9. Consider the joint pdf 3 f(x, y) = (4ry+x2) for 0

Q: Let f(x) = ln(xe7.) In f'(x) =

A: f(x)=lnxe7x

Q: 3y+125 dy (e+5)² Зу

A: we need to evaluate the given indefinite integration

Q: ,6 .6 If f(x)dx=10 and| f{x)dx=3, then | f(4 – x)dx=? -2

A:

Q: Find rel 5 - dx X 1

A:

Q: f(x)dx = f(x)dx =7, then | f(x)dx = If 4 and

A: If ∫23f(x)dx=4 and ∫35f(x)dx=7 then ∫52f(x)dx=-11

Q: Find S xJ3(x)d

A:

Q: Find the derivative of the function. y= -6x In (5x + 8) dy dx

A:

Q: 10 S™ f(x) dx 3 If f(x) dx = 3 then 3 10 4f(x

A: given statement is : -    ∫310f(x)dx =3    then     ∫3104f(x)dx=9then we have to check it is true or…

Q: Find the interval values for Z such that P(-z<Z<z)= 0.9886.

A: P(-z&lt;Z&lt;z) =0.9886.·.  x=1-0.9886         =0.0114

Q: Table 5.2.1). . (a) (c) -7/8 dx 10. (a) / Fdx (b) dx (c)

A: Introduction: The indefinite integral is the process to find the function which on differentiation…

Q: You are getting ready to do an Independent-Samples t-test.  You are doing it as a two-tailed test.…

A: Alternative hypothesis: The statement that is different from null hypothesis is called as…

Q: | f(x)dx = 12 and f(x)dx =3.1, then J f(x)dx =

A: Use formulas of limits of integration

Q: 7)S ) dx 8)S; dx 1+3e* 9) S 3x3. e-2x* dx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Find the derivative. 5 (2x-3)* f(x)=- OA f(x)=- <-40 (2x-3)³ O c. f(x) = OB. f(x)=- OD. f(x) = 5…

A:

Q: Find d dx [In(3x + 4)]

A:

Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: Let [ 13.5 f(x) dx = 8, 45 f (a) f(x) dx = 3 J4.5 9 (b) (5f(x) - 2) dx = J4. f(x) dx = 3, and Enter…

A: Given : ∫013.5 f(x) dx=8,∫04.5 f(x) dx=3 and ∫913.5 f(x) dx=2. To find: (a) ∫4.59 f(x) dx= (b) ∫4.59…

Q: dy Q. 8 Find 2 -: if Y dx 6x4+1 -48x3 (6x4+1)² .4 -48x (6x4+1)? -84x3 (6x4+1)? None

A: Given that  y=26x4+1

Q: ?cos(xy)dxdy

A: The objective here is to evaluate the double integral: ∫01∫0πx2cosxydxdy

Q: 5. [x³5 (2²³ + x5 (x³ + 1)6 dx

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

Q: Use the product or quotient rule or the generalized power rule to find the derivative of the…

A: Given data:   The expression for the given function is y=(3x+2)7(x)1/2.     The expression for the…

Q: 1.4.1 Find the derivative of the following functions. a) f(8) = log3(cot 0) + esin 0 cos 0 Vtan r b)…

A: (a) Given information: fθ=log3cotθ+esinθcosθ We know that logab=lnblna Therefore we can write,…

Q: 5 If + [³r(x) dx f(x) dx = 7.2 and frx 3 [" f(x) dx = 3.7, find f(x) dx.

A:

Q: 21. Given: y = the first derivative of y is In a e* (xinx – 1) (Inx)? e* (Inx - 1) x(In x)? e* (x?…

A:

Q: 2-8x Evaluate dx. 49-4x

A:

Q: Question 3 Suppose that f satisfies | f(x) dx = 6 and 1| f(x)dx= –4. Calculate -5 (2.x + 10 – f(x))…

A: Given that: ∫-53f(x)dx=6 and ∫35f(x)dx=-4

Q: st ар хи पा S

A:

Q: (4.3) Express fo x9/2e-x/2dx in terms of the gamma function.

A: To Find:To find the above integral using gamma functions.

Q: Evaluate ₁ f (x) dx if ƒ(x) · = O 14 O 12 O 8 06 2x x-1 if x 3

A:

Q: Find and explain the error in the following 1 (In |x – 3|) |. - х — 3 = In |6 – 3| – In |0 – 3| =…

A:

Q: 11. . The table below gives values for functions f and g, and their derivatives. -1 3 1 2 3 3 1 2 -2…

A: Given

Q: ng Table 1 w — o o S

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: f(x) = - 3 ln(8x) f'(x) = ƒ'(3)

A: Given that  f(x)=-3ln(8x) We know that differentiation of the logarithm function if y=ln(x) then…