The integral of a rate of change over a closed interval is equal of a function is equal to the difference of the values of the function at the endpoints of the interval. F')deF(b)-F(a) Riemann Sum O The Derivative O Evaluation Theorem Net Channe Theorem

Q: Assume f'(x) is continuous everywhere and [f'(x) dx = 2. If f(b)=1, then f (a) is equal to (i) o 1…

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Q: intervals where the derivative of 1/x^3 are concave up and concave down

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Q: QI\ find domain and rang of this function 2x y = x3-4x

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: ribe the interval(s) on which the function is continuous. 1, XSO Sr+1, x>0 - x) (-, -1). (-1, 1) and…

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Q: Exact Trapezoid Rule Prove that the Trapezoid Rule is exact (no error) when approximating the…

A: Let consider a linear function fx=mx+l. Compute the definite integral of the function fx=mx+l for…

Q: Graph of f' The graph of f'(x), the derivative of f is shown. The function f has a local minimum at…

A: Points where f' is zero. f' = 0 ; points are 1, -3. Function increases after x=-3 to x=1, hence,…

Q: Turunan fungsi f(x) yang dinyatakan dengan f(x) adalah f'(x) = A. D. E. rVF В. C. V

A: To find The derivative of f(x).

Q: True or false? If f is a differentiable function for which f'(a) = 0, then any differentiable…

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Q: Suppose the derivative of a function fis given below. On what interval is f increasing?…

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Q: g the Second Derivative Test, it is possible to have no conclusion with regards to tical number of…

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Q: dx √ ₁ (1-x²7/01/2 0

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Q: Let f be a given function. A graphical interpretation of the 2-point backward difference formula for…

A: The 2-point Backward Difference Formula for approximating f'x is given by…

Q: Find the area between the curves f(x)=1-2x and g(x)=-x-1 over the interval [-4, -1]. (A) 13.5 units²…

A: topic - Area between the curves

Q: Uing the orntered three point formmla (given below) for the appruximation of first derivative and…

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Q: State the substitution rule for indefinite integrals: if u = an interval I and if f is continuous on…

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Q: x1 X4 x3 X5 X2 Figure above is the graph of f', the derivative of a function f. On what interval(s)…

A: The graph of the derivative of the function is given. We have to answer the following...

Q: Consider the family of functions: f(x)= ex(3x-a)² where a and b are both positive constants such…

A: fx=ebx3x-a2 and  f'x=ebx3x-a3bx-ab+6

Q: Let f be a continuous function and set Evaluate the following (a) F'(x) (b) F'(1) (c) F"(x) (d)…

A: Let  be a continuous function and set To evaluate the following.

Q: 28. Second-Derivative Test for Concavity Suppose that f is twice differentiable on an open interval…

A: Given: The f is twice differentiable on an open interval I.

Q: Show that the function is continuous over ]-infinity, +infinity[ 4 x* sin(1/x) si x#0 f(x)=: si x=0

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Q: Suppose that the values of a smooth function f are known for x = -0.15, –0.1, 0,0.1, 0.15 and 0.2.…

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Q: For y = f(x), the [Select] x = a + his f(a+h)-f(a) (a+h)-a = from x = a to f(a+h)-f(a); h‡0. h

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Q: f"cc) 1 The graph of the twice differentiable function f is shown in the figure above. Which of the…

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Q: Find the average value of the function f(x) = 2x sin(x²) on the interval [0, √π]. 02 4 — 2 NLE π √T

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Q: 1 Find the extrema of the function f (x) = 2-e-* O a) (2, e-2) O b) no relative extrema c) (2, e²),…

A: Differentiate the given function to and equate that to zero to find the critical points.