Let h 71 = -6 -36 V2 30 I 4 24 -20 I and 3 = a. For what value(s) of his v3 € Span{₁, V₂}? If all values are acceptable, enter (-∞, ∞). If no values are acceptable, enter DNE. 2 16 h b. For what value(s) of his {1, 2, 3} linearly dependent? If all values are acceptable, enter (-∞, ∞). If no values are acceptable, enter DNE. h = Please note that, on an exam or quiz, you would be expected to defend your reasoning by showing your work.

Q: (14) ==√1 + + dx 11

A: Here we have to find the definite integral.

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A: To find the nth term of the given sequence of "n-loop" flowers.

Q: The curve through (2,8) is an inverse variation. Name another ordered pair on the line.

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Q: Find the area enclosed by y = ln(x − 6) and y = (ln(x − 6))². (Use symbolic notation and fractions…

A: Given Curves:- y=lnx-6 and y=lnx-62

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A: Given query is to find the rate of change of the height of balloon.

Q: Identify and sketch the following surfaces (a) z= x² + 4x + y² − 2y + 8

A: Given equation:- z=x2+4x+y2-2y+8

Q: -d 23 X 2 9+хо dx

A: Given integral:- ∫-∞∞23x29+x6dx

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A: As we know the trigonometric identities. 1). sinx=1cscx 2). sin2x+cos2x=1 3). cos2x=2cos2x-1…

Q: 412 m 00 23 X Q + x хр

A: Given: ∫-∞∞23x29+x6dx

Q: 2. Find the row-echelon form for the matrices [1 2 3] A 2 1 5,B = [011] 20 3,C= 10 8 6 4 2 0 -2 -4…

A: A=123215341R2→R2-2R1 ; R3→R3-3R1A=1230-3-10-2-8R2→R2-3A=12301130-2-8R3→R3+2R2A=123011300-223

Q: Find the length of the following curve. x = (y/5)² -25 In (y/5), 2 ≤ y ≤ 10 The length of the curve…

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Q: 55445 134- New Solution = 1: Come up with two additional solutions now that you have graphed the…

A: Please see the below pictures for detailed solution.

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Q: First make a substitution and then use integration by parts to evaluate the integral. [ cos(lnx) dx

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Q: Find the limit of the following. lim 0→9π/4 sin 0. 0- 1 √2 9μ 4

A: The given limit is limθ→9π4sin θ-12θ-9π4. We have to find the given limit.

Q: Evaluate the following. d x6 sin²(x + 1) In √√x² +1 A. dx B. S 1 x ln x dx

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Q: Find the following limit (a) by investigating values of the function near the x-value where the…

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Q: Evaluate the integral

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Q: Terry is skiing down a steep hill. Terry's elevation, E(t), in feet after t seconds is given by…

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Q: If the birth rate of a population is b(t) = 2300e0.022t people per year and the death rate is d(t)=…

A: Given birth rate b( t ) = 2300e0.022tdeath rate d( t ) = 1480e0.019t

Q: Construct a 3 x 3 matrix, not in echelon form, whose columns do not span R³. A =

A: Please see the below picture for detailed solution.

Q: 7. Average velocity The function s(1) represents the position of an object at timer moving along a…

A: According to bartleby guidelines we supposed to do tyhe first one of multiple questions kindly…

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Q: Find an equation of the line that satisfies the given condition. (Let x be the independent variable…

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Q: pose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The…

A: Given query is to find number of bacteria in 24 hours.

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A: Question - Match the points labeled on the curve below with the given slopes in the following table.

Q: 14-A population changes proportionally to the population at a given time. Find the half life of an…

A: Let P = population at any time t t = time k = constant P0 = initial population

Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

A:

Q: The number of miles a truck can be driven on one gallon of gasoline depends linearly on the speed at…

A: Question - The number of miles a truck can be driven on one gallon of gasoline depends linearly on…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find a quadratic polynomial such that f(1) = 8, f'(1) = 2, and f"(1) = 4. f(x) =

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Q: B6 18+ 76 13. Domain: 15. End Behavior: 16. Find f(1) 18. Zeros: 20. Absolute Maximum: 22. Relative…

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Q: Suppose the position of an object moving in a straight line is given by s(t) = 13-12² +8. Find the…

A: Topic = Application of derivative

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Q: owing graphs to answer the questions. Domain, range, increasing and decreasing should ation.…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: 2 S² w² In w dw

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Q: f(x, y, z) = y² + z² and u = (1, 0, 1) at P(1,1,1).

A: To find the directional derivative of fx, y, z=y2+z2 at P1, 1, 1 in the  direction of vector u=1, 0,…

Q: f(x) = 2 sec (-) + 1 2

A:

Q: A manufacturer's suggested retail price for a base model 2022 Ford Bronco is $36, 450 and, with…

A: According to bartleny guidelines we supposed to do the first three subparts of multiple subparts…

Q: Evaluate the integral. 64 S 64 log 4(x + 64) X + 64 dx log 4(x + 64) x + 64 (Type an exact answer.)…

A: Given query is to fins indicated integral.

Q: Given that f(x) = 1 and g(x) 5x 2, calculate (a) fog(x)= its domain is all real numbers except (b)…

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Q: 1. Which of the following expressions is equal to (A) xy-1/325 (B) x³y-1/325 (C) x-¹y-1/325 (D)…

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Q: 1 Let f(x) x - 4 Then (fog)(x) = (gof)(x) =■. = and g(x) = = 3 X +4.

A: Given f( x ) = 1x-4g( x ) = 3x + 4

Q: Given f(x) = 7e-³* cos(-8x), f'(x) = Now, find the equation of the tangent line to the curve at x =…

A: Given equation f( x ) = 7e-3xcos( -8x )

Q: Consider the function y = f(x) graphed below. 1 Give the x-coordinate of a point where: A. the…

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Q: (2x-2y-3)dx = (2x - 4y-2)dy

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Q: A company is considering expanding their production capabilities with a new machine that costs…

A: The given data is: The new cost of the machine is $37,000 and has a projected lifespan of 8 years…

Q: Evaluate the integral using substitution and then Integration by Parts. | 11x³e¹¹x² dx (Use symbolic…

A: