State whether the equation (증)2- (주))- (3)"-1 defines (enter number of statement): 1. A hyperboloid of two sheets 2. A hyperboloid of one sheet 3. An ellipsoid 4. None of these

Q: 2. Find the area of the largest isosceles triangle that can be inscribed in a circle of radius 12 in...

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Q: 5. f(x) = c= x3-x %3D

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Q: Find the radius of the sphere x2 + y? + z? – 2x – 8 = 0. %3D 4 O 2 O 3 9,

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Q: dy y(ln y - In x+1) | da

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Q: dy - y - 5x*-3x2 + 2x = 0 dx

A: Option D) None of the choices  

Q: 2. Find the average value of the function y = x sin(2x) on the interval [0,7 / 2]. ll the steps in t...

A: To determine the average value of the function y=x sin2x on the interval 0, π2.  

Q: Given the polar curves r = 1- 2 sin 8 and r = -4 sin 8. Do the following: 1. Sketch the curves on th...

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Q: 25. Find an equation of the plane through the line of intersection of the planes x – z = 1 and y + 2...

A: Equation of a plane P that passes through the line of intersection of two planes P1 and P2 is given ...

Q: Evaluate the piecewise defined function at the indicated values. f(x) = 5        if x ≤ 2           ...

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Q: (1+ ye* + xye®)dx + (xe² + 2)dy = 0 C = xye" + 2y+ x Option 3 None of the choices C = xye" – 2y – x ...

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Q: joe*11 cos(1 - t6) dt 3/2 r6 sin(t*6 + 1) + cos(+"6 + 1) +C None of the choices O 3/2 (*6 sin(-t6 + ...

A: Use of trigonometric and integration identities are used

Q: Find an equation for the paraboloid z = x2 + y? in spherical coordinates. (Enter rho, phi and theta ...

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Q: Evaluate sin 2x sin 4.xdx 2 b. sin 3 2x + C 3 1 a. sin ' 2x+C 3 c. cos' 2x+C 1 с. 3 d. -cos 2x +С 2

A: To evaluate the given integral: ∫sin 2x sin 4x dx  

Q: 7. If cos 0= where 0< a< 2, what is csc 0? 2 A) +- C) 4-a a В) + D) +- 4-a 2.

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Q: 1. y= (1/3)x-(1/2)x² - 2x 2. y (x2 + 2)2

A: SEE THE GRAPH GIVEN BELOW.

Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1 and y-intercept 15

Q: x3+1 1. lim X→-1 x+1

A: I am attaching image so that you understand each and every step.

Q: For what values of x does the series converge​ absolutely?  For what values of x does the series co...

A: Notice that                   limn→∞n+1xn+1n+4nxnn+3=limn→∞1+1nxn+11+4nxn1+3n=limn→∞1+1nx1+4n11+3n=x

Q: Which of the following function/s is/are homogeneous? d) 1/ (2√x+y) e) ln(x-y) f) x/ (√x2-y)

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Q: What are the dimensions of the A closed box with a square base is to have a volume of 250 cuin. The ...

A: Question: What are the dimensions of the A closed box with a square base is to have a volume of 250 ...

Q: 2) 3. y= (2x + 5)3

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Q: 1. The strength of a rectangular beam varies as the product of the width and the square of the depth...

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Q: dx Evaluate

A: ∫0919+x2dx

Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. 1. The strength of a rectangular be...

A: Let us assume ABCD be the cross-section of the beam that needs to be cut from the circular log of di...

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: The logarithmic expression is given by lnx2yz Formula Used: lnm·n = lnm+lnn, lnmn = nlnm and lnmn = ...

Q: Find the slope of the line tangent to the given curve at the indicated poin a. f(x) = 3x + 10 at (-3...

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Q: Find the dimensions of a rectangle with area 1,331 m2 whose perimeter is as small as possible. (If b...

A: Area of a rectangle is 1331 m2, whose perimeter is small as possible.

Q: 2. (2xy – sin x )dx+ (x² – cosy dy = 0 %3D

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Q: Topic: Incentives ( Proof of integration formula for hyperbolic secant and hyperbolic cosecant) Prov...

A: To prove:-

Q: 2. Y = (7x + 2)s ;Y"

A: Given : y = (7x³ + 2)⁵

Q: The curve y = ax + bx + c passes through the point (1,8) and is tangent to the line y = 5x at the or...

A: Given that: y=ax2+bx+c passes through (1, 8) and tangent to line y=5x at origin.

Q: lim (x² + 1) = L x→2

A: Topic:- calculus

Q: If z = 9x2 + y? and (x, y) changes from (1, 3) to (1.05, 2.9), compare the values of Az and dz. dz =...

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Q: The differential equation x(3xy – 4y +6)tx+(x³ – 6x²y² -1]dy =0 is exact because ам ƏN D.4. ây

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: 1 a³ + a?y + æ³ Vx+y In x – In y – e In(x – y)

A: We have to find which function is/are homogeneous.

Q: of (x) 3 at x=2. x+1 Find the slope of the tangent to %3D

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Q: 3) lim x2-4 x-2 x-2 2- 2+ f(x) f(x) 1.5 2.5 1.9 2.1 1.99 2.01 1.999 2.001 1.9999 2.0001

A: This question is based on Limits.

Q: 1 2. If f(x) = and g(x) = , then lim [f(x) - g(x)] equals х2 -х X-1 x→1+ а. -1 b. 1 C. -00 d. 0

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Q: 4) lim 12x – 1| x--2 -2- -2+ f(x) f(x) -2.5 -1.5 -2.1 -1.9 -2.01 -1.99 -2.001 -1.999 -2.0001 -1.9999

A: 4)limx→-22x-1

Q: Find the slope of the line tangent to the given curve at the indicated point. a. f (x) = 3x + 10 at ...

A: Given function,f(x)=3x+10,Aim:- To find the slope of the tangent of the curve f(x) at (-3,1)Let y=3x...

Q: uppose ā and b are two non-zero vectors in R3 and they are not parallel to each other. Then, their d...

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Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x sinh(...

A: Given:     y = cosh ( ln ex^3 )

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: dy = 2x- 7, y(2) = 0. dx

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Q: 1. у%3D 1/3 х3 — x2-2х

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining ques...

Q: dy y - 5a* – 3x + 2x = 0 dx 2y = 5z + 6z? – 4z ln z + cz 5y = 2z' + 4z? - 6z In z + cz O Option 1 O ...

A: We will solve the given differential equation.Below find the solution in the image.

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the s...

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Q: Consider the following geometry problems in 3-space Enter T or F depending on whether the statement ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: evaluate

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Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 Xa lim p(x) = ∞ lim q(x) = ∞, evaluate the limits ...

A: We have to find the given limits.