4. The PDF of rand om variable W 1S fw (w) = {c(w + 5), 0, -5

Q: 7x – 16 dx = (x + 2)(x² + 1)

A:

Q: EVALUATE e3x dx 0. O None o 음(el2-1) ,12 (e!0 – 1) ,12

A:

Q: Q10 Compute ²₁(2x - 1)dx

A:

Q: If v(t) represents velocity in meters/sec and t is time in seconds, explain what the expression…

A: 2      v (t) represents velocity in meters/sec.                 t is time in seconds…

Q: y 8. If z = 2 = 0. show that + 2 x + y ||

A:

Q: Evaluate the following: a. [₁₂ (6 + e ²¹) 8(t - 4) dt = [ b. ₁ (6 + e ²¹) 5(t− 8) dt = [ c. L₁ (6 +…

A:

Q: 1. . x + 4 dx x² + 5x – 6

A:

Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

A:

Q: 16 d :| (2V8– 1) dt da. valuate dr. dx 5.

A: We have evaluate to the given expression

Q: 1. "(x² + y²) dxdy

A: Solve intregal

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: dx 14. Evaluate (x – 2)(x - 3)(x +2)

A: Given: I=∫dxx-2x-3x+2 For evaluating given integral, first we simplify given expression by using…

Q: | f(x)dx = 3 and f(x)dx = 7 , then (2f(x) +3)dx = If 4

A: TO FIND ∫43(2f(x) +3) dx GIVEN - ∫03f(x) dx = 3 ∫04f(x) dx =7 USE THIS PROPERTY TO SIMPLIFY- ∫abf(x)…

Q: Eliminate the arbitrary constants. y ln y = Ae* + Be¯x

A: We have to eliminate the arbitrary constants A and B from ylny=Aex+Be-x

Q: х Pr Product .3 2 a .4 .4 2 7 h

A: Consider the given table, X Pr Product=X×Pr 0 .3 0 2 a .4 5 .4 2 7 b c

Q: P2.1.6 Suppose A E R×n is symmetric and nonsingular and define à = A + a(uu" + vv") + B(uv" + vu…

A: The Sherman-Morrison-Woodbury formula is :- If (A + uvT) is invertible then :  (A + uvT)-1 = A-1 -…

Q: i. Given that log x=12, log, y = 15 and log, z = 18. Consider the following four logarithmic…

A: Given: logax=12, logay=15, logaz=18 To find the value of the logarithmic expressions and find how…

Q: 2sinx if 2 sin x %3D what is u?

A:

Q: Compute e-1/z ₁-3+1° -dz, and $ e¹/2² |z-i|=3/2 2² +1 dz.

A: Concept Used If a complex function f(z) is analytic within and on a closed contour c inside a…

Q: . Let f(x) = ka. Determine the constant a so that f(-1) = 10 and f(2) = 5 19 4

A: Given query is to find the constants of the function.

Q: = f(x + Find +6)(x − 2)dx + C

A:

Q: %3D O 3. Find the first 3 iterates of the function f(x) = -2x+ 3 when xo = 0. O 1, 1, 1 O -2, 0, 2 O…

A: Iteration formula problem.....

Q: xy then, y' y+ 2Vx3 x+- 2

A: How to do Implicit Differentiation 1. Differentiate with respect to x 2. Collect all the dydx on one…

Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: 1 dx. 6. Evaluate, if possible, | (2 + 1)

A:

Q: 5.[15] Evaluate V1+7x dx a. Identify u= b. Find du=

A:

Q: 12. | (1피+ 1r-2) dr

A: To find the integral  ∫-14x+x-2dx Apply the sum or difference rule, ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx…

Q: Given y = (u² + 1), u = x² = 5, determine when x = dx - 2.

A:

Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0

Q: 3. Find all possible values of k if "(2x + 4) dx = -12

A: Given integral is as below: