6. a. Find all relations from (0,1) to (1}. b.Find all the functions from (0,1) to (1}. Ic. What fraction of the relations from (0,1} to 1 are functions?

Q: Approximate the numerical value of f'(0) using the graph provided. to 3 54 3 219 1 23 45 -2 3 4 O…

A: By the inspection of graph we find the equation of function. Also You do this by looking at how the…

Q: $6. Determine the complementary function for the given DE.

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Q: a. Find all functions from {0, 1} to {1}.b. Find two relations from {0, 1} to {1} that are not…

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Q: Suppose f'(x) = x² - 1. Then the graph of f is concave upward on 0 (-∞0,0) O (-1,1) (0,00) O (-∞,…

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Q: 1. Indicate whether h(x), h'(x) and h"(x) are positive (+), negative (-) or equal to zero (0), at…

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Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove the following: f-1(E -…

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Q: Find the domain of f(x)=x² for 0<x<5. O (1,25] O (0,25) O [0,25] O [1,25)

A: Given: The function is fx=x2 for 0≤x≤5. To find: The domain of the given function. The given options…

Q: Consider the following relation. −3x+5y=−2x−5y Step 2 of 3 : Evaluate the function found in the…

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Q: Prove this is an equivalece relation. x related to y iff x2 -  y2 is even

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Q: Which of the following represents a family of quartic functions with zeros -1(order 2), 2, and 3

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Q: function is defined as c*x^1 from 1 to 5 and 0 otherwise. What is c?

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Q: 5.16] Use the function f (x) = xe¯ ¯x² to find fave on [0,4] %3D

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Q: . Define a relation from Z to Z as follows: For all x EZ and all y E Z, x and y are related iff y =…

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Q: 1. Which of the following relation between x and y represents y as a function of x? Select all that…

A: Relation between x and y is given in the graph. we have to the relation as a function.

Q: Below is the function f(x). 5 4- 46 -5 -4 -3 -1 -1 2 3 4 5 -2 -3 -4 -6 -7+ Over which interval of x…

A: The graph of the function is given by

Q: What is the graph of a function f that satisfies the following con- ditions: • f'(x) > 0 on (-00,-1)…

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Q: 6 Whether y dhefines shesines has y as a function of x. no xintercept to

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Q: {h,p,t, v, w}, and 7, 10, 12, 15, 16, 21, 24, 29, 30}. 21), (р, 29), (t, 24), (v, 24), (w, 10)} de n…

A: We have to complete the given statement according to the given information

Q: 3. If f(x) = 4, what is the value of x given that f(x) = 2x+1 A. 2 В. 32 C. 1/2 D. 4 4. Find f(x-1)…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Suppose that the function h is defined on the interval (-2, 2 as follows. (-1 if -2<rs-1 if –1 <x<0…

A: Solve the function

Q: 8. Show that the function f : N → Q defined by f(n) n- is one to one. n+1

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Q: (a) Let the function g : Z → Q be given by the rule 2n° +3 g(x) n2 + 1 Justifying your answers, say…

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Q: 19. Derive the formula for the Product Rule for four functions. (fghw)' = f'ghw+ fg'hw+ fgh' w +…

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Q: 3. Determine whether the functions e2a and xe2 by calculating Wronskian.

A: Let f(x) = e2x and g(x) = xe2x Then,  f'(x) = 2e2x ,and g'(x) = e2x+2xe2x (by using chain-rule of…

Q: Suppose we have a function k(t) such that k(7) = 10 and k' (7) = –0.25. %3D

A: b) Assume k(t) = At2 + Bt + C

Q: which of the following is true about the relation shown below?

A: The difference between a relation and function is, A relation can have many output for a single…

Q: If f(x) = -7e*, th %3D

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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: The interesting relation is x^2+y^2 = 13. I have drawn it and completed part 1. Part 2 is determine.…

A: Topic:- geometry

Q: 1. State the domain of this relation. * 2 -2 {x ɛR} O {x ɛ R, x + 1} O {y ɛ R} O {y ɛ R, x + 1}

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Q: 8. Give an example of two relations S and T such that R = the domain of S = the domain of T= the…

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Q: The domain of the function f(x)= tanh( x - 10) is Select one: O[-10, 10] O(0, ) None OR-{10} O [ 10,…

A: Set of values of x for which function is well defined is called domain of the function

Q: Write the domain of the relation y = arccsc x. x≤-1 or x≥1 -1≤x≤1 0≤x≤1

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Q: How do you show the image of the union of S and T is equal to the union of the image of S and the…

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Q: Find a function from the set {1,2,.....30} to {1,2,.....10} that is a 3-to-one correspondence.

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Q: 1 and the domain for g(x) is a s as x-> inf, f(x) -> inf and the

A: Domain of a function: All the possible values of x that makes the function f(x) valid or the values…

Q: 11. Define a relation P from R to R as follows: For all real numbers x and y with x>0, (x, y)e P…

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Q: Suppose that the function h is defined on the interval (-2.5, 1.5) as follows. -2 if -2.5<x<-1.5 -1…

A: We can answer all the three questions as below.

Q: 1. Construct a table of values of the following functions using the interval of -5 to 5. a. g (x) =…

A: gx=x3+3x-5x2 When x=-5, g-5=-53+3-5-5-52=-5.8 When x=-4, g-4=-43+3-4-5-42=-5.0625 When x=-3,…

Q: 8. Decide if the following functions are onto. Prove your answers. (a) f(x) = x² – 1 (b) g(x) = 2x…

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Q: nsider the following relation. Зх — 2у %3D 4 ep 1 of 3: Rewrite the relation as a function of x.

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Q: Suppose that the functions 1 and 1 are defined as follows. u(x)=-2r-2 w (x) =−x²+1 0² 0/0 X 5 Find…

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Q: Let fi = 1+x + æ?, f2 = 3+ 2x + a?, fs = 1+ 2x + 3x?, fa = 1+ 3x + 5æ?. 1 -1 is a dependence…

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Q: if r 4,

A: Given,          The function is gx=xif x≤03if 0&lt;x≤13-x2if 1&lt;x≤4x-3if x&gt;4

Q: 7. Define a relation M from R to R as follows: For all real numbers x and y, (x, y) e M means that y…

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Q: For the function def ined by f (x) =x² on [0, 1] and P=0,-,- 4 4 4 1, then: U(f;P)=[X]

A: We will find U(f,P) for the partition

Q: 1.

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Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 2e* on the interval…

A: Solution: The objective is to find a point c

Q: Suppose that the functions u and w are defined as follows. u (x) =x²+4 w (6) - /x+5 Find the…

A: givenu(x)=x2+4w(x)=x+5therefore(u+w)(x)=x2+4+x+5(u-w)(x)=x2+4-x+5

Q: 1 -Find all the points where f(2)is analytic. 2+3 Let /(2) =

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