Given y = f(u) and u = g(x), find = f'(g(x))g'(x). dy dx y=% U=COS X dx =

Q: 1. Evaluate the following expressions. Round your answer to 4 decimal places. a) log, 17

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

Q: The function f(x) = 2x³ − 33x² + 168x + 7 has one local minimum and one local maximum. Use a graph…

A: Topic - local maximum and minimum value of a function. note: as per battleby guidelines, We are…

Q: A particular type of bacteria is found capable of doubling in number 49.4 minutes. every N of…

A: Topic- Exponential function We are given,the number N of bactria present after t minutes…

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Q: Find the linearization. L(x) of f(x)=x² +1/x a+x= 1₁

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Q: Consider the differential equation p2x'' - p(p + 2)x' + (p + 2)x = 0 such that p is positive. If…

A: We have to find second solution of the given differential equation                        p2x'' -…

Q: 2x +3 x²-9 da

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Q: Find the solution of the following differential equation. 1. (x² - 1) + 2y (x + 1)²

A: As per our guideline we can solve one question you can repost other question

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Q: Write Z₁ and Z2 in polar form. Z1 = Z2 = Z₁ = 2√3-21, Z₂ = −1 + i Find the product Z₁²₂ and the…

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Q: A ball is thrown upward in the air, and its height above the ground after t seconds is H(t) 58 t…

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Q: Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. There were 35,000…

A: Given query is to find the system of equations.

Q: Use differentials to approximate √3.99

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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) =

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Q: Selve the following equa 2 Buen DH. ander Re Benze. Xehr...). ....

A: according to bartleby guideline we do only first part      x2dy+(2xy-x+1)dx=0    given equation is…

Q: use the appropriate compound interest to find the amount after 4 4 years the account. io 21,000…

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Q: The parabola y=(1/2)x² divides the disk x² + y² ≤ 8 into two parts (see figure). Find the area of…

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

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Q: Find the maximum rate of change of the function at the point, and find the direction in which the…

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Q: Find the equation of the tangent plane to f(x, y) = exy + xye¹-x at (0,1).

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

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Q: Consider the following infinite series. Complete parts (a) through (c). 2 13K-1 Σ k=13k a. Find the…

A: Given data, ∑k=1∞32k-1

Q: Factor the polynomial and use the factored form to find the real zeros. (Enter your answers as a…

A: Here we have given a polynomialp(x)=x4-3x2-4. Now let x2=t ⇒p(t)=t2-3t-4 Now using the Quadratic…

Q: 1. Determine if the following series converge or diverge. Make sure you state which test you use to…

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Q: Write f(x)=3x^3-3x in terms of y

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Q: X Consider the function f(x) = x2x+9 The absolute maximum of f(x) (on the given interval) occurs at…

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Q: 3 Find y" if y=4x° +3x³ −8x³ +6x² +15

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Q: 1 2²-1 x²16 da

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Q: The answer wasnt correct

A: Given; f(x,y)=xy, point (-4,-1) and direction is <-3,-5>.

Q: 238. [T] sin(x)y + cos(x) = 2x 239. [T] √x² + 1y = y +2 240. [T] xy+2r2y=x+1 Solve the following…

A: To solve Differential equation.

Q: Find the derivative y'(x) implicitly for the equation y' (x)= 3y-2y 3x+7+3y 3x+7 = 2x+jr²³.

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Q: Find fx(x,y) and fy (x,y). Then find fx (2, -1) and f,(-1,0). f(x,y) = -4 e 8x-3y x(x,y) =

A: Topic:- application of derivatives

Q: Find all of the following for the function y = x¹ ex a. x-intercept(s) b. y-intercept(s) C.…

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Q: In the previous Problem Set question, we started looking at the position function s(t)st, the…

A: Consider the position function s(t)=e5tsin(7t)   Formula  v(t)=ddt(s(t)) Product rule of derivatives…

Q: 7. Use the chain rule to solve each problem: θω (a) Find for w= x² + y² + z², where x = st, y მs s =…

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Q: Which of the following is true regarding (2b) given the piecewise function f(x)= Of(2b)=-g(2b)…

A: Please see the below picture for solution.

Q: Give two points, as ordered pairs, that are not in the domain of this function.

A: Domain: A set of values for which the function is defined is called Domain of the function. So the…

Q: Find y" by implicit differentiation. 2x² + y² = 9 y" = x

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Q: Give your final answer in interval notation. Find (by hand) the intervals where the function…

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Q: Find all second-order partial derivatives for the function r = In |5x+y|.

A: Given function:- r=ln5x+y

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.01q² + 6q - 46, where q…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: we will find the required.

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

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Q: 8.) What is the 20th derivative of y=sin(2x)?

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Q: Consider the function f(x) = 3x² - 2x +9, 0≤ x ≤ 10.

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Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

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Q: Linear

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Q: -9 -8 (-inf,) -7 -6 -5 -4 -3 a. Select an x-value in the first interval, (-∞, - 2/2 ): -2 -1…

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Q: Calculate Duf( – 4, − 4, 1) in the direction of 7 = f(x, y, z) Round your answer to four decimal…

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Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. BD…

A: Given matrix:- B=374-9012 D=3-41284107-10