By using the differential operator D and it's inverse, solve this equation: y"+3y'-4y=sin(3x) sin (3x) 14 Option 1 Ур Option 2 Yn = sin (3x) 14 sin (3x)

Q: Solve the triangle ABC if b = 127, c = 163, ZB = 40°. a = ZA = degrees; ZC = degrees; Assume ZA is…

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Q: Q2] (A) Find the general solution to ONLY ONE of the following differential Mations (1) (sec(y))2…

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Q: 3. Given u =(3, 10,-8) and v = (-1,6,4), a) find 3v--u

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Q: Find the differential of the function. u = 2x5 + 5

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Q: 5. Evaluate f cos 3x sin² 3x dx

A: The given integral,        ∫cos 3xsin23xdx

Q: 7- cos y dx + (x siny - cos²y)dy = 0

A: Note: as per guidelines we support one question in one request . kindly repost next question in next…

Q: By using the unlimited coefficients method, choose the correct answer for this equation…

A: Given

Q: 1. Find when y = In (-²). dx Express your answer in a single fraction.

A: The given function,     y=lnx5-2x

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A: The given points A(-1,3,7) and B(2,-1,6).

Q: Evaluate the 106 -20 (-7m+300)

A: We need to evaluate: ∑m=-20106-7m+300

Q: Ho Find (dy/dx) for: tanh-¹(x y) + e(x+y) 5 cos(y)

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Q: f(x) = х-2 ²-3x-4

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Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of…

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Q: Find cosh² (t) sinh5 (t) dt.

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Q: In Problems 1-5, let R be the region bounded by y = x² + 3, y = 2x, x = 0, and x = 4. Each problem…

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Q: -1₁ - S. -3√ 42² + +81(1+z)² dy .dz y = Z =

A: The answer is given below:

Q: Determine the center and radius of a circle given that its equation is (x + 10)² + (y − 4)² = 4 Use…

A: Explanation of the answer is as follows

Q: Use the alternate form of the derivative to find the derivative at x=c, if it exists. f(x) = x³ +…

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Q: Given functions m(x) = √√x + 14 and h(x) = x - 3, state the domains of the following functions using…

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Q: Factor the trinomial. 6q²-25qt+14t² Select the correct choice below and, if necessary, fill in the…

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Q: How would you find g (A) if a) g (x) = 1. b) g (x) = (x + 1)2 . c) g (x) =⌊ (2x + 4)/3⌋ Where A =…

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

Q: simplify 12cos4xsin4x

A: Simplify 12 cos(4x) sin(4x)

Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = √ ₁²₂²³² Sa dx…

A: Given problem:-

Q: Graph the logarithmic function g(x)=3+log (x-2). To do this, plot two points on the graph of the…

A: Draw the graph.

Q: Describe the difference between a discontinuity that is removable and a discontinuity that is…

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Q: For the piecewise function f graphed below, find the following. y-axis 6 5 4 3 2 1 78 9 10 11 12 13…

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

Q: (d) f(x)=√√x-8 (e) h(x)=√x+2

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Q: Find t for the following terminal points, 0 ≤ t < 2π (a) P(0, 1), = √2 2 (b) P ( - 1/², 1/²³). 1 = t…

A: Let's find t for the given  terminal points.

Q: Use the Lagrangian method to minimize f(x, y, z) = x² + 2y² + z² s.t. x² + 2y + 3z = 8 Find the…

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Q: D Question 15 Find the value of b such that the function f(x) is continuous everywhere. x² + a if x…

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Q: det Evaluate +4 in 3 -α a. 1.107 O a O b O C Od O e b. 1.249 c. 0.491 d. 0.393 e. none of the…

A: To solve the following integral using substitution

Q: Graph the rational function. -2x+2 -x+4 Start by drawing the vertical and horizontal asymptotes.…

A: This is a problem related to graph function. Based on the general formula and concept we will answer…

Q: Consider the function: sit > 5 f(t) = -{² 3t si 0 ≤ t ≤ 5 To calculate £ {f(t)} using definition you…

A: We have to find laplace of given function.

Q: Find dz/dt where z = 2xy - x² y² and x = 2t, y = t².

A: Given: Now,        z=2xy-x2y2  =22tt2-2t2t22  =4t3-4t6

Q: 1 50° || 5 1191 10% what is

A: Here we have to find the value a→·b→=?

Q: One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0…

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Q: a. Show that f has a removable discontinuity at x = 3. x² - 7x + 12 f(x)= x - 3 x = 3

A: Removable discontinuity

Q: 2 Within x² - y² = 16, y = 0, x =

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Q: Find the area of the region between f(x) = x² + 2 and g(x)= x - 1 on the interval [-2,2]

A: The functions are f(x)=x2+2  &amp;  g(x)=x-1

Q: Rewrite the expression without the log of a product, power or root. 108₁ (2¹3√10)-[ log3 =

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Q: Max was injured and can no longer work. As a result of a lawsuit, he is to be awarded the present…

A: Concept: We have the present value (PV) If the rate of receipt of revenue from time t=a to b is R(t)…

Q: consider the function f, such that f and f are continuous for t > 0 defined by: 0<t<7 f(t)= -68t…

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Q: Question Use the graph of f(x) shown below to determine each of the following limits. Provide your…

A: Find out the limits.

Q: 3. A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by…

A: To find the dimensions of the box.

Q: If c = 192, ZA = 79° and LB = 55°, b ; Assume ZA is opposite side a, LB is opposite side b, and ZC…

A: answer is in next step. please give a like !!

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Topic = Derivative

Q: Effect of Luxury Tax on Consumption Government economists of a developing country determined that…

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Q: 5

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Q: (a) 4 * -61 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)…

A: (i)  Critical number: f'(x)=0 when x=2 (ii) interval split: -∞,2,2,∞ f'(x)&lt;0 when x∈(-∞,2)…

Q: Let f (x) = log (x² - 2x) and g(x) = ²1. Which expression represents (fog)(x)? zlog (2²-27) log…

A: Given query is to find indicated function.