Determine the slope of the following curve at the given point. 7 3 2 xy +xy = 16,400; (1,16) The slope of the curve at the point (1,16) is (Simplify your answer.)

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

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A: This is a basic limit problem

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A: Given sinθ*secθWe know that secθ=1cosθ

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A: Here, given that the region is bounded by the curves: r2=8cos(2θ) & r=2 which is

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Q: 9. dx 1+ e* A - In le-* |+ C - In le * + 11 + C B In le*|+ C B D In le-* + 1|+ C

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A: Graph and tangent line

Q: Question (see above) EXAMPLE ONLY: 3. x? + 5x – 5 on [-6, 2] Proving that the function f(x) = x? + 5...

A: Solution is given below:

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A: Find your answer below 

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Q: 2x3+3x dx x4+3x² In lx* + 3x²1 + C 1 + C In(x4+3x²) C В 1 D 1 1 - In Ix* + 3x²1 + C + C 2 In(x4+3x²)...

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Q: (a) Find the Taylor series of Ax) = usinge (b) Using the Taylor series found in part (a) find the ap...

A: Question - 1 Given function fx=11-xa=12 The Taylor series of a function f(x) at x=a is given by fx=f...

Q: 3. 4 cos 2 s2-4sin = 5 %3D -

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Q: 11. Evaluate the integral sin(y*) dydx.

A: To solve this Intergration we have to use the concept of change of order of integration. 

Q: +o0 2" +1 3" +n n=1

A: Let's find. 

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Question Find the derivative of f (x) = log, (5x³ – 3x2 – 6) at the point x = 3. - Enter an exact an...

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Q: 2. S(7x3 – 5 V +18* +x-40 ) dx x3 C 7 x*. 10 x3/2 + 12x³/2 x-39+C x*.10x3/2+12x-3/2.1x-39 C 4. 39 4 ...

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Q: asap

A: We will find the value of the constant. 

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Q: Find the area between the curves y 0.7x and y = 2.4x +1 from x = 0 to x = 4. = e Area =

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Q: 6. 2x3+3x dx x4+3x2 C 1 In lx* + 3x21 + C + C In(x4+3x2) 1 1 In Ix + 3x21 + C +C 2 In(x4+3x2) A B O ...

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Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

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A: Topic: sequence and series  

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Q: Solution of ODE: Find the solution for the following ODE y' = 2y O y = ce2r O y = 2ce"

A: Topic - differential equation 

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Q: Evaluate: 5!+ (4! 1!)

A: The given expression,      5!÷4! 1!

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A: 4x^2+1 cannot be fractionised further

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Q: How

A: We will find the solution.