Solve for the Derivatives of the following functions. Final answers should be in simplified form y= tan³ (5x²-2)

Q: Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1

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Q: An arch in the shape of a parabola has the dimensions shown in the figure. How wide is the arch 7 ft...

A: An arch in the shape of a parabola has the wide 18ft and height 9ft.

Q: 9 Find the length of the curve x = on 3sys5. %3D 27' 4y The length of the curve x = 9 - on 3sys 5 is...

A: We have to find arc length of give curve.

Q: Estimate the slape of the line rom Its graph.

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Q: find the fur pose of the function- and give the reason. メ * x²4+ 3× メ<t

A: Follow the procedure given below.

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: Solve (D² – 1) y = e-2* sin (e-*)

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

Q: Exercise 1: Directions: Evaluate the following integrals. Show your complete solutions. Identify the...

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Q: An open rectangular tank of length 2x meters, width a meters and height h meters is to be constructe...

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Q: The functions f(x) = −(x + 4)2 + 2 and g(x) = (x − 2)2 − 2 have been rewritten using the completing-...

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Q: Tunorial ExSICISS And any Intercepts. 49x Step 1 To And the y-Intercepts, letx be zero and solve for...

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Q: Choose the correct graph of the function (in blue) and its derivative (in red) below. O B. c.

A: We will use the fact that where the function has maxima and minima derivative graph will show value ...

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

A: Given: So,               ∫lnx34xdx=14·∫lnx3xdxLet u=ln x=14·∫ u3du=14·u44Substitute back u=lnx=14·l...

Q: Question 3. Let a € (0,1) and define f : T→R by 1 f(x) = sin(nx) na n=1 for all r E (-T, 7]. Prove t...

A: We have

Q: Solve log3 (2 – æ) = 3. |

A: Solution: log3(2-x)=3

Q: A tank in the shape of an inverted right circular cone has height 9 meters and radius 19 meters. It ...

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Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x %3D

A: Given : y"-y'-6y=exp(-x)-7cosx

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. 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: 9. S sin(4x – 2) dx

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

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Q: Solve the given system of differential equations by systematic elimination. (D2 + 2)x - -2x + (D2 + ...

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Q: A force of 2 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How m...

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Q: Use implicit differentiation to find y' and then evaluate y' at (3,4). 8x² - y³ - 8 = 0 y' =| y'l(3,...

A: ddxfx±gx = dfxdx±dgxdx dafxdx=adfxdx dxndx=nxn-1.

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

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Q: x' - x' – 3x – 2 dx x* - x' + 4x? - 4x

A: We will solve the integration using partial fraction. 

Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

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Q: 4. A container with square base, vertical sides, and open top is to be made from 1000 ft2 of materia...

A: Volume of box is x2 y where x is the base and y is height of the box. 

Q: For the function y 8 f(æ) = 1+ x² ' a. Find the slope of the line tangent to its inverse function at...

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Q: A cell of some bacteria divides into two cells every 50 minutes. The initial population is 5 bacteri...

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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: Question 8 Integrate the function. dx V9 - x2 COs:1 X+C 2 cos x+ sin x+C D sin *-C Question 9 413

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Q: A. Find the equations of the xy, xz, and yz traces of the function z = 4 – 5x2 – ly?. The xy-trace i...

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Q: Write an equation for the function graphed below -7 -6

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Q: Use the determinant theorems to find the value of the determinant. -4 5 - 1 8 - 1 4 - 7 9 8 3 1 1 Th...

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

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Q: 2 + Vx lim 2 – Vx x→00

A: Solve for the limit

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

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Q: uaponbo Duwoyo an pooO *+1 And any Intercepts. (If an answer doc not edst, cnter DNE.) x-Interoept (...

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercept, take y=0 here ...

Q: 15. S 4cot 5x csc25x dx

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Q: Answer the following equations for fu the dereviative of (fg)(x) by using the differentiation o the ...

A: We have to find the derivative of the following given function according to the given information

Q: The concentration of a drug in the bloodstream C(t) at any time t, and hours, is described by the eq...

A: The concentration of drug reaches its maximum when                         C'(t) = 0find the values ...

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

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Q: 13. dx x5-3

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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: 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: n? Write an inequlity comparing n5 1 for n > 1. n3 - 4 with + 4 (Express numbers in exact form. Use ...

A: Solved below

Q: A tank initially contains 180 L of pure water. A mixture containing a concentration of y g/L of salt...

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