Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y?(y? - 9) = x²(x? – 12), (0, -3) (devil's curve) y -4 2 -2 2.

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Q: 5] Sketch the graph of r(t) direction of increasing t. (sin t, 2 cos t) and show the %3D

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Q: 1. Write the first five terms of the sequence п а) а — 3" п b) а, = sin п c) a̟ = (- 1)'(÷) (– 1)***...

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Q: di x-x(t)defined implicik ly by 62X6 12+62VXIn(t)-eE. Also evaluate dx (tx)s(4,4).

A: Given: -x=x(t)  defined implicitly by The equation is, 62+62xln(t)=e62xt To find: - The differentiat...

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Q: 11T Convert the angle to degrees. 18 00.6111° O 110° O 324° 11 3240 O none of the above

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Q: The Distance from P( 5,3) to Q(2,-1) is

A: Compute the distance between x1, y1, x2, y2:  x2-x12+y2-y12The distance between 5, 3 and 2, -1 is =2...

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A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at 12c...

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Q: 1. lim t0 sint sin(2t) 3. lim 2t 1- cost 6. lim sint

A: limx→af(x),  by completing a table of functional values. step 1: choose two sets of x-values—one set...

Q: 3. Evaluate: -x²+2x dx (Hint: let t = (x – 1)²)

A: We know, ∫0∞e-x2dx=π2. ∫2e-x2πdx=erf(x) erf(1)= 0.84(approx)

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A: In this question we have to solve Integration.

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Find the Taylor polynomials of orders n = 0,1.2,3, and 4 about x = x9, and then find the nth Taylor ...

A: f(x)= e ax f0(ln 7)= 7a   f'(x) =ea x af'(ln 7)=ea ln 7 = a 7a   f' ' (x) =ea x a2f' '(ln 7) = ea ln...

Q: Select all that apply. Solve the following equation; domain 0o sx< 360 3 cot x = V3 120 300 60 240

A: Given query is to find the value of x.

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Q: 343 | lim x → 7 x – 7 - O - 28 O 147 O 98 O – 147

A: Topic:-  limits and continuity  

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Q: 2. Find the slope of the curve y? = 3x 1 at the point (-0). Draw the graph of !! the curve.

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A: This question can be solved by applying the concept of rate of change of quantities.

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A: Given: y"+2y'+y=x2e-x Auxiliary equation are,  m2+2m+1=0 (m+1)2=0 m=-1,-1

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A: Let's find. 

Q: O XsinCyldx +(x^t)cos(y) dy=0

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Q: Use the associative property to express : 1 10 +. 5. 3 10 3. 1 2 10 3 (금+루) O. 10 7. 3 10 1 7. 3

A: Associative property  of addition . (A+B)+C =  A+(B+C)

Q: Q// Sketch the region of integration and evaluate the integral 4-y xe2y -dxdy 4- y .4 0.

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Q: //welro) Find a local linear approximation for the function 5х + 6 f(x) valid for x near 5 5x + 6 An...

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