The general solution of + y tan x = sec x is dy dx A B (C) (D) y (sin x 1) = C y sec x = cotx + C y = sec x + C sin x y= sinx + C cost

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Q: Solve the following initial-value problem: 3 y'=x³ - 2xy; y (1) = 1 2y=x²-1+2e¹-x² 2y²=2x²-1+e¹-y²…

A: We will find the required solution.

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Q: Question 16 Textbook Let f(x) = X x + 8 . The greater solution is a = The lesser solution is a =…

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Q: Find the slope of the tangent -x² + 2xy + 2y³ = - 13 at the point (-3,-2).

A: Recall: Slope of the tangent line is dydxat given point

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Q: Make a sign diagram for the derivative of the function. = x4 - 8x³ + 18x² = f'(x) ? 0 f(x) increase…

A: Given a function f(x).

Q: af What is the dy of f(x, y) = tan (x²y³ + 2xy)?

A: The given function is; f(x,y)=tan(x2y3+2xy).

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point (4). The equation of…

A: GivenThe equation of curve is y=8sinx   And we are required to find the values of m and b

Q: Find the limit, if it exists, or type 'DNE' if it does not exist. lim e√4x²+1y2 (x,y)→(4,3) =

A: limx, y→4, 3e4x2+y2Plug in the value x, y=4, 3=e4· 42+32=e73

Q: Question 6 , but do not evaluate, an integral for the arc length of the curve /= cos(x). Set up,…

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Q: Find the solution of the initial value problem +6y=3u(t-5), y(0) = 0, '(0) = 0, 0. y"-5y where u(t)…

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Q: f(x) = 3x².³√x² + 5t +e" find the derivative

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Q: Let f(x, y, z) = 4xy – z², x = 5r cos(0), y = Use the Chain Rule to calculate the partial…

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Q: Find the derivative at the specified point. Hint: first find an expression for f'(x) and then…

A: Given that f(x)=ex -(i)Our Aim is to find an expression for f'(x) and then substitute x=10 intothat…

Q: Suppose that f(x): f'(2) = = 4x e x² + 4 Find f'(2). (Round your answer to two decimal places.)

A: Given function :- fx=e4xx2+4

Q: 1. Set up the difference quotient for the following derivatives, then calculate the limit without…

A: NOTE: Refresh your page if you can't see any equations. . here we have a=x=7 . now substitute…

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Q: Find the directional derivative of f(x, y) = ln(xy) at (,) in the direction of .

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Q: Suppose f(x) = 4(x - 9)-¹/2. (a) Find f'(x). f'(x) = X X # (b) Find an equation for the line tangent…

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Q: What is the af dy of f(x, y) = tan (x²y³ + 2xy)?

A: Topic- Partial differentiationf(x,y)=tan(x2y3+2xy)we know that,ddx(tanx)=sec2xddxxn=nxn-1 We are…

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A: The given function hx=4-4x3 We have to find the equation of the tangent line at the point 3,-104

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Q: Let f(x) = √8x. Find f'(x). f'(x) =

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Q: Determine the type of DE (select all that applies): dr do +rsece=cose Linear Exact None of these…

A: Given Equation:- drdθ+rsecθ=cosθ

Q: If f(x) = 25x + 12, find f'(-5).

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Q: II. Determine whether f(x) = = 0. 5x2 + [x]] +1, -5x² + tan(x²), x 0 is differentiable at x = (Hint:…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed.) S cos(2x)…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: If f(x) = 4x² - 6x + 6, find f'(4). Use this to find the equation of the tangent line to the…

A: To find the equation of tangent line.

Q: Find the limit, if it exists, or type N if it does not exist. (Hint: use polar coordinates.) 9x³ +…

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Q: 5x-3 Find the equation of the tangent line to y=; at 3x-5

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Q: Differentiate f(x) = f'(x) = - Submit Answer ment-Responses/submit?dep x5-x+1 x³ +8 3 Viewing Saved…

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Q: c) fx².e-x dx d) f cos √x dx e) e ³0 cos e de

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Q: What is the A B (C) D af - of f (x, y) = tan (x²y³ + 2xy)? dy [ sec 2 (x2y3 + 2xy (2 xy + 2y) 2 [sec…

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Q: Find the particular solutions for the following: y² + 1 y dy x dx x² +1 (a) given that y ≥ 0 and y =…

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Q: = √√2, r= √√2, S,

A: Topic:- sequence and series

Q: III. Find the equation of the tangent line to at the point (7,0). ㅠ ye* + cos x = sin x +sinh(2 . −…

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Q: -B 1 Given v= the value(s) of a. is an eigenvector of M-1 where M = 21 1 12 1 1 12 compute

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Q: Find the derivative of: (972)2. [Hint: expand first.] Now, find the equation of the tangent line to…

A: Given query is there find the derivative and the tangent line to the curve.