xsin-xdx The antiderivative of V1-x? sin-!x+C is x- (A True (B) False

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: Evaluate the integral. 16 In(y) dy Vy

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Q: dy e. dr + 4y = x² dy = sin(x + y) dx f.

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Q: Srk to justiry a STAE Find the equation of the tangent plane to f(x, y) = In(/x² + y²) at the point ...

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Q: Given f (x)=sec.r-/2 tan .x , find f'(:).

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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: Using calculus, find three positive numbers whose sum is 12 and the sum of the squares is as small a...

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Q: Jeremy purchases a boat for the price of $31 950. The boat depreciates in value by 19% per year. The...

A: Here we will find the asked quantities,

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

A: We have to find the value of the integral∫16cosxxdx using trapezoidal rule with n=8. From trapezoida...

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

A: Explained below

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: 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: Write a rational function that has x=-2 as its only vertical asymptote, a hole on the line x=2 and a...

A:

Q: Find the domain and range of -4 < a<0, f(r) = 0 <r<4.

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Q: Which integral would represent the area shown below? The function is f(x) = -x³ + 3. %3D 3 2- 1- 0.5...

A: Given query is to find the area of the shaded region.

Q: Let a = ci + j and b = 2i + 10j. Find c so that a and b are orthogonal. c =

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Q: sin2x de Evaluate:

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Q: Calculate thex and y components of the vector given below. Do not round any intermediate computation...

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Q: Using an appropriate substitution, 3 the integral S dx equals: /1-4 (х-1)2

A: Here we have to evaluate I=∫31-4(x-1)2dx

Q: Find the volume of the solid generated bounded by x = Vy-2, x = y? - 4y + 4, rotated about the x- ax...

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Q: - 1] Q2 a. Find the eigenvectors of the matrix b. Solve the ordinary differential equation: dy Y-e d...

A:

Q: A company knows that the unit cost C and the unit revenue R from the production and sale of x units ...

A: Rate of change of unit cost is given as $9 /unit. Unit revenue=$2000 We will find the rate of change...

Q: 102 - Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = a...

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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: P,Q,R be distinct collinear points with coordinates x,y,z respectively. If x<y<z the Q is between P ...

A: By the ruler postulate: PQ = |y-x| QR= |z-y| PR = |z-x|. But y-x is positive because x &lt; y; sim...

Q: 4. Given the graph and function below, complete the table. Differentiable Continuous f(x) Derivative...

A: The given graph is f(x)=x2+1

Q: 1. Complete the following tables of values to investigate lim(x? - 2x + 4). S(x) f(x) 0.5 1.6 0.7 1....

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Q: tany Oメ

A: The given limit,      limx→0tan xsin 2x

Q: III I The current population of St. Catharines is about 133000. Suppose a major devel- opment is pla...

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Q: The derivative of the function y = log2(In(x)) is:

A: We can find the correct answer as below.

Q: Consider the following function and express the relationship between a small change in x and the cor...

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Q: Compute the area of the surface formed when f(z) 2V1-z between -1 and 0 is rotated arou nd the -axis...

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Q: S cos?x-ex

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Q: Evaluate the definite integral two ways: first by a r-substitution in the definite integral and then...

A: The given integral,       ∫08x1+xdx

Q: (주) X X Evaluate: " sin' cos* () d 4

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Q: The integral of t2ln t with respect to t is; A (3ln t-1)+C B ®(3in t-1) +C none of the given choices...

A: Given: The integral of t2lnt with respect to t

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: At which point/s (value/s of x) is the function neither continuous nor differentiable? DO NOT includ...

A: see below the answer and explanation

Q: A). Domain, Symmetry, Asymptotes, Intercepts, B). f', Critical Points and Local Max/Min Values, C). ...

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Q: An exponential function has a decay factor of 0.03. What is the percentage decay rate?

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Q: V3 7. arctan 3.

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Q: The graph shown below is fx) = (x - 2)2. What is the integral function g(x) that defines the area un...

A: Given: f(x) = (x - 2)2 What is the integral function g(x) that defines the area under this line betw...

Q: 4 Find the value of f'(-1) if ƒ (x) = (3r² – 2x +1)'

A: Given,            fx=43x2-2x+13To find : f'-1

Q: 1+2y² y sin x dyt cs C vdr = 0 dy 10. dx sec2

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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. Use the 8 step algorithm for c following function and to sketch 2 x +2x-4 d(x) %3D 2. Step 1: Res...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: To find out the distance from point P to line AB. 

Q: 1. Use the 8 step algorithm for curve sketching to analyze the key features of the following functio...

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Q: Find the values of a and b if the tangent to y = ax² + bx at (1,5) has a slope of 8.

A: We can find the value of a and b as below