The production costs per day for some widget is given by, C(x) = 2500-10x-0.01x²+0.0002x³ What is the marginal cost when x=200, x=300 and x=400?

Q: An open top box, with a square base is being designed. Material costs 126/cm². What is the largest…

A: According to question,Given data,Material costs = 12 cents/cm2

Q: Use INTEGRATION BY PARTS to solve this integral. Specify all variables. Box the answer. 10 x³…

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Q: Question 3. The following figure shows the graph of the derivative f' of a function f, where f is…

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Q: B)Z = 1 + Ini, find |ZI.

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Q: Question 3 Match each equation with its graph V | r = 1 + 3 cos (30) Vr = 5 sin (²2) V r = 0 sin(0)…

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 1 the polor integral…

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Q: What is the exact value of cse?

A: Given.

Q: 2. f3dx 3. f*²4 dx

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Q: y = x42x³

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Q: 24 22. Find the volume generated by revolving about Ox the area bounded by the Ans. ra³. hyperbola…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Q.5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendicular on the plane passes through…

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Q: 3/Find the equation for the tangent plane and normal line to the surface Z=9-x² + y² at the point…

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Q: Which degenerate conic is formed when a double cone is sliced through the apex by a plane parallel…

A: Given question:- Which degenerate conic section is formed when a double cone is sliced through the…

Q: 4 3 2 1 -4 -3 3 4 --x-- -2 -3 -5+ In the above graph of y = f( x ), find the slope of the secant…

A: In the given graph of y=fx, to find the slope of the secant line through the points -3, f-3 and 1,…

Q: Find the exact value, if any, of the following composite function. Do not use a calculator. 3x tan…

A: Using fact that arctan(tan(x))=x

Q: | Find the values of a and b such that the following function [a(x − 1)² + b²x+2, if x 3, ious at x…

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Q: What is the domain for the exponential function f(x) = -5log(x-2)? OD: (xe R) OD: (xe R|x>-2) OD:…

A: Here we have to find the domain of the given function.

Q: Express the given quantity in the form a + ib. sin(-8i)

A: Given.

Q: A pediatrician records the age .x (in yr) and average height y (in inches) for girls between the…

A: 1. The linear function through 4, 38 and 8, 502. The linear function through 12, 14.3 and 40, 22

Q: TU The result of f fysinxdxdy = O 1 O -1 O 1.5 O -1.5

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Q: BA)Find normal line and parallel plane to the function f(x, y, z)=x√yz + 6 At point (-3,1,4).

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Q: Q4A) Find area bounded by y = 0, y = √2x-x² using double integration.

A: The required graph is shown.

Q: aduction to Calculus in Physics: ulus is a powerful tool used in all areas of physics. One of the…

A: When velocity become zero ball reached it's maximum height

Q: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: Q2: Find y(2) if D.E as give 2 dy+3y=sin 2x, y(0) = 6 dx Given

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Q: H.W: Evaluate the integral 1 1 +][20 1. 0 y x²exy dxdy

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Q: дz (B)If Z = f(x,y) , x = s² - t² , y = 2st . Prove that s дл 2 (s² + t²) of дх дz ||

A: Use total derivative and chain rule

Q: 2. Evaluate the improper integral S₂ (5. dx (5-x)4/3 or state that it diverges.

A: The given integral,      ∫28dx5-x43

Q: 3. Find the limit of the sequence 12n5 6n5 +47 :} or determine that it diverges.

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Q: 4 Find the linearization of the function f (x) = x² at x = 1. L(x) = Using this linearlization, ƒ…

A: f(x)=x4 at x=1 So, L(x)=f'(1)(x-1)+f(1)

Q: dy = y2-y that passes through the indicated points. dx Find a solution of x (a) (0, 1) y = (b) (0,0)…

A: The solution is given in the next steps.

Q: Find the length of the following two-dimensional curve. π 3 r(t) = (3 cos ³t, 3 sin ³t), for Osts- 4

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Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = 9 x+1…

A: Equate fx=fy and determine whether the given function is one to one.        fx=fy…

Q: The exponential function given by H(t) = 80,042.99(1.0484), where t is the number in 2040. The…

A: This question is based on substitution of values.

Q: 35e7%dz =

A: Topic = Integration

Q: Use the Chain Rule to differentiate the following function. f(x) = (3x² + (4x-5)4)7 f'(x) =

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Q: Find f''(x). f(x) = (x²+6) 6

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Q: Find the angle 0, in radians, in the given right triangle. The length of the side adjacent to 0 is…

A: I am attaching image so that you understand each and every step.

Q: A function f and a point P are given. Let 0 correspond to the direction of the directional…

A: Solve the following

Q: 11) Find the best upper bound for the error when using Newton polynomial P3(x) to estimate f(x) =…

A: Concept: The upper error bound using the newtons polynomial: Rn≤Mnn+1!maxx∈a,bx-x0x-x1....x-xnWhere…

Q: 1. Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis. f(x) = 4x-x² 3 2 3 1 2…

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Q: Solve by Gaussian elimination x-4y-2z = 21 24y + 2 = 3 3x+2y-z = -2

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Q: Question (5): Determine the intervals where the function f(x) = 2x³-3x² - 36x + 2 is increasing or…

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Q: dx dy Show complete solution solve: Bernoulli Differential equation 3 x = x² siny EXERCISE -(-siny +…

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Q: Use the Chain Rule to differentiate the following function. f(x) = (3x² + (4x-5)4)7 f'(x) =

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Q: and the local maxima, local minima, and saddle points of the function, f(x, y) = x³ + 3xy + y³

A: Topic = Derivative

Q: Determine the domain and range of the function. 4- 3 2- 1 -4 -3 -2 -1 2 3 Part 1 of 2 -1 -2- -3- 4 4

A: Solve the following

Q: 9. The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300+40…

A: Given.

Q: Find y' if y= y' = x5-4x²+4 2 X

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Q: Use Grammar's rule to solve the system x+y+z = 5 x=y+z=2 2x + y + z = 5

A: Given x+y+z=5, x-y+z=2 2x+y+z=5