If the average value of the function f(x) on [0, 3] is equal to 3 1 3/² 0 what is Select one: 0 6 O None of the others O 24 02 09 f(x) dx = 8, S.³ f(x)dx?

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Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

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Q: II. Solve each of the given LDE of order n. 1. (D-4D³ +3D³) y = -27

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A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

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A: topic- limits

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated…

A: I have stated the used formulas in the solution

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Q: Determine the x- and y-coordinates of the trapezoidal shape. 2.9 b Answers: (x, y) = (i 1.8 b ) b

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: We have to test the series

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A: Given, Foci: F(0,±2),  vertices: (0,±5)

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A: We will find the equation of hyperbola.

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A: I have find the direction and value of maximum rate of change of given function and say that given…

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Q: Find the derivative of f(x) = (-x6 - 3x² - 6x) sin(x). Provide your answer below: f'(x)=[

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Q: Question 1 1 a. [ Use the method of Lagrange multipliers to find the extreme value(s) of f(x, y) =…

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A: Find the value of t for which the population will be maximum.

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A: The integral is  ∫01 x2 dx

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Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

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Q: Convert the point (-√3,0. √√3) from rectangular coordinates to spherical coordinates.

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A: Given data÷   y=x2+2x+1 and  x-y=-3   y=x2+2x+1 is a parabola and  x-y=-3 is a straight line

Q: For a function h(x) we know that h(50)=68 and h’(50)=-5. Estimate the value of h(53)

A: Topic = Functions

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A: The used formulas are

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A: NOTE: Refresh your page if you can't see any equations. . compare this vector field with  so here…

Q: Evaluate. 34) f' x(x2 + 1)4, 0 dx

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A: Topic:- coordinate geometry    Hint:-  if slope of line is m than Slope of perpendicular line  to it…

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Q: Write a proof to justify the perpendicular bisector method of construction. A B Given: Prove: AB AC…

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Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2-2 at the point (3,1).…

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Q: Find the derivative. F'(x) if F(x) = (ex² -3) 2² F'(x)=

A: use the natural log both side for finding the F'(x).

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A: Select one

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A: Given  St=60t2t2+150

Q: Evaluate 6252 6251 6250 6254 6253 Ads, where C is the right half of the circle x² + y² = 25.

A: To evaluate the given integral.

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A: Given  fx=ln1-x

Q: If f(2) = 5 and f ′(x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be? f(7)

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Q: Partial fraction decomposition can now be used to write L{y}, such that all terms have linear…

A: We can find the value of A and B by using the partial fraction method.