C- Find f' of the following: 1) √2x³-2² + In ² 2) 3xe³r+1 3) sin ¹(³).

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Q: 24. For y = f(x), we define the derivative of f at x, denoted by f'(x), to be if the limit exists.

A: The solution of the given problem is as follows.

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Q: 8. Find a base to the kernel of the linear function f:R¹ R² defined by f(x, y, z)=(2x,y+z)

A: The answer is given below in step 2.

Q: 2. Given no(-1)" (2x + 5)", then the interval of convergence is -7<x<2 2<x<7 -7<x<7 -2<x<7

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A: Given :extanx

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A: we need to write down the value of p for which the series is convergent.

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Q: Let f(x,y) = 4x4y + xy4. Find 2²4 2²4 2²4 2 7 ax² ay ²¹ axay¹ and 2²f 21 əyəx

A: Let fx, y=4x4y+xy4To find ∂2f∂x2, ∂2f∂y2, ∂2f∂x∂y, and, ∂2f∂y∂x.

Q: Givin f(x, y, z) = ln(11ry +242z) then the partial derivatives f 242 (zy+222) - 484 (zy+222)2 44…

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Q: 1² [ dz If f(x) dx = 18 and f(x) dx = 3.1, find [₁ f(x) dx. Answer:

A: To find the value of definite integral

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Q: 3) Determine whether the infinite series converges absolutely or conditionally.. 3a) 2 (-1) ² / ² 1²…

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (x, y) (?, ?) Y y = x 11 X

A: Find the centroid of the region

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A: A baseball team plays in a stadium that holds 70,000 spectators. With the ticket price at $8 the…

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Q: Solve the initial value problem 2xz = -x, z(0) = -8

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Q: QUESTION 1 a) Solve the following: i. ii. -6 ≤2(-x + 4) ≤ 12 3(2x - 4) = 2[2x - 4(1-x)] iii. x+4 x +…

A: 1)i) 3(2x-4)=2[2x-4(1-x)] ii) -6&lt;=2(-x+4)&lt;=12 iii) (x+4)/2 + (2x-3)/5 =5 Repost the next part…

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Q: Find dy/dt for the equation below. 7x^3 + 2y^3 = 7

A: Given :7x3+2y3=7

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Q: Find the Taylor series for (Α Σ B (0) 00 n=0 Σ (-1)" 2" Σ Στο dn=0_2+1 (-1)" 00 – 1 11=0 ₂11 +1 1…

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Q: 1) show whether the infinite series converges diverges la) = (-1)^_3n²+ 9 M=1 5 - 2n²

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Q: 4. Evaluate 3/4 sin(x) dxdy, where a = ✔π/3.

A: Given that ∫0a3∫y3asin(x4)dxdy    where a=π/34

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Q: 6. y = -5%. 7. y = log₁ x.

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Q: Solve the given differential equation. 8ydx - 8xdy + x dx = 5dx The solution is (Type an equation.)

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Q: Choose the end behavior of the graph of each polynomial function. 6 (a) ƒ(x) = x²° + 8x² + 6x² − 8x…

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