200% 1. Write an equation for the line that passes through the point (3,4) and is parallel to y = - 2. А. у34 B. y= -4 С. у33 D. y= -2

Q: Find the derivative f'(x) of the following function f(x). f(x) = sinh (x + 8x*)

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Problem 2. A Bernoulli differential equation is one of the form dy + P(x)y= Q(x)y" (*) dr Observe th...

A: First order differential equation : Consider the first order differential equation             dydx+...

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Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: Consider the following indefinite integral. 7x3 + 9x2 + 5х +6 dx x4 + 1x2 The integrand has partial ...

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Q: 2. Answer C/DC a. lim f(x) x2 b. lim f(x) X-2+ c. lim f(x) -3 -2 -1 -1 X-2 d. lim f(x) -2 X-5 -3 e. ...

A: limx→a f(x)=L if and only if limx→a+ f(x)= L=limx→a- f(x).

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length ...

A: NOTE: Refresh your page if you can't see any equations. . Natural Length=24 cm=0.24 m Extended Lengt...

Q: Evaluate the following indefinite integral + 1)Vx – 2dx

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Q: Find the solution to Integro-Differential Equation.

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Q: Solve the given differential equation by undetermined coefficients. y"-8y'+16y = 24x+2

A: The given differential equation is y''-8y'+16y = 24x+2 We have to solve differential equation by met...

Q: Find the derivatives for the following function: a. Z-f(x, y)-6e*+4x*y- 8lny ze Find the partial der...

A: z=6ex+4xy-8lny firstly differentiate partially w.r.t x∂z∂x=6ex+4y(1)-0∂z∂x=6ex+4y

Q: du/dv = (3u-v)/(u+v) partial

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Q: lim f(1) = 1, lim f(z) = – 00, I -2 f(- 2) = 1

A: Please see the below picture for detailed solution. 

Q: ū = (-/3, –1) and w = (1, /3) E. |

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Q: 11) sin-1

A: Note:- according to the company policy we can attempt ?️ only one question so please upload the next...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

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Q: valuate and solve the linear differential equation (D5 - 15D3 + 10D2 + 60D - 72) y = 0

A: Given: (D5 - 15D3 + 10D2 + 60D - 72) y = 0

Q: Consider the function f(x) given by the graph below. y -5- f(x) -5 Determine the limits. If a limit ...

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Q: Let F(x) = f(x') and G(r) = (f(x))". You also know that a 8, f(a) = 2, f'(a) = 13, f'(a') 10 Then F ...

A: Follow the procedure given below.

Q: Consider the following. y = tx2 + t8x Find dy dx dy dx dy Find dt dy dt

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Q: Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is ...

A: We have to find out

Q: Question 3 The slope of the tangent line to the graph of 4x2 + cx – 2e" = -2 at (0, 0) is 4. Give th...

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Q: Solve for x in terms of k. log, a + log,(x + 5) = k. x = Find x if k = 10.

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Q: 1 5 e dx 2メ

A: Given: I=∫15e2x2xdx We know that; ∫c·fxdx=c·∫fxdx Where, 'c' is the constant. And ∫eax+bdx=eax+ba+C

Q: dx Evaluate: a) - x² +4x + 20

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Q: 2.2 2.4 | g' (x) | 25 49 81 Let y = g(x) be the particular solution to the differential equation = g...

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Q: Solve the following DE, using Separable method. y'In ly| +x*y =0.

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Q: Wnete to y=2x=1 equotion for Hhe line Pacallel the Doinit 4,9) an and

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Q: 11) sin-1 2.

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Q: Divide the numerator and denominator by the highest power of x in the denominator and proceed from t...

A: NOTE: Refresh your page if you can't see any equations. . factor out x2

Q: -1 Cos cos

A: Given query is to find the value of indicated trigonometric functions.

Q: ý dy マ/2 y+16

A: Given that: ∫y2dy(y2+16)3/2

Q: Find the optimal Solution by 2. Two-Phase method MAX Z = 5x1 + 9x2 - 18x3 subject to 5x1 + 16x2 + 5x...

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Q: Ex , Prx , fy, fyy, Pxy, fyx F(X, y) = %3D x +y

A: Given: f(x,y)=1x+y

Q: Analysis: Real-life Applications Derivative is defined as the rate of change of a function with resp...

A: solution:-N(t)=2500(1+2t2)the rate change of the number is:N'(t)=ddtN(t)= ddt2500(1+2t2)=2500ddt(1+2...

Q: Evaluate the definite integral. 4. x³ + 1 dx

A: ∫122x2x3+1dx  

Q: g(æ) = t -t dt g'(4) =|

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Q: fx)ニxX-3 aニy

A: f(x)=xx-3 , a=4

Q: Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = 2x2 + x; a = -8 ...

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Q: Differentiate the function. f(x) = x³(x + 4) f'(x) =

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Q: Find values of c, if any, at which 2x f(x): 15 x + 7 is not continuous (enter as comma separated lis...

A: The rational polynomial function y=fxgx is continuous everywhere except such 'x' where g(x)=0. Given...

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Q: Evaluate f5(x?e-2a*+1 + 3)dx

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Q: x? – 3 - 3 dx x +1 Evaluate

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Q: Evaluate the limit using the appropriate properties of limits. 4x2 - 7 lim 3x + x - 3

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Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

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Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 < x...

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Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

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