1. Зл 2 π 2 cos² 4x dx

Q: 6. Using the method of variation of parameters, what is the form of a particular solution of (D³…

A: The given DE is: (D3-4D)y=x-3e2x Suppose it has y1, y2, y3 are solutions to the associated…

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

Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 4 + 4u + t…

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Q: The velocity of a (fast) automobile on a straight highway is given by the function to the right,…

A: Answer: As per guidelines we can do only first 3 subparts of question and solution is as given…

Q: By power series, solve the ODE y' - 2xy = 0.

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Q: What is the gradient of the curve y = x^3+4x^2-6x+3   at the point where x=-2 ?

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Q: 38. 32 (-1)k k=0 (2k + 1)³

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Q: Find the absolute extrema for the given function on the interval [1.2, 3.7]. Write your answer in…

A: The given function is fx=5x4ln x on the interval [1.2, 3.7] we have to find its absolute extrema.

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Q: uppose that it snows in Greenland an average of once every What is the probability that it is…

A: Topic:- probability

Q: Find the zero(s) at which f “flattens out”. Express the zero(s) as ordered pair(s). Please tell how…

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Q: Find the displacement of an object on the interval 0 ≤ t ≤ 6 if its velocity is v (t) = 4t -√√t

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Q: Evaluate the following limit using L'Hospital's rule. lim (e5z - 2.x) (+) I+0+

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Q: Find the total change of f(x) between x = 1 and x = 3, when df = 3x² + 2x

A: NOTE: Refresh your page if you can't see any equations. . here we have the given values of x are…

Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

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Q: The base of a three-dimensional figure is bound by the graph x = y3 on the interval [1, 2]. Vertical…

A: answer is in next step.

Q: II. Solve the given linear differential equation showing the details of your work. 1. (D²…

A: The given differential equations are;  1) (D2-3D+4)y=16x-50Cos2x 2)(D2-3D+2)y=Sin(e-x).

Q: The rate of change in the number of miles s of road cleared per hour by a snowplow is inversely…

A: The objective is to find s(h).

Q: If cos(x) = (in Quadrant 4), find 19 21 Give exact answers. sin(2x) = cos(2x) = tan(2x) = = Submit…

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Q: On which of the following intervals is the function g(x)=e-200x² concave down? ○ (-5,5) ○ (5,6) (6,…

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Q: Problem 12. Find the absolute maximum and absolute minimum values of the function over each of the…

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Q: Question 3 dz Find the partial derivative for the function z = 20y²√x. dy C ay az ay N GE - 201 az =…

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Q: 6 13 Find the critical points of the function f(1) = 26x7 +17. Enter your answers in increasing…

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Q: Determine the area bounded by y²=x+4 and x-2y+1=0 A B E 27 - 2 32 - 3 27 - 5 sq. u. 34 5 sq.u. sq.u.…

A: y2 = x +4  x- 2y +1 = 0 for find the area bound by this curve  we have to find common point of curve…

Q: Sx cos²xdx

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Q: 4. Geometric and non-geometric series. Determine the sum of the following series a) 2+ 2 + ² / + 2…

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Q: Find the fourth derivative of f(x)=3-1.

A: To find the fourth derivative of the function: f(x)=3x-1 Now that the nth derivative of the function…

Q: Evaluate the geometric series or state that it diverges. Το 198 Σ k = 0 56 k Select the correct…

A: topic - geometric progreesion

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: answer is in next step.

Q: Let R be the region bounded by y=x², x=1, and y = 0. Use the shell method to find the volume of the…

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Q: 1. You are given a vector function A = Îx, (a) Sketch this vector function in the x-y coordinate…

A: Calculus

Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 8x³ +84x² + 240x. g'(x) =…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: The base of a three-dimensional figure is bound by the line y = 6 - 2x on the interval [-1, 2].…

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Q: se the ALEKS calculator to evaluate each expre und your answers to the nearest thousandth. o not…

A: Topic = Algebra

Q: Consider the following. u = 3i + 3j v = -3i+j+ 5k Find u x v. Determine if u x v is orthogonal to…

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Q: In Problems 1-5, let R be the region bounded by y = 4-(x - 2)² and y = x. Each problem will describe…

A: Given: Let R be the region bounded by y=4-x-22 and y=x. To Find: 4 To write an integral expression…

Q: Use the Laplace transform to solve the following initial value problem: y" +9y= cos(6t) y(0) = 0,…

A: given y''+9y=cos(6t) taking laplace on both sides  L{ y''+9y}=L{cos(6t)} L{y''}+L{9y}=L{cos(6t)}…

Q: According to a study, each additional year of education increases one's income by 15%. Therefore,…

A: Given, 1.15x = 2

Q: Consider the function. 8(x) = x + 1| - | x − 1| Estimate the following by evaluating fat x-values…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

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Q: Find the general solution to the differential equation. y' = 2xy2 y =   PLEASE SHOW STEP BY STEP

A: Find the general solution to the differential equation. y' = 2xy2 y =

Q: 09 Graph the functions in Exercise (1) 4 (ii). Then answer these quodions (a) what are the domain…

A: Given data:- The below Function are given, (i); fx=1-x20≤x<111≤x<22x=2 (ii); fx=x-1≤x<0 or…

Q: Find the solution to y' =    2y satisfying y(0) = 15.

A: Solve the following

Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Given that , Point =14,-12 ,7 and line x2=y-4-1=z Find the equation of the plane.

Q: lim I-4+ lim Х- 4 3x (x+4)8 3x (x + 4)8 II

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Q: Find the solution to y' =    2y satisfying y(0) = 15

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Q: dP dt 3) Separate the differential equation, then integrate both sides. Suppose and P(1) = 4. Answer…

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: x = 5. Use the difference quotient (Newton's quotient) to find when the function f(x) = 2x² - 4x +…

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Q: Suppose that f(x) = 2x4 + 9x2. Evaluate each of the following: f'(1) = f'(-3) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative