Given the function y = −2x√/2 - 4x, find dy in any form.

Q: . Given TR = 45Q -0.5 Q², TC = Q³-8Q² + 57Q + 2, find out the level of : output at which firm…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 7/7/7/72 dy= (3x72xx)dx y =…

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Q: Determine the general solution of each of the following equations: (a) y" + 2y' + 5y = 3sin2x

A: a) Given:         y''+2y'+5y=3sin2x         5yx+2ddxyx+d2dx2yx=3sin2x This differential equation has…

Q: Let the position function of a particle be r = <t, t2,0〉. Find the tangential component of the…

A: Let the position function of a particle be r=t, t2, 0.To find the tangential component of the…

Q: Find the limit of s(n) as n → ∞. [n(n + 1)] 2 s(n) 1 [n(n n²

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Q: What is the max area of a rectangle placed between the x-axis and the function f(x)= -x^4 + 3

A: Answer : Maximum area should be 4.225 unit2 .

Q: Consider the function f(x) = 1-5x², -4≤ x ≤ 1. The absolute maximum value is and this occurs at x =…

A: Consider the function fx=1-5x2, -4≤x≤1.To determine absolute maximum and absolute minimum value of…

Q: b) Find the derivative function of f(x) = √5x - 1 using first principles.

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Q: 2 94

A: according to question function is f(x)=x+4 x=1,2,3,4 f(1)=1+4=5 f(2)=2+4=6 f(3)=3+4=7

Q: 2 √9x²-16 x² dx

A: We will use substitute method to solve the integration

Q: 2. f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives…

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Q: Find the exact average value fare of f(2)=√16-2² between 0 and 4, then find an exact number e in…

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Q: 4. y = x cos(In x) x²y" - xy + 2y = 0

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Q: 5t 1+3t 2. Pumping stations deliver oil at the rate modeled by the function D, given by D(t)= with t…

A: Given the oil delivery rate,          D(t) = 5t/(1+3t)  gallons/hour  Here 't' is in hours. We can…

Q: X 2 Find x² +1 -dx

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Q: y = x y=2-x2

A: The region is bounded by the curves y=2-x2 and y=x is rotated about x-axis. we have to fins the…

Q: Define g(x) to be the restriction of f(x) to the largest possible domain containing x=0 so that g(x)…

A: We have given f(x)=x-12+2You asked to solve only part(b). So we will solve part(b)In part(b) we have…

Q: 1. (x³ + xy²)y' = y³ Ssangen job10 2. (2x + y)dx= xdy 3. x³y' + x²y-y²= 2x4

A: Topic:- differential equation     Definition:- The order of a differential equation is defined to be…

Q: Evaluate the definite integral by the limit definition. L²(x² + 4) dx Submit Answer

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Q: 1. (a) Use the Euclidean Algorithm to find ged(125, 793). (b) Using the workings in (a), find m, n €…

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Q: Evaluate the Integral using the following values. -206 [³x² dx = 260, [°x dx = 10, [° dx = 2 (22-7x…

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Q: e) 9x³ + 6x² + 18x + 12

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Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

A: Here is the solution:

Q: Below is the function f(x)., 17+ 6 5 4 3 2 7 -7 -6 -5 -4 -3/-2 -7 -7 -2 -3 -4 -6 71 1 2 3 4 5 6 7…

A: Please see the below picture for detailed solution.

Q: Which of the following IS NOT parallel to HA A B H F E C D

A: Given figure:-

Q: Find the curvature x for the curve y = x - K = x² at the point x = 2.

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Q: Please correct me if i'm wrong. The points where f(x) appears to concave downward appears to be…

A: Given , the point where f(x) appears to be concave downward appears to be (-2 , 2.9 )

Q: lim 2-0 |3x-1| + 3x + 1| I

A: Given problem :- limx→03x-1+3x+1x

Q: The graph of f(x) is shown (see figure). 2X f(x) = (a) Find the following limits. L = lim f(x) = V…

A: According to guidelines, we must answer only three of the multiple subparts given. So, I answered…

Q: Consider y=√√x+1. (a) Find its inverse relation. Is this relation a function? Why? If the inverse is…

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Q: EQUATIONS 5y" - (y')4 = y³ sin x yy" + 2x = tan x )' - - 8² 8f + (9) St² - 8³ M dy³ dy² xt' + (t")3…

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Q: A.Given the following functions, find the general solution, the value of the arbitrary constant…

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Q: 2. If f: R→→ R satisfies f(1) = 3 and f'(x) ≥2 for all x's, how small can f(7) be?

A: Here we have to find the smallest value of f(7).

Q: Find the radius of convergence, R, of the series. R = 00 I = n = 1 xn n45n Find the interval, I, of…

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Q: Solve the following initial value problem for the unknown function y(x) a) y' = 2xy², y(1) == b) 2…

A: Topic:- application of integration

Q: Find the value of C so that y(t) = Ce2t satisfies the initial condition y(1)=1

A: Substitute t=1

Q: Find the values of x, y and z that correspond to the critical point of the function 2 = f(x, y) =…

A: The given function fx,y=4x2+8x+7y+3y2 To find the critical points of the function

Q: 04115

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Q: 6. What are the restrictions on the variable for a) x #8 b) x # 4 c) x # 2 d) None of the above 8 2x…

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Q: Use following se k Z K-I the integral test Series to decide converge

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Q: A piece of cardboard measuring 8 inches by 10 inches is formed into an open-top box by cutting…

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Q: The graph of g' is given below: W Notice this is the graph of the derivative of g not the graph of g…

A: Observe the given graph and answer the each part.

Q: Det er mine absolutely it each convergent, Conditionally convergent, you > k=1 the following is or…

A: Given ∑k=1∞coskπk

Q: Which of the following is a linear differential equation? O da-t{1+t²) sec² ædt = 0 O…

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Q: 6) Evaluate dx (x+1)(x² + 4)

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Q: Use Mathematical Induction to prove the following. 1 Show that 1+4+7++(3n − 2) + (3n − 2) = n(3n-¹),…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: help

A: Acute angle are measured from 0 to π/2

Q: y 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6 X

A: We can find the Domain and Range of the function.

Q: A cylindrical can without a top is made to contain 10,000 cubic cm of liquid. Find the dimensions…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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