Use Implicit Differentiation to find dy dx 5. 4cosxsiny = 1 6. xsiny + cos2y = cosy 7. If 4x² + 2xy + 3y = 9, find the equation of the tangent line at the point (2,-1).

Q: Answer the following questions: 1- Find the domain of f(x) = x²-4 x-2

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Q: x = 22t, y = 3t, z = 1+ t; x + 2y - z = 7 -

A: Topic:- algebra

Q: 4. 2x lim 1-2 x²-4

A: limx→ 22xx2-4

Q: Evaluate the integral. π/4 0 (sect tanti+t sin 2t j + sin³ t cos t k) dt

A: The answer is given below:

Q: y = f(x) N.K. X -1- (a) lim [f(x) + g(x)] (b) lim [f(x) = g(x)] - (c) lim [f(x)g(x)] -1 y 1 y = g(x)

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Q: Box your Final answer with a complete solution. Then Graph, emphasize the Limit. 3. x²+2x-8 lim 1-2…

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Q: Find the derivative of the function using the chain rule (not the "u" version)   *please use…

A: Disclaimer: According to our guidelines we cannot provide you handwritten solutions at the moment .…

Q: Solve the following differential equations. dy 9. 10. 11. dx dy dx dy dx = x³ + 2x 31X == = 4 cos 6x…

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Q: The amplitude of a sound source that modulates in time is given by r² √y x-t A(x, y, t)= where r and…

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Q: Evaluate the integral S 0 16- using trigonometric substitution.

A: Evaluate integral ∫x216-x2dx

Q: how to apply the chain rule the following equation Y=sin 5x/2

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Q: Differentiate. f(x) = ln(csc 5x + cot 5x)

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Q: Consider the following. f(x)= 12-3(1-x²)4/3 (a) Find f(x). f'(x) = (b) Graph both f(x) and f'(x)…

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Q: Help Entering Answers .Write the equation z = √² + y² in spherical coordinates. (Simplify as much as…

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Q: O In(e) O In(2) Ove Oe² What is ef'(2) if f(x) = In(x)?

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Q: Fencing a Field Consider the following problem: A farmer has 2400 ft of fencing and wants to fence…

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Q: For what values of m_and_n_will µ = x¹y™ be an integrating factor for the differential equation (−4y…

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Q: Total cost. A total-cost function is given by C(x)=2000(x2+2)1/3+700 where C(x) is the total cost,…

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Q: At what points is the function y = x+3 x²-11x+24 continuous? 1 Describe the set of x-values where…

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Q: 9 dx x² + x√x MA

A: ∫1u du = lnu+C ∫un du =un+1n+1+C

Q: Consider the following initial value problem: (t² – 20t + 51). dy Y with y(10) = 1. A. Solve the…

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Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 1. 2. 3. lim 1-3 x²-9 lim 1-3 √x+1-2 lim √x²+7-3 x+3…

A: We have to graph the function and emphasize the limit.

Q: A certain bacterial culture grows at a rate proportional to the number of bacteria present. If the…

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Q: dy Use Implicit Differentiation to find dx 5. 4cosxsiny = 1

A: Given, 4 cos x sin y=1

Q: Box your Final answer with a complete so Then Graph, emphasize the Limit. 2. lim I-3 x²+7-3 x+3

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Q: Solve the D.E. 1. (D²+1)y= 12 cos² (x). Solve using 2-ways. ANSWER: y = C₁ cos(x) + C₂ sin(x) + 6-2…

A: Differential equation

Q: The graph of f(x) is shown below. Which of the following statements are true? 8 7 60 5 4 3 2 1 M -8…

A: Ax x=6, limx→6-f(x)=limx→6+f(x)=f(6)

Q: Evaluate the integral. 2 X Jo x² + 4x + 20 dx

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Q: Find the solution: y (x + ysin) dx - xsin dy = 0 x

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Q: Find a path that traces the circle in the plane y =1 with radius r=4 and center (-5, 1, 4) with…

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Q: Find the (perpendicular) distance from the line given by the parametric equations x(t) 2 - 7t y(t) -…

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Q: 4. The picture shows the graph of cer- tain differentiable function f(x). (a) Find an equation for…

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Q: Sketch a graph of ƒ(x) = = 8 7 6 Clear All Draw: 5432 5 4- 7 -8-7 -6 -5 -4 -3 -2 -1 1 -2 234 -5 67 7…

A: given f(x)=2x+611.5x-5if     x≤-1if  -1<x≤4if x>4

Q: f(x)=square root x+7, g(x)=square root x-5 Find f-g and then determine the domain for the function

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Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t³…

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Q: dy Find dx dy dx for y= 1 13 X

A: We will find the required.

Q: Question 8 v Find the derivative of: - 4x + 6x⁹

A: Given question:- Find the derivative of   -4x8+6x9 Topic :- derivative

Q: The graph of f(x) is shown below. Which of the following statements are true? -8 -7 -6 -5 -4 -2 -1 8…

A: f(x) is continuous at x=a if limx→af(x) =f(a)

Q: The total cost (in dollars) of producing x food processors is C(x) = 2200 + 90x−0.5x². (A) Find the…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Use the table to evaluate the expression. f(g(2)) X f(x) g(x) 1 2 4 2 3 5 3 5 1 4 1 6 5 6 2 6 3 3

A: x 1 2 3 4 5 6 f(x) 2 3 5 1 6 3 g(x) 4 5 1 6 2 3

Q: Find the equation of the line L that passes throught point P( – 6, 2, 4) and Q( – 3, — 1, 5). - r(t)…

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Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given…

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Q: A spherical balloon is inflated with gas at a rate of 16 cubic feet per minute. How fast is the…

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Q: Use the average of the average rates of change over the left and right intervals at the given points…

A: The average rate of change at a point is given by, Rf'(x)=f(x+1)-f(x)x+1-xLf'(x)=f(x)-f(x-1)x-(x-1)

Q: 2 √ūdu = ²√ūd 2² √ua Making the substitution u = =x2-1 in the integral 2 [₁² x √x² - 1 da [²√ Select…

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Q: For f(x)= square root x and g(x)=x-1 find the following function (gof)(x) H HE

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Q: Find the solution of the differential equation (1 + y²)dx + (1 + x²)dy = 0

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Q: 1. Prove using index notation. ABC REF = AB (c@f) E¹: R ":"product is defined as where := Pij Qiz…

A: Given ......  A~B~c~ · D~E~f~ = A~B~(c~⊗f~)E~T:D~                 Where,…

Q: 1 If f(x) = find lim X h→0 0-1/160 O 01 O O 14 f(4+h)-f( h

A: Topic:- calculus