her f is continuous or discontinuous at ven numbers. B -2 0 2

Q: 3. Use the limit definition of the derivative to compute the derivative f'(x) for the function…

A: f(x)=5x-2according to defination of derivative f'(x)=limh→0f(x+h)-f(x)h

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A: Given query is to find the interval where function is concave up and down.

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Q: Calculate R5 for f(x) = 4x² + 9x over [-1,1]. (Give an exact answer. Use symbolic notation and…

A: Question - Calculate R5 for   f(x) = 4x2+9x over [-1, 1].

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Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: 6. Compute AB, BC, AC, and ACAB. 0 21 3 B 1 2 4 1 2 1 A - -- = = " 2 54 1 3

A:

Q: 2. Let f(x) = x² + 2x. (a) Find the average rate of change on the interval [1, 2]. (b) Find the…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

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Q: Find the following derivatives. Do not simplify your answers. d sin (3x) dx e²x + x² a)

A: NOTE: Refresh your page if you can't see any equations. . use the quotient rule for the derivative…

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Q: Find all solutions of each equation on the interval [0, 2π). sec² x + tan x = 1

A: sec2x+tanx=1  in [0,2π)formula used  1+tan2x=sec2x

Q: If sinx+cos x = 1/3, then 18 sin² X -9|=

A:

Q: 4. Determine the value of a so that the following function is continuous at x = 2. -2 h(x) = x²-x-…

A: A function is said to be continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a)…

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Q: Let F(x) = 1 x² 6 x4 (x+9x³). Then f'(x) =

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Q: 720 Consider the function f(x) = 5x + on the interval [8, 15]. Find the absolute extrema for the…

A: Answer: 1) Given function F(x)= 5x+720x on interval [8,15] We have to find Absolute maxima and…

Q: Use the graph of the function f shown to estimate the indicated limits and the function value. a.…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph point (1,1)…

Q: Consider the function f(x) = 5x² 40x on the interval [0, 7]. Find the absolute extrema for the…

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Q: Example 6: Define a function g satisfying g(x): = sinx for x 0 yet g is continuous at x = 0.

A: A detailed solution is given below.

Q: ion of a parabola given the vertex and the focus parabola with vertex (5,-5) and focus (7,-5).

A: Given vertex is (5,-5) and (7,-5)

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Q: Consider the Initial Value Problem: " + 5y-6y=0, y(0)=2, (0)=-1, Which one of the following is the…

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Q: Question 4 (i) Evaluate (Hint: Rationalize twice) lim x→2 19 √2x + 5 x 2 4

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Q: 1. Solve the linear inequality. Draw the graph of the solution and write the solution in interval…

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Q: Evaluate the integral. π/6 T -π/6 π/6 - π/6 [(2 sin t)i + (1+4 cos t)j + ( sec² t) k] dt = [(2 sin…

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Q: 2. Solve the 3-part compound inequality. Draw the graph of the solution and write the solution in…

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Q: Solve the problem. The monthly cost of a certain texting plan is given by the function y-0.05x +…

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Q: Sketch a possible graph of a function that satisfies the conditions below. f(0) = 1; lim f(x)= 3;…

A: Topic = Function Correct graph =D

Q: 7. a Given f(x) = 4x² + 2x-3, find f(-x). b. Find -f(x). c. Is this function even, odd, or neither?

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Q: Consider the piecewise defined function Find the values of a and b that make the following function…

A: Please see the below picture for detailed solution.

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Q: Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use…

A: For given graph for (-∞,0) slope is positive but decreasing.   ( cancel out option 4)at x = 0, slope…

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Q: t continuous: * = t differentiable: * = ter none if there are no x-values that apply; enter x-values…

A: Given query is to find the value of x where function is not continuous and differentiable.

Q: Find All Solutions 1+ cos x = sin a on the interval [0,2π)

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Q: If f(x) = 5x arctan (3x³), find f'(x).

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Q: Consider the graph of f(z) given below: 10 -10-8 -6 4 8 6 4 2 197 -20 2 4 -6 -8 101 . 1 1 1 L 1 1 1…

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Q: 2 If sin 0= and and 0° <0<90°, find cos 0. 3 - 3√/13 13 2√/13 13 1/2 15 -0.54 0.18 0 -4 3 7√//53 53…

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Q: Using the appropriate theorems, explain why the function is continuous at every number in its…

A: The given function is Fx=2x2-x-7x2+9. We have to explain the continuity of the function.

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

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A: To find the rate change of population.

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Q: Graph the given piecewise function f(x) if x ≤ 0 if 0 2 f(x): = 7 1 x-1 (x - 2)² +1 40 -5 A -3 2 -n…

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Q: Find the mass of the thin bar with the given density function. π 3π p(x) = 1 + sin x; for sxs. 4 The…

A: Answer: The solution is given below:

Q: determine the open intervals on which the graph of the function is concave upward or concave…

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Q: Which one of the following is the general solution of 3 + 5y = 1? dz y=+cel -+ce where CER ++ where…

A: To find the general solution of given differential equation