In each of the following, eliminate the arbitrary constants. 1. f(x) = c,e* + cze2*

Q: Find derivatives of the following functions: y= (4x + 3)/In[2x* +3x -s] y= 3(e" +e*Xx² - 4)

A: ANSWER :

Q: 4. Draw the following graphs: a. y =1-cos(2x) b. f(x)=1 x2 if x<1 3-x if x 21 d. f(x)=logx c. y=2e*

A: Part(a) The graph of y=1-cos2x is

Q: 3. Verify that the following functions are solution of one of the equations in part 1 and match the…

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Q: Solve the following ODE 3 y' + • y = 0 with initial condition y(1) = 2 -

A: Write y'=dy/dx and then use variable separation.

Q: Solve the following nonhomogeneous ODES. (a) y" = -4y+ e2";

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Q: Which among the choices has the first derivative that is e (2x+1) (x +3) ? Of(띠) 3D + 글z2 + 2x-8 O…

A: given function has first derivative is f'x=2x+1x+3    f'x    =2x2+7x+3

Q: I. Solve the following problems on functions. 1. If g(x)= v36 - x² , find g(0), g( - 3), g(=), g(2y)

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

Q: Use the method of Substitution to integrate the following 5s * e^(s^2+4)

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Q: _y = In(e6x) бх

A: We have to find out the first derivation of given function

Q: Find the indefinite intergral of 1/(e^x -1)

A: To Find the indefinite intergral of 1/(e^x -1)

Q: This does not make alot of sense. If applying the definition how does the e^-st get moved outside as…

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Q: Find the derivative of the following function. y = In(6x² – 7x) – 4x А) 18х? -7х x(6х* - 7) В) 1 - 4…

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Q: 4. Suppose the following functions are a general solution of: y(4) + a3y/" + azy" + a;y' + a0y = 0

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Q: NO.4 DE. 2.1 In the following problems, eliminate the arbitrary constants by any of the three…

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Q: y = c1 + Cze¯* + C3xe°

A: The given equation is y=c1+c2e-x+c3xe-2x....(1) Since there are three arbitrary constants c1, c2,…

Q: 1. x² – 4y? = 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 11. Suppose that the equation g(x, y, z) = 0 determines z as entiable function of the independent…

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Q: c) h(x) =(5x-1) 12x² – 6 d) m(x) = (4x² – 9x} %3D

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Q: Given f (k) = In(k2 + 2k + 1) – 3ke + 6k2 – 9k a. Using the properties of derivatives, solve for…

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Q: 5. Use the chain rule to find the derivatives of (a) y = log; V4 + 1 (b) y = (x – e-")²

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Q: What is the decreasing and what is the constant

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Q: x²Sin(x) y = In 2x + 1 9.

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Q: 6. y = c¿e™* + c2e* Cze*

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Q: 8. Solve the following LP algebraically. a. Max Z= 150X+ 160Y subject to: X+Y 20 Y>15 X, Y>0

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Q: 7. Find the first derivatives of each of the following: a. y= 10x³ – 4x² + 6x – 12 b. g(x) = x'e" c.…

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Q: In each of the following, eliminate the arbitrary constants 4. xsiny +x*y = c

A: As many questions are given, So I will Do only first Question: As we observe that There is only one…

Q: Solve the following evaation for a 2メ+S X +1 e 3De

A: We have to find the value of X.

Q: Work out the following | (2x + 1)e² -z da =

A: we use substitution method to solve this integration

Q: A- Find the integrating factor of the following D.E 2

A: a) Here we have to find the integrating factor of given differential equation:-  We have,  Compare…

Q: •1 1 g(x) = dt 2x In(t + 1)

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Q: Solve for the derivative of the following implicit function. x2 4. 9. y2 : 1 4

A: Given equation is x29+y24=1

Q: Find the first derivative of each of the following: a. y= 15x + 4x° – 6x + 8 b. f(x) = x³ e* 3 c.…

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Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

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Q: In (4x+7) 1. Find the derivative of f(x) 5x e 10-18 x? Evaluate the integral: 5x-3x 5 6x*-3x?…

A: Please see the explanation below

Q: Find the derivative of the following: 1. D, (x³) 2. D, (5x2) 3. D, (x – 2x*) 4. D, (x-2)(2x +3) 5.…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: If f(x) = e + In(7), then f' (x) =

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Q: Solve the following D-E 2) x- 2y = x³cos4x dx

A: Topic- solution of linear differential equations

Q: Compute the derivative of the following: 3 g(x) = 5 2x'x 4.

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Q: Find the first and second order derivatives of the following function: In (25x)-a* q(x)=…

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Q: find the indicated derivatives. dp/dq if p = q3/2

A: Given, p=q32

Q: where k is a constant > 0.

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: 3. Which of the following functions, 2 x(t) = 1, x(t) = ²/₁ is a solution to the DE x'= -x²? x(t) =…

A: As per our guidelines we are allowed to solve only 1 complete question. kindly repost others. THANK…

Q: Find the second derivative of each of the following functions. s=1/2t-1 y=x2tan2(3x

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Q: (d) Determine the convolution of the following two continuous time functions. x() %— е "и(),а >0 аnd…

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Q: A. Find the derivative of each of the following: 1. (Зх- 7)12 2. V5x + 3 3. (3-х)4

A: Given : 1.  (3x -7)12  2. √ (5x +3) 3. 1 / (3-x)4  Now we find derivate of these all Equations

Q: if f(x) = e 2x   find a formula for f n   x

A: Given: The function f(x) = e2x   To determine: The formula for f n(x)

Q: In each of the following eliminate the arbitrary constants.  1. y=cx+c²+1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Solve the following linear independent and Wronskian. 2. Are the functions y, = e* and y2 = x…

A: Here we have to determine whether the given functions are linearly independent.  We have,  y1=ex…