In what way did theorems/techniques of antidifferentiation help you find the integral of a function?

Q: (i) Consider the iterated integral I = f(x.y.)dzdydx. Rewrite I using an x-simple region (with…

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Q: _2 .2 y = у — 2х* + 3x — 4х, у — х* Find the area of the region enclosed by the two equations. (make…

A: the region is bounded by y=2x3+3x2-4x, y=x2

Q: Consider the following. x - 2 f(x) = x2 - 4 (a) State the domain of the function. O all real numbers…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z - 1 2x - 10y - 2z =…

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Q: Use any method to evaluate the integral. 3 x*dx 2 Vx + 25 3 x*dx S- 2 Vx +25

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Q: xsin-1x V1-x2

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Q: The velocity of a particle moving along a horizontal line is described by v(t) = t - 2t m/s.…

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Q: 4.7.8

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: To evaluate the given integral.

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point:…

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Q: Find the area of the paralielogram PQRS if V(PQ) = 3i– 2j and V(PS) = 3j + 4k.

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Q: The short-term demand for crude oil in Country A in 2008 can be approximated by -0.03 q= f(p) =…

A: We need to find elasticity.

Q: Given the following matrices: 8 3 2 3. -3 0 4 1 2:C= 4 -1 2 A=5 6 3 1 0 -2 %3D 3 5 2 -3 2 5 3. Find…

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Q: sin(z) Find the derivative of the funciton F(x) = In(1 + 6v) dv. F'(x) =

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Q: Evaluate the definite integral: | (и - 3)(и — 4) du

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Q: 6.26. у - 3у %3D0

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Q: 29. What is the lim f(x)? 2 В. DNE С. -2 D. -4 A. O A O D 30. At which value of x is the graph…

A: Solved below

Q: 23. Using the points P, and P, of Exercise 19, find the point Q such that V(P,Þ.) = 3V(P,Q).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Using L'Hospital method, this can be solved very easily. So, I have use that only.

Q: For numbers 17- 20, use the given function. (5 + 2x, x <- 6 f(x) = } x +5, x 2- 6 17. What is the…

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Q: LIMITS 1. Evaluate the following limits, if they exist. If they do not exist, but approach too,…

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Q: Evaluate the definite integral: I Va de

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Q: A manufacturer has a steady annual demand for 12,000 cases of sugar. It costs $8 to store 1 case for…

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Q: 2) Evaluate the following line integral:S. (v + z)dx + (x + z)dy + (x + y)dz where C consists of the…

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Q: X- Sin Find d2y/dx2 without eliminating the parameter. 16) x = 1 - 10 sin t, y = 1 + 9 cos t, t n7…

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Q: 26. Find a unit vector whose representations are perpendicular to the plane containing PQ and PR if…

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Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

Q: A1 3 y = 2x A1 + A2 = A3 1 y = x²

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Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: Solution of question is written in below steps.

Q: Find what is asked for each item. Provide a solution for each item. 1.у %3 (2x³ + 3x? - 4x - 5)? ,…

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Q: Prove by contrapositive. if x and y are integers such that x > 1, and x divides y, then x / (y +1)

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Q: oriented

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Q: 5x3–x²–1 21. Which of the following is an end behavior for f(x) = %3D A. 5 B. 5x3 C. + o D.0 O D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 y + 5 = z +…

A: Given that equation of line x-28=y+57=z+71Solution :x-28=y+57=z+71=tx=8t+2y=7t-5z=t-7point…

Q: 1. 3 Consider the parametric surface 7(u, v) = (2uv, u? - v, u² +v²), where u +v < 2. Evaluate the…

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Q: y = sin* 3x – cos" 3x sec 4x y = tan 4x

A: Note:- Here your given statement is incomplete for which question you want to apply Quotient Rule…

Q: 11. Find the cosine of the measure of the angle between A and B.

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Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. y=x^2…

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Q: (4 csc x cot x + 2 sec² x) dx

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Q: R is the region bounded by the given curves. R: y = x, x = 0, x = 1, x-axis Find I, Ry, Iy R.…

A: Let's find.

Q: (a) How fast is 60 decreasing at this instant? Express the result in units of deg/s. Round your…

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Q: Find the dimensions of the rectangle with maximum area that can be in- scribed in the ellipse x2/a²…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: I am attaching image so that you understand each and every step.

Q: Consider the curve 5 sin(y) + 3 cos(x) = 2. %3D Find y' by implicit differentiation. Find y" by…

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Q: Find the area of the surface generated when the indicated arc is revolved about the x-axis.…

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Q: n 10 2x dx te the integral (x² + 1)3 (x? + 1)-3 +c

A: We  have to choose the correct option from the given options

Q: Find the dimensions of a rectangle with perimeter 104 metres whose area is as large as possible.…

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Q: IH A and B are any two vectors in V, prove that (A- B) x (A + B) = 2(A X B).

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Q: a) Find the second and the ninety-seventh term of the sequence 8 15 22 29 ( 18' 33' 48 ' 63 the…

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Q: Evaluate the integral. |cos *x sin xdx Scos 4 cos "x sin xdx =

A: To find the value of given integral .