Find the profit function for the given marginal profit and initial condition P(x) Marginal Profit dP dx = -20x + 250 Initial Condition P(4) = $610

Q: Find dy/dx by implicit differentiation. /xy = xy +56

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Q: The graph of y = f(x) has f(5) = -1, f'(5) = -3, and f"(5) = 2. Which of the following might be a…

A: f(5) < 0 , therefore only 3 graph can be correct

Q: (a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane xy +…

A: x-y+2z=1 px0,y0,z0=5,2,4 Line through Point px0,y0,z0 is perpandicular to the plane x-y+2z

Q: Find LV LV₂ hpæp(¿h+¿x)uis hæ

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Q: Find d dx [In(3x + 4)]

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Q: Use variation of parameters method to solve y"+y' = ln x

A: Topic:- Differential integral Varaition of parameters is the technique to solve complicated…

Q: Determine the equation for the tangent to the curve y= sin(2x + π/3) at the point with x-coordinate…

A: Given

Q: Find the surface area of the figure. Round to the nearest hundredth of a unit. Let a = 1, b = 2, and…

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Q: Evalutate: limx→5 O-2 04 05 x-5 √x-1-2

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Q: Find the directional derivative of the function f(x, y, z) = cos(xy - z) in the direction of the…

A: f(x, y, z) = cos(xy - z)  v = -2i + 2k=<-2,0,2> point P(1, π/2, π/4)   Gradient

Q: 10) Use the Riemann-Rectangle program to evaluate the Riemann sum for f(x) = √√x+1, −1≤ x ≤ 5, with…

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Q: The average cost function for a particular business that sells toys is represented by 4(x) =…

A: To find the average cost for large amount of toys.

Q: Find the first partial derivatives of the function. f(x, y) = 3xy 11 11

A: Given: f(x,y)=3xy We are required to find: The first partial derivatives:fxfy

Q: Write an iterated triple integral in the order dz dy dx for the volume of the rectangular solid in…

A: To solve the following

Q: Consider the following vector field. 7 √x² + y² + (a) Find the curl of the vector field. F(x, y, z)…

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Q: Compute - [In(4x² − 3)] d dx Note to type in a fraction it should look like (a)/(b)

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Q: (A) Find the Laplace transform L{f(t)} in terms of s. If f(t) = 8t* + sin(2t) - e-st

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Q: Find the limit. (If an answer does not exist, enter DNE.) √x+2-9 1/18 lim x 79 x - 79

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Q: Find the area of the shaded region below.

A: fx=5x-x2, gx=x,

Q: 2. What is the area enclosed by x = √y, x=2-y and the x-axis?

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Q: Solve the given linear 1st order IVP. Give the largest interval I over which the solution is defined…

A: y'+tanxy=cos2x ,y(0)=-1

Q: Set up an integral for the area of the surface generated by revolving the given curve about the…

A:

Q: 1. Write the vector in components form. 1) RS where R=( 3,7) S = (8,-1) A) C) B) D)

A: Given, R(3,7) & S(8,-1)

Q: Let f(x) = ln(x5) ƒ'(x)= = f'(2) =

A: Let fx=lnx5 To find f'x and f'2.

Q: Evaluate the following integral. S16 16 sin x sin 2x dx

A: Evaluate the integral  ∫16sin(x)sin(2x)dx

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

A: Verify the conservative nature of vector field.

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: · Verify: |_ Sin³x - It cosx in = COS X

A:

Q: Solve the problem. 43) A rescue cable attached to a helicopter weighs 2 lb/ft. A 180-lb man grabs…

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Q: Evaluate the line integral, where C is the given curve. Sex xy¹ ds, C is the right half of the…

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Q: Encuentre la solución general pa dy = 4 cos(e²× )sin (e²x )e²x doc Para la barra de herramientas, p

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Q: Find the Maclaurin series of f(x) = Σ n=0 sin(x) x

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Q: x² and y ex from x = Find the area of the region between y = (Enter a numerical value. Round to 2…

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Q: Let f(x) = 3 cos(-9x) Determine the derivative of f. f'(x) = Determine the slope of f at x = -5.…

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Q: Let f(x, y) = -L²₁ fx(x, y) = fy(x, y) = 89 + 10 dt. Find f(x, y) and f(x, y).

A: The given integral equation is: f(x, y)=∫xy 89+t10 dt

Q: Use Lenz's law to answer the following questions concerning the direction of induced currents.…

A: The three figures are

Q: 23. S a+bx² /3ax + bx³ dx

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an =…

A: Explanation of the answer is as follows

Q: The average value of the function f(x) = 2x sin(2x) on [0,] is equal to 1. Select one: O True O…

A: The given function is;  f(x)=2x Sin(2x)

Q: dx 3+2x S-3

A:

Q: 1. f(-2)=-13 9(-2)=11 (f+9) (-2)=

A: given  f(-2)=-13  and  g(-2)=11

Q: Convert the value (10111011010001011101)2 to Base 10 using the equation method

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Q: Find the volume of the solid bounded by the xy-plane and the surfaces x² + y²=256 and z=x²+y².

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Q: Construct a polynomial function with the following properties: fifth degree, 5 is a zero of…

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Q: 3. The function v(t) = t² - 4 is the velocity of a particle moving along the x-axis, where t is…

A: Given :- The velocity function of the particle is vt=t2-4. a) The velocity function of the particle…

Q: d√√₁ (47 (4x + 2y)dA where R is the parallelogram with vertices (0,0), (5,-5), (-2,1), and (3,-4).…

A: Use the given transformation x=5u-2v and y=-5u+v to find the given prallallograme integration value.…

Q: rational function, where the degree of the numerator and denominator is 1, will always have the same…

A: Let the rational function with the numerator and denominator of degree 1 be, g(x) = ax + bkx + l…

Q: Reverse the order of integration and then evaluate the integral. {{ sin y y - cos 9 cos 9 1+ cos 9…

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Q: Let f(x, y) = (xy - y) cos(y) x² - 2x + y² + 1 does not exist. Find the limit of f(x, y) as (x, y) →…

A: We need to find limit limit(x,y)->(1,0)f(x,y)=limit(x,y)->(1,0)(xy-y)cos(y)x2-2x+y2+1

Q: Solve for x: 53x+6 X = = 625

A: