62. a. Show that e>1+x for x > 0.

Q: d) f(x) = x* %3D

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Q: If f(x) = - 4x and g(x)=3x, find a. (f+ g)(x) c. (f g)(x) %3D b. (f-g)(x) d. (x)

A: As per bartleby expert policy only first three subparts are to be answered. Kindly repost remaining…

Q: Q2) Use rounding to 6 digits and compute each of the following: a) P(0.01), where P(x) = (e*…

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Q: 4-1. Suppose that f(x)= e¯ for 0< x. Determine the following: (a) P(1<X) (c) P(X=3) (f) x such that…

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Q: 1 If h(x) = 5 + x and k(x) = which expression is equivalent to (k h)(x)?

A: Given : h(x)=5+x   and k(x)=1x we have to find (k∘h)(x)

Q: 58. a. Graph f(x) = |x| for x < 0. b. Graph g(x) = Vĩ for x= 0. Skrl for x < 0 Vĩ for x2 0 %3D c.…

A: a) fx=x, for x&lt;0 b) gx=x for x≥0 c) hx=xfor x&lt;0xfor x≥0

Q: Given g(s) = 8s 852 s + find the following. 1. (a) g(1) 9. (b) g(-1) (c) g(2)

A: Given function gs=8s2+1s (a) We have to find g1 Put s=1 in gs g1=812+11=8+1=9 (b) We have to find…

Q: 15. (1.3.36) Find fogoh, where f(x) = |x4| g(x) = 2x h(x) = √(x)

A: To find , where

Q: . Find a function f and a number a such that f() 6 + [ di = 25 for all x>0

A: Given, 6+∫axftt2dt=2x ,                  x&gt;0 To find: The function f and number a =? Concept…

Q: find the following.    k(1)     k(−0.004)

A:

Q: f(x)=√x² - 6x. Use interval notation to indicate the domain of f(x). Note: When entering interval…

A: We have to find the domain of f(x) = x2-6x4.

Q: Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

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Q: 1. Find the domain of the function 1- e*? 1- el-x f(x) =

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Q: If the Var[X] = m then how do you find Var[X-k]? E[X] = k.

A: We have given information, VarX=m EX=k

Q: 30/33 Solve for x. 3. 10 21

A:

Q: Evaluate S h(x)dx geometrically for h(x) 5 - x ;x 1 °

A: Given:

Q: 1. How many non-real zeros does the function f(x) = x - 2x + 8x-16x have? 1. 0 2. 2 3. 3 4. 4

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Q: 10. Determine all x E R such that [x] + Lx + = [2x]. %3D Justify your answer.

A: Given that x+x+12=2x    x∈R        - (1) Case - (i) Let x is an integer i.e; x=m Then from equation…

Q: 4. If E(R) exists, show that |E(R)| < E(|R]).

A:

Q: Let f(r) -z- log(a + 7) Then ()- Check

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Q: Use the given graph of f(x) = 1/x to find a number & such that %3D if |x - 2| < 8 then - 0.5 < 0.2…

A: Limit of a function: Let the limit of a function fx be L, as x approaches a. It is denoted by…

Q: Write in point-slope form an equation of the line that passes 3 through (4, 8) and has slope m = 4 -

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Q: 55. By normalizing the function f(x)==-defined in the domain [0, 2], we will get as a result the…

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Q: Let f (x) =12 x+4 %3D x+2 g (x) = x-1 x+2 Then (fg) (x) =

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

Q: 6. Show that =+ E-(-1)"(n+ 1) E)". when Iz – 2| < 2.

A: Seriese expansion

Q: Show that for all x E (0, 00) we have In(x) <x – 1. Also, graph the functions In(x) and a - 1…

A: Suppose f is differentiable on an interval where I can be  . Note the result corresponding to…

Q: 6. Which is the best list of possible values of x that could make f(x) = 3x³ + 6x² + 11x + 6 equal…

A: f(x)=3x3+11x+6.

Q: Find the interval in which the root of equation e +x -8 = 0 lies.

A: given equation is ,                       ex+x-8=0 here,…

Q: 4. Show that the function log(1+ x) lies between functions x - and x for all x > 0. (Hint 2(1+ x)…

A: We will expand log(1+x) by Maclaurin's series. Let f(x) = log(1+x)

Q: Suppose 30 is the y-coordinate of the point of intersection of the graphs below. Complete the…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.