4x3 %3D 1. mtegrate. de - aya dx 4x3 du = 4x° dx %3D Jxt -2 xp: こ -112 du te 2(x*- 2) ° +C %3D %3D

Q: Given the graph below, which of the following statements is TRUE? I. lim (sin z) = 1 II. lim (sin z)...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the function is continuous ...

Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p =40 − 4...

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Q: Given: x² dx Find: Formula Se"au o fe"du " du 3 o 1 e"du o fa"du aªdu

A: topic - indefinite integral

Q: sec? x 4 dx- Evaluate 1-tan x O 2 O -2 O -1 O 1

A: The given integral,        ∫0π4sec2x1-tan xdx

Q: Felow are the polar coordinates. Find the Cartesian Coordinates. 5, 2

A: Topic:- coordinate system

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

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Q: 2 2x 6. lim X-3-x-3 x2-9

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Q: Find equations of the tangent plane and the normal line to the given surface at the specified point....

A: Solved below

Q: Choose the angle (in radian) between the following two vectors u = (3, 7, – 8) and v= (-5, 4, - 3) O...

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Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height (...

A: topic- derivatives and functions

Q: A vehicle purchased for $32500 depreciates at a constant rate of 8%. Determine the approximate value...

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Q: Consider the following sequence. If the sequence converges, determine its limit. If the series diver...

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Q: 4. (a) Given the points (1,4), (2, 4), (3, 5) and (4, 5). Find the equation of the straight line y =...

A: Please see the below picture for detailed solution. 

Q: ax Evaluate • (1– 2x)² 1 2 2 O 1 O-1

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Q: y 2 y = sec? x y = sin(4x) → X T/8

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Q: Set up an integral for the area of the shaded region. Evaluate the integral ta find the area of the ...

A: Integration of shaded area

Q: Two sides of a triangle are 6 m and 12 m in length and the angle between them is increasing at a rat...

A: We need to find rate of increase in area. NOTE - As per bartleby's guidelines we can solve one quest...

Q: Set up, but do not evaluate, an integral for the volume of the solid obtainedi by rotating the regio...

A: Consider the region   

Q: csc2 Given: lcot2(클x)- 4cot(글x)+ 4 xp - Find: u cot2 4cot x+ 4 cot cot2 4cot X+4 O ca)-2 cot

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Q: Find the exact value of the slope of the tangent line to the graph of 2 – x? – a² + 3xy – 3y = 1 at ...

A: Slope of the tangent line , m=dydx du.vdx = u.dvdx +dudx.v dxndx=n.xn-1

Q: Assume that sin(z) equals its Maclaurin series for all x. Use the Maclaurin series for sin(72) to ev...

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Q: Evaluate f 6xy da where Dis the region shown below. y=-

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Q: The equation -x2 - y² = – 2 represents a Cylinder in R3. Select one: O True O False

A: We have to tell true or false  The equation  - x2 - y2 = -2 represents a cylinder in R3  

Q: A spherical balloon is inflated with air flowing at a rate of 15 cm/s. How fast is the radius of the...

A: The formula to calculate the Volume of the balloon is:              V=43πr3 where r is the radius of...

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about * = xo and then find the nth Taylor...

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Q: y = x² cos sec 3 -1* 2

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Q: a. Suppose the function f is updated from f(x) = x* to f(x) = – 4 · a*. How does changing the coeffi...

A: Multiple questions are asked, I am answering the first question.

Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: Which of the following graphs show a removable discontinuity. (Select all that apply)

A: For removable discontinuity,   limx→af(x)  exists but f(a) not defined. For non removable discontuit...

Q: Given: 5e-x-6e-3x Find: u 5e-x - 6e-3x O 5e2x – 6 5e¬x-6e-3x O 5- 6e-2x

A: topic - indefinite integral

Q: 3 х 1 (x² – 1

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Q: 2. If not, indicate Given the function below, determine if the function is continuous at the point I...

A: We need to check continuity of given function.

Q: dx Evaluate 2 -1 O -2 O -0 O O O O

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Q: Find the values of x for which the given geometric series converges. Also, find the sum of the serie...

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Q: ху — 1 dx x²y 1 xy2 dy = 0

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Q: 9. Find y' and y" for the following curves: a) x2 + y² = 1 b) x³ + y³ = 1 c) x* + y4 = 1

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Q: Use Stokes' Theorem to calculate the integral | F. dr where F = (y – x)i+ (z – y)3+ (x – 2)k and C i...

A: Solving the following integral problem

Q: y 4 A y = 4* 3 2 y = 2* 0.5 1

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

Q: Evaluate 1 + x2 + y?dS, where S is the helicoid with vector equation r(u, v): 0 < u < 2, 0 < v < T

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Q: A solld is obtained by rotating the shaded region about the specifled line. about the x-axis y 4 y =...

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about * = x0 and then find the nth Taylor...

A: Let's find. 

Q: A solld is obtained by rotating the shaded reglon about the specifled line. about the x-axis y y = V...

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Q: Sar en x² dx Given: Find: Formula o fe"du Sa"au

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Q: Let f be a function that is concave up everywhere. Suppose we would like to use the tangent line at ...

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Q: Which of the following represents the radius of the sphere whose equation is x² + 8x +y2 – 16y +z² –...

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Q: Graph the function, not by plotting points, but by starting from the graph of y = ex in the figure b...

A: Question : Graph the function, not by plotting points, but by starting from the graph of y = ex in t...

Q: 3 sin? 4t + 8 cos² t

A: Solution: L{3sin24t + 8cos2t} Use the following identity : sin2x=12-cos(2x)12 =L{312-cos(2·4t)12+8co...

Q: Solve the absolute value. 4x + 3 7 then x = 3 Enter your solution(s) as integers or reduced fraction...

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Q: Approximate the integral to three decimal places using the indicated rule. c0.8 311 01 dx; Simpson's...

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