For f(x, y) = 2x3 + x²y2 - 5y3 + 10,

Q: Evaluate the integral. | sec (3x +2) dx sec (3x + 2) dx =

A: Let 3x+2 = t

Q: Find the derivative of the following functions using the definition of the sine and cosine function....

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Q: In the Wizard World, currency exchange is inconsistent. One Galleon from the Wizarding World is equi...

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Q: dy 1 dx xlnx x²Inx

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Q: 12x2 dx = x³ + 2

A: Where we have to solve the given integral

Q: 3. A circular pool with a radius of 6 feet has a border with a width of 1 foot. a. ) What is the are...

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Q: 61 Evaluate 6he integral. a 2. .2 3x

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Q: Determine the general solution for each given higher order differential equation or particular solut...

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Q: Solve the problem. Evaluate at (u,v) = (4, 1) for the function w(x, y) = xy - y 2; x = u - v, y = uv...

A: We will find the partial derivative. 

Q: Test the series below for convergence using the Ratio Test. 00 n5 0.8" n=1 The limit of the ratio te...

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 150 + 0.5x and R(x) = 2x -...

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Q: x?y? dy (xdy+ydx)%3D8y%

A: Let's find. 

Q: dy Use implicit differentiation to find dx 7xy + y = 9x+y

A: Given 7xy+y2=9x+y To find dydx:

Q: Let f(x) = x8 - 8x6. When the tangent line is vertical, what is the derivative of f(x)?

A: Here we will understand the vertical tangent line and we will find derivative of given function,

Q: (NAS1) Find the local linear approximation L (x)of the function f (x) = 5 – xåt x = 2 -

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Q: 1. For function z = f(x, y) where f(x, y) = 4 – x² – 2y², we compute that fa(1,1) = -2 and fy(1,1) =...

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Q: dx (V32 + 4)3

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Q: Find the inverse of the function f (x) = x-1 2x+3

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Q: 5. Find a polynomial with real coefficients that has the zeros 2,3i, and -3i. (Write it without comp...

A: zeros is given 2, 3i, -3i

Q: 1. Which of the following is logically equivalent to (-p V q)^(¬p Vq) ^(¬p Vr)

A: We want to construct a truth table first and then solve the problem.

Q: Use the Chain Rule to find dw for w = dt xe7,x = t2,y =1- t,z = 1+ 2t.

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Q: 3. The chemists say that between 0 C and 30 C, the volume V (in cubic cm) of 1 kg of water at temper...

A: The temperature at which water has minimum volume is T = 3.967°C

Q: 36) -24i + 32j

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Q: Find the indicated vector. Let u = (-3, -9). Find -4 u. O (12, 36) O (-12, 36) O (12, -36) O (-12, -...

A: We have to find out vector

Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x (D2+D-6)e2x=D2(e2x)+D(e2x)-6e2x=D(2e2x)+2...

Q: What is the amplitude and period of the function shown below? 7. 6- 5. 4- 3- 2- 1, 4 6 -1- -2- -3 -4...

A: The amplitude of a function is the amount by which the graph of the function travels above and below...

Q: Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 7y,   ...

A: Given that R=lnu2+v2+w2u=x+7y , v=4x-y, w=4xyTo find :∂R∂x,∂R∂yR=lnx+7y 2+4x-y2+4xy2∂R∂x=1x+7y 2+4x-...

Q: For t in years since 2010, daily oil consumption in China, in thousands of barrels, was approximated...

A: NOTE: Refresh your page if you can't see any equations. . here leading coefficient is positive and ...

Q: 6. Which of the following is logically equivalent to [(p V q)^(p V¬q) ^(p Vr)]→[(p V q)^(¬p Vq) ^(q ...

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Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

Q: x'cos x dx cos x Jo

A: LetI=∫0πx3cosxdxUse integral by partsI=x3∫cos(x)dx-∫∫cosxdx.ddx(x3)dxI=x3sinx-∫ 3x2sinxdx0π         ...

Q: What is the amplitude and period of the function f(x) = cos(6x)? Provide your answer below:

A: for f(x) = Acos(bx)amplitude is given by Amplitude: Aperiod is given by   p = 2πa  

Q: x3+2x dx x2+1

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Q: Consider the vector field F = (7x + 3y, 3x + 2y) Is this vector field Conservative? ( Conservative I...

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Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

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Q: Question 2 Let f (x,y) be a continuous function. Swap the order of integration in I = f (x, y) dy dx...

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Q: If f(x) is a linear function, f( – 3) - 4, and f(4) = 3, find an equation for f(x) f(x) = Question H...

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Q: 27e + 39e 18e – 10e- Find the horizontal asymptotes of the curve y: Note: Give the exact answer but ...

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Q: -2x Hint: sinh(2x) = y" - y = sinh(2x) 2 а. Find ye b. Find u'i & u'2 C. Find u1 & u2 d. Find Yp е. ...

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Q: Given the matrix 4 1 -1 0. 0 2 -1 (a) find its determinant; Your answer is : (b) does the matrix hav...

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Q: The temperatures T (in °F) at which water boils at selected pressures p (in pounds per square inch) ...

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Q: The rate of fingernail growth depends on many factors, but in adults nails grow at an average rate o...

A: The solution is given below.

Q: 2. Y = (5x³ + 2)6 ;y"

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

Q: (2x+xy)dy+2ydx=0

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Q: Find the derivative of y with respect to t. 1 y3D cot dy dt %3D

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Q: V 3x – 4 FINDTHE DERIVATIVE USING THE DEFINITION

A: Given: fx=3x-4   As we know from the definition of the derivative; The expression for the derivative...

Q: 2. Letgx-15x+2,-2,x+2, x0. Does the limx - Og(x) exist? If yes, give its value. If not, why?

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Q: -7 -4 A = -12 -3 -12 8. 50 has 1 = -3 as an eigenvalue with multiplicity 2 and 1 = 1 as an eigenvalu...

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Q: Find what value of c does L dx = 1 ? x4 Answer:

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Q: Find the values of c that makes the function continuous on R -cz² + c² ifz < 5 f(x) = 8c – 822 if æ ...

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