Question 9 Find the slope of the line that is tangent to the graph of f(x) (E) None of the choices 2 -3/4 4/3 0 2x-3 30 at P(3/2, 0)

Q: Solve the ODE d²c dt² dc +4 = -2C dt at C(0)= dc dt = 1

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Q: (b) Find (f ¹)'(1) if f(x) = x² +5 sin " + cos2. (TTX) (X)

A: Solution to find the value of derivative of inverse of f(x) at x = 1 is as follow

Q: What is the final answer here. Please write the letter.

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Q: Use a local linear approximation to approximate the value of 6(1.99)2 +3.02 by a rational number.

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Q: 1. f(x) = x7.² + 2x². - x−5+4x − 1 2. g(x) = 5e* — x² + e 3. u = √√√√³+√t + t -

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Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

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Q: 3. xlny + ylnx = 1 a. y = y = x Y + x x² In x-y y² ln y - x y' = O b. xlny + y yylnx+x ( 21 x y = y…

A: Given,

Q: using the definition of Laplace, solve the ff: 1. L [cos at] 2. L [cosh at]

A: We have to use the definition of Laplace transform to solve  (1) L{cos(at)}

Q: hat is the scalar equation of the xy plane?

A: Given query is to find the scalar equation of the XY plane.

Q: Let f(x) = {ax² (2x + b differentiable (a) 1 at x = 1. x ≤ 1 x>1 (b)-1 . Find a so that f is (c) 2…

A: Here is the solution:

Q: Solve (x5 + 3y) dx - xdy = 0. O 2y = x^5 + cx^3 O 2y = -x^5 + cx^3 O 2x = y^5 + cx^3 O 2x = -y^5 +…

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Q: Consider the function f(x)=√x near x = 8. Find the linear approximation error when using the linear…

A: Given data:- The given equation, y=3x near x=8

Q: y = (2x5 + 7x)(2√x − 3)

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Q: y(3x² + y²)dx + x(x² + 3y²)dy = 0

A: Given differential equation is solved using homogeneous differential equation and then variable…

Q: S Radoptimal 5 find the limit and deternue of the functio is continous at the poult buy et…

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Q: Evaluate the definite integral. e 3 S²₁ dt = dt = 2

A: Evaluate the definite integral  ∫2e3tdt

Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: DERIVATIVE AS VELOCITY AND ACCELERATION Solve for the unknown/s 3. A particle moves horizontally…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (b) Express sin(cos x) in terms of x only.

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Q: y = 3x³-2 5x243

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Q: Below are the graphs of 6 functions A-F. There are also graphs of 5 derivative functions 1-5. Match…

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Q: 5. y = (2+ x)²(1-x)'

A: We need to find out the derivative of the function.

Q: Solve the problem. For some reason the quality of production decreases as the year progresses at a…

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Q: 2. Find dx/dy if y = √√√1+√x -4√√√√1+√T 4√√√1+√I

A: Given: So,      dydx=1+x'        =121+x1+x'        =121+x·12x        =14x1+x

Q: A tank initially holds 200 gal of brine solution containing 3 lb of salt. At t=0, another brine…

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Q: w = xy + yz + xz, x = r cos 0, y = r sin 0, z = re. Findow, when r = 2,0 = π/2. dw 20

A: Concept: Partial derivative: Let's say we have a function f(x, y) that depends on the values of two…

Q: Where did the -1/3 come from? Is it because the 3 is the nth root and the 1 is the one inside the…

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Q: Evaluate fi f(x) dx if f(x) = 06 O 12 O 14 08 (2x x-1 if x ≤ 3 if x > 3

A: We need to choose correct option.

Q: Using the limit-ratio test, showt that a) 3n+2 lg n+1 = 0(2¹gn) b) 2 = (n² + 2n)

A: The following results will be used for the given asymptotic relations will be used: Consider two…

Q: 5. Find the second derivative of f (x) (x² + 1)³.

A: Given query is to find the second derivative.

Q: Evaluate the integral using an appropriate substitution. 10e +e -x 10e* e-x S C dx = +

A: sunstitute   10e^x-e^{-x}=u

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: Let Persent number of bacteria =x Rate of grown number of bacteria=dxdt

Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by C(x) = 3x³…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is  where…

Q: For what values of a and b is the following function continuous at every x? 1 x≤-1 f(x) = ax-b -…

A: Given data: Function,  f(x)= 1                      for  x≤-1   ax-b             for -1<x<37…

Q: Solutions

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Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION

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Q: Exponential decay. Subsonic flight. The efficiency of the engines of subsonic airplanes depends on…

A: This is a problem related to exponential function. Please follow the procedure given below.

Q: Find the limit using lim 0-0 lim y →0 sin 12y 5y sin 0 0 = 1.

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Q: Find an equation of the line containing the given points. Use function notation to write the…

A: Find an equation of the line containing the given points. Use function notation to write the…

Q: For the given graph of the function f, -4 -2 4 2 -2 -4 2 on the left, 4

A: In inverse function the value of x and y interchange. and it is reflected about y = x a.

Q: (1) Given f(x)=2x+√x, find (ƒ-¹) (3)

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Q: Find lim x² sin X-0 O O Choose the correct answer below and, if necessary, fill in the corresponding…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: x--5 3. lim_log₂ (x) x-15

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Q: Using the four-step procedure in finding the derivative of O O -6 (√2x+2Ax+1)(√2+1)…

A: Topic = Derivative

Q: 89. y √3+ Vy 1- √5 3 √r + √2 5 95. Vx² + 1 - x 91. 91-96 Rationalize Numerator Rationalize the…

A: 94) [sqrt(x)-sqrt(x+h)]/[h sqrt(x) sqrt(x+h)].   95) sqrt(x2+1) -x 96) sqrt(x+1) - sqrt(x).

Q: Question 6 Given: y = (16+¹) Z -61² (16+74) 3 √16+t¹ 23 (16+) O (E) None of the choices -21² (16+¹)…

A: Solve for the dy/dt

Q: Find an arc length parametrization of r(t)=⟨e^t*sin(t),e^t*cos(t),9e^t⟩

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Q: 0.016t The population of a town is increasing at a rate given by P'(t) = 34 e where P is the…

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