3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

Q: 9 S10²/x dx

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Q: 8. (x - 1) dx √x lim

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Q: Find the integral of the following: 1. tan(x)sec3(x) dx 2. csc4(x)cot5(x) dx

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Q: Consider an object moving along a line with the following velocity and initial position. Assume time…

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Q: = x² + ²/4/ 3. Find the equations of the tangent plane and the normal line to z = x³ + at (1,2,2)

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Q: 2. Use root test to determine whether the following series is convergent or divergent: 00 (-1)" (In…

A: We have to find whether the series is convergent or  divergent by root test.

Q: Evaluate 1. 2. the integrals: (1-cos²x) 3/² dx Se* sec³ e* dx

A:

Q: III. Evaluate the given definite integral: ₁*√x edx

A: ∫14 xexdx here we have to integrate using substitute method  so for that lets substitute x = v dv/dx…

Q: If x² + x = 1 Find 8 + 5* x+1

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Q: Problem 4: Find the derivative (f'(x)) of a) f(x) = (x² − 3x)(7x+15), b) f(x) = = x-5 x²-x+7

A: Given f(x)=(x2-3x)(7x+15)DIfferentiate…

Q: 4. The volume V of a rectangular box is given by V = LWH where L is the length, W is the width and H…

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Q: 2. Use a double integral in polar coordinates to find the area of the region. (a) The region…

A: We need to find the area of the given regions using double integral in polar coordinates.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 4. Find parametric equations of a line passing through (-1, 2, -2) that is parallel to the plane…

A: This question is based on 3-d geometry.

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 10 9 8- 7 6 LO 5- 4 3- S…

A: Here we will find the slope,

Q: 4. Evaluate the iterated integral by converting to polar coordinates. (a) f(x² + y²) dydk 0 (b)…

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Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. C: 3 A(x)…

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: ○y-3 = cx6 + 3²

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Q: B: Find the Cartesian coordinates for the point (6,7) in polar coordinate

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Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: Find the exact value. In 3 0 ³ sech 4 x tanh x dx

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Q: f(x) below, what is the open interval(s) over which f'(x) is negative? 6 5 4 3 2 1 1 -2 -6-5-4-3-2-1…

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Q: Find the exact value. 3 S sin cos 2 0 x dx

A: Follow the procedure given below.

Q: Solve the initial value problem y" + 6y' +9y = 0, y(-1) = 5, y'(-1) = 2. y(t) =

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Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f''(9). f''(x) =…

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Q: 4. Solve the following DE using a suitable type of transformation. y' = x + y (let v = x + y) O y =…

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Q: The base of a three-dimensional figure is bound by the circle x² + y² = 9. Vertical cross sections…

A: Given that,

Q: Evaluate the integrals: 1. √ √25-x²dx

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Q: Find the indicated limit. Note that L'Hôpital's rule may not apply or may require more than one…

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

A:

Q: Evaluate the integrals: 1. ftan5 x dx 2. f sin 2x cos 3x dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The point (a, b, -7) lies on the line L1: [x,y,z]=[3,−1,4]+s[4,3,−1] Determine the values of a and…

A: Given: To determine: value of a and b

Q: E. Find an equation of the plane passing through the point (6, 3, 5) and containing the line of…

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Q: A Nathan organized pile X of paper on his desk, and Gerald organized pile Y on his desk. The figure…

A: Volume is just the amount of space contained within a 3-dimensional object.

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

A:

Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

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Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin(x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: A population of a small city had 3000 people in the year 2000 and has grown at a rate proportional…

A: In this question, we will use growth topic of differential equations.

Q: x² + 2x x4 - 3x² - 4 S dx

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Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: dx √√x + ³√x X

A:

Q: find the volume of the solid generated when the region R is revolved about the x-axis

A: To find the volume of the solid generated when the region R is revolved about the x‐axis.

Q: Q3) Find the average value of the function f(x)=√cos 4x+1, on [0,1 Q4) Using Numerical Integration…

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Q: Find a result by using undetermined coefficients for ý - 5ý +6v = xả + e2x + 3 sin2x

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Q: Find the derivative of f(x) = (-x3 - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: The given function is: fx=-x3-2x2-2xsinx   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: √ √√x√1 - x-¹ dx

A: To find out the integration

Q: Find (f-¹)'(-6) given the following table of values. (Enter an exact answer.) Provide your answer…

A:

Q: let fx= 2x^3-x^2-12x+1 find the critical numbers of fx, determine the location of the relative…

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Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 4+

A: write an equation for the polynomial graphed below. the function in the factored form is given…

Q: [3tan(x)² dx 2

A: Concept: Integration: The Sum of discrete data is denoted by Integration. The integral is calculated…