3. f(x)=(5x² - 4x³ )³(secx + tanx)³

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A: We can find the area as below.

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Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

A: This is a problem related to decay law. Based on the general formula and concept we will answer the…

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A: Given: I=∫033x-x2dx   As we know that; ∫cosax+bdx=1asinax+b+C

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A:

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A: We need to find area.

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A:

Q: 5. The auxiliary equation of the differential equation (4D³ - 13D + 6)y = 0 falls under Prove your…

A: Given; ( 4D^3-13D+6)y=0

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A: Here is the solution:

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Q: (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

A: The given differential equation is: D3-5D+4y=0 when x=0, y=-2, y'=8, y''=0.

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A: This is a problem related to maxima and minima. Based on the general formula and concept we will…

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A:

Q: Refer to the definite integral to answer the following questions: 4 [*(16-x²) dx

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

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Q: General solution of dy dx = tan²(x + y) dx

A: This question can be solved by taking x+y=t

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A: The fifth term will be ,a5=a+4d=8

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A: Given: x4 (x + y) = y2(3x - y)

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A: Topic:- algebra

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A: Given: x=5+cos2θ and y=3-sin2θ Now, dxdθ=d5+cos2θdθ=-2sin2θ and    dydθ=d3-sin2θdθ=-2cos2θ Now…

Q: What is the general solution of xy(xy³ −1)dx + x²(1+xy5)dy=0? (A) 2x5y³-3x²= Cx² B 2x³y5-3x2= Cy²…

A:

Q: If x = t² and y = t³, then y O t O o O 3/4t O 3/t O Other: =?

A: In this question, we have given the values of x and y in the form of the variable t and we want to…

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A: Find out the derivative of the function.

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Q: At what points does the helix r(t) = (sin(t), cos(t), t) intersect the sphere x² + y² + z² = 82?…

A: This question can be solved by putting x=sint, y=cost, z=t in the equation of sphere to obtain the…

Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

A: Using logarithmic function

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Q: In the exponential form f(x) = a. bx, the base b can be equal to 1. (A) True (B) False

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Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.  How fast does the tip of…

A: Given that, A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.

Q: C064Exp3 Weight:1 The base of a solid is the region bounded by y = √x, y = 0, and x = 4. If every…

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Q: The region bounded by y = 3x - 9 andy = -3x2 + 18 x - 9 revolved about the y-axis. Find the volume…

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Q: 6. Determine the area of the region bounded by x = −y²+ 10 and x = (y 2)²

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Q: 15. The piecewise function -t+ + 0 st < 1 f(t) = ²+1 1st <2 -3 t22 can be expressed in terms of a…

A: This is a problem related to heaviside function which is also known as step function. Based on the…

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) !!! Topic: Differential Equations Initially 100 mg of a…

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