Differentiate each function with respect to x. 34) y = cos -4x* + 3

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A: Given:      curve y=x-2x+12x-1            

Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

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Q: 14 70 and * >0, then x >4(0). which theorem supports this statement If a >6 and c> o, then c9 > c6. ...

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Q: Solve the following and show your complete solution Find Maclaurin Series Expansion and Compact form...

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Q: Which of the following equations can be solved using the method of undetermined coefficients?

A: Given that: 1. y''+6y'+9y=xcosx2. y''+4y'+5y=5x-2sinx3. y''+3y'+2y2=2xcos(3x)

Q: {intersection of [2,4) and (3,6]} oni c. (3,5) di [3,5) (4,5) Determine int s. Let 9. (3,4) union (4...

A: find the interval

Q: Applying variation of parameters to the DE: y"- y = e + e-", | we get the following system of equati...

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Q: For a given function, F(t), the Laplace transform is obtained by integrating the integrand e-st F (t...

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Q: C. Find the third derivative of the given function/s. 3. у %3D х (2х + 1)2 4. у %3D (2х— 1)(х + 2)2

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Q: dx -x - e

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Q: Evaluate the given indefinite integral. Indicate u, n, and du. ((e-4)de (0+5)

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Q: 3xy? dx t (3x?y t qy% )dy

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Q: The differential equation 2 d y + x dæ3 1(4) - 5y = e is: dx O linear and third-order O non-linear a...

A: Given differential equation is: x3d3ydx3+xdydx2-5y=ex  

Q: 70ot(*) e*dx e2x +1

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Q: Determine the principal value of argument of the (1+i)20

A: The given argument is: (1+i)20

Q: 11-14 Sketch the direction field of the differential equation. Then use it to sketch a solution curv...

A: Consider the differential equation.  ...... (1) Need to sketch the direction field of given differen...

Q: 3t L cos 2tdt 1 s- 3 (s – 3)? + 4 s[(s – 3)' + 4] O A.) O B.) s- 3 4 (s – 3) + 4 s[(s – 3)? + 4] C.)...

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Q: dy For dx Vy + 2x – 5 2. the substitution m = y+ 2x converts it to which of the following separable ...

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Q: Given the equation f sin“ x dx If you integrate the given equation, the answer is

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Q: Construct an appropriate triangle to find the missing values. (0° ses 90°, 0seS n/2) Function 0 (deg...

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

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Q: Determine the Laplace transform of y’’ given y (0) = 4 and y’(0) = 2

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Q: Find the inverse laplace transform of F (s) = 3se-s s2 +16 f (t) = 3 sin(4t + 4)u (t – 1) f (t) = 3 ...

A: Given:       Fs=3se-ss2+16      ft=L-13se-ss2+16 Apply inverse transform rule:   if L-1Fs=ft then L-...

Q: 3 9 Bruce is 7- inches taller than Tim. If Bruce is 52 inches tall, what is the best estimate of Tim...

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Q: Find the volume of the parallelepiped defined by the vectors й%3 (3, —1,4), ѣ —D (2, 1, —2) and й %3...

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli eq...

A: We need to solve DE.

Q: 1 Evaluate: cos 2T dT e C. S-3 (S-3)+4 (5-3)² +4 b.5-3 d- 24 s[es-3)°t4]

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Q: The rate of accumulation of salt in the tank is equal to: O the product of the concentration and the...

A:   The rate of change of salt in the tank = [rate in] − [rate out].   

Q: [(30oshm +e coshm sinhmdm +eoshm 4.

A: First we put cosh(m)=u and differentiate both sides with respect to u and solve it 

Q: 3) The magnitude of a velocity vector is speed. Suppose that a wind is blowing from the direction N4...

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Q: a. Find the derivative of the vector function 7(t) = t+i+tj+tỉ. b. Use the result of part (a) to fin...

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Q: The general solution to (D4 – 4D²) y = 0 is O y = c1 + c2x + c3x?e=2# + C4x³e2 + C4x° e2a -2x O y = ...

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Q: Identify the graph corresponding to the following function (t > 0): y = tu (t – 1) - tu (t – 3) 1 + ...

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Q: To make a potato salad, a chef cooked some unpeeled potatoes in boiling water at 100°C. Once the pot...

A: The correct answer is option (A) i.e. t = 11.4 minutes

Q: Given a differential equation with certain conditions y (to) = or yfk) (to) = Yk = Yk' the largest p...

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Q: 6. Determine the Laplace transform of y" given y (0) = 4 and y'(0) = 2. * O A.) (s^2)[ y (s)] – 4s +...

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Q: dy If the differential equation dx is solved via the substitution z = u-, the resulting equation is ...

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Q: Solve the differential equation with appropriate method. Finalize answer in terms of x and C combine...

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Q: Which of the following is a possible solution to y" +k²y = 0 %3D y = ekz O y = 2 cos kx y = cos k² x...

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Q: A chemistry student heats a beaker that is at room temperature (30 ° C)by inserting it in an oven th...

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Q: y = sin(x): x ) is a solution of °y" +y = 0 %3D y"-4y = 0 y" +4y = 0 °y"-y = 0

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Q: x2 dx + y(x – 1)dy = 0 %3D

A: The answer is mentioned in below step

Q: If F (t) = L¯* {?+10s+34 2s+10 s2+10s+34 1nd F (T) O 2e3 -2e-37 2e5 2e-5T

A: As we know that, The property for the inverse Laplace transformation; If L-1Fs=ft then L-1Fs-a=eatft...

Q: A voltage source E=5V is connected in series to a capacitance of 1 x 10-6 farad and a resistance of ...

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Q: Find L{(1 – t) (3 + 2 sin 5t)} . 3 2s 10s - 82+25 (s2 –25)² - 10 20s 을 + - - s2+25 (s² +25)² 3 3 10 ...

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

A: Given:    mg = 2    s = 1.5 inches = 1.5/12 = 1/8 feet     g = 32