Determine the area bounded by the curves x³ - y = 0 and y+ 3x² − 4 = 0, using a vertical element. A none of the choices 81 (в B sq. units 12 37 sq. units 4 (D) 640 sq. units 91 E sq. units 4

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A: Given that y is

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A: This question can be solved using the concept of evaluating triple integrals.

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A: Here, R→(t)=t2,1-t2,t, r(t)=cos t So, F→(t)=R→∘r(t)⇒F→(t)=R→(cos t)⇒F→(t)=cos2t,1-cos2t,cos…

Q: 2. Consider the vector-valued function R(t): Show that is continuous at t = 1. 1-t² Į (₁²-1₁…

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A: We can find the answer as below.

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A: Topic:- sequence and series

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Q: Using Rationalizing Substitution a=4, b = 9 a = 8,b=27 a=64, b= 729 a=2, b=3 729 S 64 dx √x - √√x =…

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Q: 4. General solution of dy= y-x dx y+x

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Q: what is the gross profit margin on the coffee tales described in question 1 above

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Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: Use volume of solid of revolution formula for finding the volume

Q: Suppose that 3 ] of work is needed to stretch a spring from its natural length of 30 cm to a length…

A: Given problem:- Suppose that 3 of work is needed to stretch a spring from its natural length of 30…

Q: Which of the following is true? * f (x, y) = x³ - 2xy + 3y² fx = 3x² - 2y + y³; fy = 6x Option 1 f =…

A: The given function is;  f(x,y)=x3-2xy+3y2.

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x (-x² + 3x + 4)dx…

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Q: Using Rationalizing Substitution 5y+5+ 5 y-1 6 6y+6+ y-1 6y²+6y+6+ 1 y²(y-1) 6 y-1 .729 dx 64 √x-3√x…

A: We can solve the given integral.