4ay = x2, and y = x + 3a

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A: Topic:- definite integration

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Q: can you please and write and understand text

A: Apologies for the inconvenience. Here is the solution with improved explanation.    From the graph,…

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A: Apologies for the inconvenience.   The answer key asked for the exact answer. So we have to enter it…

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Q: Problem #1:x =- Vy (y – 3); 1 <y< 9

A: Given:  x=13yy-3; 1≤y≤9 To Find:  a To graph the given curve.b To determine the arc length of the…

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Q: a) L{te-3t cos 3t}

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Q: 1. The sum of two positive numbers is 10. Find these numbers if the sum of their squares is a…

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A: Given figure:

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Q: a) Find dx using implicit differentiation: x + y² = 2xy³ + 1 b) Find the equation of the tangent…

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Q: For the function f, given below, find the antiderivative F that satisfies F(1)= 0. f(x) = x° - 4x -…

A: The given function f(x)=x5-4x-3-4

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Q: f(x)

A: We will find the equation of tangent.

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A: This is a problem related to vector. Based on the general formula we will answer the question.

Q: Use properties of exponents to write the function in the form f(t) = ka', where k is a constant.…

A: Solving the problem by finding the simplest form of the given expression.

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Q: 24 How many 3 letter codes can be formed from the word PROJECT if letters cannot be repeated? 7C3 7!…

A: Number of m letter codes from an n letter words without any repetition can be formed in = nPm ways.…

Q: Suppose that f is a function given as f(x) = 5x 1. Simplify the expression f(x + h). f(r + h) = f(x…

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

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: The given function is: f(x,y)=x3-y3 Now,  ∇f=∂f∂x,∂f∂y=3x2,-3y2∇f(6,5)=(3(6)2,-3(5)2)=(108,-75)

Q: b) and 10 inches. Find the dimensions of the rectangle with the greatest area assuming the A…

A: Given problem:- A rectangle is to be inscribed in a right triangle having sides of length 6 inches,…

Q: 3 tanh (In(4x)) sech" (In(4x)), I) y = tanh (In(4.x)) [y

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Q: Evaluate the impropec integral oc sho that it diverges, dx

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. dx 4 - 9x2 ... dx %3D…

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Q: Integration by Trigonometric Subshtunon SxCx?- ax+4) $12 XP

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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: Evaluate x +1)?dx = [{(x+ 1}dx+ f{(x+ 1}°dx %3D

A: ∫13x+12dx=∫12x+12dx+∫23x+12dx⇒563=∫12x+12dx+∫23x+12dx⇒563=193+∫23x+12dx⇒563=193+373

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx² + y²,…

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Q: 23. Suppose f(x) ={9 (бх + 5, хSо (2x+ 5, x> 0 Which of the following statements is NOT true? i.fis…

A: 23.fx=6x2+5,x≤02x+5,x&gt;0 Note:     Multiple questions are given, we are answer with only one…

Q: Find the derivative of the function y = (cos(x))" .

A: