Determine if the relation defines y as a ône-to

Q: Let's consider the marginal cost function C' (x) = 0.02x + 28, where x represents the level of produ...

A: Given c'(x)= -0.02x+28

Q: 7. y = 4 e2x, 4th derivative 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative

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Q: 3. Find an equation of tangent line to the given function at the given point: f(x) = 1+ arctan(x/4),...

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Q: Evaluate the iterated integral by converting to polar coordinates. –x² (x² + y?j3/2 dy dx dr de =

A:  Solution is given below...

Q: Evaluate the triple integral of (1 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 4, ...

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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: Differentiate y = sin (x-y)

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Q: 15. Evaluate o" Sy" cos(x?) dxdy,

A: Given: I=∫0π∫yπcosx2dxdy   So, The region bounded by the lines x=y, x=π, y=0 & y=π is as shown b...

Q: 2 y +y こ メ Solve?-

A: According to Bartleby guidelines I can only answer the first question.

Q: Jse the given graph of y = f(x) to find the intervals on which "(x) > 0, the intervals on which f'(x...

A: Need to find the intervals on which f'(x)>0, the intervals on which f'(x)<0, and the values of...

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

A: We can solve this as follows:

Q: x+1 f(x) = In(*) 4V C. 2-x

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

A: Given problem:-

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: x+ 400р %3D2500

A: answer of given question is in step 2

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: 11. x² - y? = 7 12. x sin y - y sin x = 0 13. x cos y +y cos x = 0

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Q: Use the integral test to determine whether the following is convergent or divergent. Σ

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Q: |Test the series for convergence or divergence. n2 11. Σ (-1)"+1 3 n=1 n' + 4

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Q: Find the slope of the tangent line to the circle 4x² + 9y² = 36 at the point (0,2).

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Q: For the demand function q = D(p) = 343-p, find the following. a) The elasticity b) The elasticity at...

A: Given  elasticity    find q' 

Q: dx 2xy-3y2 _14. tan*y – 2 tan y +1 = x N. dy (y-x) _15. secy + sec x = tan y dx 2x dy y sin x-cos y ...

A: 14) tan2y-2tany+1=x(tany-1)2=x Dfferentiate w.r.t.xddx(tany-1)2=ddx(x)2(tany-1)ddx(tany-1)=12(tany-1...

Q: 6. f(16) = 63. VX Find f such that f'(x) = %3D %3D

A: Topic = Integration

Q: 9. Solve. a) 4+6(4 *)= 5 b) 2(5) + 2(5) = 4

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Q: Use mathematical induction to show that: 1 2 + 2 2 + 3 2 + ⋯ + ? 2 = (?(?+1)(2?+1)) 6

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Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel...

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Q: Average Life Span One reason for the increase in human life span over the years has been the advance...

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Q: a) Discuss the continuity of the function (- 2x² + 1 x > 2 f(x) = 1-4x x < 2 at the point x = 2 b) D...

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

A: The figure of the window is given by The perimeter of the window, P = 20 ft. Radius of the circular...

Q: dx %3D 1.

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Q: Find the center of the mass of a thin plate of constant density 6 covering the region bounded by the...

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Q: Determine whether the planes are parallel or identical. -7x + 4y – 9z = 5 14x - 8y + 18z = 9 The pla...

A: Here we have to determine whether the planes are parallel or identical.

Q: Compute the partial derivative: f(x, y) = sin(x® – 5y) fy(0, T) =

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

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Q: find the domain, equations of all the asymptotes, points of inflection, min/max points, concavity, a...

A: Given    Domain :

Q: The function f(x) = 2x + 1 is defined over the interval [2, 5]. If the interval is divided into n eq...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: y” − 10y’ + 50y = 0, y(0) = −3, y’ (0) = 1

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in...

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: – sin x show that - In |sec x +c ??? %3D COS X

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Given,            The vector z is z=&lt;3,2,-7&gt;.To find : Determine which of the vectors is are p...

Q: Assignment: Determine the derivative of the ff. functions. 1. y = 8x5 - 2021, 5th derivative

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Q: . Suppose that f(r) is a function given by for 0<r<7, f(z) = for -n <I<0.

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Q: How to find the antiderivative Integral 13x cos (-3x + 1) dx

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Q: _4. (x- y)? =x+ y - 1 _5. 2xy = 3 _6. -x x-y _7. _8. ye = In(xy) xe = In y 9. (y - 5)? = 8(x – 3)

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Q: Find the set of solutions for the linear system 3x1 + 4x2 + 5x3 7 || 5x2 + 8x3 -8 Use s1, s2, etc. f...

A: Find your answer below 

Q: Sketch the region enclosed by the given curves. y = V5x, y = y 4 2 -30 -20 -10 10 20 30 -4 -30 -20 -...

A: The given curves are y=fx=5x3y=g(x)=15x

Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: Use the Ratio Test to determine whether the series is convergent or divergent. (2n)! 16. У (n!)? 00 ...

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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