If 5x² + 4x + xy = 4 and y(4) = -23, find y'(4) by implicit differentiation.

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Q: Direction: Find the complete solution of differential equation and use typewritten.…

A: Given differential equation  (x+4y3)dy -ydx=0 (x+4y3)dy=ydx(x+4y3)y=dxdyxy+4y2=dxdydxdy-xy=4y2

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Q: 18) An amount of $2000 is invested in an account for 4 years that earns an interest rate of 2.25%.…

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Q: Let y = f(x), where f(x) dy = ▪▪▪▪ 7 B tr Find the differential of the function. 21x³ 2(x³ + 7) (3)…

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Q: Find a) any critical values and b) any relative extrema. 3 g(x) = -x + 27x-52 a) Select the correct…

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Q: Evaluate the indefinite integral: 1 = x² + 3 √x². x² +9 Note/hint: You may use the answer from an…

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Q: Verify that the function u = 1/(x2 + y2 + z2)1/2 is a solution of the the three dimensional Laplace…

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Q: Give the equation for the function which would have graph shown below. Use f(x) for the output. مومن…

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Q: 4. Suppose 4z² + 3xy + y² = 14, where both z and y are functions of time, t. At the point (1,2), -1.…

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Q: Consider the sequence {an} = {1/2n}. d. The sum of all terms in the sequence is defined as the…

A: Given sequence is an=12n

Q: Find the minimum value of f(x, y) = x - xy + 2y2 subject to the constraint x - y = -1.

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Q: Classify the critical points of the function f(x, y) = 2y³ - 3y² - 36y + 4x³ - 12x

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Q: How do I get 2y*dx/dt + (-4xy + y' * x^2) = 0 and y' = (1/ x^2)(2xy + y - 1)?

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Q: 17. S w³ew² dw 10

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Q: 8. For what values of p does 10 1 XP dx converge?

A: Convergence and Divergence: When the limit exists and its value is a finite number then it is known…

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Q: The two vectors u = and v =: Select one: have the same direction O have the same magnitude O have…

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Q: Let M = (z + 1)ex−(y^2), x = 2uv, y = u − v, z = u + v, compute ∂M/∂u, ∂M/∂v when u = 0, v = 0.

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Q: 10. A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/s. Find:…

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Q: 1 n=02+37 The series O True O False converges.

A: The series ∑n=0∞12+3n converges. We have to determine the series is converges or not.

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Q: Compute the derivative function of f′(x) algebraically. f(x)= 1/x+1

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Q: -11-3/7-3- ww X PAUSEOT B (A) Find the partion numbers of (a) (Enter your answers as a…

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Q: 19) An investment of $5000 grows to a value of $7500 in 4 years. What is the interest rate of the…

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Q: Find the Derivative for the following functions ( 1) y=e6x² 2) f(x)=(x²+2)e*

A: To find the derivative of the following functions. (1) y=e6x2 (2) fx=x2+2ex

Q: In Exercises 7-10, complete the table to estimate the limi numerically. 7. lim x-0 X f(x) 8. lim x-3…

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Q: i. f(2) ii. iii. iv. V. vi. Given the graph of f(x) at the right, determine the following: lim f(x)…

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Q: Find the gradient of f(x, y) = e²²-y² + xy² at the point (1,1). Enter your answer in component form.

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Q: Σ Π=1 n+1 lim 1-00 απ gn = O converges O diverges O inconclusive

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Q: a) 1+2i -2-i

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Q: The projected year-end assets in a collection of trust funds, in trillions of dollars, where t…

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Q: Write an iterated integral for bounded by y=ex, y=1, and x = In 4 using a. vertical cross-sections,…

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Q: If f(x) = 7 arctan(3x), find ƒ'(x). Find f'(1).

A: Given query is find the derivative of the function.

Q: Exercise 1 Let f(x) = arcsin ( i) Find the domain of f, its sign, eventual symmetries, limits and…

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Q: 5. Find the second derivative of the function. Simplify. f(x) = sin(x) 1+ cos(x)

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Q: Let f(x) x-1 z+1' (a) Evaluate f¹(3) = (b) Evaluate (f ¹)'(3) =

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Q: Give inequalities for r and which describe the region below in polar coordinates. (Click on the…

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Q: Sőt x Wo Son Xx 2

A: Please see the below picture for detailed solution.

Q: 1. Short answer. If h't is the rate of change of a child's height measured in inches per year, what…

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