(1 2. 14 Approximate | * -6) dx using 4 rectangles. It is approximatley : (If necessary, round to two decimal places. Do NOT round until the end of the Copyright O 2022 Pearson Educa 31.857

Q: If a = - 5i – 3k and b = i+ 2j then: - 2a – 3b i+ j+ k

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Q: dx 17 + x2 dx

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

Q: n(3n – 1) - 1+4+7+...+ (3n – 2) =

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Q: 2x 14x + 20X Limits. Evalute lim X-5 rounded to 4 decimal places x2 - 6x + 5 O 0.1333 O 1 O 0.5 O 2…

A: We can find the limit as below.

Q: Use APQR, as needed, to complete the given parts. Part 1: Let h be the height of APQR. Find the…

A: Using the given figure of the triangle PQR to find the answers of the given questions.

Q: A differentiable function /has one critical number at x 6. Identify the relative extrema of f at the…

A: We need to choose correct opiton.

Q: Evaluate the following integrals: 1. So? 2. cos 2x dx

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Q: 1) Column vectors vy and vz are given as n-) - --() 4 1 v1 =-1 and v2 = a) Find whether or not…

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Q: For the function f(r) = - 2x – 5x, f(r + h)- f(r) evaluate and simplify: h Find the value of the…

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Q: Choose the point which shows the correct location for the polar coordinate (1, ). 90° 2 WIN 135°…

A: Given query is to find the point of the coordinate.

Q: 8. (Section 4.3) A motorboat is traveling at a constant velocity of 5 meters per second when it…

A: Given,            A motorboat is traveling at a constant velocity of 5 meters per second when it…

Q: Use variation of parameters to find the general solution of the equation  y" - 2y' + y = (e^(x))/x…

A: Use variation of parameter.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

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Q: 4. Represent each of the following in the exponential form: (a) 1+i (b) Vz (c) Vi, V-i

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Q: Find the values of x for which the function is continuous. f(x) = 5x2 + 3 3 all x, x * 5 3 O all x,…

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Q: graph of the function arcsec(x).

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Q: Suppose that f is a function given as f(r) = - 2² +2x + 4. Simplify the expression f(x + h). f(x +…

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Q: dy Find of y = /2u – 9; u = x² – 9 dx Type your answer without fractional or negative exponents. Use…

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Q: An object moves in a straight light according to the position function s(t) = 2tet where s is in…

A: Explanation of the answer is as follows

Q: 4. Find the area under the following curves over the indicated interval: (c) z = -3t2, y = 2t, for 2…

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Q: uestion 2 rite a chain rule formula for the following derivative. for z = f(r, s); r= g(t), s = h(t)…

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Q: Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral •2 X dx with n = 4…

A: The objective is to use trapezoidal rule to approximate the integral.

Q: ind, if any, the local maximum and minimum values and the saddle point(s) of the function f(x,y) =…

A: To find, if any, the local maximum and minimum values and the saddle point(s) of the function fx,…

Q: 16. Find the number of units x, measured in thousands, that will minimize the average cost function…

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Q: A particle is moving with acceleration a(t) = 36t + 8. its position at time t = 0 is s(0) = 17 and…

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Q: PidliLS aiiu I 3. Calculate Duf (0, –2,5) in the direction of v = -3i + 12j – 4k for the function f…

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = x²+Vy The domain of…

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Q: Are the following convergent or divergent? Show your work and state the reason 100 11) Ση n=0

A: The summation of n, n from 0 to 100.

Q: Use the second derivative to determine the intervals on which the given function is concave up and…

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Q: Given the power series expression Σ 4 n x" + 2 n (n - 2) x" n = 0 n = 3

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Q: Given f(x) below, find f' (x). f(æ) = / (t° – 11)"dt 4x Provide your answer below: f'(x) = D

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Q: Implicit Differentiation. The demand equation for a certain brand of two-way headphones is 3x³-8xy +…

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Q: Select the answer option that corresponds with polar coordinates (1, –I). 90° WIN 135° 4 150° -7…

A: Given query is to find the point of the coordinate.

Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

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Q: dy: cos(y) + 7 Consider the integral This can be transformed into a basic integral by letting u =…

A: We can fill up the blanks as below.

Q: A circle is placed in a square with a side length of 8 mm, as shown below. Find the area of the…

A: Use the area of circle and area of square for finding the area of shaded region.

Q: Interest Formula. Suppose you work at a bank and the manager provides a new type of formula to…

A: Given, e(2ln(4)+4ln(2) Simplifying the above expression we have,

Q: Given the power series 2 (n + 2) A x(2n + 1) n =0 Use the technique that we covered in this lesson…

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Q: ) t) P(t) = Poe(In(2) · where t is the number of subdivision periods (time), and P(t) is the size at…

A: Suppose a value was A and is now B, we work out the percentage increase (or decrease) as follows:…

Q: Question Consider the function f(x) = 2 tan (x) – 3 over the interval Does the extreme value theorem…

A: Given function f(x)=2 tanx -3     ;  -π3 , π3

Q: f(x,y) = 3y3 – 2xy + 12y – 3x² – 8x – 16 then fy equals ух

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Q: Find the average value of the function over the given interval. f(x) =13–x² on [-3,3]

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Q: e-2 h(x) 1 + e(3x² + 8) %D is e-2(-2)(1 + e(3x2 + 8)-e(3x² + 8)(6x)(e=2) O h'(x) = (1 + e' e(3x2 +…

A: Given query is to find the derivative of the expression.

Q: = [[[In(x² + y² )dxdydz

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Q: Use the properties of logarithms to expand the following expression. 5 3 2 Each logarithm should…

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Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

A: The objective is to evaluate the limit.

Q: The two figures are similar and regular solids. Find their mass if the sum of eir mass is 120g. e1 =…

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Q: 3) The straight line l passes through the points (0,1,5) and (2, –2, 1). Find the y - and z…

A: Using Cartesian equation.

Q: evergreen nursery usually sells a type of shrub after 5 years of growth and shaping. The growth rate…

A: Given query is to find the height function and the height of the shrubs when the sold.

Q: Find the value of a in the vector i = (a, b) if b = 48 and ||ū|| = 50 %3D v is in Quadrant I

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