if u=f(x,y), x=g(w) and y=h(w), using chain rule, what is ∂u/∂w?

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

A: Suppose that x=c is a critical point of fx then, If f 'x>0 to the left of x=c and f 'x<0 to…

Q: The current population of a small town is 2848 people. It is believed that town's population is…

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Q: Solve the following triangle. B = 70°, C = 50°, b = 8 O A (Simplify your answer.) a≈ (Type an…

A: We will use law of sines to solve this question.

Q: Evaluate the limit: limo* [cos(3x)]= O e-3 03 e 01 ◄ Previous

A: To evaluate the limit.

Q: Given the graph of f, find any values of x at which f' is not defined. A 44 SOU OA. x= -1, 0, 1 OB.…

A: Solve the following

Q: u⃗=5i⃗−j⃗− k; v⃗=−i⃗+5j⃗+8k.  Find the projection of u ⃗ onto v :⃗

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Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

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Q: Use the implicit differentiation to find dy/dx. Then find the slope of the curve at the given point.…

A: By using the implicit differentiation to find dydx. Then to find the slope of the curve at the given…

Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: II. Anti differentiate the following. C. (ANTIDERIVATIVES OF TRIGONOMETRIC FUNCTIONS) (a) √ (cos r -…

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Q: Find y': Oy: Oy = Oy' = O y' y cos(xy)+1 x cos(xy)-1 x cos(xy+1) y cos(xy)-1 y cos(xy)+1 x cos(xy)-1…

A: To find the value of y' for the given function.

Q: Part b: (**) We consider the function f(x, y) = x sin y - y cos x + X-R y Find fx(x, y), fxy(x, y),…

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Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: 4 (a² - y²)² 4. g(x) = (3x² + 4x - 5)5 3. 2 =

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Q: -1 0 -t³+1 2 3+² e dt

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01² - 3x +229, where a…

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Q: The differential equation Find such a solution and then give the related functions requested. dy =…

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Q: If the first 5 terms of a geometric sequence are {12, 6, 3, the formula for the nth term in the…

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Q: Shouldn't the 6 be divided by a two, so f'(c) = 3?

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Q: Solve Problem 346 in section 4.7 of the textbook. In addition to providing the calculations, draw a…

A: Solution is given below:

Q: x(t) = £−1 x(t) = L−¹ S s² +5 3s² +9 4s ((s + 3) (s+5))

A: Last 2 question solved

Q: O ди If u = f(x,y), x = g(w) and y = h(w), using Chain Rule, what is aw O ди aw ди Əw || O all of…

A: u=fx,y, x=gw and y=hw

Q: Evaluate tan² (-a) se c5 (-a) da

A: Given problem:- ∫ tan5(-x) sec5(-x) dx

Q: Use the Comparison Test or the Limit Comparison Test to determine whether the following series…

A: We need to choose correct option.

Q: Find the derivative of the function. 1 + 20 20 20) (2-0) dr OA. de OB. dr de dr OC. de O D. dr ᏧᎾ 11…

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Q: integral of cos x sin^3 2 x dx

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Q: Solve the following initial value problem: with y(1) = 4. Put the problem in standard form. Then…

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Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

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Q: Answer the questions for the function f(x) = 3x - 24x³ C УР f'(x) = 12x - 72xX f''(x) = 36x²-144x…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: This question can be solved using the concept of the stated theorem 13.9

Q: f x 5 1x² =9) ² du for (x73)

A: This question is based on solution of indefinite integral by substitution method.

Q: Determine whether The given series M8 k=2 ខណៈ k=2 1 √k-1 1 √k-1 converges using the Comparison Test…

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Q: Integrate ze da Select one: O A. ex (2x-1) + C OB. e (x-2) + C O C. e* (x-1) + C O D. ex (x-3) + C

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Q: Which of the rectangles below are right rectangles? 25-4 20 15 10 63 BODEX 0 5 10 15 20 25 Select…

A: This question can be solved using the concept of estimating the area under curve using left and…

Q: Find the gradient of the function at the given point f(x, y) = 5x + 4y² + 1, (1,4) Vf(1, 4) =

A: Solution of given question is written in below steps.

Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: Given that the graph of f(x) passes through the point (5,10)( and that the slope of its tangent line…

A: Given , The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at…

Q: The directional derivative of f(x, y) = -xe²y – x³y at the point (0, 4) in the direction of the…

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Q: Б 2 dv v2.+ 6v - 7

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Q: E. (DERIVATIVES OF TRIGONOMETRIC FUNCTIONS) 1. If f(x) = secx + 3 csc r, then 2. If g(x) = x² sinx -…

A: To find the derivatives of the following functions.1 fx=sec x+3 csc x2 gx=x2 sin x-3x cos x+5 sin x

Q: 6. J 4 x4-1 -dx

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Q: The rate of change of N is proportional to 20 + N(x), where N < −25. If N (0) = 10, and N(2) = 25,…

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: Farmer Jones and his wife, Dr. Jones, decide to build a fence on their farm. Because Dr. Jones is a…

A: Follow the procedure given below.

Q: PART I. DIFFERENTIALS 1. √101

A: We can find the approximate answer as below.

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: Question 24 Which of the following statements is true about critical points? O It is a point in the…

A: We have to choose correct option for given question.

Q: 1. Find for 2³-y³+r²y = 10

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Q: 4) A ladder 20 feet feet long is leaning against the wall of a house (see figure). The base of the…

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Q: In reference to the following function,  f (θ) = (θ − 3) cos(θ) Explain why the graph of f lies…

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