Directions: Solve the following. 2.) what is f') if (x) - (2x² +1) (X-x) ?

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y ...

A: Given: y=1x, x=1, x=6, y=0 From the given curve the bounded region is as shown below; Apply the dis...

Q: Given f(x, y) = a° + 3xy“ – 2y°, find

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Q: Let x be a continuous random variable over [a,b] with probability density function f. Then the media...

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Q: ganbo SuNa an oRYS Finc any Intercepts tercept Petercepts (smaier yviue) C )- rger yvalue) Test for ...

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Q: lim ("V52"-1

A: Given: limn→∞52n-12n   We know that the radical rule; amn=amn

Q: A particular computing company finds that its weekly profit, in dollars, from the production and sal...

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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: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a...

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Q: Find the area of the triangle with vertices P(1,5, –2), Q(0,0,0) and R(3,4, 1). NOTE: Enter the exac...

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Q: m 1 Find the Let x be a continuous random variable over [a,b] with probability density function f. T...

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Q: Find the absolute maximum and minimum values of the function on the given set R. (x,y)=(x-2)'+y'; R-...

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Q: Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

A: Question- Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

Q: 0. Reciprocal Substitution (x´ - x')"3

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Q: Solve the given third-order differential equation by variation of parameters. y'' + y' = cot(x) y(x)

A: First we write complementary solution then find particular solutions then find general solution. 

Q: S (1 – cot² x) dx b)

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Q: Solve (D² – 1) y = e-2* sin (e-*)

A: Given differential equation (D2-1) y=e-2x sin(e-x)

Q: Solve the given system of differential equations by systematic elimination. dx 20y dt dy = x + z dt ...

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Q: (4,-) Find the orthogonal coordinates of point P in a plane whose polar coordinates are

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

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Q: Use substitution to change the integral (3x + 4y)dA over the parallelogram with corners (0, 0), (...

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Q: 2. S(2 – 3e*) dx

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

Q: A cherry with a temperature of 25 °C' was submerged in a punch of vodka of temperature 5°C. After a ...

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Q: C(x) = 0.01x-0.3x + 9x gives the cost, in thousands of dollars, to produce x thousand items. (a) Fin...

A: (a).C(x)=0.01x30.03x2+9xC'(x)=0.03x2-0.6x+9 (b)C'(0)=9    

Q: 5n – cos 2n 3. Use Comparison Test to determine whether the series converges or diverges. n³ + n² + ...

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Q: x² +1 dx. Vr3 + 3x Evaluate

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

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Q: Verify that the series Σ n=1 satisfies the conditions of the Integral Test, then use the Integral Te...

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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: find the second derivative of y=[(tane^3x)+(e^tan3x)]

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Q: suppose for a particular commodity, e=.25 and that currently 90,000 units are selling for $6 each. H...

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Q: by L'Hopital's rule 3 sin 0 lim

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Q: Whose ares is given by the double Integral. 1 2 5 6 7 1 2 3 4 5 6 7 8 Change the order of Integratio...

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Q: Compute the derivative: d I/ In(t° + 1) dt dx

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = In(x2 + 3x ...

A: Given that the function is       f(x) = ln(x2+3x+4) , [-2,2] Here we have to find the absolute minim...

Q: cosh?x-sinh²x = 1 %3D

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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: Evaluate by any applicable method. 1/2 5-x dx 4x2+1 O None of the choices. Please refer to my soluti...

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Q: for a given function f (t)= f(-t).  what type of symmetry does f(t) have

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Q: A bacterial population is 2000 at time tea equals zero, and it’s rate of growth is 1000×2^t bacteria...

A: We have to find the population after one hour

Q: Solve by Chain Rule 8 poir f(y) = /2y + (3y+ 4y²)³ %3D

A: Here clearly not mentioned, what to do with this question, but as we know chain rule is applied to d...

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

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 1 and x = 3 x-intercept...

A: Question- Write an equation for a rational function with:   Vertical asymptotes at x = 1 and x = 3  ...

Q: Use a graph to estimate the critical numbers of f(x) = |x² – 10| – 5x correct to two decimal places....

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Q: For which values of p does E converge? n=1 (n°+7)*5 (Use symbolic notation and fractions where neede...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an f(x)...

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Q: 9. S sin(4x – 2) dx

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

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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: 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: Solve by Chain Rule g(t) = sin³ (e1-t + 3 sin(6t))

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