Find the solution of the following Differential Equations 2) y"-16y 0

Q: 2. Differentiate the following. Simplify your derivatives as much as possible. f(x)= (3x² – 4) |b) y...

A: As per our company guidelines we can answer only three subpart question at a time so if you nee more...

Q: 1. Assume the graph pictured below is the graph of a function (x). Use this graph to answer the ques...

A: Solution of question is written in below steps.

Q: The leading behavior h(infinity)(x) for h(x) = (1.3x+(x^3.2)+(e^2.4x))/(1.3+3.2x+(2.4x^2)) at infini...

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Q: 5. THE NORMAL COMPONENT OF ACCELERATION OF AN OBJECT MOVING WITH VELOCITY VIN A CIRCLE = fcv,r) = r ...

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Q: dy 9. Find for y=xVx+ 1

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Q: 11. In x)3 dx 4x

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about ...

A: solution:-the region bounded by x=y2, y=5 and the y- axisrotationg about the x-axisusing the shell m...

Q: 2. f (x) = (x³ – 2a² + – 6) (2a² – 2x + 4) - -

A: Given problem:- f(x) = ((3/4) x3 - 2x2 + x/4 - 6)(2x2 - 2x + 4) Find derivative using product rule

Q: Iff is a one-to-one function with f(9) = 3 and f'(9) = 2, find the equation of the line tangent to y...

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Q: Directions Show the following x-6xt3 is continuour on the in terval [-8,2]. |

A: To show that the given function is continuous in the interval [-3,2]

Q: dy If y = (t² + 7t + 5) (2t² + 6), find dt

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Q: (4n)2n 'n 2n -n=1

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Q: For what numbers​ x, −2π≤x≤2π​, does secx=​1? For what numbers x does secx=−​1?

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Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extrema if any...

A: Question- F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extr...

Q: find the derivative of y=4e^-2/t

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Q: Calculate the integral of f(x, y, z) = e over the tetrahedron W in the figure (the region in the fir...

A: To solve the given triple integral. 

Q: Evaluate using the Reimann Integral: S (a2 + 5) dæ 128 3 100 3 128 None of the choices. Please refer...

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Q: Given et = x?-3y? X-ZY dy 9.) use ismPlicit differentiation to find b.) Find the equation f the tang...

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Q: Applying the quetient rule, what is w() if hG)-

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Q: y2 – 2y + 3 2.5 Vy3 - 3y2 + 9y – 21 dy

A: 2.)∫y2-2y+3y3-3y2+9y-215 dy=13∫3(y2-2y+3)y3-3y2+9y-2115dy=13∫3y2-6y+9y3-3y2+9y-2115dy=13∫y3-3y2+9y-2...

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per mon...

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Q: 4[xn+f(xn=1)] p'(xn-4) criterion is x 0.102.

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Q: Find dy/dx y=4sin(x)-5cos(x)

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Q: y = cos(x In 3) log3 (sin x) is: cos (x In 3) y': In 3 cot(x) cos(x In 3) - sin(x In 3) In(sin x) - ...

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Q: Solve the given system of differential equations by systematic elimination. (D2 – 1)x - y = 0 (D – 1...

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Q: Between 0°C and 30°C, the volume V ( in cubic centimeters) of 1 kg of water at a temperature T is gi...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: The region bounded by the curves,x=23y ; x=0 ; y=5

Q: What are the inflection points?

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Q: find (y') by Implicit differentiation x² tan(y) + y10 sec(x) = 2x

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Q: Tank A contains 402 litres of brine holding 123 N of dissolved salt, and tank B contains 402 litres ...

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Q: Given z1 = 2 - i sqrt 5 and z2 = 2 + i sqrt 5 find z1/z2

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Q: Write an equation for the function graphed below 5+ 7 -6 5 -2 6.7 -2

A:   From the given figure, the vertical asymptotes are x=-3 and x=5, the horizontal asymptote is y=2 a...

Q: 3 7 htx) 7 22 h'(x) 5 10 90. Selected values of the increasing function h and its derivative h' are ...

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Q: Write an equation in vertex form a(x-h)^2+k for the quadratic graphed below -5 4 3 -2 2 3. 4 -4 of y...

A: Find your answer below 

Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n3 + n2 + 1 n=1

A: Given series ∑n=1∞5n-cos2nn3+n2+1 now we use the limit - comparison test

Q: 2. S(2 – 3e*) dx

A: According to given , only 2 solved .Given :∫2-3exdx

Q: Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the so...

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Q: Let a = ci +jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four ...

A: Given :a=ci+jb=3i+4jangle =π6

Q: Directions: Evaluate the following integrals. Show your complete solutions. Identify the u and the d...

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Q: A new cell phone is introduced into the market. It is predicted that sales will grow logistically. T...

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Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n n3 + n2 +1 n=1 converges or diverges...

A: Using P and comparison test. 

Q: Anote card company has found that the marginal cost per card of producing x note cards is given by t...

A: To find: The total cost of producing 580 cards. Given information: The marginal cost per card of pro...

Q: Directions! show the following. f3-x x22 is dircontinuons on the interal (-,2| %3D -3

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Q: Use the definition of the Taylor series to find the Taylor series for f(r) = centered at a =1. (List...

A: To find the Taylor series for f(x)=e2-x centered at a=1. Concept used: The Taylor series can be expr...

Q: ind the second derivative of y=x^cosx

A: Given y = xcosxapply ln on both sidesln(y) = ln(xcosx)ln(y) = (cosx)ln(x)    ----(1)                ...

Q: Consider the function f(x) : 822 + 7 Recall that the definition of the derivative given in the book ...

A: We have to solve for derivative

Q: An engineer and his helper can do a certain job in 5 hrs. On a given day, they work together for 2 h...

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Q: Let R be the region in the first quadrant which is below the cur curve y = sin æ, above the x-axis, ...

A: We have to write the definite integral for the volume

Q: Suppose D is the region bounded between the z-axis, the curve y = e", and 0 <I<1. Compute the integr...

A: Use simple integration formula.