Evaluate fs 2 ds a. 2(sln2 - 1) (In2)² b. 25 (sln2 - 1) (In 2)2 c. 2² (² + 1) 2 d. 25 * (12-1)

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A: Given data÷ How many different 9-digit phone numbers do not contain the digit 9. Assume that any…

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A: answer is in next step. please give a like !!

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A: The objective of the question is determine the derivative of the given power series.

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Q: Evaluate the indefinite integral given below using the indicated substitution. -10x (-5x² - 10)¹ dx…

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Q: 4. consider F(x, y) = (y² − 2xy) i + (2xy − x²) j. (a) Show that F is a conservative vector field in…

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Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

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A: Please see the below pictures for detailed solution.

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Q: Find the derivative. [미 In dx x +3 x-3

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Q: da Find at z = 4 if y = 4z² - 1 and dt da dt 11 > Next Question dy dt = -5. 11

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Q: If y = f(x), f'(x), (f(x+h)-f(x)) and slope of the tangent to the curve of f(x), h lim h→0 they all…

A: if y = f(x) Then,  By first principle of derivative

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A: This question is related to logarithmic equations, we will solve it using given information.

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Q: So F. dr - 0 for every closed curve Cin R, an open connected region. True False

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Q: (ew - 3) dw? O-ew + C O ew - 3w+C OeW-3w+C O eW-3+C

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Q: Find the power series representation of the function f(x) = = x 2x² +1'

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Q: ) = 400(5 + 2

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Q: Question 6 Evaluate the integral and choose the correct answer. fe¹²x dx 01 다 F2 Cete 2 01 jet + C…

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Q: Evaluate the following limit using Taylor series. 3 22²/2 (-) lim 2x² 848

A: Evaluate the following limit using Taylor series.     limx→∞2x2e-3x2-1

Q: drawing the slope field for the differential equation , I would place slope lines of _________ at…

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Q: and f(a) f(x) = 4x² + 5x² + 6x-7 3 7 2. Find f(x), f"(0), given

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Q: If A and B are square matrices of the same size, then it is always the case that AB=BA.

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

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Q: Find the curl of the function G = (xcosy)i + xy² j. (y² + xsiny) k ○ (y² + xsiny) î ○ (y² - xsiny) î…

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Q: (x² - 1)y" + (x + 1)y' - y = 0

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Q: Question Use substitution to evaluate the definite integral given below. [V²5 (Enter an exact…

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