2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t? – 4t + 2 a. when x = 1 and y = – 4 y =t - 2t? + 2t –5

Q: What type of critical point is located at x =-6, if ƒ '(x) = (x – 2)(x + 6)?

A: This question is based on application of derivative.

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A: We know that if we integrate the acceleration function then we get the velocity function . we used…

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Q: what

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Q: The integral (4 – y²)²dy represents the volume of a solid. Sketch the region, rectangular element,…

A: Here, the given integral is: ∫02π(4-y2)2dy which is of the form  π(outer radius)2-(inner…

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Q: The interval of convergence of the series 41+2n (x+3)" is - -- 5n+1 16 16 Select one: O True O False

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Q: 24 – 49 dy 2+ 49

A:

Q: Find all the local maxima, local minima, and saddle points of the function. 4x² + 4y² - 32x f(x.y) =…

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Q: 2x S dx 4e2x –8eª +5

A: Procedure is correct but there are few errors in some of the steps.

Q: Solve the following initial value problem. f′′(x)=36x^2+30x+8, f′(−2)=−42, f(−2)=−15

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Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 1 9n2 + 8 n- 1

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Q: .C find the firet order parhal dervohve f 4.5 1. z) = e 32 W="y - 10y2³ + 432 hCs, t) =° t?In ts) +…

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Q: 4-P(1+) che model A=Pe or A=P|1+- ] ,where A is the future value of P dollars invested at nuously or…

A: we have to find the interest rate

Q: Let p(x) be a polynomial of degree 3. Its derivatives, around the point æ = -5, are as follows:…

A: solution:-let p(x) be a polynomial of degree 3p(x)=ax3+bx2+cx+dwhere a,b,c &amp; d are parametersat…

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

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Q: For the parametric equation shown below, determine the value of (dyldx) and (d?y/dx?). x= 3t? – 4t+2…

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A: Given :d3ydx3+6d2ydx2-15dydx-100y=0

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A: We are asked to find which is decreasing

Q: 19. cos (20) 1/2

A: We will find the value of θ in the following step.

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A: Given query is to find series converges or diverges.

Q: 24 – 49 dy 2+ 49 с.

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A:

Q: the

A: We will find the distance.

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A: The objectives to find the solution of the system.

Q: ladder away

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Q: Find the total differential du. 1. w = y tan a? – 2xy

A: To find the total derivative

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A: Answer is in next step     option  E is correct.

Q: parhod derivohve of 4,5 43 6- 13

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Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

A: To find out the correct options.

Q: 6 I invest a sum of money at a nominal rate of 6% per year. Find the effective yearly interest rate…

A: Given query is to find effective interest rate.

Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)^ - 1 5+ 7n n-…

A: Here, the given Alternating series is: ∑n=1∞(-1)n-15+7n

Q: 00 Write the Taylor series for f(x) = e* about x = Σ- 3)". 3 as n=0 Find the first five…

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Q: (1) lim (In ) = z (x1 (j) lim rsin z x→0+ sin 2x + 2 arctan 3x + 3x2 (k) lim x→0 In (1+3x + sin? x)…

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Q: 13. Evaluate the function. Give the exact value. cos tan (V3) cos(arctan( v3% )= 0.5

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Q: y 10 X -5 5

A: Range is all the possible value of y that is output of  defined x

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Q: The interval of convergence of the power series x2n Σ (-3)" n=1 is:

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A: We have to find changing the surface area

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A: