Find the area of the region enclosed by the parametric equation x = t³ - 8t y = 4t²

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Q: 3

A: We have to choose the correct options according to the given information

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A: Topic = Derivative

Q: 3G III. T ⊙ 곤 Question Seve.... Let A be the square matrix [203] 0 1 4 l1 0 1 Find, if possible, a…

A: The given matrix is;  A= 2 0 3        0 1 4       1 0 1.

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A: We will solve.

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Q: Ind the one-sided limit (if it 1 Ilm *--5+X+5

A: topic:-  limits

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Q: < rev The demand for a product is given by D(x) = 170e-002, where x is the number of units sold each…

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Q: If f(x) = 2x + 3 and g(x) = 3x + 2, what is the value of f(g(3))? 16 O 20 O 25 O 29

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Q: the x-values (if any) at which is not continuous. Which of the discontinuities are removable? (If an…

A: Topic:- limits and continuity

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Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

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A: topic:- application of calculus

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A: topic:- calculus

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A: Consider the graph of f

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Q: Differentiate the function. (a) f(x) = x5/3 - 2/3 (b) g(x) = √x+x x2 (c) h(x) = = x 2-tan x

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Q: dx x(x+2)² 1. S: 2. f(x+1)dx x²(x-1) 3. (5y-4)dy y³+4y²

A: According to the guidelines issued by the company we are supposed to solve only first three subparts…

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Q: 2 2. V X W y = -log₂ (x+3) Equation of Asymptote: Mapping Rule: #3 O -6 E $ 4 R % 5 -2 22 T 2 0 -2…

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A: I am going to solve the given problem by using some simple calculus to get the required result of…

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Q: Suppose you have 1640 meters of fencing available with which to build three adjacent rectangular…

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

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A: Vector with magnitude 'r' and direction 'θ' in terms of I and j is given by V=r(icos(θ)+jsin(θ))

Q: 7. Use the Mean Value Theorem and find all points 0 <c<2 such that f (2)-f(0) = f'(c)(2 - 0). f(x) =…

A: topic:- function

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Q: figure to evaluate the definite integrals N 1 -1 -24 ²8(1 g(t) dt = Lg(0) y = g(t) + 1 2 3 4 5 rals…

A: Topic:- application of integration

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Q: Use the figure to evaluate the definite integrals y = g(t) K +t 1 2 3 4 5 2 y 1 + -1 -2- +2 +3 2…

A: We can find the area under a curve between two points can be found by using a definite integral.

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Q: (2x-6) ¹² 3. h(x)= (3 + نمو)

A: The objective of the question is evaluate the derivative of the given function.