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Q: 3. For every 100 ticket buyers at a concert, the band expects to sell 27 T-shirts. a. If they have s...

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Q: Make a switch to cylindrical coordinates to evaluate V² + ² dV , where E is the region inside the cy...

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Q: The derivative of the function y = e* In(cos x) is: y' = e*(In(cos x) – tan x) y' = e* (In(sec x) + ...

A: Use the derivative of the form y = u.v

Q: The population of a certain species is given by N = 127 × 1.06t, where t is measured in years. What ...

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Q: Sketch the region enclosed by y=4x and y= 4x^2. Find the area of the region

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Q: Which of the following best describes the function below? S (x)={** ifrso l-r' if 0<x ifx<0 A. Conti...

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Q: 700 find the following. For the demand function q = D(x) = - a) The elasticity b) The elasticity at ...

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Q: an equal expression on the right. Submitted Answers Choose a match Choose a match

A: We have to calculate the given indefinite integral 

Q: Find the length of the arc of the curve having the parametric equations x = t³3 and y = from t = 0 t...

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Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

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Q: Evaluate: " sin7 cos4 dx

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Q: Homework Content Question 1 Write an equivalent double integral with the order of integration revers...

A: Given: ∫08∫0xdydx

Q: 2 4. sin

A: 4.  let, x=sin-122x=sin-1222x=sin-112sinx=12sinx=sinπ4

Q: If f(x) = 7 cot-l+ 5, then find the value of f'(-6) is -5 37 -6 37 O 00 O 7 37 O -7 37

A: Topic:- application of derivatives

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives 

Q: Find the equation of the circle shown. -7 -6 -5 -4 -3 -2 -2 -4- -5- of Write equation in standard fo...

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Q: The derivative of the function y = log2(In(x)) is: 1 1 y': x In 2 In x y' = x In 3 ln x the above th...

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Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

A: ' According to the guidelines iisued by the company we are supposed to answer only one question. Kin...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: (a) Given: - The condition is the same direction as -2i+9j. To find: - The unit vectors that satisfy...

Q: Let lim an = a and lim b, = b. Therefore n-00 n-00 an a iii) lim b + 0. b n-00 I|

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Q: 4. 2(x + 4) = - 4 5. -3( x + 4) = 15 6. 4(2х + 3) + х%3D69 7. 2x + 3x + 6 = 31

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Q: Use any method to determine whether the series converges or diverges. 00 1 Σ 2 + 7-k k=1 O The serie...

A: Given query is to find series converges or diverges.

Q: Let w = xey/z, where x = t², y = 1-t, and z = 1+ 2t. Use the chain rule to find X. (Write your answe...

A: Given query is to find the derivative.

Q: 2x + 4, a<4 om the following results, determine whether the function f(a) = { 8, a = 4 -x + 16 a 4 i...

A: Given query is to find function is continuous or not at x = 4.

Q: find eigen value of matrix A -2 %3D -4 2. 2.

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 1+ is...

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: If 1200 cm² of material is used to make a closed cardboard box with a square base. Find the exact di...

A: This question can be solved using the concept of maxima and minima.

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i+ 5j. NOTE: Enter the exact answer...

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Q: In exercises 1-23 solve the given differential equations: 11. sec2xdy+csc ydx = 0

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of x2 y? = 4 ...

A: We need to find surface area.

Q: Calculate the volume of the solid produced by rotating the region enclosed by about x - 4x – 4y + 4 ...

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Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128, ....

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: consider a ctosed Kectangutar box with a If base side ir measured with ekror at H.w.y squak bare and...

A: Write the formula for the surface area and volume and then apply total derivative. 

Q: 2. Find when f(x) = x²e* has a horizontal tangent.

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Q: DO NOT include spaces in between 10 characters. * Evaluate f'(-2) if ƒ(x) = x* – 5 + x-2 + 4x-4. %3D

A: Solve the function

Q: Clategrade)- dv ノンコォス

A: ∫dvv2+cv+1

Q: • Use the trapezoidal rule with n = 8 to approximate %3D cos(x) dx Keep at least 2 decimal places ac...

A: USE Trapezoidal rule with n=8 

Q: The ordinary differential equation x -y = x is a separable equation dy dx O False O True

A: Given query is to find that differential equation is separable or not.

Q: Determine whether r{(1+E)*"}.. Converges or diverges.

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Q: If g is continuous at a and f (x)=(x² -a' )8(x). fir find f'(a). Hint: Use f'(x1) = lim S(x)-f(x,) %...

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Q: Let y = tan(5z + 6). Find the differential dy when a = 4 and dæ 0.1 %3D Find the differential dy whe...

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Q: The graph shown below is fx) = -(x - 1)2 + 5. What is the integral function g(x) that defines the ar...

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Q: Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1 -...

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Q: The solution of the non-exact differential equation (x*e +5dy + (1 +2x²e")dx = 0 is: O x^2 e*y+Inlyx...

A: To determine the solution of the following non‐exact differential equation.x3ey+xydy+1+2x2eydx=0

Q: a) dt 9 =dx xVln x b)

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Q: Using an appropriate substitution, 3 the integral S dx equals: V1-4(x-1)2 3 sin-1(2x – 2) + C sin-1(...

A: We can find the integration as below using proper substitution.

Q: ) Let w = xe/z, where x =t², y = 1-t, and z = 1+ 2t. Use the chain rule to dz find . (Write your ans...

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Q: Given the vector function *(t) = (t, cos (2t)) Calculate the curvature when t=5.4

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Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

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