1. Using Logarithmic Differentiation, find dy given that dx -3 sec-(VT) y = 4*(log2 r)sech z"

Q: = In x lying in the fourth Find the surface area generated by revolving about the y-axis that part o...

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Q: Consider the points A(1,-1, 4), B(2, –3, 2), C(-1,-2, 2), and D(4,3, -6). (a) Find the volume of the...

A: Let's find. 

Q: ffis a one-to-one function with f(4) = 6 and f'(4) = 3, find the equation of the line tangent to y =...

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Q: parallel lines have the slope m1 = -m2 %3D False True

A: Parallel lines

Q: Compute ∆y and dy for y = x^2 − 4x when changes from x = 3 to x = 3.5.

A: Topic:- application of derivatives

Q: Find the centroid of the region bounded by the curves: x = 2y – y? and the y-axis A = sq. units; Cen...

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

A: This is a problem related to maxima and minima of the function from the given graph. Here the genera...

Q: Find the area of the parallelogram that has u= 2i – 2j + k and v=j+3k as adjacent sides. NOTE: Enter...

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Q: 19. 10 (x + 1)(x² + 9)² at

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at ...

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Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

A: Let's find. 

Q: Consider the differential equation dy = y +t. dt Given that the general solution to the DE is y(t) =...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: Given: The expression for the volume of tetrahedron is: V=16u·v×w And The vertices P-2,5,0, Q2,1,-3,...

Q: Detemine f the series n(in(n)) Show you work separately and submit it using the link in the Exam tab...

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Q: I. Define the function [In(r+ 1)] cosh r + tanr ,r20 (sinh r) sec- (r – 2) S(x) = ,z <0 1. Show that...

A: As per bartleby guidelines we only give first question answers. 

Q: Consider the points A(3, –3, 5), B(5, –5, 2), C'(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of...

A: AB→=(5, -5, 2)-(3, -3, 5)AB→=(2, -2, -3)AC→=(-1, -4, 2)-(3, -3, 5)AC→=(-4, -1, -3)AD→=(4, 1, -8)-(3,...

Q: Given f(x,y) = 3x sin(2xy).  Find fx(3,3). Give you answer correct to two decimal places.

A: The objective is to find fx(3,3).

Q: Approximate the area under the curve of f (x) = x² +3 from 0 to 4 using the Midpoint Rule with n = 4...

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Q: Find the surface area generated by revolving about the y-axis the curve x? – y? = a² from y = 0 to y...

A: we have to find the surface area.

Q: F(rn) = ¤n - | f(In) for For the function f(x) r2 + 2, write Newton's formula as In i 1 = f (In). so...

A: By the Newtown formula to find the Xn+1.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: (A)    Given v=&lt;15,-8&gt;.

Q: Q2: Sketch the polar function r = 6 cos 30 ,-n < 0 < n|

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Q: Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever appr...

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Q: A baseball is batted straight upward. Neglecting air resistance, the velocity v (in feet per second)...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: computes curve length for 0

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Q: 3x2 – 4x + 5 (x – 1)(x² + 1)

A: we will solve the integral by using partial fraction decomposition. 

Q: Use sigma notation to write the sum. j=1

A: Given that 5-192+5-292+......+5-992Solution:

Q: 3. * 2+7 sin3x cos2x 2 tan x+ 7 sec x +7 cos x +c C 2 tan x-7 secx +7 cos x +c 2 tan x + +7 cos x +c...

A: The integration of the integral is  (2+7sin3x) /cos2x. 

Q: ple plot A modern window has the shape of a rectangle topped by an equilateral triangle as shown in ...

A: For the solution follow the next steps.

Q: Classify and Solve; Find the complete solution for the ODE ( D³-5D²+8D-4),y=e²x +2e+3e*)

A: This is a problem of differential equation. Total solution of this equation is sum of complimentary ...

Q: 2. * S cos³y sin'y dy cos 2y cos 2y + C 48 cos 2y cos 2y 16 16 48 cos 2y + c 48 cos 2y cos 2y + c 48...

A: For the solution follow the next step.

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

A: The vector component of v along b is r=v·bb2 b The vector component of v orthogonal to b is u=b-r

Q: Find the area of the region bounded above by y = sin(x) and below by y = cos(x). AY 1.5- 0.5+ -1 0.5...

A: Find the area of the region bounded above  by y= sinx and below by y= cosx.   Here i attached the so...

Q: Find df, dg, ď²f and d g, if sing f +g = x+y, sinf

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Q: Find the area of the region bounded above by y = 6x - x2 and below by y = 2x. AY 10- 8 6 4 2- X -10-...

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Q: Q1: Convert the polar function to Cartesian function in the form f(x, y) = 0? cos 0 + sin 0 r = cos²...

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Q: Find dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2...

Q: Use Squeeze Theorem to evaluate -2x lim e COS x x 00

A: Based on the squeeze theorem or it is also been called sandwich theorem we can evaluate the limit by...

Q: Find the centroid of the region bounded by the curves: y = 2x – x² and y = x

A: Let, is the centroid of the region which is bounded above by the curve y=f(x) and below by the curve...

Q: A model for the velocity v of a skydiver is 4 = 9 – v². Then the value lim v(t) is__ 1 Enter the cor...

A: The given differential equation can be solved by using the variable separable method.

Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

A: Solved below

Q: Solve the equation y' + y · tan (x) = sec(x) Ans y sec(x) = tan(x)+c %3D

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Q: Use left endpoints and 6 rectangles to find the approximation of the area of the region between the ...

A: Let's find. 

Q: Example 3: Find the parametric and symmetric equations of the line passing through the point (-3, 5,...

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Q: Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x...

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Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A: 1. Graph of M versus t is shown below - 

Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not e...

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Q: Example 1: Find the vector, parametric, and symmetric equations for the line through the point (1, 0...

A: To find the vector, parametric, and symmetric equations for the line through the point 1, 0, -3 and ...

Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54 ...

A: The area formed is of trapezium