Given f(x) = 4√x – 3, find f'(x) using the limit definition of the derivative. f'(x)=

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A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

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A: The null and alternative hypothesis is given by; H0: There is no difference in preference for in…

Q: Determine rank(A) and nullity(A). 2 2 3 3 2 2 4 4 5 5 0 0 0 0 1 1 A = 1 1 2 2 2 2 1 2 1 2 1 1 1

A: Given matrix, A=112233224455000011112222121212 To find the rank and nullity of the matrix.

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Q: A traffic light is installed to allow traffic from a seldom used side street to cross a 4-lane…

A: H0: p(red) = 0.8, p(yellow) = 0.05, p(green) = 0.15 Ha: either of the proportion is different

Q: -8. -[-2]. (a) Give an example of three vectors that are linear combinations of v₁ and v2. Problem…

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Q: Given the triangle below, find the angle A and length of side x Note: picture is NOT drawn to scale,…

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Q: The probability of a can of paint containing contaminațion is 4.23%. The probability of a mixing…

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Q: Determine whether the given matrix is diagonalizable; if so, find a matrix E and a diagonal matrix D…

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Q: If f(x) is optimal at x = x*, show that the maximum of first even derivative of f(x) [i.e. f"(x)] at…

A: In mathematical optimization, when a function  is optimal at , the second derivative at that point…

Q: 4. Solve the following inequality. Write the answer in interval notation. (x + 5) (x - 3)²(4x +3) >…

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Q: Step 3: Graph the function. e (x-3) _6 a. Describe the transformation, in the order in which the…

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Q: Step 6: Chose a new value h = (other than –1,0 or 1). Write this as a factor (x – h). a. If this…

A: (a) Add (x+3) tot he numerator of the given function . f(x)=2(x-4)(x-5)+(x+3)(x-3)(x-4)…

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)…

A: Concept: The limit derivative of the function f(x) at x=x0 f'(x0)=limh→0f(x0+h)-f(x0)h

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A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: y =(3+x)=¹/2, a = 1 Find the Linearization at a = a. L(x)=

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A: Here we have to find the equation of line.

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Q: Show that the limit below does not exist. Note that the function is not continuous at (0, 0), so we…

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Q: d*f for the function f(r) 1 +xª + Find dr4 lz=3

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Q: Find the standard deviation of the following set of data: (1,3,5,7,9}

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Q: Prove lim(3x–10) =-4 using the ɛ, d definition of a limit. 2

A: Recall: ε -δ Definition :Let f be a function defined in a deleted neighbourhood of 'a' . Then a real…