the removable discontinuity. x2 – 16 f(x) : X – 4 (x, y) =

A:

Q: Let f : R R:f(x) = 10x + 7. Find the function g : R→R such that gof = fog = IR. %3D %3D

A: Given f: R -&gt; R  such that f(x) = 10x + 7 and  g : R -&gt; R such that g o f = f o g = IR

Q: Let f(x) = cx3.8 and suppose that f(2) = 16. Find the value of c.

A:

Q: Determine the expression for F(x, y, z) given the function F(x, y, z) = 2x²y = xz² + 3y²z.

A:

Q: Find f∘f where f(x)=3x−5 and f: ℝ→ℝ

A:

Q: Let ​F(x)=x2− 2 and G(x)=13−x.   Find ​(F•​G)(10​)

A:

Q: For the PMF Px(x) = = 2 x = 1, 3, otherwise. " calculate Var[X].

A: Answer:- Given pmf is  Px(x) = 1/2 , x= 1, 3  Px(x) = 0 , otherwise.  Using formula,  Var[X] = E(x2)…

Q: or f(x) = Vx – 1, g(x) = x² - 3, find fog and go f. Give the domain of each mposition

A: Given f(x) = x-1           g(x) = x2-31) f∘g(x) = f(g(x))                   =(x2-3)-1…

Q: Find the point on y = 4+ x² that is closest to (1, 1). 0 (0,4) O (0.142, 4.020) O (0.545, 4.194) O…

A:

Q: Consider the function f(x) = 2x + 6x510x² - 4. = Enter an antiderivative of f(x). Do not enter +c as…

A: Here we have to find the integration.

Q: ework: dr if r= Vs+1 and s=16t – 20t. dt Find |

A:

Q: Let f(x) = 4x - 8x. Find F(x), the antiderivative function, if F(1) = 3.

A: Let f(x)=4x2-8xTo find the antiderivative function F(x)if F(1)=3

Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

A:

Q: Consider f(x) = 3|x|, which is in R[-2, 2]. %3D b. Use the function F(x) to find ſ², f.

A:

Q: c. x = t3 and y = 2t2 /2, 0<ts v3 3 d. x = t2/2 and y = (2t + 1)7/3, 0<t< 4 %3D

A: 1)x = t3  &amp; y = 2t22,  0≤t ≤ 32)x = t22  &amp; y = (2t + 1)323,  0≤t ≤ 4

Q: Find fx and fy for f(x, y) = (1 - 2x + y)ex+2y Select one: a. None of these b. fx = c. fx (2 + x -…

A:

Q: USC Tolx)=1 and Ticx) = X to find %3D Te (X)and T3(X)

A: Given that, T0x=1 and T1x=x. It is known that, x2=12T0+T2 and x3=143T1+T3. Obtain the value of T2x.…

Q: Eliminate the Arbitrary Constant(s): 1. y = c,x2 + C2xe* 2. Iny = c, + C2x

A:

Q: Find fay (1.2) for f (x, y) = x²In(7 + y) +. 35 19 36 36 19 35 36 36

A:

Q: Let f(x) = 5- x and g(x) 2, find: a. (fog)(0) b. (go f)(0) = c. (fo g)(x) Preview d. (go f)(x) =…

A: Value of the above ques is

Q: The R2 from regressing Y on X is the same as the R2 of regressing X on Y. True or false?

A: For a simple bivariate regression, the linear correlation coefficient and R-square will be the same…

Q: find an antiderivative Fon of the function fox)=5sinX such that FCO)=1.

A:

Q: he function f(x)=3x2+2x

A: Introduction: A function is bijective if it is both injective and surjective and a function f(x) is…

Q: 2. Let f(x) = 3x + 6 € Z7[x]. Find all associates of f(x).

A: The given function is fx=3x+6∈ℤ7x To find: the associates of f(x).

Q: Find the integration of the function f(u) = u(u+ 4) +u-4 + /[u +5) + J((u + 4)) %3D

A:

Q: Fill in the blank so that H(t) is an antiderivative of the function h(t) given below . Note that the…

A: We have to find antiderivative of function h(t).h(t) is given below:

Q: Q4: Find frr, fay, fyr and fy for f (x, y) = e*ly

A: We have to find double partial derivative of given function.

Q: Find and a and дхду f(x,y) = x2 - y2 + 6xy + 4x – 8y + 2 a. b. f(x, y) = e*y + xy

A:

Q: Determine the antiderivative F of "f" , which is defined by f (x) = 4x3 – 6, where F (0) = 3 %3D

A: Consider the given function fx=4x3-6