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

Q: (c) Suppose that ƒ hits every value between y = 0 and y = 1 on the interval [0, 1]. Must ƒ be…

A: A function is continuous when its graph is a single unbroken curve , that you could draw without…

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

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A: The definitions of the left-hand side derivative and right-hand side derivative can be used to show…

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A: It is given that, f(x)=11-ln1/x   A function is said to continuous in an interval in which it is…

Q: Q4) let f be non-negative continuous function of [a, o]& k> 0 is constant. IF t f(t) a holds, then…

A: Given f is a non-negative continuous function on [a,∞) and k&gt;0 is a constant. Suppose,…

Q: 6. Suppose that ƒ is differentiable on (a,b). interval [a, b]? Justify your response for find a…

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Q: Let f(x) = V17 – x. Compute f'(8) using the limit - definition f'(8) = | 8 Find an equation of the…

A: To find the derivative of f(x)=(17-x)1/2 using limit definition and also obtain the equation of…

Q: t, 0<t<1 f(t) -1, 1, 1<t< 2 || –t, 2<t<10

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Q: Determine the number at which h(x) = V16 – x² is continuous. %3D | Vx²-1 Determine the largest…

A: Note that: A function is said to be a continuous function on some interval when the function is…

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: 2t , 0<t < 2 f(t) = lo, 2<t<10

A:

Q: Let f(z) (x-iy)e- ) Determine the points at which exist, and find r(2) at these points.

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Q: 2- For what value of the costant c is the function continuous at every number? F(x) = {x+c if x<2…

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Q: Suppose that a continuous function g satisfies: 9(z)dr = 42 and 9(2x)dz = 12. | z9(32°)dz. Find

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Q: Consider the following function: f(x, y) = {xy cosy/3x2 + y2     if (x, y) 6 not equally to (0, 0)…

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Q: 4. Give an example of a continuous function f : (0, 1) → R that cannot be uniformly approximated by…

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Q: Let f(x) = 2 – x². Over the interval [0, 2], calculate (a) R4 and (b) L4

A: As per the instruction, we will be answering only the first question. For (1), For L4:

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Q: H.W Ex 2: Determine if the f(x) is continuous at x 3 ? at x-3 f(x) =- x²+2 at x 3

A: Given query is to find f(x) is continuous or not at x = 3.

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

A:

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

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Q: (Read the dėlihition Caleluny.) |x2, if x l; is differentiable at 1. 2x-1, ifx > I; 4. Prove that…

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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

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A: Given that function s continuous at (0,0). We need to find the value of m.

Q: x+ (х,у) # (0,0) f(x,у) — 1-/x² +y² +1 k (х, у)%3 (0,0)

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Q: For the function f(x) = sin² x, find the absolute maximum value M and the absolute minimum value m…

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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: function, that is 0 everywhere except at t=0, is know as:

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Q: Assume thatf is differentiable in (-oo, x) and af'(r)N 0 for all a E (-00, 00). Prove that f has the…

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Q: Find the values of a and b such that f is differentiable at x = 3

A: Given,            The function is fx=ax+bx≤32x1-1x&gt;3To find : Find the values of a and b such…

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: Let x = s + t and y = s - t. Show that for any differentiable functionf (x, y),

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A: See the attachment

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

A: