Find the derivative of the function. g(x) = 4eVx g'(x) =

Q: 1a)Find the length of the curve: x=t^3,y=3t^2/2; 0 ≤ t ≤ 224 b) Find the length of the curve: x=t^3...

A: Given,  a) x=t3,y=3t2/2 b)x=t3,y=3t2/2.

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

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Q: 2. y=cot1-2x 3. y=log22x*

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Q: Given cos(a) 55 and a/2 < a <r and sin(B) - and B is in quadrant III. Use sum and difference formula...

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Q: The curve -4x – 3y³ – 7x + 5y = 2 is shown in the graph below in blue. Use the graph below to draw l...

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Q: Find the curvature of the curve at the given position. r(1) = (r, t², 31), at t=1

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Q: Use the quotient rule to find the derivative, h' (x), of the following function. 3x h(x) 8- 5x Provi...

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Q: Evaluate the integral. 3. (In(x))² x3 dx 1

A: I am attaching image so that you understand each and every step.

Q: x² – 49 .2 if x + -7 f(x) : x +7 -12 if x = -7

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Q: 6. f(x) = Vx – 1

A: This question is based on solving 0/0 indeterminate form using L Hospital rule.

Q: 6. Checked state can be used by: Combo Box Radio button and Check Box Check Box Radio Button

A: This is the question having straight forward answer. 

Q: Determine the positive real root of In(x) 0.7 using three iterations of the Newton-Raphson method, w...

A: Using Newton rapshan method

Q: Öptimal Chapter-Flight Fare If exactly 218 people sign up for a charter flight, Leisure World Travel...

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Q: Consider the differentiable functionf with f(4) =; and f'(4) = If g(x) = f(x²), then gʻ(2) = А. 1 B....

A: Given : f(4) = 1/2 f'(4) = 1/3 g(x) = f(x2) Find g'(2) = ? g(x) = f(x2)          (given) Differentia...

Q: Evaluate the integral. (Use C for the constant of integration.)   integration 8 csc4(x) cot6(x) dx

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Q: Because of medical technology advances, the disability rates for people over 65 years old have been ...

A: Here, the given function is: R(t)=26.3e-0.011t...(1) which is disability rate in percentage at t is ...

Q: A potato is launched vertically upward with an initial velocity of 147 ft/s from a potato gun at the...

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Q: 2. f(x) = x5

A: From the definition of the derivative; The expression for the derivative of the function is: f'x=lim...

Q: 7) sinh 2xdx 8) fcosh vdv 9) f cot ydy pai4 sec? Jwdw

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r ...

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Q: 1. f(x) = -2x – 1 %3D

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Q: 1. In Figure 3, RK is the angle bisector of 2ORC. a. Name the postulate/theorem that justifies the c...

A: Find your answer below 

Q: If, a) logx5 32=1, then x=  b) 43x+4=18, then x

A: Simplification

Q: equation 6 = 2*.

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: 2x + 200 A garden shop determines the demand function q = D(x) = during early summer for tomato plan...

A: Elasticity

Q: 28) S idx=f /2dx, 28) B)5/2.C D)글지/2.c 29) J 3.²dx=. 29) A) x3 B 3x2 + C C) 6x + C D) x3 + C 30)5sin...

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Q: Evaluate the tollowing Integral csc “(+w)cot" (+w)d 4

A: Problem is related to integral of the function based on the trigonometric concept. General formula o...

Q: The polynomial of degree 3,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at...

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Q: S cos³y sin³y dy 3.

A: Given,            ∫cos3ysin3ydy

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: Given problem:- Evaluate the integral using the indicated trigonometric substitution. (Use C for the...

Q: Evaluate the Following Integrals 4 sec" (2) at tana (24)

A: Given problem :-

Q: 2. Find the equation of the plane tangent to the elliptic paraboloid z = point (1, 1,3). 2.a2 +y, at...

A: To find out the equation of the plane tangent to the elliptic paraboloid. 

Q: 4. y = (3x + 1)(-4x² – 3)* (23+4)5 3x-2 5. y =

A: This is a question of differentiation. Please follow the procedure given below...  As per bartleby p...

Q: 4 cV16-x² 3. Evaluate the integral L-rz(4 –- x² – y²)dy dx by first converting it to | /16-x² polar ...

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Q: Evaluate p dA, where Dis the shaded part inside the semicircle of radius 2 in the figure. y = 4- (Us...

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Q: Suppose that a population follows a logistic growth model.  The population in the first year is 21.7...

A: Given:    Data is given

Q: Find the Maclaurin polynomials of orders n= 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A: To find the Maclaurin polynomials of orders n=0, 1, 2, 3, and 4 and then to find the nth Maclaurin p...

Q: I. Identify the coordinates of the end of the vertices of the major and minor axis and foci of the f...

A: Let us consider the standard form of the ellipse, (x-h)²/a² + (y-k)²/b²= 1 Then (h,k) is the center ...

Q: 1. Find the directional derivative of f(x,y) = In(a2 + y²) at the point P(2,1) in the direction of t...

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Q: 2 1 - Find the eigenvectors of the matrix

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Consider the differential equation dx æ(7 – 6t)e³t dt x + 6 (a) Identify and state the dependent and...

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Q: 1. In Figure 3, RK is the angle bisector of 2ORC. a. Name the postulate/theorem that justifies the c...

A: Note: According to our expert guidelines only first individual question is to be answered.kindly rep...

Q: Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative ext...

A: Given: - The function is, y=3x-x2+8 To determine: - The function is (a) increasing (b) decreasing an...

Q: how do we identify the minimum and maximum value of the graph of a function at a given intetval?

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Q: A street light is at the top of a 13 foot tall pole. A 6 foot tall woman walks away from the pole wi...

A: The given data is: A street light is at the top of a 13-foot tall pole A 6-foot tall woman walks awa...

Q: For the function f(x), which of the following represent the instantaneous rate of change? Circle all...

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Q: What is the general solution to the differential equation y[1 – xy tan(xy)]dx – x[1+ xy tan(xy)]dy =...

A: Put yx=v and solve it. 

Q: 2. We want to integrate a function over the region bounded by x = y2 - 1 and x = /1- y2. What should...

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Q: Find Z, * Z, and Z,/ Z2 Write the answers in rectangular form (a + ib). Z, = v2(cos" +i sin), Z2 = v...

A: Need to find Z1·Z2 and Z1Z2 Given information: Z1=2cosπ4+isinπ4, Z2=3cosπ12+isinπ12