Match each function with its derivative. y dy dx ха X a. cos x b. In a • a* ✓ax C. sin x - ✓sin x d. ex COS X e. a. BR ха-1

Q: y = 2', y= 3z, about the line x = 3 can be computed using the method of washers via an integral V =…

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Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: Consider the function. f(x) = x? - 2 (a) Find the inverse function of f.

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Q: w= (2,5) v=(4,2) w+v If we add the two vectors, what’s the correct visual representation of that…

A: SUMMATION OF VECTOR  first vector put as it is  after second is put on head of first vector and…

Q: 42 2.

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Q: Over the interval shown above, the associated marginal cost is... O Increasing, then decreasing O…

A: given

Q: Differentiate with respect to x y = e" cos(x²) e* (cos(x*) – 2x sin(x²)) e* cos(x²) – 2x sin(x²)…

A: y =excos(x2) dy/dx = excos(x2) -2xexsin(x2)           =ex(cos(x2) -2xsin(x2)) option 2 is right…

Q: Use the shape of the graph to name the function. Standard cubic function Constant function Identity…

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Q: Let f be the R 2 − R function defined by f (x, y) = ln xy and let r be the R − R 2 function defined…

A: Given

Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) = 2.F(s) (s…

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Q: The function f(x) = x² - 16 The function f(x) = lxle f''(x)f"(x) changes sign at c=0c=0 f''(x)f"(x)…

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Q: Let u = (– 2, 4, 0) and v = (– 1,0, – 3). Find the angle 0 <0 < 180° (in degrees) between u and v.…

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Q: 4. If y = x cos x determine the 5th derivative. [y6) = (60x – x³) sin x+ (15x? – 60) cos x] |

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Q: Find the area of the surface generated by revolving the curve about the given axis. x = 2 cos(0), y…

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Q: Integrate the function f(x,y)=(2x+3y+9) when y from 2x to 1 and x from 0 to 1 is Select one: O a.…

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Q: What is the difference between "countably infinite" and "uncountably infinite"?

A: We have to write the difference

Q: Consider the curve defined by the equation y = 3x + 4x. Set up an integral that represents the…

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Q: 4. Find the partial fraction decomposition of 1 x2 + 2x - 8

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Q: :- 2)³. (2x + 1)* if y= 2x. 3x+8 dy Use logarithmic differentiation. Find dx

A: We know that power rule of derivatives is given as - d(xn)/dx = nxn-1.     Here i attached the…

Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n-5 Ps(x) =

A: In this question, we want to find the maclaurin polynomial of the given function when n=5.

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Given query is to find the function.

Q: Let f(x) = ln(x² + 2x + 3) f'(x) =

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Q: 8. If y = (x³ + 2x²)e2* determine an expansion for y(5). [y(5) = e2*2*(2x³ + 19x² + 50x + 35)]

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Q: Let f(x) = 3 ln(sin(x)) f''(x) =

A: topic- double derivative of a function

Q: of Find and dy f(x.y) = /2x + 3y? df (Type an exact answer, using radicals as needed.) dx II

A: We can solve this as follows:

Q: Shen is driving to Phoenix. Suppose that the distance to his destination (in miles) is a linear…

A: This question is related to linear equations, we will solve it using given information.

Q: An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: Let the width of rectangular region be ' w '

Q: 2x +4y + 4z = 6 2y+3z = 17 -x + y - 4z = -16 %3D

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Q: 5元 3) 3 S元 6. 0- 7元 11元 6. 6. 4元 3 元一6 3. R一3 2. 如一2 R一2 3. 与一3

A: Given polar coordinate is 2,5π3. Choose the circle with radius 2 and then the given angle.  The blue…

Q: 2. Evaluate xy(z + 2) dx dy dz 1J0

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: 1 4. Find the maximum value of f (x) = In(x- Inx) on the interval-<x<e. e

A: Given problem:- Find the maximum value of ƒ (x) = ln(x−lnx) on the interval 1/e≤x≤e

Q: Hiws find the integral of the Pouction fix y1= over the region betwein the twe circles of rading 2…

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Q: Adah has just bought a new motorcycle for $15 000. The value of the motorcycle depreciates over…

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Q: Find dyldx at x = pi/3* y = sinh'(2x) O 0.8617 O 0.6817 O 0.6871 O 0.8671

A: This question is based on chain rule differentiation.

Q: correct

A: We will find the points.

Q: Let f(x) = 4ln(4x) f(x) = £' (5)

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Q: = 1 and z = g(x, y) > 0. Determine gz 23 2/2, Suppose 3x2 + 2y² + z2 and gy 2/3' 2/2

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Q: 7. (a) y(4) when y 2ln 30 1 (b) y() when y= %3D In 2t %3D

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Q: Use the graph of g(x) to answer each question. (a) Find the domain and range of g(x). Write the…

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Q: Find the radius of convergence and interval of convergence of the series. (r+8)" R = I = ?v

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Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

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Q: 2-]x³.e* dx 3- S x².cosx dx

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Q: Find the equation of a plane through the points (6, – 4, 4), (3, 6, – 4), (4, – 8, 3).

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Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Let's find rate of the increasing the  volume.

Q: solve

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Q: Find all the second order partial derivatives of g(x.y) =xy +5 sin (y) + 4y cos (x). please solve

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Q: Find the curvature of the curve F(t) = (cos(5t), sin(5t), 3t) at the point t

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Q: What is the allowable error in measuring the edge of the cube that is intended to hold 8 cu.m. if…

A: Given problem:- What is the allowable error in measuring the edge of the cube that is intended. to…

Q: Find the arc length of the curve y = (e²+ e) from x = 0 to z = 2 Length:

A: Given  its derivative