A 6 foot tall person walks away from a 14 foot tall lamppost at a constant rate of 2 feet per second. (a) What is the rate that the tip of the shadow moves away from the person when the person is 6 feet away from the pole? 32 X ft/sec h (b) What is the rate that the tip of the shadow moves away from the lamppost when the person is 6 feet away from the pole? ft/sec

Q: The composite function theorem allows for the demonstration of which of the following statements? O…

A:

Q: Find the absolute maximum of the function f(x)=x²-1x +4 on the interval [0, 2]? (a) The absolute…

A:

Q: 2x +3 x:²-9 da

A: To evaluate the given integral.

Q: Find the critical numbers of the function. h(t) = 3/4 - 2¹/4

A: Topic = Derivative

Q: Find the partial derivatives of the function fz(x, y) = fy(x, y) = 1 f(x, y) = 4x 2y 1x + 2y 1

A: Given: Now, fx(x, y)=∂ ∂ x4x-2y1· x+2yTreat y as a constant             =∂ ∂ x4x-2y1· x+2y-∂ ∂ x1·…

Q: Exercise 14 Find f'(x) for the function f(x) = x +9 x²-7-x+1 Apply the quotient rule to find a…

A: Quotient Rule of differentiation :           ddxuv = v.dudx - u.dvdxv2

Q: dy dx x5(x + y) = y²(6x - y) X

A: Topic - application of derivatives

Q: 2.) What is when y= cos(2x³) d²y dx²

A:

Q: For the function f(x,y,z) = 4x - 3y 5z + 1 find fx, fy, fz, and fyz. 9

A: f(x,y,z)= (4x-3y)/(5z+1)

Q: Y = -3° +10 the graph can be obtained from =3x,

A:

Q: If two integers have opposite parity, then their product is even. Direct proof.

A: Topic = Algebra

Q: lim (1 + sin 3x) x→0+ CSC 2x

A: We need to evaluate:

Q: ← Find fx (x,y) and fy(x,y). Then find fx (2, -1) and fy(-4,3). f(x,y) = In 9x¹ +8x²y² fx(x,y)=…

A:

Q: Evaluate the limit of the function f defined by f(x, y) = y = x² as (x, y) approaches (0,0). x+y 2x²…

A: To evaluate the limit of the given function

Q: Find the exact arc length of the curve over the stated interval. 1 1 x==y+y from y = 1 to y = 2…

A:

Q: Calculate, to four decimal places, the first ten terms of the sequence. n *₁ = 1 + (-)"

A: We need to find out the first ten terms of the sequence.

Q: Evaluate the limit: lim 02 does not exist lim √(0+1)²-1. Q→-2 0 1 0

A: Put Q= -2

Q: Dada la integral doble: √²₂ √√²-²²e²²+v²³ dy dæ a) Grafica la región en el plano xy a la que se…

A:

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 6 1 -…

A: Let's convert given polar equation to rectangular coordinates.

Q: Find the general solution to 3y''+xy'+y=0 in the form of a power series around the ordinary point…

A: Note: this x0=0 is an ordinary solution. Let us assume that:y=∑n=0∞Cn(x-0)n…

Q: PROBLEM # 2 Standard form Vertex form 3(x + 5)² + 10 = y Axis of symmetry Opening (upward or…

A: Given vertex form of equation of parabola is, 3x+52+10=y

Q: Suppose the second derivative of f(x) is given by f" (x) = 35x¹ (x+6)5 (x² + 9). Determine the…

A:

Q: Let f(x) = 4 sec (3x) f'(x) =

A:

Q: The following table gives the monthly premiums for an insurance policy on people of various ages. a.…

A: NOTE: Refresh your page if you can't see any equations. . x=age y=monthly premium x y 35 120…

Q: 6x Find the derivative of h(x) = 2 h'(x) = 36log, (x) 6

A: Topic:- application of derivatives

Q: Use the matrices below to perform matrix multiplication. B = 27 3] 14 -10 0 12 || |- 4 -3 5 10 6 8

A: Number of  column in B =3 = Number of Row  in   C  so, matrix multiplication is possible

Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

A:

Q: In 1997, researchers at Texas A&M University estimated the operating costs of cotton gin plans of…

A:

Q: A homogeneous function is one such that f(tx, ty) = ta f(x, y) for some a. (a) Show that f(x, y) =…

A:

Q: Find dy/dx by implicit differentiation. 11. x² + y² = 100 13. x²y + 3xy³ - x = 3 15. 1 + = 1 BE-EE…

A: Topic - Implicit differentiation We are given, 1x+1y=1We know thatddxxn=nxn-1

Q: Answer

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: I am attaching image so that you understand each and every step.

Q: Solve 4X 64 X+3 16 Solution set =

A:

Q: Write Z₁ and Z2 in polar form. 11π - 4( cos( 11 ) + sin ( 1 )) i 11π 6 Z1 = Z2 Z1Z2 = Z1 Z2 Z₁ =…

A: you should write a bracket

Q: Find the directional derivative of f(x, y, z) = 2³ ay at the point (-5, 1, 1) in the direction of…

A:

Q: dy Use implicit differentiation to evaluate at the point (-2, 1). dx (Submit an exact answer.)…

A: Topic = Derivative

Q: 8 ln(sin(x)) 8x tan(x) +C

A:

Q: f(x)=x²+2x-6 has an inverse g(x).. 1 ƒ'(g(x)) Use g '(x)= g'(-6)= 110 to find g '(-6).

A:

Q: Find f(x,y) and fy(x,y). Then find f, (2, -1) and fy(-4,3). 4 f(x,y) = In 9x² + 8x²y²| {x(x,y) =

A:

Q: Suppose a product's revenue function is given by R(q) = - 8q² + 900q, where R(q) is in dollars and q…

A:

Q: First the pieces: 25 5353 7 23 SS 8z as by And putting it all together: dz dz dy dr Ot dy Ot

A:

Q: 5) Determine the time it takes an amount of money to triple if compounded continuously

A:

Q: x² 421875 For the given cost function C(x) = 54√√x + a) The cost at the production level 1700 b) The…

A: Note:- These are multiple sub parts but we can solve max 3 sub parts so i am solving here first 3…

Q: Please show your answer to at least 4 decimal places. 4x Determine the gradient of f(x, y) = e¹*…

A: I am attaching image so that you understand each and every step.

Q: ? Question Suppose a product's revenue function is given by R(q) = 4q² + 600q. Find an expression…

A:

Q: Let f(x)=√4x² + 4x + 2 f'(x) = f'(4) = (round to 3 decimal places)

A:

Q: 2 x² dx √4-x² 2

A: Let's solve given integration.

Q: 2+2+2+1 de

A:

Q: Find the absolute maximum and absolute minimum of the function f(x) = 3 sin (x) cos (x) over the…

A: We will find the required.

Q: 3 x 3 =

A: To  find:- 3×3=?