du ax + u by method of separation of variables, where u(x,0) = 6e-3x gives %3D (a)u = 6e-3x-2t (b) u = 6e-3x %3D (c) u = e3x-2t (d) u = 6e3*+2t %3D O a O b Clear Response

Q: 8x+9y%3D0 10- 5+ -10 10 Z -10-

A:

Q: how does b2 = b1 + 2(x/2)

A:

Q: A shoe company produces 2 types of sports shoes, namely type-1 shoes and type-2 shoes. The firm's…

A:

Q: 4 r°tan|r (r*)dr 4 5+3 ln cos (r

A:

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: Evaluate L-1{ -(-e¯™s+4T8+ 2+1

A:

Q: (1 point) Let f(x) = x² – 6x and g(x) = x – 6. Evaluate the following - %3D 1. (fo g)(x)= 2. (go…

A:

Q: 4 -2 f(x) = -5x* + 2 + 3x %3D differentiate each function with respect to x

A: Differentiate with respect to x.

Q: O Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D %3D %3D %3D

A: As per given data we can write f(0)= 13+1 = 2 f(1)= 23+1 = 9 f(2)= 33+1 = 28 f(3)= 43+1 = 65 f(4)=…

Q: Suppose the point (5, a) lies on y = f(x), the point (b, c) lies on y = g(x) and the point (2, -8)…

A:

Q: 5x3 + 6x2 + 2, f (0) 3 and f(1) -2. %3D 15. Find f for f"(x)

A:

Q: Let f(x) = x and g(x) = 6x – 15. %3D Find the following: (a) f(3) + g(3) = i %3D (b) f(3) g(3) = i…

A: topic - functions

Q: Use f(x) = 4x – 3 and g(x) = 3x2 + 2 to find gof %3D %3D

A: Given : f(x) = 4x - 3g(x) = 3x2 + 2

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: Differentiate x³ - 1 y = x* + 1

A:

Q: a. Find ux b. Find uy C. Show that u satisfies the partial differential equation xux + yuy = 3u. %3D

A: In this question we have to find differentiation for the for the following question.

Q: Find of/dx and dfldy. f(x,y)% 3 (3xy-1) of

A:

Q: Find (go f)x f(x) = x² g(x) 2x-5 O x2-5 O 4x2-5 O 4x²+25 O 2x2-5 Question 10 f(x) = 10x - 7 g(x) =…

A: We will solve the following

Q: (1 point) Let f(z) = r² – 6x and g(x) = x-6. Evaluate the following: %3D %3D 1. (fo g)(z)= 2. (go…

A: Consider the functions f(x) = x2 - 6x and g(x) = x - 6 If f(x) and g(x) are the two functions then…

Q: у %3D (х + 7)(2х* + 3х? + 5х — 1)

A: Giveny=x+72x4+3x2+5x−1

Q: 9=/7-4/+2= 6=/2-41+1= %3D

A: Applying absolute value we have

Q: Column A Column B _1. f(x) = 2– x*+ 8x _2. f(x) = (x + 5)(x+ 1) _3. f(x) = 6 – 2x _4. f(x) = -16 +…

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

Q: S x³√x²-7dx X X 3

A:

Q: Let f = {(5,3),(8,9),(3,8)} and g = 5x +4. Find f(3) + g(3). %3D

A: Given that f = { (5, 3), (8, 9), (3, 8) } Clearly we can say that f(3) = 8 as (3,8) belongs to f

Q: The cost of a class field trip is $15 per person, plus $50 for a bus ride. Which function can be…

A: Given  Per person charge =$15 So charge for x students = 15x Additional charge = $50

Q: Var(X) = Var(Y) = 10.  If X and Y are independent - calculate the value of Var(0.6X + 0.4Y + 10).

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…