3 ų (Vector Q.2 For the twJo Vectors: A=i-3j-2k B= 31 +5j +7K Find Ahe fallowing O BA Å+2B %3D (choose saly). (unit Vector B. B-A A-B 6.

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(X), and…

A: Topic = Algebra Px=Dx·Qx +RxPx=-x2+x-3+8x+1

Q: Think of four random integers q, r, s, and t selected from 0 through 9. Let a1 = 0.qrst, where q, r,…

A: let as consider four integers q,r,s,t from 0 to 9 then we get a1=0.qrst=0 now if we select four more…

Q: lim Sin (x-B) XB (x-B)

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Q: Fit a second-order polynomial to the data in the kollowing daha- 0|12/31415 yi 2.17.713.6|272 40.9…

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Q: Solve the problem. Round your answer, if appropriate. As the zoom lens in a camera moves in and out,…

A: We have to find the rate of change of Area.

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: Root Test : Consider the positive term series ∑ an . Define,         L= limn→∞  ann= limn→∞ an1n ,…

Q: 2. Which phrase best describes a function which has the following table when it's graphed. -2 -1 2 7…

A:

Q: 1 00 7) Ln=2 (In n)" n%=2

A: Note: “Since you have asked multiple question, we will solve the first question for you. To get…

Q: Find the derivative of the function. 6x3 f(x) = + 8x2 Step 1 The function (x) can be simplified to…

A: The differentiation is given below.

Q: The figure below shows f(x) and its local linearization at x = a, y = 5x 2. (The - local…

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Q: Given the differential equation y''+4y'+3y=sin(5t),  y(0)=0,  y'(0)=1 Apply the Laplace Transform…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Find the derivative of the function. 6x3 + 8x2 f(x) = Step 1 The function f((x) can be simplified to…

A: We have to find the derivative of the given function.

Q: 4+6 n i) The sequence { )is bounded by 6 n <ns ii) The 20 th. element of this sequence is

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Q: low graph the equation f(x) = 5x + 5 %3D

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Q: (a) 1+2+4+ 8+16 + 32 (b) -1+2- 4+8 – 16 +32 4 16 (c) 64 256 5

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Q: JA di is concave downward. Find the interval on which the curve x) - 6+ 8t

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Q: (2x- 1)dx, n = 4 Calculate the Riemann sum of the integral using the given value of n.

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Q: cot(x) – 1 lim 4

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Q: Find the general solution of the following differential equation. y" + 6y' – 16y = 0 NOTE: Use c,…

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Q: y = 4e" Vx et y = x2 – 1 x2 – 1

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Q: 4.On which condition is the function differentiable at a point? A) continuous at the given point B)…

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Q: Find the marginal revenue for producing x units. (The revenue is measured in dollars.) R = 30  10x −…

A: Given that, R = 30(10x − x3⁄2)

Q: 3) Explain why a triangle ABC is not possible if B = 39.8°, a = 12.5, b = 7.31.

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Q: III. Graph the following functions: 4. y lIn(x-3) 5. y= In(x-1) 6. y= In Vx-1

A: Consider the functions 4.   y=|ln(x-3)|5.   y=lnx-126.   y=lnx-1

Q: Graph the curve and find its length. (Do this on paper. Your instructor may ask you to turn in this…

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Q: tan 7x i) lim x+0 sin 3x sin(x2 + 3x + 2) j) lim x+2 x + 2

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Q: separate šhëët. 1. Find the equations of the tangent and normal lines to the curve y = x² + 2x + 3…

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: If f is a function and not necessarily a position function, then we can interpret AVa,a+h] as the…

A: This is a problem related to average and instantaneous rate of change of the function. Based on the…

Q: Find the indicated terms of the geometric sequence with the given description. The third term is…

A: To find the indicated terms of the geometric sequence with the given description. The third term is…

Q: Rib)-Ra Find the value or values of c that satisfy the equation - f(c) in the conclusion of the Mean…

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Q: The graph models the amount of radioactive element present over the course of a 10-minute…

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Q: Identify the inside function,  u = g(x),  and the outside function,  y = f(u). y = (x2 − 6x + 8)2…

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Q: b) Determine whether the geometric series (-1)"-15n-1 00 6t" is convergent or divergent, and if it…

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Q: Determine the simple interest. (The rate is an annual rate unless otherwise stated. Assume 360 days…

A: P= $ 675 r= 7.75%= 0.0775 t= 30 days Since the rate of interest is given per year. Therefore, Time…

Q: The average rate of change of Ax) = x +x -x-1 over the interval o<xs1 is -2 1 O -1 2

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Q: Determine the magnitude of the complex number, X. X = 5 + -9j ---------------------       x=5+…

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Q: 4 1 445 Σ 4788 n=2 n+3

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Q: Again, consider the geometric series 3−1+1/3−1/9+1/27−…

A: As nothing has been mentioned whether sum of n terms is required or sum of infinite terms is…

Q: 2.33 Let p(r) = x4 + x³ -- 2x2 + x + 1. Prove that the polynomial equation p(x) = 0 has a root in…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Consider the following. (If an answer does not exist, enter DNE.) F(x) = x/6 – x (a) Find the…

A: I am attaching image so that you understand each and every step.

Q: Find a particular solution y, of the differential equation: y" + 2y' + 5y = e* sin x

A: We have to find the particular solution

Q: 1 Let D= {x.y)|0sxs2,xsys1. integral x'e"dA= The x2exYdA = // x² sin(y)dA where R = [-1, 1] × [-2,…

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Q: Use the General Power Rule to find the derivative of the function. y = 12 3 4x2 + 7 y' =

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Q: The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level…

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Q: Write the equation of the hyperbola in standard form. (-1,7) (-1.5)

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Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

Q: r(t) 12t i + 813/2 j + 3t² k, 0 < t<1

A: Here We have to find the length of the given curve.

Q: The graph of f is shown. State the signs of f'and f" on the interval (0, 2).

A: A function f(x) is increasing if              f '(x) &gt;0 The graph of the function f(x) is…