Find the values of a and b that make f continuous everywhere: x²-4 if x < 2 x-2 f(x) = ax? – bx + 3, if 2 3 -

Q: 4.- Let be the function f defined by the rule f(x) = 5x³ + 2x² - x + 10 Find f(x) in f(0.5) f(-4)…

A:

Q: Which of the sets are Linearly Dependent 1 2 3 00 CD-10 3 A a. Set A and B are Dependent, C is…

A:

Q: 5- Solve the folowing linear algebraie equations using the Gauss elimination method: 3x -2x2 + 7x3 =…

A:

Q: (2-3x -15xS1 (x)={x-2 nsider the piecewise linear function given by the formula f (x) =< Determine…

A: To find the solution of the given equations

Q: x-3 d) f (x) = Vx-4

A:

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: Let f = x²-12x+27 x² - 6x +9 At which point f has a continuous extension?

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Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

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Q: A.INSTRUCTION: Evaluate the following Functions (2): fx)= 2x - 6x + 5 /(- 6): f(x) = V3x – 5 S(4):…

A: Topic - functions

Q: Evaluate the following: 1. f(-8)= 2. f(-1)= 3. f(3) = f(x) = x² + 2x x + 8 if x -1.

A: Given: f(x)=x2+2x  if x≤-1x+8      if x&gt;-1

Q: Given f(x) = 3x²– 12 and g(x) = 2x + 1. Find g(f(x)).

A:

Q: Identify the real number at which it is not continuous of the given function

A: To find: The real number at which the function is not continuous: Given: The function is fx=-x23x+9.…

Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

A: If we have a quadratic equation ax2+bx+c=0 and α and β are the roots then: α+β=-ba αβ=ca We can use…

Q: Solve: 2 0 -1 0 2 -6 1 -2 -3 -2 0 1 -5

A:

Q: State the domain of f(x) =- x+3 O (e> 3} {x\x 2 3}

A:

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

A:

Q: -5 -4 -3 -2 -1 n y = دیار 2- 7 1 -2- -3- -4 2 3 4 10 5 Write an equation for the function graphed…

A: Given graph

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: Let f : R → R, where f(n) = 5 . Answer the following questions. 7x²+3*

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Q: 2 V1-x*

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Q: For what value of x does the function g(x)=-1/3x3 +2x2  convex

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Q: S2x+1, x54 x² +12, x>4 3. Is the function f(x) = continuous?

A: topic - continuity of a function

Q: For what value of x does the function g(x)= -1/3x3 +2x2 convex

A:

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.