9.) If y=xe, then find d" y dx" 10.) Find h'(x) if h(x) = f(x³).

Q: ces Find the linear approximation at x = 0 to show that the following commonly used approximations…

A: we will find the required.

Q: Consider the initial value problem Suppose we know that y(t) → 0 as t → ∞. Determine the solution…

A: We need to solve D.E.

Q: The graph of f(x) = 4(x - 1)² - 4 is a parabola that opens upward ✔value of f. Need Help? Read It ✓…

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Q: In 1997, researchers at Texas A&M University estimated the operating costs of cotton gin plans of…

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Q: Question Let h(x) = f(x)g(x). If ƒ(−6) = 4, ƒ' (−6) = −2, g(−6) = 2, and g'(-6) = 5, what is h'(-6)?…

A: Use product rule of differentiation.

Q: = 9,g(-1) = -7, and is h' (-1)?

A:

Q: A boat is towed toward a dock by a cable attached to a winch that stands 6 feet above the sea level.…

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Q: 1+tan^2x/sec^2x-sinxtanx/secx-cos^2x

A:

Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: The auxiliary equation of y"" - 4y" - 4y' + 16y = 0 is r34r²4r + 16 = 0. The auxiliary equation has…

A: Given; f(r)=r3-4r2-4r+16 , [-0.75,3.75].

Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. BD…

A: Given matrix:- B=374-9012 D=3-41284107-10

Q: Calculate Duf( – 4, − 4, 1) in the direction of 7 = f(x, y, z) Round your answer to four decimal…

A:

Q: The graph of a quadratic function with vertex (-2, -3) is shown in the figure below. Find the domain…

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Q: e 13 X-1 =(e)x Solution set 11

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Q: rotate the point (2,8) by the (3/5,4/5) about the origin (0,0). (3/5,4/5) is on the unit circle.

A: Given data, Point A(2,8)

Q: e. A manufacturer determines that when x (THOUSAND) units of a particular commodity are produced,…

A:

Q: 5) The manager of a Fast Tech store has found that the rate of sales (in hundreds of dollars per…

A: Given Table:- Number of days =t 0 5 10 15 20 Rate of sales 50 48 40 37 32

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = [0, 9] X x²…

A: topic - Application of derivatives We are given, f(x)=xx2+25  ,[0,9]we know…

Q: f(3) = 0 f has a horizontal asymptote at y = 2 f has vertical asymptotes at x = 4 and x = - 4 f(0) =…

A: We need to create a function.

Q: 17. y = x² 1 + log x

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Q: 2. 6-13x + 5x² 4. m¹m² - 12

A:

Q: Find the particular solution of the differential equation satisfying the initial conditions y(1) =…

A: Given differential equation:- x2y''+5xy'+13y=0

Q: . (tan¯¹(t),e¯² Evaluate lim (tan-¹(t), e-2t, Inty t→∞

A:

Q: Question 8 Solve the given differential equation (where the function is subject to the given…

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Q: The function f(x) = 2x³ − 33x² + 108x - 7 has two critical numbers. X = (enter the values separated…

A: Topic- Application of derivatives We are given, f(x)=2x3-33x2+108x-7we know that critical numbers…

Q: 2. Given: f(x) = X (x - 1)² - with f'(x) = = -x(x²-3x+4) (x - 1)³ and f"(x) = = 2x + 4 (x - 1)¹* (a)…

A:

Q: Calculate directional derivatives and gradients in three dimensions. Find an equation for the…

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Q: Use the Laplace Transform to solve the given initial value problem. y" + 2y' + 5y = 0; y(0) = 2,…

A: The given equation is; y''+2y'+5y=0, y(0)=2, y'(0)=-4.

Q: Answer

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Q: Give an example by sketching the graph of a function f that satisfies all the given conditions.…

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Q: Find r(t). u(t). r(t) = (3t − 6)i + ¹⁄t³j - + 1⁄2 +³₁ + 2k u(t)= t²i6j + t³k r(t) u(t)= 2

A:

Q: Determine the directional derivative in a given direction Please show your answer to at least 4…

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Q: Find the minimum distance from the point to the surface  z =    4 − 2x − 2y.  (Hint: To simplify…

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Q: Evaluate Answer: 5 8 In y [ [³ S 1 1 xy dy dx.

A:

Q: The inflection points of the gra with green circles. Find all in- when the particle has a negati

A: Acceleration is given as the rate of change of velocity with respect to time.

Q: Given the graph of f(x) above, determine the real zeros and state the multiplicity of any repeated…

A: here the question of graph and function zeros  here we have to find the zero of the function  it…

Q: Test each of the following equations for exactness and solve the equation. The equations that are…

A: Use exact equation method

Q: Find ged(1326, 819) using the Euclidean algorithm.

A:

Q: 4.Evaluate y' for y = cos8x-1 sin8x and simplify the answer

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Q: 2. Separation of Variables Determine which of the following differential equations are separable. Do…

A: according to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 2x - 4 Find f ' (x) using the definition of the derivative: f ' (x) = lim h>0 f(x+h)-f(x) / h

A: Given query is to find the derivative using definition.

Q: If y=xe, then find d" y dx"

A:

Q: Use the graph to locate the absolute extrema (if they exist) of the function on the given interval.…

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Q: Let z(x, y) = xey where a = Calculate da dt = = = t³ & y = 2 + 2t. dz dt = dy dt Now use the chain…

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Q: 3. Compute 82 f + 0x2 8 f òy2 for the function f (x, y) = ea sin (ay).

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Q: 1. Let x₁0 for all ne N. (a) If xn0, prove that √x -0. (b) If xn →x, prove that √√√√x.

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Q: The general solution to the DE in the initial value problem (IVP) 4 (y" + 6y' +9y = 0 y (0) = 1…

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Q: Find the inverse transform of the given function of s. 3s + 8 s2+8s + 20 F(s)--

A: Follow the procedure given below.

Q: ind y" if y tan x. A] 2sec²x tan x D] 2 sin x + 2 cos x [B] secx tan x [E] sec x tan²x [C] 2 cos x…

A: y=tan(x)    ddx(  tanx ) = sec2x

Q: - Let C be the curve defined by R(t) = (2e²t - 3,1 - e²t, 2e²t). i. Find a vector equation of the…

A: