Use the Chain Rule to find az/əs and âz/ât. z = x²y⁹, x = 5 cos(t), y = s sin(t дz əs əz at || [(C+())[- ² - 3] (주) | 2 e S e S 2 X X

Q: Consider the function f. Evaluate the following limit. Lim X-2x+1 X+-3 2)Lim X²-4 X-2 1-5XH 3) Lim…

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Q: Let f(x) = f'(x)=0 4 8x + 7

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Q: how? = 1024 625 = 1024 625 5 3 [+] - [ + ] - 1 S 3 2 15 ~1.423 + 1763 541 15360 = 2048 +1763√41 9375…

A: The following calculations has been used below to solve the expression…

Q: DETAILS WANEFM7 2.R.039. OHaganBooks.com is seeking a $260,000 loan to finance its continuing…

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Q: Evaluate Inx 10 X 7 In x 10 dx = x dx. (Type an exact answer.)

A: Given integral:- ∫1710lnxxdx

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

A: By using Lagrange multipliers to find the maximum and minimum values  of the function subject to the…

Q: What is the particular solution of 2xyy' =1+ y², when x = 2, y = 3 ? a. y =√√5x-1 c. y =√√5x+2 b. y…

A: Given differential equation 2xyy' = 1 + y2

Q: Consider the parametric equation What is the length of the curve for 0 = 0 to 0 = /? 12(cos 0 + 0…

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Q: 3. y' cos x - y sin x = 2xex

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Q: Complete the following table for the parametric equations for t in the interval [-2, 1]. Then state…

A: Here,          we have given range of (t) so we have to find out the parametric coordinates by…

Q: Consider the function f. Evaluate the following limit. D) Lim X²-2x+1 X-3 2)Lim X²-4 X-2 X²-5Xt6 3)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: Find the surface area of that part of the plane 8x + 6y + z = 10 that lies inside the elliptic…

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Q: 1 At a temperature of 20°C, the volume V (in liters) of 1.33 g of O₂ is related to its pressure p…

A: Given query is to find average rate of change and instantaneous rate of change at indicated point.

Q: Question #5 - Find the following for the function f(x) = 2x²-xª. a) The coordinates for the relative…

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 10"…

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Q: Without graphing, find the exact location of all relative and absolute extrema of given function.…

A: Note:- Since you asked multiple questions but according to our policy we can solve first question…

Q: 02 θυου (u? In(3u + 4v)) 3u? + 8uv (3u + 4v)a 12u? + 32uv (3u + 4v)a 12u2 – 32uv (3u + 4v)a –12u2 +…

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Q: how do I plug in the numbers? That is the part I am stuggling with.

A: We have the values f(6)=-1, f'(6)=3, g(2)=6, g'(2)=5   find the value of F(2) based on the…

Q: Consider the function h(x), for which h(2) = − 1 and h'(2) = -6. Find f'(2) for the function f(x):…

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Q: A sales representative for a company that produces toasters can sell x units of their deluxe model…

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Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, — 1), 7 = (0, 3, 2), =…

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Q: What is the particular solution y' = x³ - 2xy; when x = 1, y = 1? a. y=x² +e(¹-x²)-1 b. 2y=x²…

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Q: 7sin 2x cot(2x) sin(2x) dx

A: To evaluate the given integral

Q: 5. Fill in the blank with "all", "no", or "some" to make the following statements true. Note that…

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Q: Consider the functions f(x) and g(x), for which f(0) = 4, g(0) = 7, f'(0) = -4, and g'(0) = −4. Find…

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Q: Using log function find Ln(-4+5i) Ln(-3-5i) Ln(2+3.4i)

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Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + + 8² 16² 24² 32² (Use symbolic notation and…

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Q: Evaluate lim x → 5 x²-3x - 10 x-5 Enter an exact value below.

A: Given;  Limx-5(x2-3x-10) /(x-5).

Q: A company has determined their yearly cost function, in dollars, to be given by 2,100x5/2 C(x) = 6x²…

A: If C(x) is the cost function then C '(x) is the marginal cost.

Q: Compare dy and Ay for y = -x²+1 at x = 2 with Ax = dx = 0.01. Give your answers to four decimal…

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Q: dz 2 2 Find when u = 0. v 2. if z = sin(xv) + x sin (v), x=u² + 3v", and y= uv.

A: Given;  z=sin(xy)+xsin(y), x=u2+3v2, and y=uv.

Q: The atmospheric pressure at a point h meters above the surface of the earth is given by P= f(h) =…

A: Given function represents the variation of atmospheric pressure with height above the surface of the…

Q: Find the volume of the solid that results when the region bounded by y = 3 + 2x - x², y = 0, and x =…

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Q: 3x The equation r(t) = (3 cos t)i + (5 sin t) j+(3t) k is the position of a particle in space at…

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Q: s¯¹(x + 1) − √√14 − 3x², find ƒ¹(x). If f(x) = 3x cos

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Q: The equation y=c₁e²x cos 3x + C₂ e²x sin 3x is a solution of what particular differential equation?…

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Q: If we ignore air resistance, then the range R(0) of a baseball hit at an angle with respect to the x…

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Q: (a) Find the inverse function of f(x) = 7x - 6. f-¹(x) = (b) The graphs of f and fare symmetric with…

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Q: dz du dz and av when u = In 2, v=x, if

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Q: Evaluate the integral cos 4t sin 4t dt. Jomman x/8 _cos 4t 5 л/8 sin 4t dt = dt= 0 0 (Type an exact…

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Q: 1.Find the remainder, r, when a is divided by b. Write the numerical value only. Given: a = -233,…

A: Solving the problem by finding the value of the remainder, r.   Note :: Only 1st question are…

Q: 3. A 50-gal tank initially contains 10 gals of fresh water. At t = 0, a brine solution containing 1…

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Q: Find the derivative (a) y = x²e-¹/x dx for the following functions: (b) y = (sin 5x) Vecos 5x+1

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Q: f(x) = √2-4 x+4

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Q: The length , width w, and height h of a box change with time. At a certain instant the dimensions…

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Q: Use the Chain Rule to find dz/dt. dt z = x² + y² + xy, x = sin(t), y = 5et = 2 sin(t) cos(t) + 5e…

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Q: 10. Investigate the behavior and sketch the graph of y = 12 - 5x - 2x².

A: The given function y=12-5x-2x2. We have to sketch its graph.

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = cosh (8x). (Use…

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Q: . Find the equations of the tangent line and the normal line to the curve 3r O at the point (0 A

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