dy Use implicit differentiation to find dx 2x - 5 3y? 2x +5 dy dx

Q: 5- y? = 4x (4, 4) y = 2x – 4 (1,-2) Using a horizontal element of area, the area of the shaded…

A: Here  we have to find the area of shaded region.

Q: f(x)=/1+2sin x j. f(x)=e" +4* +sinh(10x)

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Q: Evaluate the trigonometric functions at the special angles. Match the function with its value. 1.…

A: To Find : Values of the given functions.

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: Identify the function and interval which does not meet the conditions for applying the Mean Value…

A: We have to solve above question

Q: Which of the following is the differential equation of the family of Straight lines with slope and x…

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Q: 10 Evaluate S f(x)dx f(x) 4 X. 9 10 in

A: Given: And I=∫010f'xdx

Q: Let F(x) = f(æ*) and G(x) = (f(x))*. You also know that a' = 3, f(a) = 2, f'(a) = 8, ƒ'(a*) Then…

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Q: So ez dr. Write out the terms of the sum, but do not evaluate it: Sum = On another sketch, represent…

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Q: Solve the triangle. (Do not round until the final answer. Round angles to the nearest degree and…

A: sine and cosine rule

Q: Q3/ Find the limits 1. lim 2. lim Vx+2-1 X-1 х+1

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: find the area of the shaded region

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Q: If f(x) = 4/@ln(æ), find f'(x). %3D Find f'(2). Submit Question

A: Given query is to find the value of the derivative at indicated point.

Q: Given: a = 22, c= 24.1, zB = 6T C a A Solve the triangle. (Do not round until the final answer.…

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Q: 9.

A: Given,  y=2x+x4-9x+3

Q: Find an explicit formula for an. 1 1 4'9' 1 1 14) 1, 16' 25

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Q: Consider the function f(x) = cos(3 x). (a) Give the derivative of this function. f'(x) = | (b) Find…

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Q: 1. For the curve x2y2 = 25 at (-1,-5), find the equation of the normal line.

A: The given curve is: x2y2=25 Differentiating it with respect to x: y22x+x22ydydx=0 at (-1,-5):…

Q: Determine the area of the given region. y = x + sin x y 4 3

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Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t?j…

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Q: 16X

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The volume V, in liters, of air in the lungs during a three-second respiratory cycle is approximated…

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Q: Find the general solution of the differential equation dx = xin (xy)

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Q: b) Find the general solution to the differential equation

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Q: If f(x) = (x2 + 5x + 8)*, then f'(x) = f'(5) =

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Q: The differential equation (x²y-2x- 3)dx+ 2dy=0 O Linear in y Linear in x O Homogenous O Exact

A: Given a differential equation

Q: Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the y-axis. What is…

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Q: I. Show that the function f defined by (1, y) = (0,0) %3D f(r, y) = (1, y) # (0,0) I+ y is not…

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Q: P7: x3 + x – 1 x(x – 1)(x + 5)²

A: The given problem is solved below in detail.

Q: sech2(In x)

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Q: 1 is convergent or 1) Use the Integral Test to determine whether the series divergent. ' (3n– 1)?…

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Q: Find the general solution of the given ODE x +1 y': y* +1 x? + r- - y? = x +4x + k Option 1 O Option…

A: integration

Q: The equation of the line passing through the point (– 3, 7) with slope zero. A. x = -3 C. x = 7 D. y…

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Q: Use the integral test to determine the convergence or divergence of the series. 1 20) E k = 1 6k- 1

A: Let's find.

Q: Determine whether the sequence converges or diverges, and, if it converges, find lim an. n-00 3 - In…

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Q: a) Find the general solution to the differential equation f"(x) = e8x + 3x – 1 1.

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Q: ind all the relative extrema and saddle points, if any, of the given function below: f (x, y) = ln(x…

A: Relative extrema and saddle points: Consider the function f(x,y)For critical points , fx(x,y) = 0…

Q: Solve for the differential equation: dy/dx - ytan x = cos x

A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

Q: Use the chain rule to find the derivative of 16 f(2) = 2(– 3x0 – 52)" You do not need to expand out…

A: Given: f(x)=2-3x10-5x916

Q: Given: a= 22, c=24.1, zB = 67 C A Solve the triangle. (Do not round until the final answer. Round…

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Q: Find the general solution of the given ODE * dy 3z+2y dr 3= -23x+2y +c 2=-23x+2y +C O Option 1…

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Q: Assume x and y are functions of t. Evaluate dx = 9, x = 3, y = 0. for 4xe = 12 - In 729 + 6ln x,…

A: Given query is to find indicated derivative.

Q: is a function of K, and y, and tan - z*e®Y.

A: Given problem:- Z is a function of x and y tan√(y2+x2) =zx e6y  To find:-

Q: P8: sin x cos x (2 sin x – 1)(sin x + 1)

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Q: Find the absolute maximum/minimum value for f(x)= x² – 4x +1 on the interval [-3, 3]

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Q: Find the area of the shaded region. y = x² + 1 ... 5 y = x -1 2.

A: In given problem we find the area by using the Definite Integration .

Q: 1. (sin x(cot x) = cos x OSX L.S. R.S.

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Q: dx J1- ² 2x + x°

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Q: 20. The length of a rectangle is increasing at a rate of 5 cm/sec and the width is decreasing at a…

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