Sketch the region enclosed by the given curves and find its area. 1 y x > 0 y = x y 4 | || |8

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A: We have to find the differentiations of the give function and find y101.

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Q: Find dy/dx of the function below. 2x³ + e^(2y) = cos3y

A: 2x3+e2y=cos(3y)Differentiate with respect to x6x2+2e2ydydx=-3sin(3y)dydx2e2ydydx+3sin(3y)dydx=-6x2(2...

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A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

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Q: 1which Statement is true? A incn) absolutely. Sinc) converges combergeng because converges lim. Siっc...

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Q: Consider the following function. f(x) = x5 – 2 (a) Find the inverse function of f. f-1(x) = %3D

A: The given function is f(x)=x5-2 we have to find the inverse of the function of f. f-1(x)=?

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Q: Calculate the following double integral, where R = [1,3] × [1,2]: 1 dA. 1+ x + y R

A: Given÷

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Q: 2 = In (e*x³) 12.

A: As per our guideline we can answer only 1 question so kindly repost the remaining questions specifyi...

Q: Finding the Domain and Range of a Function: f (x) = Vx - 3x + 2 Domain: all x# ±2 Domain: all x# ±3 ...

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Q: The radius of a circle is increasing at the rate of 4 cm/s. How fast is the area of the circle chang...

A: Given,           The radius of a circle is increasing at the rate of 4 cm/s. And the radius is 5 cm ...

Q: Evaluate the integral. 2V3 dx 4 V 16 – x2

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Q: The height (in feet) of a rocket launched from the ground is given by the function ft) = -162 + 160t...

A: The given function is  f(t)=-16t2+160t. 

Q: Evaluate: /sin(Vx)dx 2/x sin(/x)+2cos(/x)+ C B2sin(x)-2/xcos(x)+C 2/xsin(x)-2cos(x)+C D None of the ...

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Q: A pelican flies 26.5 kilometers in 3 hours and 20 minutes. Find the unit rate.

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Q: 8. ye = In(xy) 9. (y- 5)? = 8(x – 3) _10. 2x – xy +y = 0

A: We can solve this as follows:

Q: For x²y = y³x + 5y + x, find dy/dx by implicit differentiation.

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Q: Find the derivative of the foll owing functions. Show complete solutrons, including trigonometrie id...

A: As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   And ddxcoshx=sinhxddxtan...

Q: Evaluate the iterated integral by converting to polar coordinates. (Round your answer to four decima...

A: In Polar Coordinate ,        x= r cosθ   and    y = r cosθ and      dx dy = r dr dθ

Q: Problem : Find the derivative of the series 16x4 2x 4x2 8x3 32x5 f(x) = 1+ Also 1! 2! 3! 4! 5! show ...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: Consider the following graph. y 10- 5 X -3 -2 -1 2 3 -5 -10 Identify the parent function represented...

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Q: Determine whether the following series converges or diverges. n+9 Input C for convergence and D for ...

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Q: 5. Explain how you can differentiate the tangent function using an identity. Find the derivative of ...

A: Given query is to find the derivative.

Q: Suppose f(x) = [ 6t² /1+t° dt .

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Q: The position function of a particle is giyen by s(t) = (t – 1)²(t – 3) , where t is measured is seco...

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Q: Let f(x, y) (a) Calculate || Vfp||. (b) Find the rate of change of f in the direction V fp. (c) Find...

A: Here we will find A, B, C ;

Q: 4. y = 5 cos 4x, 3rd derivative 5. y = 3 tan 3x, 2nd derivative %3D 5. y = 6 csc x, 2nd derivative

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Q: V3x2 + 6 f) lim x+0 5 - 2x g) lim 4x2 -х + 2х x--0 x2 h) lim x-+0 1- cos2 x tan 7x i) lim x-0 sin 3x...

A: ' According to the guidelines issued by the company we are supposed to answer only first three subpa...

Q: Determine the equation (of lowest degree possible) for the graph shown You may leave your answer in ...

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Q: Determine the solutions to the following problems: dP = 2P – 10 dt dB — 0.001В — 200, B(0) — 100000 ...

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Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation...

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Q: Consider the following function. f(x)= In(x)/x a) Determine the interval(s) where the function is co...

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Q: Use the Integral Test to determine whether the series is convergent or divergent. Σ n= 1 Evaluate th...

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Q: Find the equation of the plane that passes through the point (2, 1, 7) and is tangent to the surface...

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Q: Find dy/dx. 1.y = 5ain a %3D

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Evaluate the following indefinite integral. 1+ 4t° -dt 11t

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Q: PROBLEM [ B6 (b) ] : Solve the first order dy = 9 x²e=³, by using dx differential equation Variable ...

A: We have to solve the first order differential equation dydx=9x2e-y by using variable seperable metho...

Q: Find a polynomial function that has the given zeros. (There are many correct answers.) 0, -8, –9 f(x...

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Q: Determine whether the geometric series is convergent or divergent. n=1 (-6)n - 1 O convergent diverg...

A: Let's find. 

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.138 and y = 0.9...

A: The given function,       Fx=sin3xcos5x

Q: Use the given graph of the polynomial function to complete the following. (a) The x-intercepts are (...

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Q: x2 + x + 1 xp Jo (x+1)2(x + 2) 2]

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Q: The population of a country was 5.201 million in 1990. The approximate growth rate of the country's ...

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Q: Calculate the derivative using implicit differentiation: dw x'w + wt + wz² + 4yz = C dz ||

A: Given problem:-

Q: 1. Which of the following are trigonometric identities? Select all that apply sin e tan 8 = cos e co...

A: Find your answer below