The sin(5x + 2x) dx cos5xcos 2x is equal to 2 In(sec 5x) + 5In(sec2x) +C А. 10 In(sec 5x) + In(sec2x)+ C В. 7x 5 In(sec 5x) + 2 In(sec2x) + C C..- 10 In(sec 5x) + In(sec2x)+ C D..- 10 E.None of the above O A B O Q E

Q: se cond derivaihve frs 24 (X+3) ³ funcfioN fo= X_2x-3 メ+3 use secend derivactive to idenhify interva...

A:

Q: A projectile is fired at the angle of 30° above the horizontal with a muzzle velocity of 460m/s. Fin...

A: Find your answer below 

Q: Consider the function. f(x) = -2x3 + 12x² – 24x + 15 Step 2 of 2: Determine the open intervals on wh...

A: the given function,     fx=-2x3+12x2-24x+15

Q: A manufacturer has discovered that if x units of a certain item are produced per week, the marginal ...

A: To find: The maximum weekly profit that can be made by producing x units of that item. Given informa...

Q: Determine if -1 CSC 1 if 0 1 1 is continuous or not at r =; and 1. If it is discontinuous, identify ...

A: Given is the question of Continuity.

Q: Consider the following function. x2 xp (a) Determine an appropriate trigonometric substitution. O Us...

A:

Q: lim -Vx + e* + sin(x)cos(x) 1+ In (x)

A: limx→3-x5+ex1+ln(x)+sin(x)cos(x)=-35+e31+ln(3)+sin(3)cos(3)

Q: _3. The equation of the tangent line to the function f(x)=-- at (-5,) is x-3 7. y = x- 25 1 25 4. Th...

A: Topic:- function and derivatives   

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A:

Q: Every function defined on a closed interval [a, b] must have a global maximum and a global minimum o...

A: Every function defined on a closed interval a,b must have a global maximum and a global minimum on a...

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

A: The given sequence converges.

Q: Let the region R be the area enclosed by the function f(x) = ln(x) + 1 and g(x) = 3/4 * x - 1 If the...

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

A:

Q: 2. In r dr

A: Determine whether the improper integral is convergent or divergent.  The integral is ∫01 lnx dx Form...

Q: Suppose f'(x) is continuous for all x, and the only extreme value of f(x) is at x = 6. Complete the ...

A: Let's find. 

Q: 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to the line y = 3x + 1 (Hi...

A:

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: The given data is: fx=6cosπx Use the method of cylindrical shells to find the volume of the solid

Q: 2x – x3 dx J (x – 1)2(x² + 1)

A:

Q: Solve the systems of equation: Equation 1: x + 2y + 3zi = 20 + 5i; Equation 2: 5x - 3yi + 12z(1-2i) ...

A: I am attaching image so that you understand each and every step.

Q: 1 + 10/x| dx 3x3

A:

Q: so

A: We will find the appropriate solution. 

Q: Given the graph of y=f(x), determine a general equation for a family of polynomials with the same en...

A: Graph of the function is given, we have to find its family of function

Q: Differentiate the following function. 8. L(t) = Vt L'(t) =

A: Explained below 

Q: Use undetermined coefficients to find the particular solution to y'' + 4y' – 4y = 7t² + 4t + 6 Yp(t)...

A:

Q: Evaluate the following integral xVx + 1dx 5/2 (x+1)^(2/5) -2/3 (x+1)^(3/2)+c 2/5 (x+1)^(5/2) + 2/3 (...

A:

Q: III. Find the limit, and when appropriate, indicate the Limit Theorems being applied. 5+ 2x 1. lim r...

A:

Q: A cup of coffee, cooling off in a room at temperature 24°C, has cooling constant k = 0.108 min -1 (a...

A:

Q: 2. -2 2. -2 ere does f have absoluteminuMums absolute minimum is ph h o ccurs at x= edees f have abs...

A: To find the absolute maxima and minima of the function from the graph.

Q: Given the vectors M=-10ax + 4a, – 8a: and N=8ax+7ay – 2a:, find: (a) a unit vector in the direction ...

A: We can find the following answers as follows

Q: Find the radius of convergence and the interval of convergence. 00 (x – 3)* 2* k=0 1) First apply th...

A:

Q: lim + sin(x)cos(x) 1+ In (x)

A:

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 00 Σ f(x) =...

A:

Q: An equation for a quartic function with zeros 4, 5, and 6 that passes through the point (7, 18) is a...

A:

Q: Let A = and B , P = (9, 8, 7) c. find an equation for the plane containing A and B and the point P....

A:

Q: 7. For the following complete the square and find the vertex form of each quadratic function. Then g...

A:

Q: The graphs of x = 4, y = f(x) (s

A: Volume =∫ab A(x) dxA(x) = π[(Outer radius)2-(Inner radius)2]  

Q: 1 dx x /1 – (In x)² 1

A:

Q: The voltage V across a resistor in an electric circuit is the product of the resistance and the curr...

A:

Q: Define

A: We will define continuity at a point as well as in a interval. 

Q: don’t do a, b or c

A:

Q: Find the DE of y2 =Ax+B A. y' = VAx + B %3D B. yy" + (y')² = 0 C. 2yy" + (y')² = 0

A: Please refer to the image below

Q: X+2

A:

Q: We say that the vector field F is conservative if and only if V × F = 0.

A:

Q: 3) y =-1+ 3cos 0 T元 3元 2元 5元 3元 一2 不一2

A:

Q: sec2 2X ton 2x ok At ton ?2x

A: Find the integral

Q: Find the DE whose general solution is y = Ae Bx A. yy" - (y')2 = 0 B. yy" + (y')2 = 0 C. yy"- y' = 0...

A:

Q: 3. A woman in a hot air balloon drops her GoPro Hero 10 when the balloon is 175 ft above the ground ...

A:

Q: Determine the equivalent when (8+8i) is raised to 1-i. Express your answer in a rectangular form in ...

A: We have to find 8+8i1-i=?   The magnitude of 8+8i is = r=82+82=128=82 The argument of 8+8i is = θ=ta...

Q: 5. (xy² +y – x)dx + x(xy + 1)dy = 0 6. (1– xy)-²dx + [y² + x²(1 – xy)-²]dy = 0; when x = 2, y = 1 7....

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any sp...

Q: d²y dx? 3 y = 1/2 dy/dx = -1 when x = 1 | |

A: