For nos. 1 and 2, use separation of variables to find a product solution to the following: ди ди 1. x==²=u+Yay əx a²u J²u 2. =a². at² əx²

Q: Simplify & show your work: V54x"y19

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Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

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Q: #hn. Don't provide handwriting solution

A: 1) Critical value is found at 0.05 level in Excel using =T.INV(1-0.05, 24) which equals +1.71 Here…

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A: To find the value of 2cosec20°sec20°

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Q: Assume that y varies jointly with x and the square root of z. If  y=48 when x=4 and z=16, then find…

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Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

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Q: c. Show that(cscx) -1 xVx2-1

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Q: csc² 6. 2 2 Cs dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use…

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Q: 2 -1 2 2.

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Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

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Q: 13x+30= (류,-1) and (-3,) 4. Find the equation that contains 7'3)

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Q: Hn. Don't provide handwriting solution

A: Step 1:Step 2:Step 3:Step 4:

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Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

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Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: Q. / 3sec3xtan3xdx sec3x +c -sec3x +c O None O tan3x +oс

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Q: Divide 8r*y – 10x*y³ + 12x²y³ by 4.r°y?.

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Q: b. 3+V5-x 3I

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Q: =wyx for w = In (3x+ 4y). ух

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Q: What is x + y if 4x + 3y = 10 and 3x - 2y = 16? A. -4 В. 2 С. -2 D. 0

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Q: Vz? – 25 4. -dz

A: use substitution method for solving the integral.