(a) If f is continuous and | ₁² f(x) dx = 8, show that f takes on the value 4 at least once on the interval [1,3]. (b) Approximate Question 1. That is, show that, 5 6 So S₁ 1 - dx. x 1 =dx < Xx 3 2

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A: Given functions are f(x)=25-x2, g(x)=sin(x) Solution a: Since f(x)=25-x2 and f(-x)=25-(-x)2=25-x2 So…

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Q: Is this function analytic fizz=. (1 +x)? +y2 2

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Q: O 0.5

A: The given data from the problem are:The  tangent line at the point (3, 2) The point is (7, 4)

Q: Find the absolute extrema of the following function on the indicated interval.  f(x)=x^3+2x^2-3x+4…

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Q: 4. (a) Find dx (b) Using the result from part (a), evaluate. x So (1 + 22)3/2 (1+22)3/2 dx.

A: ANSWER : (a) ​  ANSWER : (b) ​

Q: Consider the following functions: f(x)= x+1' and g(x) = Find the domain of (f og)(x). Enter your…

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Q: The derivative of the function ()100 is equal to Select one: 100 a-100) cos x 99 O b-100( cos x exin…

A: According to our guidelines we are allowed to solve one question. We’ll answer the second question…

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A: Value of f(x)

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Q: 3. Let f be defined by f(x) = e* sin x. What is the slope of the line tangent to the graph of f at x…

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Q: Let h(x) = tan(2x + 8). Then h'(3) is and h''(3) is

A: This question is about application of derivative