things: f'(x) = b(r) b'(x) = p(x) p'(x) = t(x) t'(x) = f(x) 0 f(x) 2 b(x) 0 t(x) 4 p(x) 1 2 $ f ₁* P(² What is 10 What is 23 Answer: y p(x)dx? 2 31 > Next Question 0 4 لا s fª (f(x) + 4)dz? 4110 3 4 1 4 2 3 What is the equation of the tangent line to the curve y = t(x) when x = 0? لیا

Q: v = (6, 1, 6) w = (1,7, 10) Find the cosine of the angle between v and w. Cos O = %3D

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Q: f(x) dx if Jo Find

A:

Q: 2. Explain how the maxima and minima of f(x)=sinx, gix)=sin(2x) and hox)=sin(3x) affect the shape of…

A: (2) To Explain: How the maxima and minima of sinx, sin2x, sin3x affect the shape of the graph of…

Q: Practice problem

A: First, we need to differentiate the given equation with respect to x. The equation is f(x) + x^2 *…

Q: 3. If f(x) = sinx ex find f'(0).

A: fx=sinxex

Q: Find f'(x) and f'(c). Function f'(x)= f'(c) = f(x) sin x x Value of c π 3

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Q: For f(x) = (2a* + 3x)(5x*), find the derivative of f(x). 80x7+ 60x3 20x7-30a3 O 10z8 + 15x4 O…

A: We will use concept of differentiation to solve this.

Q: 3 If f(x) = (5x + 5)-³, find f'(x). f'(x) = Find f'(1). Enter the exact value as an expression.…

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Q: 3- 2 -3 2 -1 2 3 g(x) = sinh(x) -1 -2

A: the symmetry used here is the y-axis which divides the graph into 2 equal portions.  the graph given…

Q: Find f"(x). 7 f(x) = 3x - 15x - f'(x) =

A: Given: fx=3x2-15x-7x4

Q: 15 .3 Suppose f(x) da = 2. f(x) da | f(x) da = 5. What is | f(æ) da? 3, and -8 -10 10

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Q: 8. If f(x) dx = f(x) + C, determine f(x). Justify your answer. %3D

A: Given, ∫f(x)dx=f(x)+C Differentiate both sides with respect to x, we get f(x)=dfdx…

Q: Find f such that f'(x) = 8x-5, f(2)=0.

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Q: Evaluate f"(c) at the point. 9) f(x) = In (4x - 3), c = 1 10) f(x)=3x2-3, c=1 3x - 4 11) f(x)= 4x-3'…

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