Find the number in the interval [0,3] such that the difference of its square from its cube is the least. 0 x = 0 2 X= O x x = -1/ 4 4 0x = 1/1/2

Q: rodal Multiple Choice Questions 1. Using all the letters in the word CANDYCANE, determine the number…

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Q: iii please, NOT i or ii

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Q: 1. f(x) = 3ex +1 2. f(x) = 45x + x45 3. f(x) = 10 sin x + 5 sec x 4. f(x) = x²(2x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 1. f(x) = x² − 16x, [3, 10] 2. f(x) = 15 – 2x − 2x², [1, 2] 3. f(x) = 2x³ + 3x² − 12x + 24, [−4, 0]

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Q: 1 f(x) = (x² + 3x)² at [2,3]

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Q: f5(x³ + x)⁹ (3x² + 1)dx O 5(x³+x) ¹0+C 10 (x²³+x) ¹0 10 +C O 45(x³ + x) +C O(x³ + x)¹0+C

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Q: ormation to answer the next question. The graph y = f(x) has undergone one reflection and one…

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Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

A: We have to find the integral

Q: Solve cos(x) = - 0.73 on 0x < 2π There are two solutions, A and B, with A B A: B = ||

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Q: Find two positive numbers that satisfy the given requirements. The sum of the first number cubed and…

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Q: Given f(x) = 3√x, find f'(x) using the limit definition of the derivative, f(x +h)-f(x) f'(x) = lim…

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A: Above question is solved.

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Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

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Q: g(x)=x5bx³ +a+c. Use calculus to: St (a) Find the critical points of g(x). (Round the y-value to 3…

A: Given a=15, b=12 &amp; c= 15

Q: Given that f(x) = x³h(x) h(1)=2 h'(-1)=5 Calculate f'(-1).

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Q: Given: y = = 4 cot (3 - 2x) Find: dy dx 0-8 csc² (32x) O csc² (3-2x) 08 csc² (3-2x) -4 csc² (3-2x)

A: Given y=4cot(3-2x)To find dydx:

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Q: (b) [x² x²9x8 – 12x4 + 4 dx 2

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Q: Suppose that x² + y² = 82. dy (1) Use the method of implicit differentiation to find dx dy dx (2)…

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Q: solve the differential equation for initial value problem using the method of undetermined…

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Q: Find f'(x): f(x) = sin(2x) O 4sin (2a) (2 ln 4) cos(2x) O 4sin (2x) (2 cos(2x)) O 4sin (2x) (In 2)…

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Q: Given that lim_ f(x) = 1 lim_g(x) = -2 lim_h(x) = 0, X→2 x → 2 X→2 find each limit, if it exists.…

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Q: 2. How many numbers between 500 and 2000 can be me made using the digits 1,3,5,7,9 without repeating…

A: Digits: 1, 3, 5, 7, 9Between 500 and 999:without repetition:The first digit can be 5, 7, 9.The…

Q: What is the volume of the solid formed when the region bounded by the curve y =√16x², x = -3 and x -…

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Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Topic:- application of integration

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Q: ← A3.LA.S21.pdf Linear Algebra Assignment # 03 Question 1 Write a balanced equation for the given…

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Example 12: Sketch a graph of the function f(x) = x¹ = 4x³ + 10 using the following steps. 32 (a)…

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Q: ƒ(x) = x0.03 1 f(x) = X0.35

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Q: Differentiate g(N) = rN g'(N)= with respect to N. Assume that K and r are positive constants.

A: We need to find g'(N).

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (5x - 7) X→-6

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