Determine whether the set S is linearly independent or linearly dependent. S={(2, 1, 6), (3, 2, -1)} Linearly independent Linearly dependent

Q: C- for the function below, the domain and the range is respectively y=√16-x²

A: We have to find domain and range of given function.

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Q: Let y = 5x³(x7 - 5) Calculate the derivative using the product rule. f(x) = and g(x) = which means…

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Q: Evaluate the indefinite integral. Use C as the constant of integration. -3+ 6 cos 0 do 02 sin 0

A: To Find: ∫-3+6cosθθ-2sinθdθ

Q: Numerical Response #7: The arc length of a circle of radius 15 cm with a sector angle of 110°,…

A: We have to find Arc length of given circle.

Q: C- for the function below, the domain and the range is respectively y=√16-x²

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Q: Q.2B) If we substitute the polar coordinate x = r.cose & y = r.sine continuous function w=f(x,y)…

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Q: 3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c)…

A: 3.

Q: Problem 8. Find critical numbers of (1) f(x)=2³-3x²+1, (2) f(x)=³/5(4-x).

A: Given :f(x)=x3-3x2+1f(x)=x35(4-x)

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A: We can solve the differential equation.

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Q: D-the result of the following 1² lim x-0 In (sec x) anther answer O 1

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Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

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Q: 7. S. 5x4x² 3 sin 2x y = 2 y = 4

A: Solution ) y = 25x .34x^2 Take log both side  log y = log ( 25x .34x^2 )  [ log m.n = log m + log n…

Q: Q5. Find the angle between the vectors u=2i+j, v=i+2j-k. And uxv

A: Please see the below picture for detailed solution.

Q: For f (x) = 1/4x^4 − 1/3x^3, find the critical values of x, and determine the relative maxima and…

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Q: 9. Find the mass of a car antenna that is 3 ft long (starting at x = 0) and has a density function…

A: Find the mass of a car antenna that is 3 ft long (staring at x=0) and has a density function of…

Q: Evaluate O A. O B. O C. O D. π 3 1.3863 -2.9345 -3.6276 -2.2413 2xsec² x dx.

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Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: (d)     Given that                            u = 233 feet   at  0 feet         We have to…

Q: Q1. Test the convergence and divergence of 3n cosnn 2. Ση=1 (n+1)! 3. Σ=1 3!n!3n 4n-1 8 67² 210-√n…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 2x+1 x²-7dx 1

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: Let's find area under the curve by using two rectangles.

Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of co will the solution…

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Q: Find by double integration the area of the region in xy, plane bounded by the curves y = x2 and y =…

A: Using vertical strip

Q: Evaluate the following integral − (x - 1)(x-2)(x − 3) -

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Q: Find a particular solution yp of the following equation. Primes denote the derivatives with respect…

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Q: 3. a) Consider the system k-2 4 [ 0 k-2 0 0 Find the value(s) of k such that the system has only one…

A: As per bertleby guideline I have to solve only question 3 with subparts. For answer to others…

Q: A rectangular box is to conta 125 in³. Find the dimensions of the box for which the surface area is…

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Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

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Q: Carlos invested $70,000.00 for 5 years at 8.50% compounded monthly. Calculate the future value of…

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Q: find the transpose of the matrix A C = 3 5 2

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Q: the square. Be sure to show all Solve the following equation by steps and round final solutions to 3…

A: Given equation  6x2+24x-18=0Here a=6, b=24, c=-18Use quadratic formula with a=6, b=24,…

Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: Q3- Use Green theorem to evaluate [7y-ex]dx+ [15x-sin(y³ + 8y)] dy Where (c) is a positively…

A: This is a application of integral problem

Q: State the intervals of increasing and decreasing behavior in the function f(x)=x^3+2x^2-4x+5.

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Q: Set up the the integral to find surface area for f(x)=x^4+1 over [1,3] show all steps for setting up…

A: The solution is given below

Q: a. Show that f has a removable discontinuity at x = 3. f(x) = x²7x+12 x + 2 x = 3 b. Redefine f(3)…

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Q: 3- show that the diff. equ. is homogeneous and Salve it (2x+34) dx +(y-x)dy = 0

A: To solve the given differential equation

Q: Find the derivative of s(q) = 15 cos q sin q. s'(q) =

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Q: Suppose the graph of f(x) is given. Describe verbally how the graphs of the following functions can…

A: We will use the definition of horizontal shrinking and reflection transformation to solve this…

Q: Sketch the region enclosed by the given curves. y = 5x³, y = 5x CHOICE A -3 O CHOICE D -3 O Find the…

A: For equation: y=5x y= 5 x3 required curve is: Option D

Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

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Q: imber Inc. invested profits of $225,000.00 in a GIC at 5.62% compounded semi- annually. How long…

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Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = √√1+x DO 1 f(x) = 1…

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Q: dy dx x3 2+y²

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Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

Q: Water is being drained from a reservoir at the rate of w(t) cubic meters per minute at time t. What…

A: Solve the following question