Use the graph below to determine the values of z at which the function is not continuous. y-4- -10 ¥5 5. 10 -8- The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter.

Q: Consider the function if a<0 2 + I if0<I < c, g(x) = if a c where c is a positive constant. Show…

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Q: Find the interval that the fullowing function is continous at In (9 -x) %3D A. [I,3] BL) (3,3) (1,3)…

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Q: For what value of b is             continuous at every x?

A: To find the value of a such that given function is continuous for every x. f(x)=a2x-2a,    x≥212,…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given: The function, f(x) = 10-8e9-x,  x &gt; 910-89x,       x≤ 9

Q: Is the function g(x) continuous at x = 5? g(x)= O No 1 5X+7, 5x-13, for x>5 Choose the correct…

A: Given query is to find function is continuous or not at x = 5.

Q: Q3) For what values of a and b are ax + 2b , y =x? + 3a -b, (3х -5, 0 2 Continuous at every x ?

A: Equate at given value

Q: Let ​h(x)=​f(g(x)), where f and g are differentiable on their domains. If ​g(−1​)=2 and g′​(−1​)=7​,…

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Q: For what values of b is b + 1' x? + b, x > 0 8(x) = continuous at every x?

A: Now we check the continuity at x = 0:

Q: Q3) For what values of a and b are ax + 2b , y = x? + 3a -b, 3x-5, x 2 Continuous at every x ?

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Q: For what value of b is X - b b + l' x 0 continuous at every x?

A: The given function is gx=x-bb+1if x&lt;0x2+b if x&gt;0. If the above function is continuous at x=0,…

Q: Q3-A) Is the function F(Z) continuous or not at z-U? 1+|21,

A: Let z = x+iy then Re(z) = x and |z| = √(x^2 + y^2) If z = 0 =&gt; x = 0 and y = 0

Q: 1. For what value of k is the function h(x) continuous on the whole real line? HINT: Use definition…

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Q: Use the three step process to determine if the function f (x) = S2² +1 ifx 2 at r = 2. Your Answer:

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Q: Consider the function g :ℕ→ℝ  where  g(n) = 1 if n is odd and g(n) = 2 if n is even. Is g continuous…

A: Given function is g :ℕ→ℝ  where  g(n) = 1 if n is odd and g(n) = 2 if n is even.

Q: Find a value of x, if any, at which/(x)= Vx- 27 is not continuous.

A: We will check the continuity of the function

Q: Determine the set of x-values where y = x - 4 r2 +9r+18 is continuous, using interval notation.

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Q: Find the constant a such that the function is continuous on the entire real line. (5x2, ах — 3, x 2…

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Q: Determine if ()- 7 1 sec' if – 1 1 х — 1 is continuous or not at x = 0 and 1. In the case of…

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Q: Q3-A) Is the function F(Z) Re(Z) %3D continuous or not at z-0? 14171

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Q: Q3) For what values of a and b are -x* +а, xsin + 1 0<xs y = bx3 + 2 , Continuous at every x ?

A: Explanation of the answer is as follows

Q: b. Test the continuity of the following function 1, x< 0 V1-x, 0sxs1 ,atx 0,1 x- 2, x21

A: We have to check the continuity of f(x) at x=0, 1

Q: For what value of a is x² -1, x< 3 f(x) 2ax, x2 3 continuous at every x?

A: Given function is Since, f(x) is continuous at every x, so f(x) is continuous at x=3.

Q: Use the equation ƒ(x) = ƒ(a) + ƒ′(a)(x - a) + ƒ′′(c2) /2 (x - a)2 to establish the following test.…

A: For the given function to determine its behaviour at a critical point x=a, use second derivative…

Q: a. Find the value of (k) that make the fumction flk) = ,continuous atx = 0 +3k-3 x=0

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Q: Q3) For what values of a and b are ax + 2b , y = {x? + 3a -b, (3x-5 , 0 2 Continuous at every x ?

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Q: Q3) For what values of a and b are -х2 +а , x<0 x in+1, 0 < x<- y = bx3 + 2, Continuous at every x ?

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Q: Q3) For what values of a and b are -x² + a , x< 0 1 xsin-+1 , 0 < x< y = bx³ + 2 , Continuous at…

A: See the attachment

Q: Showthat fo= x| is Continuous evalyuhore- 1x1+1

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Q: Determine the set of points at which the function f is continuous. x² + y? f(x, y) ={ Jx² + y² +9- 3…

A: In this,we check the continuity of given function f(x,y) at (0,0).

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

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Q: Find the constant a such that the function is continuous on the entire rea 6sin x X g(x) = a 8x if x…

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Q: Consider the function y = 4ex + 7. What is the exact value of C in the interval [0, 5] such that…

A: We need to find value of C.

Q: Q3) For what values of a and b are (-x² + a , y = { xsin-+1, 0 < xs: bx³ + 2 , Continuous at every x…

A: See the attachment

Q: Determine if g (x) = is continuous at x = 0

A: A function f(x) is continuous at x=a if, limx→af(x)=f(a). We try to evaluate limx→04-xx and f(0) and…

Q: t. Ost<1 f(t)={-1. 1st<2 -t, 2sts10

A: Topic = Functions

Q: For the function f(x, y) = xy((x2 − y2) /( x2 + y2) ) define f(0, 0) such that f is continuous at…

A: A function f is continuous at the origin, the function value at the origin must be equal to the…

Q: O Show that the function f: N2 N defined by f(x, y) = 2X3Y is injective but not surjective.

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Q: Q2 Evaluate whether the function 1-xy if xy # 1 z = x-y if xy = 1 continuous at (1,1) or not.

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Q: Use the definition of continuity to show that h(x) = x^2 + 5x/2x + 1 is continuous at the number a…

A: The given function,   h(x)=x2+5x2x+1

Q: Give a 8, e proof that f(x) = x² + 3x is continuous at x = a, where a is any real %3D number.

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Q: For what values of a and b is ax + 2b, g(x) = {x? + 3a - b, 0<xS2 3x 5, %3D - continuous at every x?

A: The given function is gx=ax+2b,        x≤0x2+3a-b,  0&lt;x≤23x-5,           x&gt;2. For the given…

Q: Determine the set of points at which the function is continuous. a) f(x,y) = ln (a²² + y² – 4)

A: Given function is                                                              f(x, y)=ln(x2+y2-4)…

Q: | For what value of a is Sx² – 1, x< 3 |2ax, f(x) = continuous at every x?

A: Let f is continuous at x = 3 then left and right limit are equal.

Q: Find the number a and b at which f is continuous everywhere? x+a if x 1

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Q: Q3) For what values of a and b are ax + 2b , y = x2 + 3a -b, 3x-5, 0 2 Continuous at every x ?

A: We will check continuity at breaking points of the function. For continuity , left hand limit and…

Q: Q3) For what values of a and b are (-x² +a, y ={ xsin - bx3 + 2 , 0 <x<: Continuous at every x ?

A: Given information: The function is y=x2+a          x≤0xsin1x+1   0&lt;x≤1πbx3+2       x&gt;1π…

Q: 6x2 - x²y +6y2 x2 + y2 Define f(0, 0) in a way that extends f(x, y) = to be continuous at the…

A: The given function is- fx,y=lnx2y-x Partially differentiating it w.r.t. x- ∂f∂x=2xy-1x2y-x Again…

Q: Q3) For what values of a and b are -x² + a , x Continuous at every x ?

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.