2 Evaluate f 9t2 (t³+1)ž Answer: 3 dt.

Q: Explain why the vectors u₁ = (2, 4,-4) U₂ = (-4,-8, 8) form a linearly dependent set of vectors in…

A: To find the reason for the given vectors to be linearly dependent.

Q: Suppose that the concentration (measured in gm3) of nitrogen in the soil along a transect of land…

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Q: Let z = √√√7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2. ds

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Q: lim t→∞ 14/3 + 71/3 2 (6+²/3 +11) ²

A: To find out the limit.

Q: r(t) = (−2√√ť² – 4, 3 sin (4t), 3 ln (−5 – 2t)), then the domain of r is given by the interval…

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Q: Which is not the about f(x) = |x|? Continuow at O no targent line at 0 Derivative from left at O is…

A: Use the function value to evaluate which one is false

Q: Find the limit lim 3-0 Select one: 04/3 None of these Does not exist -8/6 00 8x² + 7x-9 6x²-2 if it…

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Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, x3. f(x) = x² - 6x + 4, xo =…

A: We have to find the x1, x2 , x3.

Q: If then fxx = Select one: True False 2(y² + y) (y - x)³ f(x, y) = x + y² y-x

A: According to question,Given Function,fx, x = x + y2 y-x

Q: The annual number of passengers going through Hartsfield-Jackson Atlanta International Airport…

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Q: Evaluate: ffefdxdydz 0-1/1 O 01/12 O-1 S

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Q: Suppose that f is a differentiable function with f(2) = 5. If the tangent line to the graph of y =…

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Q: Which of the following is the partial derivativ with respect to x of the function f(x, y)= 4xy + 2x…

A: To find out the correct option.

Q: Find (²-1) ln(x)dx

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Q: 2 A force of F(x)=4cos (2x)-7 sin(x), x is in meters, acts on an object. What is the work required…

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Q: Can you please show the working i do not understand.

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Q: If you can only answer one, please answer 99. The questions asks whether the series converges or…

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Q: k will the function f(x) = kx²-x²³ have a point of inflection at x=2? For what value of

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Q: The limit lim (x,y) →(-2,-5) exists and is equal to -20. Select one: O True O False 25x²-4y² 5x-2y

A: The objective of the question is determine the limit existing.

Q: Evaluate: ffdxdydz 0 - 12/1 0 1 0/1/201 0 -1

A:

Q: Every student who wishes to enter the public library at Hotel de Ville (HdV), in the center of…

A: The solution is given below

Q: Determine whether the lines L₁ and L₂ are parallel, skew or intersecting L₁: x = 4 + 2t, y = -5 +…

A: L1 : x=a1+b1t , y =c1+d1t , z=e1+f1tL2 : x=a2+b2s, y =c2+d2s , z=e2+f2sthen Lines L1 and L2 are…

Q: What is f (x) of f(x) = 320 (2x-7)³ O4x²-28x-31 (2x-7)¹ [(8x-28)-4(4x²-28x-31)] (2x-7)¹ O4x²-28x-31…

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Q: $] A) Solve the IVP: 2) [23 (2x - 4). - 2 ln 5x + 2y = 0, y(3) = 3. dy dx B) Give the largest…

A: Concept: Initial value problem (IVP): Initial value problem (IVP) or Cauchy problem is the term used…

Q: Find the smallest number of terms of the series Σ1 partial sum sn is within of the sum. 1 100…

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Q: No 1 Problem Use the method of disks/rings to determine the volume of the solid obtained by rotating…

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Q: QB3) Verify fxy-fyx for the function f (x, y) = 4x (Iny) + 4y (Inx) + (²²4 2²

A: We have to prove fxy=fyx for the given function.

Q: The following limit lim Select one: 16 equals 1 3 equals 0. does not exist. None of them equals 2x²…

A: To evaluate the following limit.limx,y→-2,2 2x4+2y43x2-3y2

Q: Let f(x) = x³ + √√. Then f'(1) = 02 O 1.5 O 3.5 04

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Q: dy Find using implicit differentiation. dx Hint: First clear the denominator to get 8x² + 6y =…

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Q: f(x, y) = ln (2x) In (3y) + x - y - xy - 3, then fyz (2,-) is equal to

A: Given :fx,y=ln2xln3y+x-y-xy-3

Q: Solve this system of equations x2+2y=0 -y2+2x=0

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Q: Suppose f'(x) = x² - 1. Then the graph of f is concave upward on 0 (-∞0,0) O (-1,1) (0,00) O (-∞,…

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Q: 4 lim z+0x5

A: topic- limits Since denominator is negative, and near to zero .Therefore limit tends to negative…

Q: 2. y²dx + (x² − xy - y²)dy = 0 [Answer: (x - y)y² = c(x + y)]

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Q: Consider the function f(x) whose second derivative is f''(x)=9x+9sin(x). If f(0)=4f(0)=4 and…

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Q: Find the following Wronskian: W(4, 3t, e-³¹, te-³1) O-972e-6t 0-972e6t 6 972e6t O 972e-6t 00 O-6

A: We can find the Wronskian .

Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C O None of the choices O cos² (2x)…

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Q: e the figure to answer the questions. point A point B B point C point D point E y C D (a) At each…

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Q: Choose the domain of the following function f(x, y)= ln(2x - y - 5) O None of the others O D = {(x,…

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Q: π/2 The integral f/2 So sin drde is equal to cos O-1/2 O 1/2 0 1 00 10

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Q: A graph of a model for the sales of services between 2004 and 2008 by a leading global provider of…

A: We have to find the solution of given question.

Q: What is f (3) When x²-9 X-3 f(x) = x when XX3? Assume that f(x) is a function that is continuous for…

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Q: The figure has a tangent line drawn at a labeled point. 9500 9400 9300 9200 9100 p(t) thousand…

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Q: Ja Inadr

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Q: 1= z In zdz

A: Given, ∫ xlnxdx

Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Q: Estimate the area under the graph of f(x)=1/x+2 over the interval [2,5] using eight approximating…

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Q: 3. (x² + y²)dx - 2xydy = 0 [Answer: x²-y² = cx]

A: Here we use the method of substitution y=vx then dydx=v+xdvdxsee below the calculation and…

Q: Use the graph of m(x) shown to answer the questions below. -5 10 50 0 5 a. State the domain of m(x)…

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