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Q: Let A = (1,0, 2) and B = (6,–2, 3). Solve for projĄB.

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A: To use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: .f (x) = cos(-x) .f(x) = sin(8x) .f (x) = 2 sin(-5x) a) f'(x) = 2 sec(2x – 1) tan(2x – 1) %3D - b)…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: QUESTION 6 Encontrar la suma de las series infinitas En=o 2 2(-)" in3D0 4 3 -1 4 O O O

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Q: Consider the following higher-order differential equation. d³u d?u + - 2u = 0 dt3 dt2 Find all the…

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Q: True or false If f’(x) = 0 and f”(x) < 0, then the point (x,f(x)) is a local minimum

A: Solution ) if f'(x) = 0 And f"(x)  &lt; 0 So (x , f(x) ) is a local maximum point  If  f"(x) &gt; 0…

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Q: 3. If sin a and a is in quadrant I, use the double-angle identities to find sin (2x), cos (2x), 8…

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Q: Solve the given problems. 1. Determine the distance i to the center of mass of the homogeneous rod…

A: Solution: y2 = x2  y=x32 y'=32x12

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A: We need to find directional derivative.

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Q: 10 a. lim 1+3 x - 2 10 b. lim T7 x -2 2x +1 c. lim T-2 x – 3

A: Since you have posted multipart questions i can do first three subparts as per our company…

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Q: Determine whether the lines L, and L2 are parallel. L1: x = 1– 4t, y = 2 + t, z = 4 – t L2: x = 4 –…

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Q: Use the union rule to answer the question. If ​n(A)=8​, ​n(B)=9​, and ​n(A∩​B)=4​, what is ​n(A∪​B)?

A: Formula: n(A∪B) = n(A)+n(B)-n(A∩B)

Q: atical expression or equation. x is nine more than five times the one more than three times the nur

A: We have to convert in mathematical form from the given information

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Q: Evaluate the limit. t3 + 13 sin (t) lim (Give an exact answer. Use symbolic notation and fractions…

A: The objective of the question is evaluate the limit of the given function.

Q: Consider the points A(3, –3,2), B(4, –5,0), C(-1, –4,0), and D(6, 2, –3). (a) Find the volume of the…

A: Let a, c,d are position vector of point A,B,C,D…

Q: Evaluate the indefinite integral. x + 3 dx x2 + 6x + 10 Integral =

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Q: lim (e2x – 1)* X→0+ Find the limit using L 'Honital's RI

A: We have to find the limit by using L 'Hopital' Rule Rule

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Q: A snowball is thrown upward from a bridge into a river below. The function f(t): above the surface…

A: f(t)=-16t2+47t+88t=0f(0)=88gives the bridge's height.Brige's height =88 feetB)When the snowball hits…

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Q: Instructions: (1) Use Limit Laws to find the limit of each given problem. (II) You may only use…

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Q: 4. The function g(t) = (8t)* – cosh² t + sinh? t satisfies g'(c) = 0 for which value of c? %3D (a) c…

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Q: 8 sec 0d0 3. S V4 + 4 cot2 0 is equal to A. 4 ln csc 0 + C В. 4 In sec ®+ С C. 4 In cos 0 + C D. 4…

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Q: S sin x In(cosx) dx

A: To evaluate the integral: I=∫sin x(ln (cos x)) dx Substitute  cos x=t⇒-sin x dx=dt⇒sin x dx=-dt

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Q: 17 + sin w sin(1+ cos w)) dw 7-2w

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Q: The sum of the dimensions of a box with a sqaure base is 48 m. Find the maximum volume of the box.

A: Volume

Q: Explain why S is not a basis for R2. S= {(3, 5), (1, 0), (0, 1)} O sis linearly dependent. O does…

A: The given set S=3,5, 1,0, 0,1