How to find the Marginal cost if the cost function is equal to a number with only one x value. For example, if your cost function = 4x+8000, then your marginal cost would just be 4?

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (cos(x) if...

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...

A: given p(t) = p0e-0.00012097tand ivory tusk has lost 18% of carbon-14p(t) = po-18100pop(t) = 0.82p0t=...

Q: A local company makes two flavors of jam—strawberry and raspberry. Both flavors are sold through thr...

A: In this question The profit per jar of strawberry and raspberry has already been mentioned as $1.5 a...

Q: Which of the following figures is the odd one out? А. B. C. D. E.

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Q: п-1 Given the series n=1 Does this series converge or diverge? O diverges O converges If the series ...

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Q: sec® tan n³Od0 5ød® cos®

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Q: appropriate triyonome tric substitution, the integral can be trinsformed into which ohe of the follo...

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Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 lim f(x) = -2, X → 2- lim f(x) = 2 and f(...

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Q: The radius r of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of chang...

A: Given query is to find the rate of change of area of a circle whose radius is increasing with rate o...

Q: Consider the differential equation x?y" – 8xy' + 20y = 0; x4, x5, (0, ∞). Verify that the given func...

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Q: dy 6. Given that y(1) = -2 and dx = 3x + y, what is the approximation for y(2) if Euler's method is ...

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Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval [...

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Q: E. Find the cartesian equation of the following:

A: Given that: 94sin(2θ)=r2

Q: Find the general solution of the given second-order differential equation. y" + 9y = 0 y(x) =

A: Given equation, y''+9y=0 It can be written as, (D2+9)y(x)=0, where D=ddx  

Q: (In 1ºx+ 4lnx) *dx

A: Given: - The integral is, ∫(ln10x+4ln(x))8dxx To find: - The solution of the given integral. include...

Q: The indicated function y1(x) is a solution of the given differential equation. Use reductic -SP(x) d...

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Q: A spherical balloon is Inflated with gas at à rate of centimeters per minute. (a) Find the rates of ...

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Q: I. Certain functions are explicitly defined. Perform the indicated operations. 1. For the function f...

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Q: I. Find the limits of the ff by applying the limit theorems. 6. lim vx² + 5x + 2 1. lim 2021 x→12 x→...

A: 1. limx ~12 2021, function f(x) = 2021 is independent of x limit is 2021   2.  limx~7 4x - 3 putting...

Q: f (x) = ƒ a + bt + ct²dt 2 f'(x) = x²(2x³ – 3x) + 4x - and calculate: a +b+c=?

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Q: Consider the function given by z-y+2/7–2/9 se r+ y, x>0, y> 0 f(r, y) = k(x), se ¤ = Y n the express...

A: function is continuous

Q: Use this definition to find f'(a) at the given number a. f(x) = V5x + 1, a = 3

A: First we find out f'(x) then put x=a=3 in f'(x).

Q: Suppose that a room containing 800 cubic feet of air is originally free of carbon monoxide. Beg t = ...

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Q: Write a function based on the given parent function and transformations in the given order. Parent f...

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Q: -1< x< 2 3 Consider the function f(x) = x = 2 |4- x 2 < x < 3 1 x2 3 (a) Sketch f(x). (b) Discuss th...

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Q: Example 2: Use the definition to find the derivative of the function Solution:

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Q: Evaluate the definite integral da

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Q: (1+2 In æ)*

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute  .......

Q: Which of the following ordered pairs satisfy the inequality 3x+2y= а. (0,0) .Ь. (5,1) с. (0,2.5) • d...

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Q: x = 6t + 2, y = 5, z = -t + 1 x = 2s + 2, y = 2s + 5, z=s+1

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Q: If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3,...

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Q: Evaluate the following limits. lim (x – 1)(x² +1) 2 i. x→ 2 6+4x ii. lim x→-3 x2+1 iii. lim 3x3 + 27...

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Q: The distance of a particle from some fixed point is given by the following function. s(t) =t + 4t-3 ...

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Q: Find the general explicit solution to the differential equation xyy′ = x2 + 1

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Q: S (x5 –x³ – 6x) dx is the same as x²+2 A В (x³+3)dx 4x dx x2+2 D +x-- 8x dx x²+2 E F None

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Use the graph of f(x) = e* below to complete part a and b below.

A: Given:- The function is, f(x)=ex and the graph is, To find: - The value of limx→-∞ex

Q: Evaluate the integral | |3æ- - 1| dæ. Answer:

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Q: Find the average rate of change of the function over the given interval. y=3x+ 1%3; between x= 1 and...

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Q: At what point does the graph of 3x+y=0 and x-y=D4 intersect?

A: Given: 3x+y = 0 y = -3x And x-y = 4 y = x-4

Q: 2. Express in terms of sums and differences of logarithms In 2 3x³y (In 2 divided by 3x³y)

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Q: The function f (x) is graphed below. How many points on the graph represent a relative extreme value...

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Q: A cliff diver plunges from a height of 81 ft above the water surface. The distance the diver falls i...

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Q: (x) dæ + f(x) dæ - f(x) dx 2. can be written as a single integral in the form | f(x) dæ Determine a ...

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Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression b...

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Q: A telephone line hangs between two poles at 12 m apart in the shape of the catenary y = 50 cosh ) - ...

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Q: Consider the following matrices 1 1 -2 [ 1 | A В - 4 -3 1 -3 1 4 -3 1 2 -3 2 -3 4 Determins which of...

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Q: Evaluate the definite integral. (x – 4)° dz =

A: We just have to rise the power of (x-4) one more than the existing and divide by the same than apply...

Q: In the integrand is (A) True B) False

A: Topic = Integration TRUE   The integrand is , the function being integrated in either a definite or ...

Q: When you board a Ferris wheel moving counter- clockwise at a constant rate, your feet are 4 feet off...

A: Given function, h(t)= c± a cos(bt),  Where c is the initial height from the ground, a is the maximum...

Q: Find the general solution of the given second-order differential equation. у" - у' — 20у %3D 0 y(x) ...

A: Given that: y''-y'-20y=0