The equation of the curve is given as y = 3x + 1

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A: Given that - A stone is thrown vertically upward with a velocity of 40 feet per second from the top ...

Q: y =D dy 7 413 = 1-5x dx Find an equation for the curve that passes through the labeled The graph bel...

A: we have to find the equation of curve

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A: topic - limits and continuity

Q: 2. Consider the infinite series 12 12 12 12 12

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A: Here is the solution

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Q: 3cos3x - 1 To evaluate dx, the integrand can be transformed to 1- sin?x

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Q: For the following exercises, find the exact area of the region bounded by the given equations if pos...

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A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

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Q: OBTAIN A FAMILY OF SOLUTION 1. (5 v- U) du + (3V -7U) dv=0 2. (x - yny + ylnx) dx + x CIn y - In x)d...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 1 (a) Define what it means by for y = f(x). %3D * for y = 3x2 – 2x + 1. %3D (b) Using the defintion ...

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Q: Prove by the principle of mathematical induction that 3n2 + 3n + 1 < 2n for n ≥ 8

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Q: 1. 13 – 3x8 dx

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Label each of the following statements as true or false. If true, prove the statement. If false, pro...

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Q: 2. 2) tan- 1 4) sin- 6) tan-1 V3 -1 01_ V3 10) sin -1 2. 12) tan-! 3.

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Q: 2 91 If A = 1+y 4 0 and B = 5 3 31 [0 2 91 40 find the values of x, y. l2 3 3] x2 2

A: We have to find X , Y values  

Q: Question 1 Use a definite integral to calculate the volume of a pyramid with square base of length 3...

A: according bartleby guideline i have to done only first question

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Q: Find the antiderivative of the integrand 49 dx. (A) 49* + C In 7 49* + C In 2 B C) + C 2 In 7 72x + ...

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Q: The limit of a constant is equal to the constant itself regardless of any value of x nearer to a num...

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Q: Determine the equation of the curve whose tangent line at any point (x, y) is e* - cos x and passes ...

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Q: 10x dæ x4 + 4x2 + 3

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Q: Assume that f(x) and g(x) are both differentiable functions with values as given in the table. Use t...

A: topic - derivative of a function

Q: (cos 2y-3x²y³) dx +(coS 2y -2x sin 2y-2x*y) dy =o 2.[2x + y cos (xy)] dx + x cos (xy)dy=o 3. (xy²+ y...

A: Using method of exact differential equation.

Q: Evaluate S2 sin? x cos3 x dx

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Q: Question 1 Let f (x, y, z) = In (1+ x³ + y4 + 25) Find an equation for the tangent plane to the surf...

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Q: A body of revolution is obtained by rotation about the line a = 0 of the region consisting of all po...

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Q: Use the figure to find the indicated derivatives, if they exist. (If an answer does not exist, enter...

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Q: The length of the curve y = In(cos x), 0< x <:

A: To determine the length of the curve, y=lncos x, 0≤x≤π4.    

Q: 29- 3D (2) H

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Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower 20...

A: Solution ) u = 40ft/ sec , s = 200ft We know from newton law  v = u + gt  When we throw and stone go...

Q: Va3 – 1 (o) f(x) = ;c= 1 x-1

A: The given function is not defined at x=c= 1 Because , as x approaches to x the function approaches t...

Q: Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 8 by calcu...

A: Hence, the third approximation is x2 = 2.16

Q: S: +3 What is the antiderivative of dx ?

A: NOTE: Refresh your page if you can't see any equations. .

Q: Let s(t) 6t 36t2 90t be the equation of motion for a particle. Find a function for the velocity. v(t...

A: NOTE: Refresh your page if you can't see any equations. . to find the equation of velocity, take th...

Q: 7. Find dy dx (a) y = (x* + 5x) cos 5x, %3D

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Q: Find the derivative of f(x) = sin (x) and find an equation of the tangent line to the curve f(x) at ...

A: We have to find f'(x) and tangent line.

Q: Evaluate 2 sin² x cos³ x dx 0,

A: Given that: ∫0π2sin2x.cos3xdx

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

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Q: (1+ In²e) -' d® Otan-'(In®)

A: To evaluate:2) ∫41+ln2θ-1θtan-1lnθdθ

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Q: Suppose we need to find an equation of the plane that passes through the line of intersection of the...

A: Since, we know that equation of a plane passing through the intersection of planes P and Q is given ...

Q: 5x² – 4 dx x3 + 2x2 3.

A: (3) Given: - The indefinite integral is, ∫5x2-4x3+2x2dx To find: - The solution of the given indefin...

Q: 10. y(2x3 -x?y + y³)dx - x(2x³ + y³ )dy = 0

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