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

Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A:   ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1 dt...

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Q: 1-cos2 x 6. lim x-0 9x

A: To find the limit values: limx→01-cos2x9x

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Q: he cost in dollars of producing x units of a particular telephone is C(x) = x² - 2500. a. Find the a...

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Q: 5. (1- x)"dr+ j*+x{1-x)*]dy = 0when x=2 nd y=l 6. yd-xy=y*ty

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Q: Calculate a double integral of the figure, where R is the region bounded by y = x2 and y=2x. The ans...

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Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d. V(4x)...

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Q: 4. f(x) = x² – 1; c=-1

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Q: evaluate the following limit by contructing the table of values

A: Our Aim is to evaluate the limit of the expression given below by constructingthe table of values:-l...

Q: 1. lim 5.54

A: To evaluate:limx→ c5.54

Q: cot 2x 2. lim TC csc3x+tan x 4

A: To evaluate: limx→π4cot 2xcsc3x+tan x

Q: E. DIFFERENTIATION Obtain the derivative of the following functions: (2x³–1)* 8. y = (5-3x)*

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Q: What is the Order of the equation? O 1 O 2 O 2/3 Оз What is the DEGREE of the equation?

A: Follow the procedure given below.

Q: Find the derivative of the vector function r(t)=ta×(b+tc) where a=⟨−4,−3,5⟩ b=⟨−1,2,5⟩ and c=⟨−3,−2,...

A: Solved below

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: EVALUATE DE y²/x(x+y) = -y'

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Q: 4. lim (3+x2) X+-2

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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: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с....

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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: Activity 3: Limits of Functions A. Evaluate the following limits by completing the table of values. ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: of

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

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Q: isometric version

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Q: Use  f(x) = 4x − 5  and  g(x) = 6 − x2  to evaluate the expression. (a)    f(g(0)) =   (b)    g(f...

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Q: 9. lim V X-32

A: 9)limx→32x5

Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

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Q: (2х — 3)* y = - х +1 .2 х*у + 3ху3 — х %3D 3 X =

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Q: 5. The differential equation (3r'e -21}dr +(r'e' -sin y Jdy = 0 is exact because ƏN %3D

A: Given:- Differential equation (3x2-2x) dx+(x3ey-siny)dy=0 To Find:- The given D.E is Exact because ∂...

Q: Whet is the particular solution if y(1)-07 zy = y+ (x² + y²)² y =z sin (In z) Arcsin 2- - In z + 1 O...

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Q: Solve, y = xy' + (y/(1+y))

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Q: Evaluate if y = x² sinx + 3x*tanx dx a. 2xcosx + 12x3sec²x b. x?cosx + 2xsinx + 3x*sec2x+ 12x³tanx c...

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Q: 12.) Given u= (1,2,-3) and v= (2,-1,1) find: F a.) b.) 2u- Sy c.) The angle between u and v. d.) uxv...

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Q: Which of the following differential equations can be classified as separable and exact?

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Q: The expression ả o (b × č) represents O a scalar O a vector O a line something that does not make se...

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Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. No figure, no credit. 1. The streng...

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Q: e+ = e2a-y C = e? 1 C = - O Option 4 Option 2 C =-e

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Q: Which of the following uses integration by parts? (1) fxcos.x°dx (3) fxlnxdx (2) [x'e*dx - In x dx (...

A: we have to find the integration by parts from the following

Q: - x Find the general solution of the differential equation: dy + ( 2xy 4e dx = 0. What is the integr...

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Q: f(t) = 16t2 + 330t + 6. %3D ... What is the height of the ball at 4.6 seconds? ft.

A: SOLUTION-

Q: Express the repeating decimal as a fraction. 0.4444. ..

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Q: |(sin? x)e* dx

A: This question is related to improper integration. Solve im step2.

Q: Find the equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0, 1...

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Q: Consider the demand equation where x represents the quantity demanded in units of a thousand and p i...

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Q: dy Find dx if y = cos e*

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Q: Find the relative minimum of this function f (x,y) = 13 – 6x + z? + 4y+ y? A. f has a relative minim...

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

A: Option D) None of the choices  

Q: - (x,y) =- 5х— 4y fo х— 4у

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Q: Write equations that correspond to a mental method for calculating the difference below. State speci...

A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...