y = cos(x In 3) log3 (sin x) is: y 3D cot(x) cos(x In 3) – sin(x In 3) In(sin x) y' cos (x In 3) - sin(xIn 3) In(sin x) y' In 3 In 3 Dthe above O the above cot(x)cos(x ln 3) cot(x)cos(x In 3) + cos(x In 3) In(sin x) sin(x In 3) In(cosx) In 3 In 3

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 axes of two circular cylinders of radius a intersect at right angles. Show that the volume commo...

A: 8∫0ady∫0a2-y2dx∫0a2-y2dz = 8∫0ady∫0a2-y2dx (a2-y2)8∫0ady∫0a2-y2dx∫0a2-y2dz  =8∫0ady (a2-y2)8∫0ady∫0a...

Q: . We are given r'y-5x+24y 6/ỹ, where x and y are both functions of t. If dx = 2, x= 1, and y=9, what...

A: Given query is to find indicated derivative.

Q: Write out first five terms of the sequences, determine whether, the sequence converges, and if so, f...

A: We have to find the limit of the sequence and find first five terms

Q: Solve the given differential equation. 25x?y" + 25xy' + y = 0 y(x) = ,x > 0 %3D

A: We have to find solution of given differential equation.

Q: 1 Let an = n > 3. n ýln n Without computing any limits, use the Monotone Convergence Theorem to dete...

A: Given

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

A:

Q: . Find (f o g)(x) for the pair of functions. f (x) = x – 3 g(x) = 6x + 8 (fo g)(x) =

A:

Q: With x people on board, a South African airline makes a profit of (960−3x) rands per person for a sp...

A: Given problem:- With x people on board, a South African airline makes a profit of (960−3x) rands per...

Q: The population of Angeles City in 1829 when it became a separate town from San Fernando is known to ...

A:

Q: х — х? -Зх- 2 dx - x' + 4x? - 4x | 4

A:

Q: d²y x+2 for y=- X-3 8. Find dx2

A: Differentiate with respect to x. 

Q: find the second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

Q: 7. The population of a certain city in Northern Ontario can be modeled by P(t) = in years from 2010....

A:

Q: Write the general antiderivative. (Use C for the constant of integration.) x2+1 dx 5x Need Help? Rea...

A:

Q: f(x) = 1– 2x – x2

A: Nothing is clearly mentioned here so i am solving it by considering that you want to differentiate i...

Q: Evaluate the integral Sr 8ry dA, where Ris the triangle 8x + y 0, y > 0.

A:

Q: Given f(x)=x+2Jx. Use the definition of derivative to find f'(x).

A:

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

A: We will solve the integration using partial fraction. 

Q: What are the inflection points?

A:

Q: dx I [; (1-2x) I= [sin (4x) cos(4x)dx (In(x))3 dx I

A: Given

Q: Determine the following limits. If the value is infinite, specify c∞ or -o with enough justification...

A:

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

A:

Q: Let u = (-3,4) and v = (2, –5). Find (a) the component form of the vector 3u – 4v and (b) its magnit...

A:

Q: Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with ra...

A:

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

A:

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

A:

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

A:

Q: 7. Se* (1 + 2e*)* dx

A:

Q: 4. An anagram of a string of letters is a rearrangement of the letters so that there is a change of ...

A:

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

A:

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

A:

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 the differential equation modeling this situation. dy dt

A:

Q: lim ("V52"-1 52n-1

A: F

Q: suppose a baby food company has determined that its total revenue R for its food is given by R= -x^...

A:

Q: (3tanx-2cosy)sec²xdx

A: We will solve the differential equation. 

Q: Using integration by parts and taking a > 0, the integral x In(ax)dx is equal to: In a 2 In(2a) - 3 ...

A:

Q: Find the open intervals on which the function f(x) = ax? + bx + C, a0, is increasing and decreasing....

A: f(x)=ax2+bx+cf'(x)=2ax+bcritical point:f'(x)=02ax+b=0x=-b2aFor a>0,f is increasing on (-b2a, ∞)be...

Q: 2. Use the Integral Test to determine if the series 1 (n+ 2)/4 n=1 converges or diverges.

A: Given problem:-

Q: Solve the following linear differential equation

A:

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

A:

Q: Eliminate the parameter: I=e+t,y= e-t

A:

Q: Evaluate the integral: 1 2x + 4 dx x² +1/

A:

Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range 

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?.

A: Given : h = 4(21-x) x = 12.92 cm  

Q: Verify that the series n4 + 1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

A:

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

A:

Q: 11. In x)3 dx 4x

A: