1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by the given curves. c. y = x2 , y = x ; about y-axis

Q: What is an equation for the cosine graph shown below? 11 -10 6- 8 -7 -5 4 -2 1 -135 -90 -45 45 90…

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Q: Question 23 Find the standard form of the equation of the ellipse satisfying the given conditions.…

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Q: Find the volume of the solid obtained by rotating about the x-axis and the region bounded between: y…

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Q: Use the figure to find the exact value of the trigonometric function. Find cos 20. 29 21 20 41 841…

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Q: P7: x3 + x – 1 dx J x(x – 1)(x + 5)²

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Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation

Q: Given f(x, y) = 3æ'y- 8ry. Compute: www dy?

A: This question can be solved using the concept of partial derivatives.

Q: (#10) The implicit derivative formula on a surface F (x,y, z) = 0 is: az Fr F, Evaluate dz/ax on the…

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Q: What is the absolute maximum value of the function f(x) = x³ – 3x2 on the interval (-2, 3] ? %3D a.…

A: topic- extrema of function

Q: Evaluate the given integral. [ 2x?sin(4x)dx

A: The given problem is solved below in detail.

Q: P8: sin x cos x -dx J (2 sin x – 1)(sin x + 1)

A: ∫1au+bdu =1a lnau+b+C

Q: 2x2 ) 3x Evaluate the given limit of lim if it exists. 1 x +1 O 1 O limit does not exist 2

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Q: 4. If the characteristic equation of the differential equation y"+2y'-3y =0 is m² + 2m –3 =0, then…

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Q: 4.Convert the angle in deyrees to racions. 1440 A)rcuduns B) 3 cuchans 5udians odhuns D) radrans 5a…

A: 4.Given degree 144°5.Given radian 5518π

Q: Use substitution to determine whether the given x-value is a solution of the equation. -5 tan x= 3 O…

A: topic- trigonometric equations tan(-θ)=-tan(θ)tan(π-θ)=-tan(θ)

Q: Find and classify all the critical points of f(x, y) = (x - 1)y2 - x3

A: Let's find.

Q: Let D be the solid unit cube: 0 < x < 1, 0 <y< 1, 0 < : < 1. Let S be the closed surface boundary…

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Q: 7) Find all the second partial derivatives of f(x,y) = x³y% + 2aªy.

A: Second derivative

Q: = e3 + C is the general solution to the differential equation: y' = 3y. Select one: O True O False

A: We need to choose correct option.

Q: Written Works. 1. Find the area bounded by the curve y = x2,y 0, x 1 and x = 2. 2. Find the area…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: dy Find the general solution for: -6y dx Select one: O y=C.e¯z О у y = C. e-6x O y = e-6x O None. O…

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Q: Find a simplified expression for tan( cos-

A: A detailed solution is given below.

Q: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.) ** =…

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Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

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Q: cos(xy) + secy = 5

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Q: लि dx dx 3. case 2 (x + १) १/

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Q: In AZXY, y = 11m, x = 12m, mZZ = 141°. Find the area of the triangle and round to the nearest tenth.…

A: Find the area of triangle

Q: If f(x, y) = 16 − 4x^2 − y^2 , find fx(1, 2) and fy(1, 2) and interpret these numbers as slopes.…

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Q: 2dt 15. J (E+3)vE +6t-7 arcsec(+c d. arcsin(+c a. 2 Invt2 + 6t -7 +c c. t+3. b. 2 (t2+6t-7)/2 +c 1/2

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Q: X -5

A: We have to find the function

Q: answer item 2

A: Topic:- limit

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at a = 2 and roots of multiplicity 1…

A: Root of multiplicity is defined as the number of times each roots appears.

Q: x-3 Analyze the following limits and find the vertical asymptotes of f(x) = x2 -9 a. lim f(x) b. lim…

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Q: Find the absolute maximum and minimum values of the following function in the clc f(x.y) = 2x - 4x+y…

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Q: Evaluate each of the following limits. Тапх-x 1) lim х-0 х-Sinх

A: LetL=limx→ 0tanx-xx-sinxPlug in the value x=0L=tan0-00-sin0L=00Therefore apply L hospital…

Q: Use the limit comparison test to determine whether each of the following series converges or…

A: Topic:- sequence and series

Q: Suppose the position of an object moving horizontally after t seconds is given by the follow a.…

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Q: 1) Calculate 21+v3i

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Q: Sx² sec² x³ dx .2

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Q: df df Calculate the first order partial derivatives and find and dy dx f (х, у) %3D (ху — 1)2

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Q: Let F= (x,y) and C be the circle of radius 3 centered at the origin oriented counterclockwise.…

A: There are two approaches to finding the solution to a given problem.

Q: १ Ind Sine B/sno=7J85 c)sino=4585 D) sind = S85 %3D 2. Find the lencth o& x. ত্वन्डउन0ी 46.3c84.3…

A: We have to find the solution

Q: Тапх-x 1) lim x-0 x-Sinx

A: We are asked to find the limit of the function

Q: ) Use implicit differentiation to find dz/dx and dz/dy for x² + y² + z² = 3xyz.

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Q: Find the slope of the function f (x) = x 3 + 3x 2 + 3x + 1 at x = 0 1 0 3

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Q: 4. Evaluate (10** dx. 1000* 10 -10* +C A) +C In10 In10 10 100 B) 10* +C D) 10* +C In1 In10

A: We can find the integration as below.

Q: Find the area between the curves f(x) and g(x) 2. f(x) = 3x, g(x) = x² – 3x + 8

A: We will find the area between the two curves.

Q: C) 8 +C

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Q: Find the derivative of the following function. y = 3.7* y' = ]

A: As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: 6. Evaluate f z z* –8 dz. A) (x² - 8) +C B) a O b O d

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