The f sin 2x cos 2x dx is 1+3 cos 4x 1 sin²4x + C 24 1 In|1 + 3 cos 4x| + C 12 {A} {B} {C} - In|1 + 3 cos 4x| + C 24 {D} In|1 + 3 cos 4x| + C 12

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A: Solved below

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A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

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A: Use derivative for finding the taylor polynomial.

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A: This is a problem related to integration. Based on the general formula we will answer the question.

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A: Solve it

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Q: bus For the function f(x) given below, evaluate lim f(x) and lim f(x). 818 8118 f(x) = √3x²-1 7x+3…

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Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

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A: This is a problem related to mensuration. Based on the formula for volume of cone and derivative…

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A: A 10‐ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

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A: We have to find the year.

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Q: Figure A is transformed by the dilation D:(x, y) = (8x, 8y) to make figure B. Figure A is…

A: We can answer the question as below.

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A: Here, the curve is above the x-axis for [0,1] and the curve is below the x-axis for [1,2] &…

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Q: Find the indefinite integral. Solution in handwritten b. f(x+1)√2- xdx

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Q: 2000, the population of a city was 71,000. The population had grown to 100,000 by 2011. If the…

A: Given query is to find the population in 2026.

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A: To find the area of the region under the graph of f(x)=x2-6x+12 on the interval [-1,2].

Q: Question Use the binomial series expansion, 1 for the function f(x) = = ✓1+4x4 If necessary, round…

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Q: 5. By the Fundamental Theorem of Calculus (Newton-Leibnitz Theorem) √² + x² d VX evaluate

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Q: Problem 1: Obtain ODE by eliminating arbitrary constant A, B, and C y = Ae2x + Be + C

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Q: B. The maximum value of f(x) is h. OC. The graph of y = f(x) is a parabola. D. If a 0, then f has a…

A: Topic:- calculus

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A: This question can be solved using the concept of triangle law of vector addition.

Q: Question 6.5: In Example 6.4 we did an ideal thermodynamic analysis of the General Electric T700…

A: answer is in next step

Q: Which of the following is a polynomial function?

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: ∫0π22cos4xdx,  n=4Then ∆x=π2-04=π8The subintervals are 0,π8,π8,π4,π4,3π8,3π8,π2By midpoint…