Find dy. dy= y = 30 + 15x4 - 2x5 (Simplify your answer.)

Q: 10. Solve uxx + Uxt-20utt = 0, u(x, 0) = (x), u₁(x, 0) = (x).

A: Factor the operator as we did for the wave equation

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A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

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A: This question can be solved by the concept of functions.

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Q: Solve: 7 = 3 1 6 3 21 10 Calculator Check Answer 2 - 3 8 ||| 25 -45 145

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Q: Find dt where z = 3x²y³, x = t¹ and y = t²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: Given query is to find indicated limits.

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Q: Question 1 dy 1) Consider the equation 25x² +9y² = 225. Use Implicit Differentiation to find da (c)…

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Q: Please solve a. When tangent line is f(x)=x^3+4x and slope =-1, it is passing through point (2, a).…

A: Given tangent line is .... f(X)= X3 +4X       and slope = -1  f1(x) = ddxx3+4x         = 3x2+4 M =…

Q: Let A = {1, 6, 9, 7, 5, 10) B=(3, 6, 7, 4} and U be the universal set of natural numbers less than…

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Q: 3. Determine the domain and range of h(x) = √√4 – x

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Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: Solve each equation by extracting the square roots. 1.x² = -31 2. (x6)² - 7 = 0

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Q: Let U be the universal set of natural numbers less than 11. Consider the following sets. A = {1, 8,…

A: Let U be the universal set of natural numbers less than 11.  Consider the following sets. A=1, 8, 4,…

Q: 哥 3 1. L-1

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Q: The the following 14 (sec) S (Ft) 0.4 1.5 3.56.29.6 positions s of a car at time table 0.2.4 0.6 0.8…

A: Concept: The average velocity is average velocity=∆s∆t=s2-s1t2-t1Instantaneous velocity=st.....(at t…

Q: Let u, ER" prove that |uv|≤|||||||||

A: This question can be solved using the following conceptsa. Dot product of two vectorsb. Modulus of a…

Q: 2. f(x) = (x + 2)²³ (x-1)

A: Given:       fx=x+22x-1  Apply chain rule:   f·g'=f'·g+f·g' here f=x+22, g=x-1…

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Q: A company that sells calculators has determined that the revenue generated by selling x calculators…

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A: Topic- functions and derivatives We are given,Price per barrel of crude oil since t years of the…

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Q: 12.) Using the result from Problem 11, find the equation of the tangent line at (-2, -1/2).

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Q: y ( x ) = (₁ e ² + ( ₂ e 2X + - 3e³x; y(0) = 0, y'(0) = 0

A: Given:- yx=c1ex+c2e2x+3e3x y0=0,y'0=0

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A: Given query is to find the domain of the function.

Q: = : 0. z = x² + x − 3xy + y³ − 5, find all points(x, y) wherein zxand zy

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Q: Determine the Laplace transform of the function f(t) = t^2.  ( t squared

A: We have to find the Laplace transform of t2.

Q: Eliminate the arbitrary constants. y = We-x + Ve³x

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Q: Find the derivative of the function. y=2xe-3x −3ex4 dy dx ||

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Q: 86. f(x) = √x, g(x) = 2 x - 4

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Q: Solve for the complete solution of the differential equation: 1. What is y(3)? y"+y' 2y = 0; y(0) =…

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Q: Integrate: 16-y4 y³ - dy

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Q: Consider the graph below of the function g(x) to evaluate the integrals. The graph consists of two…

A: The integral is consist of area under two straight line and one semi circle