3. Let f (x) = x ² + 8x + 14. Find all the values interral C-G ,2) such that f (c) = 0 of ċ in the

Q: f(x) = 8+x 8 - x on [4, 6].

A:

Q: If f(z) = (a") + and f(z +y) + f(z-y) Kf(z)f(y), then the 21 value of K.

A: Given that: *f(x)=ax+a-x2 *f(x+y)+f(x-y)=K×f(x)×f(y) Thus, the function f(x+y) is,…

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: Calculate R5 for f(x)=4x2+6x over [-1,1]

A: The objective of this question is to calculate the Riemann sum, specifically R5, for the function…

Q: Prove x²(x-y)² =x² -y²

A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

Q: Calculate R3 and L3

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Q: Use the IVT to show that f (x) = x3 + x takes on the value 9 for some x in [1, 2].

A:

Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

A:

Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,0) (1, )

A: Here we have to find the point of intersection of f(x)=2x ............................... (1)  and…

Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: 2. Let f: RR by f(x) = -2x + 1. Let A = [2,5] B = [-1,3] C = [−2,3] D = [1, 4]. Find each of the…

A: Here are the solutions:  Note:We have provided the best possible solution for you. Kindly, verify…

Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: 3. Let f(x) = { ,x<2 ax + b, x22 Find a and b so that f (2) exists.

A: To find the value of a and b

Q: Glven that f() = 6x + 2 and g(x) = 1 - x, calculate

A: Given, f(x)=6x+2g(x)=1-x2f[g(x)]=f(1-x2)          =6(1-x2)+2          =6-6x2+2          =8-6x2Hence,…

Q: B. Let f(x) = x – x - 4 and g(x) = 2x – 6 4.) Find ()(x - 1) 5.) Find (4) (x)

A: topic - functions

Q: Calculate R8 for f(x)=7-x over [3,5].

A:

Q: a51 - Find ax2@y3 if f(x,y)-x.e z

A:

Q: Find the domain of (fof)(x) if f(x)= 2 x+2

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Q: Form the PDE by eliminating the arbitrary functions from the relation z = f(xy)

A: