A 6 foot tall woman walks at 7 ft/s toward above the ground. a street light that is 36 ft What is the rate of change of the length of her shadow when she is 17 ft from the street At what rate is the tip of her light ? Shadow moving. 2

Q: 1. Find the domain and derivative for the function f(x) = 327

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Q: II) Consider the two vectors u = and v=. a) Find |u| and |v|. b) Find u x v, u x vand u. v. c) Prove…

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Q: 31. [2³² √/3 + 2x − 2² de dx

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Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 7 for f(x) = ln(x + 1) a. T₂(x) =…

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Q: If y = x³ - 4√x, find the differential dy. Your answer will be in terms of x and dx. Enter då as dx.

A: Given query is to to find differential.

Q: For fo) = 5x=¹, f(x) = 0 at x=-1 True O False

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Q: lhe at the point Po(1,1,3) on the surface 4x² + 3y² + 2z² = 25. Using a coefficient of 4 for x, the…

A: To find the tangent plane and normal line to the surface

Q: 2. The radius of an adjustable right circular cylindrical tank is increasing at a rate of 2 cm/hr…

A: Given :A=2πr2+2πrh

Q: 7. Suppose you are given three pieces of information about a triangle. For which of the following…

A: Please see the below answer.

Q: A function f(x) has a horizontal asymptote at y=L if (select all that apply): lim_f(x) = L X118 lim…

A: NOTE: Refresh your page if you can't see any equations. . it is given that the horizontal asymptote…

Q: Evaluate X - 4y - lim (x,y)→(0,0) 6y +7x

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Q: 1. Show that each alternating series converges 2 b. Σ(-1)" 3n+1 n=1 a. Σ(−1) n=1 n+1 n+1 n n² +1

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Q: smaller x-value larger x-value at the tangent lines at these points are parallel. (smaller x-value)…

A: Given equation represents a rotated eclipse.  The ellipse cuts  x axis at (x,0).

Q: Verifying the remiander theorem: Write the function in the form f(x)=(x-k)q(x) + r(x) for the given…

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Q: True or false: de [In(10)] = 1/10 dx

A: Given query is to find statement is true or false

Q: [= 10 10 dx.

A: The given intergral equation is  10 dx / [ (x^4 -1)^2 (2x^2+9)^3 (x^2-x-2) ]

Q: True or false: For any real number a > 1, d[a® ] = log₁(x) aª

A: let y=axlogxn=nlogxd dx(logx)=1x

Q: A parametric equation of a line in R³ through the point (ro, yo, Zo) and parallel to another line…

A: As we given that equation of the line passing through the point (x0,y0,z0) and parallel to another…

Q: Use the fact that the derivative of the function g(x)=√√x is g'(x) = The equation of the tangent…

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: II) Consider and v= 1, 6,0>. the two vectors u = a) Find u and v. b) Find u x v, u x vand u. v. c)…

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Q: Find the solution to the recurrence relation an a₁ = 8. an = = 3an 14an-2 with initial terms do = =…

A: Note: As per our company guidelines we are allowed to solve one question at a time. Kindly repost…

Q: Solve the "System of linear inequalities": 4x + 2y ≥ 8 y – 4 > x

A: System of linear inequalities 4x + 2y ≥ 8 y – 4 > x     To solve: Given System of linear…

Q: List the one critical number of the following function. f(x) = 4x ln(x)

A: f(x)=4xlnxd dx(lnx)=1xd dx(a.b)=adbdx+bdadxfor critical number put f'(x)=0

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

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Q: A is given function is y = What as 3 x + x² +124-3 values of For the function always increasing? 3

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Q: Solve initial value problem for y as a function of x. (64 - x^2)dy/dx = 1, y(0) = 2

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Q: 4. Differentiate the following expressions with respect to z (a) Insinh(r+ coshr) - (b) Insinh(r –…

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Q: If a = i + 3j+k and b = i + 11j+ k, find a unit vector with positive first coordinate orthogonal to…

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Q: A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8…

A: Please see the below picture for detailed solution.

Q: Electrical power P is given by P= R where E is voltage and R is resistance. Approximate the maximum…

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Q: 100 ds (12s +.02s²)

A: Use substitution method

Q: Suppose a function f(x) is differentiable everywhere and has a local minimum at x=c. If f'(x) 0 when…

A: We have to choose correct option. C is correct option.

Q: Assume that the population of a city satisfies the logistic hypothesis: "The rate of change of…

A: Let the year 1960 is denoted by t=0.Therefore year 2000 is denoted by: t=40Let the population at…

Q: Electric charge is distributed over the rectangle 0 ≤ x ≤ 4, 3 ≤ y ≤ 6 so that the charge density at…

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Q: The graph of the following function - - 4 * 1 * O True N W W a linear function. False

A: The graph is given

Q: In x Find an equation of the tangent line to the curve y= X at the point (1,0).

A: Given

Q: Which of the following limits is guaranteed to exist?

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Q: et y = 5x² + 2x + 3. ind the differential dy when x = 5 and dx = ind the differential dy when x = 5…

A: Given query is to find differentials.

Q: Below is the graph of y = |x|. Translate it to make it the graph of y=x+2-3. Translation 5

A: Plot graph by shifting  Step 1 plot graph of |x| Step 2, shift graph left side by 2 Step 3 shift…

Q: Taylor and MacLaurin Series: Consider the approximation of the exponential by its third degree…

A: We have to find the error in the following given expression.

Q: Is the function continuous at the given values of x? 1 x(x-4)' h(x) = ; x = 4, x=0, x= -1

A: Given : for x = 4  for x = 0 for x = -1

Q: Find aw/as and ow/ot using the appropriate Chain Rule. Function w = y³ - 10x²y x = e³, y = et Əw əs…

A: Given:- w=y3-10x2y, x=es,y=et

Q: 19. A particle starts at the origin with initial velocity

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Q: Use linear approximation to approximate 8.2 to 6 decimal places

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Q: Evaluate the series or state that it diverges. k 3/4 Σ[(3) 3(3)] + 7 59 k=1

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Q: Evaluate the given expression. Take -0.75 -3 -2 A = 3 A+B-C -0.5 1 0 1 -1 2 0 -2 ↓↑ B 0.25 3 DJ-D 0…

A: Given :

Q: Obtain the general solution to the equation. (36-x²) x²y = (6 + x)√36-x² 2 dy dx 6 The general…

A: The given differential equation is: 36-x2dydx-16x2y=6+x36-x2

Q: 7П 2П Convert the point (p, 8, 6) = (5, " 4 3 expressions, or decimals to at least one decimal…

A: in cartesain coordinates x=psinφcosθy=psinφsinθz=pcosφgiven  (p,θ,φ)=(5,7π4,2π3)

Q: - / 2x³ - 8x² - 63x + 10 X 2 x² - 4x - 32 dx

A: We are required to find the value of ∫2x3-8x2-63x+10x2-4x-32dx

Q: x f(x) 0 8 4 0 8 2 12 10 16 1 12. The table above gives selected values for the differentiable…

A: Given Table:-   x 0 4 8 12 16 f(x) 8 0 2 10 1