2. Find g € R[x]<2 so that R[x]≤2. ſ₁² f(x)g(x)dx = S² ƒ(x) cos(πx)dx for all ƒ €

Q: If ƒ is an intergrable even function then . f(x)dx Jo f(x)dx.

A: Given f(x) is even function.

Q: (x² + 2 , x² – xk – 3 , x 5 7. Find the value of K that makes the function f(x) = Continuous at x =…

A:

Q: Let X have a p.d.f. fx(x) = {} -1 < x < 2, otherwise. Find the p.d.f. of Y = X².

A: Given X have a p.d.f and Y=

Q: make a sketch of the given function on the interval[0,∞). Q. f(t)=t(1−u1(t))

A:

Q: Find S° g)(x) and write the domain in interval notation. e) - V2 -x 16

A: f(x) = 3/(x2-16) and g(x) = √(2-x)

Q: If the percent decrease is 25%, what is the common ratio?

A: Common Ratio The common ratio is defined as the amount between each number in a geometric sequence.…

Q: On what interval is this function negative? f (x) = (x – 4) –1

A: We have to find

Q: 2. Determine if a function f : [0 ; 2pie] → R defined by f(x) = sin 2pie is continuous

A: Determine if a function f : [0 ; 2pie] → R defined by f(x) = sin 2pie is continuous.

Q: r what value of a is the function f (t) = 08 O-15 O -30 O 24 t -a, -10 < t ≤ 3 t² + 8t, 3 < t < 10…

A:

Q: The graph of the function f(x) shown bellow is •.... Sx +1 if x < 1 i'; f(x) = [ x + 1 if x< 1 if…

A: f(x)=x+1if x&lt;14if x≥1

Q: af af Find and for the following function. Əx ду f(x,y) = x² - 2xy +9y² af ?x II

A: This question is related to partial differentiation, We will solve it using given information.

Q: Graph the function h: Z→Z, defined by h(x)=| 3

A: Graph of the function

Q: Which statement is true about the graph of f(x) = |x| + 43 at the point (0, 43)? ) A. The graph has…

A: D option is the correct option. to make this question easier will look at the graph of this function…

Q: 2. For f (x) 1, g (x) = 1 + Vx, find the domain and range of f / g, and g/f

A: Given: fx=1, gx=1+x

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

A:

Q: Based on your knowledge of sequence that has been covered in the course ECON1003, classify the…

A: The given sequence 28, 21, 15, 10, 6,...... We have to determine whether the series is an arithmetic…

Q: Write f(x) in terms of unit step functions, Ua(x).

A: Consider the equation

Q: Given the following function: f(x) = 2x For g(x) f(x) dx, determine g(x).

A: Given,       fx=2x       gx=∫fxdx

Q: Given that 4 ≤ f(x) ≤ 6 for 2 ≤ x ≤ 5, estimate the value of [ f(x) dx D≤ ²} 1 2 f(x)dx:

A: Given that 4≤fx≤6 for 2≤x≤5. We have to estimate the value of ∫25fxdx.

Q: Compute f(x)dx (6 points) f(x) = { 2x if x<1 4 if x21

A: In this we have to do the integral of given function so I'm providing hand written solution for this

Q: Let f(æ) = /90 - x and g(x) = x² – a. Then the domain of f o gis equal to [a, b] for a = Preview and…

A: Given: fx=90-x, gx=x2-x

Q: The function below has the form | f(x) dx. x2 dx (x³ – 1)1/3 (a) Evaluate the integral to obtain a…

A: The given function is  F(x)=∫x2(x3-1)13dx

Q: Q2. Given that f(x) = |6 – 2x|. Draw the graph of f (x) and hence evaluate f f(x)dx. [ Fig 1

A: Let's find.