Using d'Alembert's solution, we obtain that the solution to the problem utt=9uxx u(x,0)=3x²,  ut(x,0)=x is a) 3x-2t b) x²+3t² c) 4x-t d) 3x + t e) t²+3xt

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A: Our Aim is to evaluate the integral given below:-∫x2ex3 dx-(i)

Q: The graph below is the function y = f(x) 2 ƒ(4) = lim_ƒ(x) = x→2 lim_ƒ(x) = x→3- lim f(x)= x→3+…

A: A detailed solution is given below.

Q: 3. Show that the LP problem Minimize: subject to g(x1, x2) = 2x1 - 5x2 x₁ + x₂ > 2 - x12x₂ ≤0 x22x11…

A: Given:- Minimize: gx1,x2=2x1-5x2Subject to :x1+x2≥2x2-2x1≤1x1,x2≥0

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Q: 3. Find the length of segment JK. Round to the nearest hundredth. J 23 H K 31 29°

A: by using cos law we know  C2=a2+b2-2abcosC

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A: As per guidelines we can solve maximum 3 subparts. Please repost others subparts and mention the…

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Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

A: Figure:-

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A: A=limx→0sin(x9)xif we put x=0,  it is 00 form there for use l'hopital  rule

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A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

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A: On solving this we will get

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Q: Given a function h, defined as h(x) = bx - 4, where b is a constant, which of the following…

A: We have given function  hx=bx-4 Put x=3 h3=3b-4 Similarly, Put x=b hb=b×b-4 hb=b2-4

Q: a. Determine if the three lines have a common point of intersection. 2x₁ − 3x₂ = −13, and -2x₁ + 3x2…

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Q: QUESTION 4. h(x,y)=2xy+3x2+4x3y2+8   What is the value of ∂h(x,y)∂x when x = 3.1 and y = 0.7?…

A: We need to find out the partial derivative.

Q: 5. S 6. S 7. S dx xintx sec²ydy tan ¹5 y (x³-5x)dx VX

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Q: 4. Using the limit definition of the derivative, find the derivative of g(x) = √2x + 1.

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Q: ) Let f(x) = c) 1 x + 3 following: a) ƒ (-3) = = defined, write "undefined". Evaluate the Undefinec…

A: We have given function  fx=1x+3 (a) Put x=-3 f-3=1-3+3=10 f-3=Undefined (b) fx+h=1x+h+3

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. [2 cot 2 cot (x)…

A: Here is the solution:

Q: int (7)/((x+a)(x+b))dx  Evaluate the integral. (Assume  a ≠ b.  Remember to use absolute values…

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Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: 0 2.6 f(x, y) = 13-4x - 5y Update Graph 0 x X 3.25 Student Response X Response Description

A: The answer is in step 2.