From the d, e definition of Continuity, prove that the following function is con- tinuous at the indicated point: f(x) = { z'sin(!) x#0 Prove the following function is continuous at x = 0.

Q: x - 2 > 1

A: Given,          x-2 >1

Q: xp 4x (1)(-2e

A: here we will use exponential theorem for solving and after that apply integration p[roperty.

Q: Evaluate L 6e-2s s²+4) {

A:

Q: 2) folve 27 L1 J2-5 -2z -J3

A: solve2z+1-2z-3=2-i3

Q: How do you do order of operations?

A: If an expression consists of more than one operation, then first, we solve any operations inside of…

Q: Determine the three arithmetic means between x+y and 4x-2y

A: We want to find the three arithmetic means between x+y and 4x—2y. Let a2,a3, and a4 be the three…

Q: What is the result of 1+1?

A:

Q: What would be the notation for the mean of the x values?

A: From the given information, the values are denoted by the variable x.Let us consider the number of…

Q: y = x2 + 6x |y = x² + 6x -5 -4 -3 -2 -1

A: y y=x2+6x y -5 y=(-5)2+6(-5)=25-30 -5 -4 y=(-4)2+6(-4)=16-24 -8 -3 y=(-3)2+6(-3)=9-18 -9…

Q: what is x+4=7

A:

Q: are the steps in order o

A:

Q: what is the associate property (a+b)(C+5)

A:

Q: Evaluate x-2 4-22

A:

Q: 3x + 4>x-7

A: x > ( - 5.5)

Q: 7s + 3 1s² +8s +5) Exercise: Evaluate: L-1.

A: Evaluate  L-17s+3s2+8s+5

Q: 3x-9(if x=6)

A: Given,            3x-9 if x=6

Q: Q. (a) Find an equation of the tangent plane to each surface at the given point. (b) Find symmetric…

A:

Q: 5x+1>16

A:

Q: 3+2_=

A: We solve this by basic algebraic property

Q: If f(x)=14-x^(2) and g(x)=\sqrt(x+31), compute g(f(3)). Simplify your answer as much as possible.

A:

Q: y+4<11

A:

Q: solve the differenctil equation by undtermeind coefficients y'' +2y = -18x2e2x   y(x) = ?

A:

Q: 5+5x+10(if x=6)

A:

Q: 3x-2(x-4)+x Simplify

A:

Q: Domain and rans 10

A:

Q: what is rational expression?

A: Rational expressions are the fractions in which the numerator and/or denominator are polynomials. It…

Q: Simplity -72

A: To simplify: -72

Q: x3-y3 by replacing x with -0.4 and y with -0.2.

A:

Q: 2. X8x+5 (4x22 2.

A: Here we have,  a) 2xy2×8x4y5b) 4x2y32

Q: 3x + x + x + x - 3 - 2 = 7 + x + x   What is the value of x?

A: We have to find the value of x.

Q: x2-2x-3>0

A: Given x2-2x-3&gt;0

Q: Find the value of x in the diagram below

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2メ -

A: The determinant of A is 2x2-18=0. Rewrite the matrix form as, , A=2x36x The transpose of the matrix…

Q: 2y-4&gt;-6 and 3y+1&lt;13

A:

Q: -(x-6)

A: