Calculate the derivative of y with respect to x, if x³/² + y-5/2 = 7. dy dx

Q: 2. Determine d (sin-¹(x²-1)). dx Simplify your answer as much as possible.

A: Consider the function

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A: From the given graphParent function f(x)=y=x2

Q: Find the volume of the given solid. Enclosed by the paraboloid Z = 5x2 + 4y2 and the planes x = 0, y…

A: The region enclosed by planes

Q: Question 3.35) An expert in the housing market tells you that the price of midsize houses in a…

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Q: -6 What is the characteristic polynomial of the matrix A = For ease of entry, for this problem we…

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Q: Simplify the rational expression. y³ - 27 -y² + 9y - 18

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Q: Use implicit differentiation to find 있으 9 sin (xy) = 8x + 5y = dy dx

A: we need to find out the derivative of the given function.

Q: 10. Question: Find h(2) . Assume f(1) = 2, ƒ(2) = 0, ƒ′(1) = 3, ƒ′(2) = 4 . g(x) is given by the…

A: To find . Assume . is the graph given below.

Q: 4. A = [ 5 7 5 ²]. b = = ['₁ 5 12 17

A: Given,

Q: Why/How did you know to use the 2n when multiplying the power?

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Q: 2. For what values of n does this integral converge or diverge? Show all evidentiary work for each…

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Q: d the derivative of :) = €5* (x² +9¹)

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Q: Consider the function f(x) = 2x³ − 6x² - 18x + 9 on the interval [-2, 4]. What is the absolute…

A: f(x)=2x3−6x2−18x+9

Q: Find the point where the tangent line to y = 5x² at x = 0.7 crosses the x-axis. x-intercept =

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Q: Find all relative extrema of the function. Use the second derivative test where applicable. (If an…

A: The given function is

Q: Find the derivative of: -5√x + 3 76 ● Type your answer without fractional or negative exponents. Use…

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Q: Find the length of the parabolic segment r= 14 1 + cos 0 The length is (Type an exact answer, using…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

Q: Find the derivative of the function. f(t)=√3+ tan(t)

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Q: 6. A = 4 7 3 6 b = 10 5

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Q: If 3x² + 2xy + y² = 2, then the value of dx -2 (b) 0 - at x = 1 is (c) 2 (d) 4 (e) not defined

A: The equation of the curve is The value of  at  can be obtained asNow, the point at which we need to…

Q: 1 8 Q1. Let f(x, y) = 3xy + / - 1. Т

A: f(x,y)=3xy+1x−8y

Q: 3 days ago Given the quadratic function of y = 5u2-3bu+b If the function is said to possess repeated…

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Q: Solve the equation and check your solution. 6x 15 = 9x + 22 X =

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Q: Use deductive reasoning to complete the magic square below: 2       5       8

A: A magic square is an arrangement of numbers such that the sum of each row, column and diagoal is…

Q: If f(x)=x² [f(x)]³=2x-8 and f(1) = 2, find f'(1).

A: we are given the equation, and we need to find the value of f'(1).

Q: Let y be defined implicitly by the equation In (4y) = 3xy. Use implicit differentiation to find the…

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Q: (a) Suppose that a spherical snowball melts so that its surface area decreases at a constant rate of…

A: Question no. (a):Suppose that a spherical snowball melts so that its surface area decreases at a…

Q: Find the derivative of the function. y=e22x

A: Find the derivative of the function.y=e22x

Q: Determine the derivative dy da for each of the following equations.

A: (a) y=log8⁡(4)

Q: The function f(x) = -3√x - 15 +14 x > 15 has an inverse f-¹(x) defined on the domain x < 14. Find…

A:

Q: 2 p(x) = a₁ + ax + a²₂x² + ... + 10x⁹ = k = 1, 2, 3, ..., 9 •P(---) 10 1 k 00

A: It is a nine degree polynomial whose coefficient of x^9 is 10

Q: Solve the following In(x) Ⓒdx ((*√x) In (²))

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: dy dx - 5ln(t), y = 4t² - 4t-2

A:

Q: The function f(x) = 2x³ − 42x² + 270x - 7 has two critical numbers. Use the derivative to…

A: we are given the function and we need to find the critical numbers.

Q: Question 3.34) A helicopter gets into difficulty at time t= 0. Its altitude (in meters) is given by…

A: 3.34 ) D The altitude is given by

Q: Determine the vertex of the parabola whose graph is given below. MMM 6 5 4 S 2 -7-6-5-4-3-2-1, 1 2 3…

A: The graph of the parabola is To determine: The vertex of the parabola.

Q: Use the second derivative test to find the x-coordinates of all local minima given the following…

A: The given function is

Q: Find the derivative for each of the following inverse trig. functions. (a) dª arctan(7x) = dr (b)…

A: We know,

Q: Consider the following equation. x²7xy-y²-5y = -47

A: x2−7xy−y2−5y=−47

Q: Find the values of the other trigonometric functions given the following conditions.  a. sin theta =…

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Q: Use a calculator to evaluate each of the following. Give the answers correct to four decimal places.…

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Q: The limit below represents the derivative of a function f(x) at a point zo. Give the equation for…

A: The  limit below represents the derivative of a function  at a point .To give the equation for  and…

Q: g(t) = sin (Int) f(x) = ln(sin x)

A: g(t)=sin⁡(ln⁡t)

Q: Q2. Suppose that rsin(yz²); Apply appropriate chain rule to find W = x x= cos(t), y = t², z=et. to

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Q: Calculate p'(1) if p(x) = (f(x) + g(x))¹.

A: The given function .The aim is to find the value of the derivative .

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

A: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

Q: Find the differential of each function. (a) y = dy U 44 U-4 (b) y = (1+r5)-2 dy =

A: Givena) b)

Q: Find a function y(x) such that 10yy and y(10) = 8. Y x

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Q: To measure the length d of a lake (see Fig. 7), a baseline AB is established and mea- sured to be…

A: