The _____ of a long-linear plot is on a log scale A. X-axis B. Y-axis C. Both axes

Q: Find_lim (3x³ + √9x6 − 2x³ ) x118

A: If x → ∞ then y → 0 if x=1/y

Q: A chemical reaction converts a certain chemical into another chemical, and the rate at which the…

A: Let's find amount present initially.

Q: (dy/dx) + 2y = sin2x First-class homogeneous DE Second degree homogeneous O DE second order DE…

A: Given differential equation has function of x only on right hand side.  So, it is heterogeneous…

Q: 2. The position function of an object is given by s(t) = 2t³ - 3t² - 12t + 8 where t 20. a) Find the…

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 ↑em

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Q: Let f(x)={x^2+2x-1 Evaluate f (-3) and f(5) if x 0 Graph the function:

A: The given function is as follows: fx=x2+2x-1 To evaluate f-3, substitute x=-3 in fx and to evaluate…

Q: What is the integral of the function f(x) = sin 2x?

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Q: y" — y'=x

A: The given differential equation is: y''-y'=x So, we can also write as; D2-Dy=x The auxiliary…

Q: How would you define f(6) in order to make f continuous at 6? f(x) = x²-3x-18 x-6

A: The given function fx=x2-3x-18x-6 we have to find the value of f6, so that f is continuous at x=6

Q: Find f'(x) at the given value of x using the limit definition. (The limit as h approaches zero of…

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Q: Owners of a boat rental company that charges customers between $95 and $475 per day have determined…

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Q: Given that s(x) = - + x + 8 , what is the antiderivative of s(x)? (Do not include the constant C in…

A: We can find the answer as below.

Q: Show that the function f(x) = |x - 21 is not differentiable at 2. We have The right-hand limit is…

A: To show that the function fx=x-2 is not differentiable at 2.To find a formula for f' and to sketch…

Q: Determine the solution of the DE=0. z = c + √t a. b. z = c√t c. z=c-√t d. z = c/ e. Cannot be solved…

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Q: 3. Directrix is x = 2 and the focus at (-2, 0). Equation in standard form: Opening/Concavity Vertex…

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Q: v = fb an V (x − 3)(x x= y₁²³-4y+3 чуте x = 3 X b 2₁₁ × [ f(x)] dx 29 x= 1x 2 y

A: v=2π∫13y(1+(y-2)2dy v=2π∫13y(1+y2-4y+4)dyv=2π∫13(y+y3-4y2+4y)dy

Q: 3. A flag is raised vertically from a pole at a constant rate of 0.5 m/s. A point B on the ground is…

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Q: Solve each of the following differential equations given that each has an integrating factor of the…

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Q: 1. Eliminate the arbitrary constant. y² = 4C(x + C)

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Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 50x + 0.6x²…

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Q: Find the integrals: 1- xdx A. -2/3 (1-x)3/2 B. 2/3 (1-x)3/2 + C C. -2/3 (1-x)3/2 + C D. -2/3…

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Q: Evaluate 9x³ cos² (¹) dx ·f92³

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Q: a. Find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%; 95%; 98%; 99%. 50% y =…

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Q: (384)(340/340+50)

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Q: Use the graph of y=f(x) shown to the right to graph the following function g g(x) = -f Choose the…

A: see below the answer and explanation

Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: In a certain city the temperature (in °F) t hours after 9 a.m. was modeled by the function T(t) =…

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Q: Consider the following. f(x) = 5vx Find each indicated derivative. f'(x) F"(x) II f"(x) = F^)() II

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Q: (132) 3 WHAT DEGREE?

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Q: 7/2 4 cos 0 3+2sin -de 0 30

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Solve the given differential equation (2x + 4y - 1) dx - (x +2y-3) dy = 0 O 3x − y + 2 ln(x + 2y −…

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Q: It takes 15 min longer for John to wash clothes compared to his sister. If they work together, it…

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Q: 4- x - x² if x ≤ 3 if x > 3 Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: Find the derivative of each of the following. A) f(x) = 128x f'(x) = B) g(x)=x¹8x g'(x) = C) h(x) =…

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Q: Evaluate Lycos cos x sin³ x dx.

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Q: You are given that lim f(x) = −5, lim g(x) = 5, and lim h(x) = 4. x→a x→a x→a Find the limit lim [h²…

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Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

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Q: ph are given. y 2 -4 -6 2 4 X

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Q: A cup of coffee is removed from a microwave. Its initial temperature is 203 degrees. After exactly 9…

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Q: Simplify and write the trigonometric expression in terms of sine and cosine: tan x csc x=1/f(x)…

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Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

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Q: A company produces and sells 1440 tables each year. Each production run has a fixed cost of $200 and…

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Q: Problem 2 A Classify the critical points of the following function (in other words say if they are…

A: The given function is: f(x,y)=x2+y2-2y

Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 315∘ (x,y)=

A: A point (x,y) on the circle having radius r and corresponds to an angle θ is given by  (x,y) =…

Q: 43. Show that √(x) = {2²2 ²+ 2x, [x² +1, x ≤ 1 x > 1 is continuous and differentiable at x = 1.…

A: According to given data we can find the limit and derviative values in both side  And if  both side…

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). K=

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Q: 9 sine 2770 d²0 47⁰ [(@sos 1-1) but ] + [ ₁₂ (AP) m ² ] 7

A: Given; [M(L d(theta)/dt )2] + [Mg(L-L Cos(theta))].

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

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Q: Evaluate fcos³ (42) sin(4x)da

A: here is the solution:

Q: Find all values x = a where the function is discontinuous. if x 5 O a = 5 O a=0 O Nowhere O a = 0,5

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