Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

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A: To find out the fifth derivative.

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Q: -3 3 sec? 6. dx du =. answer:

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

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A: This question is based on indefinite integral.

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Q: f(X) ex finathe cn'nical numbers of f O de remine whethereacn is a1ocaimaximum, 1ocalminiumum…

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Q: - The demand for your item is given by the following function 2 - 8z (z-8)(z² + 3) Find what number…

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Q: Determine the center of mass for the region bounded by the following y=x^3 and y=√x.

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Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular…

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Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: 09. lim, " -т(csc Tх) (Inx)| x)(Inx)]

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

Q: 1. Find dy for each of the following: dx 2-x2 a) y= In² 1+x y = Vx+e* c) y = 52r+3

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Q: 3. Solve the equation: (Dª – 1) y = 0

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Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

Q: Solve the equation (D² – 3D + 2) y = 2e¬* + 8 O y = cje2x + C2xe¯* + 4 + ze* O y = cje2x + cze² + 4…

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Q: 10) Find the linear approximation to g(y) = Cos(y+1) at y = 0. Use the linear approximation to…

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Q: 3.f(x) = (2x+3 if x =1 2 if x=1 4. (x)= {3+x if x s1

A: (3)f(x)=2x+3 if  x≠12     if  x=1limx→1-f(x)=limx→1-2x+3=5limx→1+f(x)=limx→1+2x+3=5f(1)=2it is…

Q: II. Evaluate each of the following limits. 1-V3-x 4) lim x→2 4-x2 5) lim x→∞ 3 Sin ) 2 6) lim(4x +…

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Q: 6. Show that when a hole of radius a is bored through the center of the sphere of radius b, the…

A: here volume of sphere = 4πb3/3 hole volume = 4πa3/3   left volume  =4πb3/3 - 4πa3/3 left volume =…

Q: Let g(x) = | VI+7i dt. Use the Fundamental Theorem of Calculus to find g' (x). g' (x) =|

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Q: x² + 4x + 1 · dx | (x – 1)(x + )(x + 3)' 3 국lnlx-11+ anlx +11-x + 31 +C Inx - 1| + Inx + 1| + Inx +…

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Q: TRUE OR FALSE 10. Addition and Simplification can be applied to part of lines of proof. 11. If p, q,…

A: Here is the solution

Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

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A: Given: fθ=2cos3θ Formulas used: ddxcosx=-sinxddxsinx=cosxddxxn=nxn-1ddxCfx=Cddxfx…

Q: 5. Which of the following is the correct formula for the derivative of csc u? A) 4(csc u) = (-csc u…

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Q: 18. Convert 5 radians into degrees. First find the exact answer (no decimals or rounding, please).…

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Q: ydy -7-8-4 2.

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Q: (D4 – 2D3 + 5D² – 8D + 4)y = 0 (D3 – D² + D – 1)y = 0 (4D3 + 12D2 + 13D + 10)y = 0 (D5 + D4 – 7D3 –…

A: Given

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Q: x² – 2 (x + 2)(x + 1)² 1 + x + 2 x + 2 (x + 1)? x + 1 (x + 1)² Option 1 Option 2 1 1 2 1 x + 2 x +1…

A: The given expression is; x2-2x+2x+12   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…