I. True or False: Write True if the statement is always correct, otherwise write False. 1. All continuous functions have antiderivatives. 2. If f and g are continuous on asxsb, then LƯ*) + g(x)]dx = f f(x)dx – g(x)dx 3. The approximation of area is more accurate if n is increased. 4. f(x)dx = F(a) – F(b), where F is an antiderivative of f. _5. x dx = -fx dx

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A: Here we have given a linearly differential equation :

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A: Let price reduce x times Price of deli = 6 - 0.1x Number of deli sells = 720 + 20x   Revenue

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A: This question is based on indefinite integral.

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A: Solution

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Q: IV. Problem Solving: A. Write the expression as a single Integral 1. '= xp(x)fJ + *P(x)f = xp(x)f f…

A: As per policy only first three questions are answered. Please refer to the image below

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A: Solve the following

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A: Formula to be used is  Angle= arc/radius

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A: Here, the given Alternating series is: ∑n=1∞(-1)n-15+7n

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A: answer is in next step

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A: We have to use trapezoidal rule. Option B is correct.

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A: The Intermediate Value Theorem: If f be a continuous function over a closed interval [a, b] with its…

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A: We have to find the value of θ.

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A: The solution is given in the next steps.

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A: This question is related to slope of surfaces, we will solve it using given information.

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A: Given: f(x)= x2 - 11x + 18

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